diff --git "a/data/dm_maths/full_data/1788_11255.jsonl" "b/data/dm_maths/full_data/1788_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1788_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the units digit of 18573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a microgram in nanograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769833 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -1.78686667644?\nAnswer: -6.78686667644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -l + 53241, 5*l = -5*v + 41049 + 25506. What is v rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 0*q + 114 + 35. Let p(z) = -2*z - 24. Let s be p(-12). Is a(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -15, 2*t + 2*t = m + 15. Suppose 7*r = m*r + 16. What is the lowest common multiple of 17 and r?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 91\/105 + (-13)\/15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766093 to the power of 1\/2, to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:58 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - s + 73, 0 = -2*b + 4*s + 44. What is the highest common factor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/6 - 3*h**3 + 14*h**2 - 100*h. Determine j, given that r(j) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -0.2, -2\/39 in increasing order.\nAnswer: -0.2, -2\/39, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112230 by 133.\nAnswer: -112230\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14778 and 10152486?\nAnswer: 10152486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by 520?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/457 + -22769\/12339. Is -1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*l + 927*g**2*y + 3*g**2 - 5*g*l*y - 46*g*l + g - 21*l*y - 2*l wrt y?\nAnswer: 927*g**2 - 5*g*l - 21*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/9, -5, -1\/5, 12 in decreasing order.\nAnswer: 12, 13\/9, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 - 394*b - 394*b + 1185*b - 391*b = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.68 - -1.6. Let p = w - -0.17. Let r = p + -0.111. Round r to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 123, 1219, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1113354686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30030224 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(112\/10) + 2\/(-8) + 335. What is the greatest common divisor of l and 1218?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27442 - 27432. Let f(s) = 4*s**2 - 7*s + 3. Let b(a) = 3*a**2 - 7*a + 4. Let o(n) = 5*b(n) - 4*f(n). Let y be o(-8). Solve i*j - 9*j - 2 = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42815, -172907, -389727, -693275, -1083551, -1560555?\nAnswer: -2124287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 194094.\nAnswer: 1940940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 14 = o. Suppose 0 = 2*d - g - 7, 0 = -5*d + 3*g - 7*g + 37. Suppose 0 = 2*c - o + d. Which is greater: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (332\/498)\/((-2)\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 - 1?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -253988*u. Let w(i) = 395*i. Calculate -1930*w(p) - 3*z(p).\nAnswer: -386*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15558 + -15131. What is the highest common factor of 3721 and p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27454 and -27416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 474 + -811. Let w = -190 - x. Calculate the greatest common divisor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24211*h**4 + 7169*h + 321542701 wrt h.\nAnswer: -96844*h**3 + 7169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10060 - 1435. What is the greatest common divisor of 125 and f?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 41 - 13 = -18. Let v(n) = -2*n**2 + 9*n + 4. Let m(x) = 2*x**2 - 10*x - 3. Give y*m(g) - 3*v(g).\nAnswer: -2*g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k - 5. Calculate the remainder when l(-3) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 2 - 2 + t**2 + t**2 - 3*t**2 + (20*t + 45*t + 105*t + 0*t - t + 3*t + (4*t - 3*t - 3*t)*(2 + 3 - 3) + 0 + 0 + t)*(4*t + 2*t - 2*t)*(2 + 1 + 0).\nAnswer: 2028*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/216 + 5314\/16 + 1. Let d = 604 - u. List the prime factors of d.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s**2 - 3*s + (-1 + 2*s + 1)*(-5*s + 0*s + 4*s))*(-1 - 3 + 16).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210 + 189 - 70)*(3 - 2 + 0)*(-4*f**4 + f**4 - f**4).\nAnswer: 364*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:25 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110805772 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -11532*q**2 + 476656*q + 124*q**3 - 115 - 1\/2*q**4. Solve c(a) = 0.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 96. Calculate the smallest common multiple of 24 and l.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100121 (base 5) to base 16.\nAnswer: c59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1064 - 1064.4. What is the fourth biggest value in f, -1, -5, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + 16431?\nAnswer: 16472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 491?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5995002 millimeters?\nAnswer: 599.5002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 8:19 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -85*s**3 + 14*s + 15. Let c be x(-1). Calculate the greatest common factor of 129 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48a41 + -2?\nAnswer: 48a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1457496840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 + 47*t + 2*t**2 - 20*t - 3 - 2*t**3 - 23*t + 2*t**4 in the form s*t**2 + p*t + g*t**3 + j + m*t**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 1.739. Let x = l - 1.999. Round x to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-50)*(-90)\/27)\/(14\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 92*i**2. Let k(s) = 6*s + s + 10 - 10 - 4*s. What is k(v(m))?\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 + 2\/6. Let p(a) = 6*a**2 + 251*a + 199. Calculate the common denominator of (3 + -11)\/(-5*i) and p(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -1.2 (c) -2\/11 (d) 5 (e) -5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192592 is divided by 415.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147179 + 294359\/2. Solve u*t**2 + 338 + 26*t = 0 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012297107 to seven decimal places.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2344\/11 + -213. Which is the nearest to q? (a) 1 (b) -1 (c) -2\/5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.869*-32445.\nAnswer: -352644.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -351860 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -361, -574, -853, -1216?\nAnswer: -1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.273*0.2818.\nAnswer: 0.6405314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16327\/10 - -1631. What is the common denominator of 27\/157 and q?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*i + 5 = 0, 4*z = 4*i - 22 - 14. Put -3, z, 18 in descending order.\nAnswer: 18, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-33)\/9. Let r(m) = -5*m**2 - 5*m - 5. Let j(x) = -4*x**2 - 5*x - 5. Let o(n) = -4*j(n) + 3*r(n). What is the units digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*a - 576, 2*a - 4*r = -2*a + 556. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12134, 296, -3 in decreasing order.\nAnswer: 296, -3, -12134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*j = 342, -2*z - 6*j = -7*j - 345. Is z\/5 - (-4)\/(-10) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78967*i**5 - 2*i**2 - 336594*i - 2?\nAnswer: -1579340*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -419, -137, 333, 991?\n\"Answer: 94*j**2 - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 9, -3 - 12 = 4*a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-4))\/(-5)*24. Let h = q - -19. Suppose 20 = 5*v + x + 3*x, -h = v + 3*x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (253\/(-22))\/(-1*1\/(-2)). Do -22 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 41*y = -8640. Find the second derivative of 140*b**4 + 3*b**2 - 3*b**2 - 10*b - y*b**4 wrt b.\nAnswer: -2160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*h + 375 = -77*h. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 32*j - 7. Let t(l) = l**2 - 8*l - 2. Let a(u) = -2*b(u) + 9*t(u). What is a(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -7*h. Let u = 43.0687 + -0.0687. Which is the fourth smallest value? (a) h (b) -0.3 (c) 1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 43636*h\/11 - 87280\/11.\nAnswer: 2*(h - 2)*(h + 21820)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9 - 5.6.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from xcxxxcx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 4*y + 0*y**2 + 0 - 1\/6*y**3. Let h(p) = 2*p**2. Calculate l(h(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 21*v**2 - 10*v + 203. Let x be p(-20). Sort 0.03, -1, 5, 1, x in increasing order.\nAnswer: -1, 0.03, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 27. Let u(x) = 2*x + 5366. What is u(o(i))?\nAnswer: 2*i + 5420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(70) - -1*sqrt(70)) + (2*(sqrt(70) - (sqrt(70)*1 + sqrt(70) + sqrt(70))) + sqrt(70) - sqrt(70)))\/(sqrt(80)\/(sqrt(56)\/(3*sqrt(7)))) + -4)**2.\nAnswer: -64*sqrt(7)\/3 + 592\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 22.103. Let f = n - -3.897. Let v = -4.2 - -4. Which is the closest to v? (a) 3 (b) -1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -13, -52, -125, -244, -421, -668?\n\"Answer: -2*u**3 + u**2 - 6*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, -5, -12, -10, 2, 121.6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose 3*t - 18 = -5*w, w = 2*w - t - q. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 2 f when four letters picked without replacement from rrffwrqqwwcw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 519.\nAnswer: -155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(325) + 0 + (sqrt(13) + sqrt(208) + sqrt(13))*6 + -1 + sqrt(13) + 1)**2.\nAnswer: -420*sqrt(13) + 22957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.91 - -22. Let u = 0.01 + t. What is the biggest value in -1\/4, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x + 7. Let i be n(-5). Let l(q) = -q + 5. Let y be l(2). Let t = i - y. Sort -4, t, 2 in decreasing order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7148719 is divided by 167.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-148)\/(-48) - 1 - 2. Let d(c) be the second derivative of 0*c**3 - 1\/2*c**2 + 2*c - q*c**4 + 0. What is the derivative of d(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - v + 1525 = 1587, -v = -2*k + 30 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6972 by -4.\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 at most as big as -26390\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/((-332)\/(-80) - 4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/22155 and 98\/165.\nAnswer: 243705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) -1\/3 (c) 529\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61036*k**2 + 11047520*k - 724.\nAnswer: -4*(k - 181)*(15259*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - 4*sqrt(72))\/sqrt(4).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-150)\/(-20))\/((-2)\/(-2280)). Suppose -20*o + p = 30*o. Calculate the greatest common factor of 45 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474435 divided by -12165.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (-14 + 18 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let y(u) = -408*u**2. What is y(p(s))?\nAnswer: -408*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 5*g**3 - 320*g + 0*g**2.\nAnswer: 5*g**3 - 320*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90.7 - 86. Let b = h - 0.7. What is the third smallest value in -4, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190 + -195 - (-2 - -5 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 + 3 - 2*o**2. Let p(c) be the first derivative of -16*c**3\/3 + 165. Determine p(m(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 3*j**2 - 2*j + 36. Let t(l) = -l**3 + 3*l**2 + 18*l - 45. Let w be t(5). Let y be m(w). Let q(p) = -p**2 - p + 7. What is q(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23898 and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-182)\/(-26))\/(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 4, x: 10}. Give prob of sequence kka.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, -21, 19 in descending order.\nAnswer: 21, 19, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/16830 and -61\/360.\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 - -2001122?\nAnswer: 1221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 827.92 to 0 decimal places.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.91 - -0.09. Let s = 3.3 - p. Which is the third smallest value? (a) -4 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3069*p**2 + 248*p - 248. Let r(m) = -5 + 208*m**2 + 240*m**2 + 5*m + 276*m**2 - 662*m**2. Determine -248*r(s) + 5*u(s).\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**2 + 25*a + 13. Let x(b) = 10*b**2 + 24*b + 11. Calculate 4*o(m) - 5*x(m).\nAnswer: -2*m**2 - 20*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -160, 227, 684, 1211, 1808?\n\"Answer: 35*i**2 + 282*i - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 19*l**2 - 3*l + 4*l + 10 - 11*l + 4*l. What is the hundreds digit of k(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000126804 to 6 dps.\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 29*i - 66 = 0. Let n = i - 30. Factor -2\/3*u**2 + 2\/3 - 5\/3*u**n + 5\/3*u.\nAnswer: -(u - 1)*(u + 1)*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4908823 and 0.9680785.\nAnswer: 4908823.9680785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d)**(4\/5)*((d**1\/d*d)\/d*d)**28 assuming d is positive.\nAnswer: d**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 - 1)*(-j - 3*j + 2*j) + 3*j - j - 5*j + 1 - 1 - j)*((-4*j + 2*j + 4*j)*(-2 - 4 + 4) - 33*j - 47*j + 90 + 86*j).\nAnswer: 12*j**2 + 540*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*l - 26 = 0, 3*r + 3*l + 26 = -4. Let p be (-15)\/6*r\/(-5). What is the third smallest value in 0.4, -0.2, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -17764900.3.\nAnswer: 17764900.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 - 3 = 0. Suppose -a + 7*a = -6*a. Suppose i*j = -a*j - 5000. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491400 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5890*s - 153162 - 270918 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/4 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 + 4 + 1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73351\/3354780 - -3\/43010. What is the common denominator of p and -31\/1716?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207517.61 rounded to the nearest ten?\nAnswer: 207520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d - 2*d = -4, -4*f - 4*d = -32. What is the third derivative of -7*h**f + 35*h**3 + 4*h**2 - h**2 - 35*h**3 wrt h?\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 110.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 9:05 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + 2a?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1154 - -3000. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + 4 + -1 - (-749 - -744).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1883 - 1876. Solve -c + y*w - 3*w + 5 = 0, 13 = -5*c + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*n + 73*n - 5940 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0 - 0) + -3. Let n be 5*4\/6*(-60)\/50. Sort c, 0, n in descending order.\nAnswer: 0, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let b = 0.8 + -5.3. Let k = b + -0.5. What is the third smallest value in m, -2, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 8*i**2 + 7*i + 22. Let p be r(9). Suppose -3*v + 5*a + 225 = 0, 0*v - a = -p*v + 283. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19933*s**2 - 4*s**3 - 9970*s**2 + 7*s + 97 - 9963*s**2.\nAnswer: -4*s**3 + 7*s + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 36 + 12 = 0. Solve 3*m + 4 = v*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/5)\/i))**(15\/4))**9 assuming i is positive.\nAnswer: i**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 650484 and 28530.\nAnswer: 3252420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563597?\nAnswer: 19, 29663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3\/4 (b) -0.1 (c) 1\/55 (d) -0.634\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64074 divided by 30?\nAnswer: 10679\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = 1. Let o(x) = -3*x**2 + 2*x + 1. Let d be o(-1). Let g be 1\/(d - -1 - -4). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 6, w: 4}. Give prob of sequence oowb.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7476347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 divided by -2?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + -0.34. Let h be ((-18*1)\/3)\/2. Sort o, -4, h in descending order.\nAnswer: o, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b + 281 = 29*i - 32*i - 11, -2*i + 4*b = -20 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t. Let b be (-86)\/(-6) + 2\/(-6). Let x be (-64)\/(-28) + (-4)\/b. Let g(o) = -o. What is x*d(y) + 9*g(y)?\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*66\/((-34056)\/(-3526))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + 0?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**5 + 156*h**4 - 476*h**3\/5 - 668*h**2\/5 + 576*h\/5 - 112\/5 = 0. Calculate h.\nAnswer: -1, 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - d + 5*d)*(3777 + 199 + 64 + 231) as p*d + j and give p.\nAnswer: 8542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 + 64*l**4 - 240*l**3 - 88*l**2 + 820*l + 600 = 0.\nAnswer: -1, 3, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-189) + (-2)\/9. Solve 0 = -k - g, v = k + 2*g - 5 - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(425\/2261) + (-7812)\/(-279).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032 divided by 6?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.57 and -0.47107.\nAnswer: -0.2685099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 10*f - 2. Let r be j(4). Suppose -3*c + c - r = -4*l, l = -2*c + 13. Let n = l - -1. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2) + 2*sqrt(2) - (6*sqrt(10)\/sqrt(5))**2.\nAnswer: -71 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 17. Let i = k - -10. Suppose i*y - 690 + 117 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4)*c*c**(-7)*(c**(2\/7))**(-2\/85))\/(((((c\/c**(-1\/2))\/c*c*c)\/c)\/c)**16\/(c**(-1\/5)\/c*c**(-3))) assuming c is positive.\nAnswer: c**(-12618\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1294212*u + 802882 wrt u.\nAnswer: -1294212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350256527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**2 - 54*v + 159. What is w(3)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5411025913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - k + 11 - 5*k - 9. Let i(d) = 6*d - 2. Let m(f) = 2*i(f) + 3*v(f). Let l(j) = j - 1. Let t be l(-1). Give m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*j = -31, -32 = -4*i + 5*j + 105. Let u be 2\/(-11) + 402\/i. Suppose -s = 10 - u. Solve -s*b - 6 = -3*n - n, 4*b + n - 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**8*y**(-2)*y\/(y*((y*y**3*y)\/y)\/y)*(y**(-6)*y)\/y)\/(((y**(-2)\/y)\/y**(-1))\/(((y\/(y\/(y*y**(-1\/12))))\/y)\/y**(-8))) assuming y is positive.\nAnswer: y**(107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: adf1 (base 16) to base 11\nAnswer: 30501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 18*g**2 - 18*g**2)*(9*g**2 - 9 + 9).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of (1349 - 2)*(36 - 35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 0.4. Let o = -0.9 - -1. Let j = o + 0.9. Is x > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 295*l**2\/4 - 439*l\/2 - 146.\nAnswer: -(l + 1)*(l + 2)*(l + 292)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1074 + 1118. Solve 32 = 6*z + w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 - 24*m**3 - 2*m**2 + 264*m = 0.\nAnswer: -3, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59349 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -74416 divided by -16\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((4\/14)\/((-20)\/(-14))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z**(-4\/7)*z)\/((z*z**(-3\/5))\/z**(-1\/4)))**20 assuming z is positive.\nAnswer: z**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -5 - 1) + -2. Suppose 3*u + j = -65 + 205, 0 = 5*u - r*j - 220. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674987.\nAnswer: 211, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.76 - 1.7545. What is l rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605) + -1)))*-3 - 1*(0 + sqrt(5))*-2.\nAnswer: -3 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (35 - 37) + -31 + -8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*d*s*w**2 - 1295*c**2*d*w**3 + 221*c**2*d*w + 14*c**2*s*w**2 + 3*c**2*s + c*d*s*w**2 + 414*d*s*w**3 + s*w**3 wrt w?\nAnswer: -7770*c**2*d + 2484*d*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.79606028 plus -3?\nAnswer: 4.79606028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -207b91b + -5?\nAnswer: -207b922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 470.839 and 4.\nAnswer: 474.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1442978 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/6 + 3*h**2\/2 - h. Calculate the remainder when ((-26)\/(-5))\/(4\/20) is divided by l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -11*t**5\/60 - 3*t**4\/8 + 2*t**3\/3 + 17*t**2. Let w(d) = 5*d**2 + 4*d - 2. Give 9*w(r) + 4*x(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) 0.3 (c) -0.14637\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 2, q: 1, e: 3, j: 2, a: 3}. Give prob of picking 1 r and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 10*o + 14. Let m be p(-11). Suppose 0 = -m*n + 9 - 0. Solve 4*c - 25 = q, -n*q = c + q + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8 + l + 8. Let t(x) = 3*x. Let r(j) = -9*j. Let s(h) = -3*r(h) - 12*t(h). What is v(s(d))?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-182))\/((-6)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1608, -3215, -4822, -6429, -8036?\n\"Answer: -1607*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1912 + -1147. Suppose 0 = 4*m - 4*j - 1512, 2*m = -3*j + 2*j + l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -7180?\nAnswer: 7180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1642, -0.29, 0 in ascending order.\nAnswer: -1642, -2, -0.29, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-25*s + 82*s - 397 + 399).\nAnswer: 114*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (49 - 53)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine fifths of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.99 + -19.1. Suppose 4*k = -0*l + 4*l, 2*l = 3*k + 1. Is x less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(72\/984) + -17.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 79*j**2 + 28*j - 256. Let a be b(-40). Let g be (-3)\/((9\/384)\/(-1)). Calculate the highest common factor of g and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**3*q**4 - 19731065*k**3*q + 113860255*k**3 wrt q.\nAnswer: 4*k**3*q**3 - 19731065*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 divided by 5?\nAnswer: 436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 345.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 27 + -28 - (0 + -1) - 17\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 3*s**2 + 2*s - 3. Let k be y(3). Solve 0 = -5*w + k*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/5067 - -5059\/20268. Which is the second biggest value? (a) 0.3 (b) y (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 20 + 4. Suppose 3*m = -a + 208, 0 = -2*a - m - g*m + 410. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231001201 - -3?\nAnswer: -231001132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1213*h + 34547 + 10334 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4560 + 4833. What is the remainder when 276 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 455061542 - 1?\nAnswer: 455061541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20726 and 13978.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 246 - 103?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69843820 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1865*b + 1659*b - 38*b + 2 + 1339*b as o*b + m and give o.\nAnswer: 4825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 3, 0.4, -4.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3.7. Let k = -3 - -6. Let a = 5 + -9. Sort a, w, k.\nAnswer: a, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20628 is divided by 123?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -341*r + 13. Let n(l) = 1024*l - 39. Let u(a) = 7*b(a) + 2*n(a). Is u(-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z - 46. Calculate k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 73. Suppose -w*h - 58 = -238. Suppose 70 = 5*l + h. Solve u - 3*u - l = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*r - 32 = 2*r, 4*m = -r + 36. Suppose 0 = 3*g - 3*b - 12, -g + 3*b + 2 + 0 = 0. Let p = m - g. Let w(t) = t**3 - t**2 - 3*t - 3. Determine w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 2. Determine l(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2995, -6129, -9393, -12793, -16335, -20025, -23869?\nAnswer: -27873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -110, -194, -298, -422, -566, -730?\n\"Answer: -10*r**2 - 34*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.9 + 42. Let i be 6\/4*(-2)\/3. Let u be 2\/(-4)*4\/(-5). Which is the closest to z? (a) i (b) u (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/486 and 4\/15?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(308)\/(-3*sqrt(7))*-6)\/((sqrt(100) + sqrt(100) + -4*sqrt(100) + sqrt(100))*-1))*5.\nAnswer: -15 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 26*b**2 + 2003*b + 37789. What is j(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170 - 173) + 2 + (-1 - (-3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -52\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 25*w**3 - 4*w**2 + 7*w. Let y(c) = -c**2 + c + 1. Let z(s) = -m(s) + y(s). Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (10 - (18 + -11)) + 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 49. Let w(p) = -p**2 - 4*p. Determine w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 3. Calculate a(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25847991 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 14\/3, 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 22*o - 250 = 0. What is the remainder when 88 is divided by 18\/5*o\/(-10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtttutttyyrtrtrtr. Give prob of picking 4 t.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -2*r + 4*n, -r + 146 = -4*n - 74. Which is greater: r or 223?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**6\/90 - a**4\/24 + 5*a**3\/3 - 3. Let t(q) be the third derivative of d(q). What is the derivative of t(n) wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 7*a - 10. Let f be r(4). Suppose -f*n - 7*n = -36. What is the tens digit of 76 + (6\/n)\/((-3)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014828 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389807 = 72*s - 393335 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7 + (7 - -50 - 3))\/(-144) and -139\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-32) - 3)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -7*u - u + 4*u + 23, 4*u = 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2715310.72 and -0.4?\nAnswer: -1086124.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 92. Determine k(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 83*q - 2659. Let g be n(32). Let h = 0.2 - 2.2. Which is the fourth biggest value? (a) 0.7 (b) 0.4 (c) g (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) - sqrt(30)*2) + sqrt(30))\/sqrt(6))**2 + (sqrt(405)*-4 - sqrt(405))**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7552566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by 2715\nAnswer: 133\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 642029474 and 2792?\nAnswer: 2568117896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 348.\nAnswer: -13\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*h**2*u - h**2 + 2*h*u**3 - 349*h - 2*u wrt u.\nAnswer: 9*h**2 + 6*h*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 242 + 241 + 131*w**3 + 252*w**3. Is 19 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5018 and 1930?\nAnswer: 25090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1.1, 2, 0.2, 235?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645760 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -42*i. Let h(u) = 14*u. Determine -14*h(w) - 5*s(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 35658320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let i(z) = 3*z**2 - 6*z + 18. Give i(g) + 18*j(g).\nAnswer: 3*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 168*x = -2280 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u**4 + 1835*u**3 - 8320*u**2 + 4765*u + 1740 = 0. What is u?\nAnswer: -1\/4, 1, 4, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6.824692 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3589 - 3585.038. Let q = b - -0.038. Sort -5, 2, q, 8 in ascending order.\nAnswer: -5, 2, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222000 (base 4) to base 9.\nAnswer: -3616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 5 + 5 - 10 in the form o + a*z + d*z**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 7271635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 8 = 0. Let p = d + 6. Let m = 0.1 - 0.1. What is the closest to 0.1 in -0.1, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 9\/2*s**2 - 9\/2*s**3 + 33\/2*s - 3\/2*s**4 + 9 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 153 - (-127 - -127).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*l - 12 = -32, a + 4 = -l. Is -9\/10 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.79. Let u = -0.116 + g. Let z = u + -0.0032. Round z to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257953145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*y - 1, 3*n + 0*n = 5*y + 1. Factor -7*b + 4*b**2 + b + 4*b - n*b**2 - 4.\nAnswer: 2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**4 - 63*k**3 + 69*k**2 + 15*k - 5. Let s(b) = b**4 + b**3 + b**2 + 3*b - 1. Let l(y) = a(y) - 5*s(y). Factor l(f).\nAnswer: 4*f**2*(f - 16)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*t + 1, 3*x = 4*t - 5 + 4. Put -3, -1, -2, t in ascending order.\nAnswer: -3, -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172 - 2?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40337504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4\/4 - 85*d**3\/4 + 5*d**2\/4 + 85*d\/4 = 0.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:57 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1735, 1735, 1733, 1729, 1723, 1715?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkh when three letters picked without replacement from {l: 7, h: 3, i: 2, k: 5}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.4 + -35. What is the third smallest value in -4\/7, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 35*x**2 - 2*x + 3. Calculate v(-35).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 3) in base 10?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -4, -22405, 5 in decreasing order.\nAnswer: 5, 0, -4, -8, -22405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35001 is divided by 929?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -61*b**6\/30 - 41*b**2\/2 + 32*b + 1. What is the derivative of q(t) wrt t?\nAnswer: -244*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 259*n**2 - 1759240*n + 1759240*n + 2.\nAnswer: 259*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:44 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:28 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 3*(-2 + ((sqrt(2057) + -2*sqrt(2057) - sqrt(2057))*-3 - ((sqrt(2057) + sqrt(2057)*2)*-6 - sqrt(2057)))) + 0).\nAnswer: -36 + 3300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -0*t - 6*t. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 183179.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*p = -32, 3*c + 3*p + 1 - 37 = 0. Suppose -4*o = -7*v + 2*v + 255, 0 = o + 5. Suppose -c = -4*i, 0*i + v = r + i. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 3728*j. Let o(w) = 74*w. Calculate o(m(r)).\nAnswer: -148*r**2 + 275872*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4*i**2 - 5. Let q(w) = -w**2 + 1. Let s = -1 - 3. Let y(r) = s*q(r) - f(r). Let a be y(0). Solve -2*v + a = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5930174g?\nAnswer: 593017400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -4*d + 4*q + 10, 14 = -5*d - 4*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1798746628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 355097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*w - 485*w = 395*w - 7356 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*j + 68, -j - 3*u + 34 = u. Suppose 35*c - 848 = j*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11279, 19418, 27557?\nAnswer: 35696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.25 + -1.15. Which is the biggest value? (a) 2 (b) -0.1 (c) 0.01 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/(q\/q**(2\/3)))\/(((q**4\/q)\/q*q)\/q**(-5)) assuming q is positive.\nAnswer: q**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**9\/37800 - x**8\/16800 + x**4\/12 + 2*x. Let o(g) be the third derivative of n(g). Suppose o(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 7, 20, 41, 70, 107, 152?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -335.5879646836 - 1.5\nAnswer: -337.0879646836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6215981 <= -6215982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212201 + -132210?\nAnswer: 2013331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -619, -870, -1213, -1678, -2295?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = 6*n, 6965 = 3*v + 4*n. Let m = v - 1494. List the prime factors of m.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/262672 and -157\/9850200.\nAnswer: 19700400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14386 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -11 - ((-2 - 3) + 7 + 3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -26484642*r**2 - 3289656*r - 102152 = 0.\nAnswer: -226\/3639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4\/15 + 68*p**3\/3 + 728*p**2\/5 - 12752*p\/15 + 2816\/3 = 0.\nAnswer: -10, 2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 - -0.41. Let x = h + 0.1. Let g = 3.4 + 0.6. What is the third biggest value in 6\/5, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 + (0 - (15 - -2 - -3)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462904389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -357 - -353. Let l be (28\/2730)\/((-3)\/((-18)\/d)). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2137190 = -4*p. Let v be (-8)\/44 - (-77760)\/p. Let q = -1651449\/155432 - v. What is the common denominator of -73\/14 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 579 (b) 3 (c) -3 (d) -1\/10 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -27728\/2273 > -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2211 and 589533.\nAnswer: 6484863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*a**3 - 1497*a**2 - 4659*a - 3138.\nAnswer: 3*(a + 1)*(a + 2)*(8*a - 523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.4, -0.4, 27, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Suppose 372 = 62*t + 62*t. Put 32, x, t in descending order.\nAnswer: 32, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/15 (b) -4\/7 (c) 1\/4 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 4*v - 20, 116*w + 3*v = 120*w - 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40460 and 911540.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 0.2713, 2, -0.5?\nAnswer: 0.2713","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2338239 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 2444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or 5.7?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2669 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 0*m**3 + m**3 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -28 - (0 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -102. Suppose h = -2*i, 5*i - i + 13 = -c. Suppose m + 3*z - 164 = 179, 5*m - c*z = 1643. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*m + 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 680452433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*r - 2)*(21 + 111 - 20)*(0 + 2 - 3)*(-1 + 3 - 1) to c*r + k and give c.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 2098 - 2054 = 0. Which is the second smallest value? (a) 0.1 (b) 23\/20 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*((-41)\/1435)\/((-1)\/(-2))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38097 - 27421 = -34*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 53345?\nAnswer: 53330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.348467 millilitres in litres?\nAnswer: 0.007348467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/18831 + -885217\/1506480. Find the common denominator of -19\/100 and l.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 659*o**3\/6 - 4*o + 2236. Let t(l) = 5*l**2. What is k(t(s))?\nAnswer: 3295*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -31*h + 1028. Let u be y(33). Let g(r) be the first derivative of -1\/21*r**6 - 13 + 8\/35*r**u + 0*r + 0*r**2 + 0*r**3 - 2\/7*r**4. Factor g(z).\nAnswer: -2*z**3*(z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-8))\/3)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(5\/4))\/(v\/(v*v*v**(4\/9)*v)))\/(v**(2\/5)\/v)**(22\/5))\/((v*v**(1\/3))**(-33)\/(v*v**(7\/2)*v**1)) assuming v is positive.\nAnswer: v**(51151\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose 4*y + 12 = 2*q - r*q, 0 = -4*y - 20. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 314*z**4\/3 - 964*z**3\/3 + 4556*z**2\/3 + 3550*z\/3 - 550 = 0.\nAnswer: -5, -1, 1\/3, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -908, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (21 - (16 - (7 + -1)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/40 or 290.217?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5284)\/1321*2\/(-12)*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586559 is divided by 1001.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 321\/790 + -1\/158. Suppose -2*q - 25 = -5*q + 5*d, -6*q + 5 = -d. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 8. Let b = 6.91 + n. Let z = 0.01 - b. What is the nearest to -0.1 in 2, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -32.7. What is the smallest value in -4, b, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 1 - z + 5*z**4 - 2*z**3 - 4*z**4 to the form j*z**2 + m*z**3 + k*z + u*z**4 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t - 5. What are the prime factors of ((-2)\/(-2))\/(t\/(-51))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449619366.\nAnswer: 2, 13, 431, 129361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t**3 + 6*t**2 - 105*t. Let h(g) = -2*g**3 + g**2. Determine -5*h(u) + p(u).\nAnswer: -5*u**3 + u**2 - 105*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = -12*o + 25 + 20. What is the smallest value in -5, -2\/5, o, 0.024?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200010 + 0?\nAnswer: -200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/5 (b) -2\/41 (c) 96 (d) 0.4 (e) -2\/9 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 94*n + 179. Let q = 1 + -2. Let d(k) = -k + 2. Let v(j) = -52*j - 4. Let r(f) = n*d(f) + q*v(f). Let x(y) = -2*y**2. Calculate r(x(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17276*l**2 - 413755*l + 413755*l.\nAnswer: -17276*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -381, -705, -1027, -1347, -1665?\n\"Answer: d**2 - 327*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 - 199246?\nAnswer: -199199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(1764)\/sqrt(6)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 30. Let u(g) = 13*g - 134. Let p(k) = -4*u(k) + 18*v(k). Let o(n) = -1. What is 10*o(t) + p(t)?\nAnswer: 2*t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 728, 661, 548, 389, 184, -67, -364?\n\"Answer: -23*q**2 + 2*q + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229355.\nAnswer: 5, 445871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 8. Let l(i) = 0*i + 15 + 6*i - 8*i. Let y(v) = -6*l(v) - 11*t(v). Let r be y(3). Let d(f) = 5*f + 1. Determine d(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(24)\/(sqrt(12)*2)) + sqrt(350)\/(sqrt(120)\/sqrt(3)))\/((sqrt(40)\/sqrt(72) - sqrt(20))\/(sqrt(256) - 2*sqrt(256) - sqrt(256))))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105, 99, 69, 15, -63?\n\"Answer: -12*r**2 + 30*r + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/11 + 6*v**4\/11 - 6*v**3\/11 - 2*v**2 - 12*v\/11 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a meter in millimeters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5155356 and -5117.386.\nAnswer: 5150238.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + 5. Let l be ((-4)\/6)\/((-1)\/33). What is the greatest common factor of w and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, v: 2, s: 1, g: 1}. Give prob of picking 1 i and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44a016 (base 12) to base 3\nAnswer: -2001122211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111111 (base 2) in base 3?\nAnswer: 222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 5:47 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**3\/3 + 11*l**2\/2 - 4*l + 36. Let w be q(10). Solve 5*r + 1 = w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**2*p**2 + 47*m**2 - m*p**2 - 41*p**2 - 2 with respect to p.\nAnswer: -6*m**2*p - 2*m*p - 82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 + -107. Calculate the remainder when r is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-459)*36*3\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55287147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 7*p + 4. Let x = -79 + 88. Let v be u(x). Is v less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0*(q**(-33)*q)\/q*q)**(-5\/11) assuming q is positive.\nAnswer: q**(155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -3510451.\nAnswer: -3510456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y = -31*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6731 + -6731.111. Which is bigger: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*w**3 + 255*w**3 - 608*w**3 + 264*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 994, 2\/11, 5, 0.2, 1\/2.\nAnswer: 2\/11, 0.2, 1\/2, 5, 62, 994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + 1?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/2331 and 143\/18.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13.08*-0.26634\nAnswer: -3.4837272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -108 and 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 17*h - 3 - 6*h + 15*h**3 - 1. Let m(i) = 2 + 5 - 16*i**3 - 4 - 10*i. Let t(d) = -4*m(d) - 3*n(d). Find the second derivative of t(f) wrt f.\nAnswer: 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 197*k**4 + 51.\nAnswer: 788*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-264)\/16*22\/(-3). Let r = q + -280. Let u = r + 244. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 + 1744?\nAnswer: 1744.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21241 - 5?\nAnswer: 21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1487906 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (37\/222)\/(4\/(-6)). Let n = 116 + -112. What is the nearest to z in n, 31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8))**2 + 5)*2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001900431616 to seven decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333 + -317. What is the remainder when 155 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0137 + -0.5713. Round g to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -84. Suppose 5*y - 19 = 11. Let k be (-12)\/(-429) - y\/33. What is the biggest value in h, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10552445266 - 38.\nAnswer: -10552445304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -h + p, -2*h = 4*p - 7503 + 7505 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/5 (b) 699\/5 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*t = -40, 3*j - 5 - 13 = -5*t. Suppose -4*a - 3 = -j. Put 0, -22, a, -2 in decreasing order.\nAnswer: a, 0, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 1309919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/240 and 109\/654540?\nAnswer: 2618160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018004 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302789 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14 + 3*c + c - 17*c - 3*c. Let u(h) be the second derivative of -h**3\/2 + 3*h**2\/2 + 2*h + 5. Give 2*b(a) - 11*u(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, 2, 9615, 44, -5 in decreasing order.\nAnswer: 9615, 44, 4, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + a**2 + 6*a**2)*(-15*a + 28*a - 15*a + 16).\nAnswer: -2*a**3 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 446, 5, 242, -143, 0 in ascending order.\nAnswer: -143, 0, 1, 5, 242, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7*b + 8 = 5*b, 3*b = 4*j - 57. Suppose -4*f - j = -o + 3, 3*f - 138 = -3*o. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 291*r + 913. What is d(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/(-4914) + (-11)\/434?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 448 times -255\nAnswer: -114240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 2*a - 4. Let y(k) = 8*k**2 - 5*k - 12. Let s(r) = -11*b(r) + 4*y(r). Give s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 110*w - 76*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342.078 rounded to the nearest integer?\nAnswer: -1342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-4)\/(-8)) - -139. Suppose -3*p - r = -2*c, c + 4*p = 6*c - 345. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 594407 + 189?\nAnswer: 594595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000033037 to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*y = -50, -j - 4*y + y = 9. Let c be ((-8)\/(-48) - (-2)\/j) + 0. Solve 4*i - 4 - 8 = c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*k - k = 0, 66*d = 68*d + 7*k - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**2 - 11*s - 16. Let j be q(-6). What is the highest common factor of 34 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66 - -0.26. Sort 0.5, k, 3, -0.2 in ascending order.\nAnswer: k, -0.2, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1295 = -4*v - c, -2*c = -110*v + 106*v + 1286. Let g = 41 - 22. What is the greatest common divisor of v and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 4*l + 14. Let t = 12 + -6. Let d be v(t). Suppose -4*c + 28 = -2*n, -3*c + d*c + n = -5. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*y**2 - 1\/3 - 2\/3*y.\nAnswer: -(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314.6*3.\nAnswer: -943.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/48382950 and 247\/174178620.\nAnswer: 870893100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0074 - -0.0074. Suppose -3*l + 21 = 13*k - 10*k, k - 19 = -4*l. Let p be (1 - 0)\/(2\/4). Sort w, p, k in decreasing order.\nAnswer: k, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*f - 1452 = 3791 + 877. Solve -f = -3*v - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7622686?\nAnswer: 2, 19, 200597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12822.5 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, w: 9}. What is prob of sequence ccw?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3766628, -7533236, -11299844, -15066452?\nAnswer: -18833060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = 2*x - 16, -k = x - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113.8 + 114. What is the third smallest value in -5, k, -0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1255635 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*p + 1. Calculate the highest common divisor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369853215 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*q**3 - 11896*q + 11896*q - 4.\nAnswer: -390*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**1))\/j)\/j)\/j**(-2\/9))**23 assuming j is positive.\nAnswer: j**(-575\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -157. Solve 0 = -j*d + 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29 + 6 - 46 + 11 - h. Let f = 3 - -1. What is s(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - (-100)\/(-32) - 0)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8536.87 days?\nAnswer: 204884.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3454 and 45782?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142696 divided by -4.\nAnswer: 35674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -89387 smaller than -85840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/149877 and 55\/286923.\nAnswer: 157520727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 23*w**2 - 8*w - 34*w**2 + 15 + 0 + 12*w**2. Give y(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -154?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15 + -2*(32\/(-3) + 3). Let f be ((-2)\/(-8))\/((-5)\/8). Which is the closest to s? (a) f (b) -1\/10 (c) 4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(1053) + sqrt(1053).\nAnswer: -9*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244046 is divided by 40460.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 981144 and 5076?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 102. Let t be x(-17). Suppose -5936 - 1187 = -t*k. What is k rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 28*t + 115. Determine z(21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92453089.\nAnswer: 17, 47, 251, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 3*i - 2302 = 8*n, 4*n + i = 4604. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 65.64918ns?\nAnswer: 0.00006564918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 42. Suppose -5*l + 24 = -2*l - 5*a, -a - d = -5*l. Suppose -15 = -5*b, -2*f + 13 = l*b - 0*b. Solve -m = f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/2 + 7*c**2\/2 + 758*c. Suppose 2 - 1 = -g - 2*f, -5*g - 3*f = 12. Let n be h(g). Put n, 5, 4 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + r**2 - 4*r**2 + (-4*r - 3*r + 5*r)*(-4*r + 3*r + 3*r) + 6*r**2 + 0*r**2 + 11*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22469\/12 + 3755\/2. Let b be 754574\/(-66) + (-14)\/7. Let c = 11433 + b. What is the common denominator of l and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228670318 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5857 is divided by 488.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204 = 5*h - 2*h + 1093. What is the remainder when 961 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0956845l?\nAnswer: 95.6845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3)**(-43)*(s\/s**5*s*s*s*s)**(3\/10))**(6\/7) assuming s is positive.\nAnswer: s**(-774\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 4*v - 6. Let n be r(-6). Let b = n - -32. Suppose -4*h = 12, 0 = -3*g - h - 398 + 605. Calculate the greatest common factor of g and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.96. Let a = 0.06 - n. Let d be 38\/(-20) + (-2)\/(-5). What is the second smallest value in a, d, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 18 = 5*i + 2*z, 3*z = 4*i - 9. Suppose 0 = o + 1, 8 = y + i*y + 4*o. Let f be -1*(3 + 2 + -2). What is the third biggest value in y, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 1098332\nAnswer: -63\/274583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109899157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9465 = -3*h, 15*x + 15775 = 5*h + 17*x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 3*w = -30, 2*g = -3*w + 10. Suppose -6*l = -387 + 357. What is the remainder when g is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104624283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9834032l to millilitres.\nAnswer: 983.4032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167\/35 - -32\/7. Let o = -2912\/15 + 194. Which is the biggest value? (a) o (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/10)\/(-2))\/((-123)\/1845)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -28. Suppose -3*i = -14 + 77. Let u be ((-14)\/i)\/(t\/(-6)). Which is the nearest to u? (a) -0.1 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 8, -4*g + 5462 = 2*c - 1112. Suppose -1810 = -b + c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -601421 and 38.\nAnswer: -22853998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**3 - 1. Let p(b) = 13*b**3 - 3. Let a(k) = 6*k**2 + 91*k + 109. Let y be a(-14). Give y*v(u) - 6*p(u).\nAnswer: -u**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Suppose 18 = 2*g - 8. Suppose -z + 2*i + 14 = 7*i, g = 2*z + 5*i. Is z >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0934, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991544258?\nAnswer: 2, 495772129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(19)*-1 + -5 - (sqrt(19) + 2*sqrt(19)*-2)) + (sqrt(475) + -1)*-5 + 3.\nAnswer: -29*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77035 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*q + 0 - 7 + 57*q)*(1 - 1 - 3).\nAnswer: -6*q + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -42?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*96\/(-120)*(-1)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68\/612)\/((-2)\/12). Which is the biggest value? (a) 1 (b) g (c) -5 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = 2*s. Which is the second biggest value? (a) s (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 15232.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(40)\/sqrt(8)) + -3*(sqrt(13) + 2 + sqrt(13)) + (sqrt(208))**2 + 5 + sqrt(13) + 3*sqrt(1573) + sqrt(1573).\nAnswer: 40*sqrt(13) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 34516, -4, 5, 1, 0, 1\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 106 + 1 = 0. Suppose q = -3*p + 9. Let x(r) = -2*r**3 - 3 + 0*r**2 + r**3 - 4*r**2. What is x(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(6*((sqrt(272) - 6*(sqrt(272) + 0)) + -6*(-2*sqrt(272))**2) + 2).\nAnswer: 240*sqrt(17) + 78332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 369546266 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.043988.\nAnswer: -0.131964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(475) + -2 + 4)**2 + 2.\nAnswer: -10*sqrt(19) + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*w + w + 88128. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5986862 rounded to four decimal places?\nAnswer: -0.5987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:12 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 8*t**2 + 3*t + 4. Give z(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 9 (b) 3 (c) -1\/7 (d) -137\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172454279 - 76054279. Suppose y = 3*x + x. What is x rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4968.\nAnswer: -1\/2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1221 and 2553?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 12, 41, 88, 153, 236, 337?\n\"Answer: 9*r**2 - 16*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/71 (b) 73.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-39) + ((-189744)\/(-14807) - 12). Suppose 8\/17*n**2 - 48\/17 + 46\/17*n - g*n**3 = 0. What is n?\nAnswer: -8\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, l: 1}. Give prob of picking 1 l and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.376 - 1.3. Round o to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/6 + 5*m**2\/2 + 4*m. Determine i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -580740 at most as big as -580699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p = -54*p - 528. Let q be ((-5)\/(-2))\/1*p\/110. Solve 0*z + z - 4*g - q = 0, -3*g = -3*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9208.519 to the nearest ten.\nAnswer: 9210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-760)\/988)\/((-253)\/(-299)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-4) - 399\/21. Let w(g) = -5 - 10*g - g**2 + 1 - g. Give w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8146 and 52639452?\nAnswer: 52639452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 60147972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 160, 169, 182, 199, 220, 245?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -115, -5, 5, 77, -9 in decreasing order.\nAnswer: 77, 5, 1, -5, -9, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*m\/(m\/(m*m**(2\/9)*m)*m)*m\/(m\/m**(-1\/5))*m*(m\/m**2)\/m**(2\/3) assuming m is positive.\nAnswer: m**(151\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6652 + -6339. Calculate the remainder when i is divided by 117.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138840, -277660, -416476, -555288, -694096?\nAnswer: -832900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 7. Calculate p(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-3*m**2 - 4*m**2 + 6*m**2) + 5*m**2 + 10*m**2 - 5*m**2 + 2*m**2 + m**2 + m**2 - 2*m**2 + m**2 + 4*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26677926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11\/2)\/i**(-5))**(-11) assuming i is positive.\nAnswer: i**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/12 (b) 3\/62 (c) 0 (d) 216 (e) -2\/5 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 616*n**2 - 1235*n - 618.\nAnswer: (n - 618)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = 4*u, -g + 5*g = -3*u + 8. Suppose 2*w + o = w - 1, -3*w - 4*o = 6. Let a = w - g. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4763 - -101?\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16980 less than 2?\nAnswer: 16982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/3 - 230132*w**3 - 1380778*w**2\/3 + 690392*w = 0. What is w?\nAnswer: -345196, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173042 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 0.4, 3, -7, 4, -0.4 in decreasing order.\nAnswer: 4, 3, 6\/7, 0.4, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1508 + -1912. Is -1\/3 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-468)\/114 + 1 + 3. Put -1, j, -0.3 in decreasing order.\nAnswer: j, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63099 divided by -1?\nAnswer: 63099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 13 + 3 + 5 - -14 - (74 - -3)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693310 is divided by 1070?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*j - 115. Let x be 2\/(-11) - (-70)\/j. Calculate the greatest common factor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from ffzzwsu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:25 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 5 + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17354377?\nAnswer: 89, 227, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -761*h**4 - 100*h**2 + 384*h**4 + 378*h**4 - 137*h**3 wrt h.\nAnswer: 24*h - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146264 + 146264 + 2*k**2 + 3*k**3.\nAnswer: 3*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -3, -13, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/7 - 6504378*a\/7 + 123583543\/7.\nAnswer: -(a - 19)*(a + 6504397)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1524*a**3 + 2*a**2 + 2*a + 10*a**2 - 3*a + 1514*a**3 - 1 + 6*a**4 - 3037*a**3 as m*a**2 + q*a**3 + h*a + y + f*a**4 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -14) + -16 + (9 - 16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4055422*n**3 - 8110907*n**3 - n + 4055456*n**3 - n.\nAnswer: -29*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 17*t + 46. Let f be i(-14). Let x be (-18 + -10)\/(f*2\/12). Is x at least -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113765 and 2016065?\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2144 + -182?\nAnswer: 1a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.49+-14030.6\nAnswer: -14032.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -16, -1\/4, -1\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(24) - (sqrt(24) - sqrt(120)\/sqrt(5))) + ((sqrt(24) - sqrt(216))*5 - sqrt(24)))\/(sqrt(60)\/(sqrt(405) + 4*sqrt(405) + sqrt(5))).\nAnswer: -690*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10035373, -10035387, -10035413, -10035457, -10035525?\n\"Answer: -t**3 - 7*t - 10035365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v + 69. What is the remainder when n(0) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {b: 2, w: 7, v: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -11 (c) -36\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 10 + 46 = -6*t, -99*q + 80 = -4*t - 101*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/3854 and 73\/752.\nAnswer: 30832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/120 + y**5\/15 - y**4\/3 - y**3 - 3*y**2. Let g be q(-5). What is the greatest common divisor of 72 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 316252*d**3 + 6247952732*d**2 - 118806312076*d + 375237763440 = 0. What is d?\nAnswer: -39541, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2557*z + 2455. Determine n(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95707 + 191419\/2. Let n - 4 + z*n**2 + 1\/2*n**3 = 0. What is n?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + 5*sqrt(72)*-2.\nAnswer: -60*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2279672 to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70121 (base 13) in base 3?\nAnswer: 101011111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319524477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12*n - 1176 = 0. Suppose 8 = m + 4*v - n, 3*v + 120 = m. What is the second derivative of 0 - 154*a + 0 - 31*a**3 + m*a wrt a?\nAnswer: -186*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.923452 rounded to two decimal places?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(6\/(-4)). Let o be 3\/(-5)*2\/(-3). Is o at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 - 2*d**2 + (-1 + 3 - 1)*(-3*d**2 - 2*d**2 + 3*d**2) + d**2 - 4*d**2 + 2*d**2 - 2*d + d**2 + 2*d + 0 + 0 - d**2 + 2*d**2 + 1 - 1.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i - 315. Suppose -3*h + i + 3 = 0. Suppose 2*c - 4*a - 26 = h, -c + 17 = 5*a. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/3 - 40*p**3\/9 - 58*p**2\/3 - 80*p\/3 - 26. Suppose i(f) = 0. Calculate f.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936 and 241020?\nAnswer: 482040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2879 - 1491. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2495 - 2489) + 0 + (-21 + -2 - 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.5976 times 0.4?\nAnswer: 66.23904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 9 = -p, -j = -5*p + 2*j - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2567, 9467, 20967, 37067, 57767, 83067?\n\"Answer: 2300*f**2 + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, -254.\nAnswer: -254, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19) + 2 - (sqrt(19)*-1*1)**2) + (6*-2*sqrt(19) - 4*sqrt(19)*-2)**2.\nAnswer: sqrt(19) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3672990 divided by 15.\nAnswer: 244866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 4 - -1 - 3749\/(-815)*10?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -498*p + 1. What are the prime factors of d(-2)?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2621 and 748.6035897?\nAnswer: 1872.3964103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 459 + -459.4. Put -3, w, 30 in ascending order.\nAnswer: -3, w, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 289530, 579266, 868996, 1158720?\n\"Answer: -3*p**2 + 289745*p - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m. Let g(w) = -2627*w + 7885*w - 25 - 2629*w - 2632*w. What is g(b(s))?\nAnswer: -15*s - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 - 10*w**3 + 10*w**3 + (0*w**3 + 0*w**3 + w**5)*(12 - 3 + 30).\nAnswer: 35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*i + 72 = -2*i, -3*x = -2*i + 226. Let k = x - -82. What is the tens digit of k\/(-15) + 572\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223.395 - 178.395. Suppose 3*j - 2*j = 2. Are m and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*g = -7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 2, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 18*p - 9*p**2 + 18*p - 36*p. Let h(m) = -m**2. What is h(l(w))?\nAnswer: -81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5296+20.4\nAnswer: -5275.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/10*(-30)\/4. Let u(c) = -2 + 2 - j*c. Let a(k) = 55 - 175 + 67 + 53 + 2*k. Give u(a(d)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 - 5*a - 7. Let v be h(7). Let r(p) = p**2 - 3 - p + v - p. Let g(w) = -5*w**2 + 3*w + 3*w**2 + 85 - 90. What is 2*g(l) + 3*r(l)?\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/6 + (-54)\/(-126) + (-8)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 28, 37, -40 in descending order.\nAnswer: 37, 28, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 1 - (-37 + 132 + -93)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 5. Let w be s(-4). Let q be (-24008)\/(-6) - (-12)\/w. Suppose 4*y - c - q = -2*c, -4*c = 5*y - 5000. What is y rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 901426\/87 - 10361. Let s = 1279 - 34547\/27. What is the common denominator of y and s?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/77 in -4, -1\/2, -2\/5, -2\/63, -2\/41?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**5 - 2*n**4 + 613*n**3 - 3*n + 990 wrt n?\nAnswer: 60*n**3 - 24*n**2 + 3678*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 21130758?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1506918 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/210*-83 - (-1 + -3) and -103\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*10\/(-8))\/(14\/28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 26 - i**2 + 22*i - 49 in the form g*i + w + r*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1305 and 2610?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.597 - 1.797. Sort 3, 0.31, k.\nAnswer: k, 0.31, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7125*c**3 + 7226*c**3 + 9*c - 2 - 34*c + 11*c + 14*c.\nAnswer: 101*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -103*a**2 + 14*a + 15. Let y(j) = 2*j**2 - j - 1. Let o(n) = -h(n) - 14*y(n). Give o(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.68 rounded to the nearest integer?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202072\/15 + -13477. What is the common denominator of -119\/110 and s?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skk when three letters picked without replacement from sskkkkks?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71482241, 71482240, 71482239?\n\"Answer: -o + 71482242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-4760)\/(-1020) - (-471)\/9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 546*l**2 + 8*l. Let k(h) = -353*h**2 - 5*h. Let z(m) = 5*a(m) + 8*k(m). Let t(g) = -2*g + 2*g + 3*g. What is t(z(u))?\nAnswer: -282*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/25 - 3\/25. What is the smallest value in v, -2\/3, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/4 + 7*f**2\/4 + 11*f\/4 + 5\/4 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4 - 3) + 3 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 74*g**2 + 199*g - 4563. Determine h(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(637) + 1 - sqrt(637)) + 4 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n**3 - 1735*n**2 + 3550*n**2 - 1815*n**2.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = 1. Let h(z) = z**2 + 3. What is the remainder when (1\/2 + j)*-46 is divided by h(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2448, 2509, 2570?\n\"Answer: 61*z + 2387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48508819 - -47.\nAnswer: 47.48508819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277073?\nAnswer: 3, 83, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 72\/(-20) + (-6744)\/(-1200) and (-74)\/(110*2\/(-3)).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 704\/33 - (1 + 2)\/9. Let b(o) = -934 + c*o + 934. Let r(g) = -g + 5. Let w(m) = -1. Let i(k) = 2*r(k) + 10*w(k). Give i(b(p)).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = 46*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18707275549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 + 209. Let n(c) = 10*c**2 + 29*c + 92. What are the prime factors of n(h)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 g when three letters picked without replacement from xxgggggjxjgrrgrjjggg.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 9 + (-8 - -3 - 36).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -678 + 676. What is the units digit of 18 - (j - (-3 + -2 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 259, 589, 1051, 1645, 2371?\nAnswer: 3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - a**5 + 0 + (-1 - 2 + 2)*(a**5 - 2 + 2) + 2*a**5 - 3*a**5 + 4*a**5 - 6*a**5 + 10189*a**4 - 10189*a**4 - 19.\nAnswer: -5*a**5 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1392 and 4698?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24699991*h - 9. Suppose 0 = 12*b + 12. Let j be r(b). What is j rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*d + 57 = 0, -4*l + 20 = -d + 5*d. Let k(c) = 2*c**2 + 2*c + 1. Let a be k(-2). List the prime factors of (378\/8 + 1)*(l - a).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -23. Put s, -5, -4 in decreasing order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 233, 298, 363, 428?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/66*84 + -11. Sort -38, -5, 4, -4, h.\nAnswer: -38, -5, -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028449 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -9, -983 in decreasing order.\nAnswer: 6, -9, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88998 and -0.9.\nAnswer: 80098.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 6. Let w = n + 127. What is the common denominator of 23\/9 and (-2)\/(-3) + w\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1441730 * -182.\nAnswer: -262394860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*j - 2*f, 0*f + f = -3*j - 7. Let q be (j - 9)\/((-6)\/4). Suppose 47 = w - q. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*z + 60 = 0, 3*j - 4*j - 3*z = -33. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -615*i*w**4 - 352277*i*w**2 - i + 10088*w**4 - w + 3 wrt w.\nAnswer: -14760*i*w + 242112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/7 + 704*r**2\/7 + 80501*r\/7 - 81204\/7 = 0 for r.\nAnswer: -101, 1, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyuyuyryyzyyruy. Give prob of picking 1 z and 2 u.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-8)*4\/(-10))\/((-58)\/(-435)). Let d = 0.02 + -0.09. Which is the smallest value? (a) 2 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13699, -13700, -13701, -13702, -13703, -13704?\nAnswer: -13705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-5))\/3)\/(90\/36)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969296 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 29*p - 32*p. Suppose 4*k - 10*g = -8*g + 326, 413 = p*k + 3*g. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167122 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 2. Let o be q(-2). Solve -5*z + 2 = -2*y + 5, -3*z + 3 = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -67. What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-58)\/(-20)*2)\/(24\/120). Let d = -425 + 422. Is d < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5525 + 27172. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 + m. Let u(f) = -f**3 + 8*f**2 - 4*f - 8. Let r(i) = 2*n(i) + u(i). Let y be r(-6). Let p = 4 + y. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7997*9922\nAnswer: -79346234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*i + 245, -5*o + 175 + 85 = -2*i. Let t(n) = n**2 + 21*n + 84. Calculate the remainder when o is divided by t(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25424*g**3 - 25410*g**3 - g**2 + g + 4*g**2 to the form j*g**3 + z*g**2 + m + l*g and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39946777.\nAnswer: 13, 3072829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 87*w + 344. Determine t(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19*(-50)\/4750)\/(2\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**3*t**3 + 4*r**3 - 428*t**3 wrt r.\nAnswer: -12*r**2*t**3 + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5, 3, -28 in decreasing order.\nAnswer: 5, 3, -20, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/7*2\/36. Let a = -218 - -218.3. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/6 + 2*g**3\/9 - 571. Factor l(b).\nAnswer: 2*b**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1291.01245 to one decimal place.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 2*y**3 + 2*y**3 + (0*y**2 + 5*y**2 - 3*y**2)*(-16*y + 3*y + y).\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6916)\/22230 + 5 + 19\/(-5)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -69, -95, -117, -135, -149?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5853864um in nanometers?\nAnswer: 585.3864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ett when three letters picked without replacement from eddetedededdtd.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224954692 to the power of 1\/2, to the nearest integer?\nAnswer: 34999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)\/(s*s*s**(-2\/5)*s)*s\/(s\/s**(-5))*s**(1\/3)*(s*s*s**2*s)**5*s\/s**(-2\/9)*s**(2\/11)*s assuming s is positive.\nAnswer: s**(10058\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**3 + 11*x**2 + 6*x + 15. Let u = 298 - 309. Let l(z) = -5*z**3 - 6*z**2 - 3*z - 8. Determine u*l(m) - 6*v(m).\nAnswer: m**3 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(14\/(-6) + 2) + 82. Let k = 88 - v. Solve 3*q + 13 = 2*h, -h + k + 2 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50159 + -50162. Let k = 1 + 0. Which is the closest to k? (a) -4 (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4939, -39 in ascending order.\nAnswer: -39, -6, 4939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 10*w**2 + 5. Let z be p(-10). Suppose -g + 694 = 2*g + 5*f, -z*g = -2*f - 1198. Suppose -5*m = -3*m - g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -25. Let v(o) = z*o - 2*o + 5*o + 2*o. Is 10 a factor of v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25020 divided by 1668.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 449503175 less than -0.9?\nAnswer: -449503175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/13)\/(a\/(a*a**(4\/3)))*(a**(-2\/5))**(1\/85)*(((a\/(a*a**(-6))*a)\/a)\/(a*a**(-5)))**(-2\/15) assuming a is positive.\nAnswer: a**(824\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1222\/16397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1410 = -3*f + 5901. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(3 + 0). Suppose -2*u - 3*c + 17 = -75, -5*u + 5*c = -230. Let d = u - 44. Put -5, d, o in descending order.\nAnswer: d, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147 and 2046278?\nAnswer: -300802866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4283930, 4283929, 4283928, 4283927, 4283926?\n\"Answer: -b + 4283931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -195 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10526359, 10526362, 10526371, 10526386, 10526407?\nAnswer: 10526434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n + 1 - 4)*((-2*n - 5*n + 5*n)*(2 - 3 + 3) + 2*n - n + 0*n - 5*n + 4*n + 2*n).\nAnswer: -2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - 7*a**2 - 7*a. Let p(z) = z**3 - z**2 - z. What is -5*p(t) + u(t)?\nAnswer: -t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j + 2 - 22. Suppose 12*f = j*f + 280. Calculate the remainder when 138 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u**2 - 33*u + 6 = 0.\nAnswer: -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + v**2 - 13*v - 4. Let p be d(-5). Let l = 62 + p. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14308 + 14345. What is the closest to b in 0.4, -1, 1\/5, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -1803381 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 9\/22, -1, 0, -2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 331\/9 + 6\/27. Suppose 334 - s = 3*n. Let v be 2\/5 - 583\/(-55). What is the highest common factor of n and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plfmgpppp. Give prob of sequence gpm.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68508473899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(133) - sqrt(133)*-2)*-4)\/((sqrt(378)*5)\/sqrt(6))*-3 + 3)**2.\nAnswer: -432*sqrt(19)\/5 + 98721\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1910 = 7*g - 1805 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 1\/172, 0.065, -1?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2385*h - 42926. What is l(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + (-36)\/(-16). Suppose y + 15 = 2*y. Suppose l = -3*d + 7, -d = 3*l + 2*d - y. Solve 5*a = -o*b + 2, -b = -2*a + 4 + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22 + z + 31*z**2 + z - 9*z**2 + 17. Let s(t) = t**2 + t - 1. Let p(n) = -3*s(n) + w(n). What is the least common multiple of p(-1) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9846367 to the power of 1\/2, to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 105?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 371*d**2 - 6*d - 12. Let c(x) = -288636*x**2 + 4667*x + 9334. Let z(g) = 6*c(g) + 4667*m(g). Let a(t) = 3*t. Calculate a(z(j)).\nAnswer: -1077*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61520 divided by -15380.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 44. Let u(x) = -x**2 - 5*x - 4. Let w be (-6)\/3*6\/4. What is the smallest common multiple of q and u(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1394*u**4 + 2230*u - 2230*u)*(3 + 1 - 6)*(-1 + 1 - 1) to the form v*u**3 + o*u**4 + k + y*u**2 + g*u and give o.\nAnswer: -2788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3 = -i + 14, -183*b + 5*i + 71 = -166*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 6)*(112 + 22 + 98)*(0*b - 3*b + 4*b) to the form t + l*b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.7. Let x = 1983 - 1984.0065. Let t = g - x. Round t to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 270*s - 5937. Let w be u(22). What is n in 7\/6*n**4 - 1\/3*n**w + 1\/3*n - 7\/6*n**2 + 0 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 12*d - 840. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 11*a + 6 = 0. Let y(f) = 2*f**2 - f. Let z(p) = p**2. Give a*z(u) + 2*y(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 477*p**2 - 13 + 14 + 478*p**2. Let w be (-8)\/(-3) - 8\/12. Let o = -4 + w. Determine s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k - k**2 + 6*k**2 - 25*k.\nAnswer: 5*k*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 84*p**2 - 1653*p - 19494 = 0.\nAnswer: -38, -9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3121a - 1?\nAnswer: 31219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 7*d**3 - 172*d**4 - 25 + 173*d**4 + (0 + 0 - d**3)*(3*d - 5*d + 5*d) + d - d - 2*d**4.\nAnswer: -4*d**4 + 3*d**3 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 13) in base 14?\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttaaattttttttaaat. Give prob of sequence aat.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2941939 + 2.2?\nAnswer: -2941936.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -507.2 + 506.1. What is the closest to t in 1\/3, -0.03, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 3*y**4 - 3*y**4)*(4*y + 4*y + 3*y) + 66 - 66 + 18*y**5 + (y - 4*y + 2*y)*(y**4 - 2*y**4 - y**4).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**3 + 36*k. Let b(z) = 66*z**2 - 13*z. Let r(g) = g**3 + 22*g**2 - 2*g. Let n(v) = b(v) - 3*r(v). Calculate 4*f(a) + 22*n(a).\nAnswer: -2*a**3 - 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/11 + 1002*s**2 + 1840674*s + 1127106046.\nAnswer: 2*(s + 1837)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/3, -9526.8, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 6 + 6 - d)*(2*d + d - d) in the form p + v*d + z*d**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 25. Let y be r(-6). Let c be (9\/3 - y) + 0. Solve n + 4*b + 19 = -4*n, 0 = -2*n + 2*b - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35669584 at most as big as 321026248\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -29, -84, -193, -374, -645, -1024, -1529?\n\"Answer: -3*h**3 + 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:16 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26238000 rounded to the nearest 100000?\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68218 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 + 2 - -4 - (-4 + 8 + 35)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12452 or -12453?\nAnswer: -12452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.747 - -7.8. Let m = u + -0.053. Do -19 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174753116?\nAnswer: 2, 43688279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 5, -2 in decreasing order.\nAnswer: 8, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 + 1705564*l - 363618569762 = 0.\nAnswer: 426391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5*g - 4\/5*g**2 + 0 = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 595277009 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -5*s. Let g be (-162)\/8*(-16)\/s. What is the units digit of 1*-1 + g\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1. Let g(m) be the second derivative of m**4\/6 + m**3\/3 - 6*m**2 + 14*m. Let r(v) = 12*b(v) + g(v). Solve r(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8392398 and 4914?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745 = 199*r - 625 + 1273 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 6*i**2 + 6*i - 3. Let f be l(5). Let o(b) = f + 28*b - b + 13*b. What is the remainder when 167 is divided by o(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185842 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*w + w**5 - 29*w**4 - w**5 + 54*w**4 - 24*w**4 + 2*w**5 wrt w.\nAnswer: 40*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-15) - (28\/12)\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j. Let u(m) = 13*m. Let w(v) = -5*b(v) - 2*u(v). Suppose 18*y - 43 + 7 = 0. Let g(z) = 14*z**2 + z**2 - 4*z**2 + 6*z**y. Calculate g(w(a)).\nAnswer: 272*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1172, -4697, -10566, -18779, -29336?\nAnswer: -42237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 2 = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1 - 0\/3. Let z(m) = 16*m + 7. Let q(t) = -5*t - 2. Suppose -f + 4*h + 4 = 3*f, 0 = 2*f + 5*h - 23. Let k(p) = f*z(p) + 14*q(p). Calculate k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3586, 8842, 15774, 24388, 34690, 46686?\n\"Answer: c**3 + 832*c**2 + 2753*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(6))\/sqrt(5))\/(sqrt(576)*5).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458790 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: Solve 65*r - 230*r + 1485 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399.5901 times 0.2?\nAnswer: -279.91802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a + 1. Suppose 0 = 2*m + 1 - 7. Calculate the remainder when n(m) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1, -837 in ascending order.\nAnswer: -837, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.093 + 422.907. Let y = 422.99183 - l. Round y to four dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187934639 to the nearest integer?\nAnswer: 34466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9*(120\/(-5))\/(-4). Which is smaller: x or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/5 - (-112)\/5 is divided by (7 - 5)\/1*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/3 + g**2\/2 + 4*g. Let h be y(-2). Is (-6153)\/(-14)*(-2)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzllooolizz. What is prob of picking 1 z and 1 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/3)*y)\/y)**(-15)*y\/y**(-2)*y*y**(1\/4)\/y)**(-5) assuming y is positive.\nAnswer: y**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.9358 nanometers to meters.\nAnswer: 0.0000000069358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2254, -4515, -6776, -9037, -11298, -13559?\n\"Answer: -2261*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 - 368*r**4 - 264*r**4 - 162*r**4 - 174*r**4 + 1671*r**2 wrt r.\nAnswer: -23184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3303421.349 + -3303524.70399686. Let w = -86.3549965 - r. Let o = 17 - w. What is o rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2902 - 1603. What is the fifth smallest value in -1\/10, 5, v, -2, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3 + 5 - 37 + 13 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.318 + -2.12. Let v = 0.19799762 - h. What is v rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105276363?\nAnswer: 3, 67, 523763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 4, -7\/9, 0.2, 3.9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225280 is divided by 1760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41160 divided by -42?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, -5, 26, 10287?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2690704 to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 173. Solve -4*c - v = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -1. Let y = 13 + -8. Suppose -y*u - 3*g + 882 = -g, 4*u - 2*g = 702. What is the greatest common divisor of c and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 14.6404.\nAnswer: -5.85616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*t + 5. Suppose c - 3*x = -4*c + 27, -4*x - 1 = t*c. Let d be ((-12)\/(-9))\/2*3. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -112 (b) 0 (c) 0.3 (d) -4 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053808029 to 6 decimal places.\nAnswer: 0.005381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/((p**0*p)\/p))**(24\/5)*((p*((p**0\/p*p)\/p)\/p)\/p)\/(p\/p**2) assuming p is positive.\nAnswer: p**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926124.8l to millilitres.\nAnswer: 926124800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 0*o - 10 - 2\/15*o**5 - 1\/2*o**4 + o**2 + 2\/9*o**3. Factor f(c).\nAnswer: -2*c*(c - 1)*(c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4.27?\nAnswer: -4.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*(b\/b**(2\/11))\/b)*b)\/(b*b**(-4\/9)))\/(b\/(b*b**(1\/2)*b*b))**(9\/2) assuming b is positive.\nAnswer: b**(5495\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((560\/(-100))\/(-2))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12 - ((-908)\/2652)\/(-1). Do 1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -821 - -825. Solve -5*b + 24 = -3*b - a*z, 16 = -b - 5*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/z**(-2\/17))**(-9)\/((z\/(z\/(z\/(z*z**4))))\/(z**(-2)*z)*z*((z*z**1)\/z)\/z*z\/(z*z\/z**(-2\/25)*z)) assuming z is positive.\nAnswer: z**(-52266\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*318472.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1800188478 to the nearest one hundred thousand.\nAnswer: 1800200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2585.877848 rounded to the nearest integer?\nAnswer: -2586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*v + 8 - 25, -3*v - 3 = 0. Suppose -2*t + 5*u + 14 = -17, 49 = 5*t - 3*u. Let m = t - j. Solve 0 = m*y - 4 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, 4, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05101 and 27.\nAnswer: -1.37727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.55 times 2?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 4*a)*(-158 - 94 - 9 - 10).\nAnswer: -542*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -26474c?\nAnswer: 264752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 112. Let u(d) = -2*d + 5. Let x be u(y). Suppose -x*h - 68 = 47. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w + 9. Suppose 109*b = 116*b - 14. Calculate o(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (1 - -6) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*-2*sqrt(84))\/sqrt(12))**2 + ((sqrt(7)*-1 + -4)*-5 + 1)**2.\nAnswer: -280 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a - 8 + 65*a - 56*a + 448*a.\nAnswer: 434*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3826 + 9496. What are the prime factors of q?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1339344*m**3 + 2098*m**2 + 2*m - 27?\nAnswer: -8036064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -218, -327, -436?\n\"Answer: -109*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(500)*-6 + 0)*5)**2.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97154 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1397 + -887. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4195140\/8526 - 4\/98. Suppose -4*d + 0*d + 144 = 0. Calculate the highest common divisor of d and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10240725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5 + 6 + 3*z + z + 11*z + 2*z**2. Let v = 98 - 105. Let w be m(v). Solve 2*y - 6*o + 2*o = 24, 28 = w*y - 4*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:55 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 190 - 252 + 62 = 0 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31335*w**2 + 12 - 31491*w**2 - 12.\nAnswer: -156*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**2*o*r + 2*h**2*o + 2*h**2*r + 287*h**2 - 33*h*o*r - 174*h*o - 3*h*r + 2*o wrt h.\nAnswer: 16*o*r + 4*o + 4*r + 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/12*(-53 + 1) is divided by (-1 - -4)\/((-4)\/7 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {h: 1, k: 1, a: 4, v: 1, e: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99721?\nAnswer: 99721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*x**2 - 9734884*x + 474872 = 0.\nAnswer: 2\/41, 59359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:36 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7731 less than 172?\nAnswer: 7903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777510 and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 32. Let w be -1 + -2 + 1\/(3\/45). Suppose -w*d + 13*d = -3*c, -d = c. Determine x(c).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65448.08 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 48 = -0*y. Suppose -y = 5*k - k. Let c(t) = 2*t + 8. Give c(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-144)*6*(-6)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*(-243)\/(-6). Find the second derivative of -4 - 2 + f*v - 23*v - 19*v**2 wrt v.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/14256 and -151\/9720.\nAnswer: 213840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06544 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7317385 is divided by 172?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + w - 8. Let x be q(4). Suppose -4*k + 8*k = -x. Let u = 20 + k. Solve u*i - 4 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(72) + -4.\nAnswer: -24*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11238006 by -494.\nAnswer: 22749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -4. Let d = 4.4 + 0.6. Let t = d + q. Sort t, 5, -4\/3 in ascending order.\nAnswer: -4\/3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**2\/2 - 4*m - 23. Let y(t) = t**2 + 5*t + 3. Let k be -4 - 2*3\/6. Let d be y(k). Calculate n(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {i: 1, x: 3, r: 1, a: 1, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1580.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -10. Suppose x = 3*g + 5*x - 40, -o*g + 59 = -x. Let q(a) = -11*a**3 + 49*a**2 - 12*a - 8. What is the smallest common multiple of g and q(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgx when four letters picked without replacement from {x: 5, s: 3, g: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2995*s**3 + s**2 + 13521*s wrt s.\nAnswer: -17970*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*o + 3, 2*o = -2*d - 2*o - 6. Suppose -195 = -4*q - b, q + 2*b = d*q - 100. Let z = q + -30. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8) - sqrt(72)\/sqrt(4))**2 - (-3*sqrt(350))\/sqrt(7).\nAnswer: 15*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/420 - 11*z**4\/84 - 121*z**3\/42 + 10*z**2 + 2*z. Factor f(k).\nAnswer: -(k + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:56 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 1\/12*a**4 + a + 0 - 2\/3*a**3 - 3\/2*a**2. Let x(h) = h + 1. Let u(m) = -r(m) - x(m). Give u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, o: 6, n: 1, j: 4}. What is prob of picking 1 n and 1 j?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 6) to base 16.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -77. Let k(p) = -p**3 - p**2. Let u(w) = -6*w**3 + 4*w**2 - 2*w + 1. Let t(l) = -3*k(l) - u(l). What is t(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8*(-7 + 1). Is t at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 14*b + 12. Let x(v) = v**2 - 13*v + 11. Let f(g) = -5*m(g) + 6*x(g). Determine f(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39b7380b1 - 4?\nAnswer: -39b7380b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:37 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 7.57\nAnswer: 3.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*j + j**2 + 0*j**2 - 275*j + 1 - 18*j as o + d*j**2 + x*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from pdffpsmspbbmmfbp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 100\/3, 0, 5, -6, 3, -8.6, -1\/4 in increasing order.\nAnswer: -8.6, -6, -1\/4, 0, 3, 5, 100\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2. Suppose 0 = -3*o + 4*a + 53, 5*o - 113 = 5*a - 18. Suppose 5*w - o = 4*k - 3*k, 12 = -4*k. Let n be g(w). Which is smaller: 4\/9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.7468 rounded to one dp?\nAnswer: -137.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-60))\/((-3)\/(-15)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*n = 3*m - 1059, 635 = -3*m - 2*n. Let i = -129 - m. Calculate the highest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.747807ml?\nAnswer: 0.009747807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1677 and 7922707?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3934633.011 and 167.05.\nAnswer: 3934800.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2225 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 10:27 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75.05, 11, 0.07, 5, 4 in decreasing order.\nAnswer: 11, 5, 4, 0.07, -75.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.02 (b) 0.5 (c) -14 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15*a - 100. What is the remainder when 26 is divided by o(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -759.56 - -747. Which is bigger: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 14) in base 2?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 8*r + 11. Is s(-9) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {a: 2, h: 4, w: 1, n: 1, u: 1, q: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(-d + d - 2*d**2) + 1355*d - 1355*d + 160*d**3.\nAnswer: 164*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.64652 - -630.89568. Let h = 349.5131 - m. Let i = h + 297. What is i rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9503189629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 15 = 14*j - 10*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 - 304213618*a**3 + 30848641893621180*a**2 - 1042730790565341992450382*a + 1042730759716700403042819 = 0 for a.\nAnswer: 1, 101404539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -6, -11, -20, -33, -50?\n\"Answer: -2*l**2 + 5*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 19*q**2 - 2*q - 36. Let a be g(-19). Suppose 2 - 27 = -5*s, -4*b + 1342 = -a*s. What is the greatest common factor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14)*(-5 + (-9)\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 7, 108, 0.26 in decreasing order.\nAnswer: 108, 7, 0.26, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let y be 4\/28 + 630\/49. Suppose 37 = 3*q + y. Let g(m) = -8*m + 0*m**2 - 2*m**2 + q*m. Give g(s(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let w = -59\/387 + -3\/43. Let f = -2.921 - -1.921. Which is the nearest to m? (a) f (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 - 4*f**5 + 3*f**5)*(-4 + 5 + 1) + 4*f**5 - f**5 + 0*f**5 + (1 + 0 - 3)*(1835 - 103*f**5 - 1835).\nAnswer: 205*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73975, -73974, -73971, -73966, -73959?\nAnswer: -73950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let s(a) = 2*a - 6. Let d(z) = 1038*z - 6228. Let l(y) = -d(y) + 1038*s(y). Give l(i(m)).\nAnswer: 1038*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2680 + 0*q**3 - 2680 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*i + 340*i**2 - 1016*i**2 + 338*i**2 + 343*i**2 - 175*i in the form w*i**2 + j*i + n and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4381300398 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4487 and 5876?\nAnswer: 26365612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9108 and 5612?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4\/19)*y*y*y*y\/y**(2\/11))\/(y**(1\/21))**22)**(-2\/3) assuming y is positive.\nAnswer: y**(-31250\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(2\/3))**(24\/5)*h\/((h*h*h**(-3)\/h)\/h)*h**0 assuming h is positive.\nAnswer: h**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2\/5, 4 in increasing order.\nAnswer: 2\/5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-5)*50*-3. Let p = -445 + u. Solve -p*z = 21 - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17 + 3*a**2 - 8 + 25. Let w(v) = 5*v. What is w(x(m))?\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4666267 to 4 decimal places.\nAnswer: 0.4666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**6 + 1. Let i = 11 + -12. Let d(h) = -6*h**6 + 17*h**2 - 2. Let j(a) = i*d(a) - 2*f(a). Find the third derivative of j(u) wrt u.\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 0.4 (c) 0.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 85. Let f = m - -29. What is the tens digit of (f - (1 + -1))*37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-2*f + f + 3*f) + 172*f - 345*f + 188*f - 3*f + 5*f - 3*f)*(-6 + 0 + 4 + (-3 + 2 + 3)*(2 - 4 + 0)).\nAnswer: -72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8440*y + 101470. Give j(12).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/6, -0.5, -10, -5007\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let v(y) = 3*y**2 + 4*y. Let p = 527 + -528. Calculate p*v(l) - 4*k(l).\nAnswer: l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-1)\/(-51)). Suppose w*t = 16*t + 15. What is the remainder when 29 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -n - 10, -5*q - n + 24 = -4*n. Let x be (-4)\/12 - 16\/q. List the prime factors of 14 - (-3)\/(1*x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(45) + -3)**2*6 - ((6*sqrt(405))**2 + -3*(sqrt(45) + 0))) + -4.\nAnswer: -14290 - 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o - 389. Let g be s(-66). Solve 0 = 3*i - 2*d + 1 + g, -5 = 4*i + 3*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-5) - 10)\/((-2)\/20). Does 4 divide (b\/6)\/((-32)\/(-5136))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 6:43 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 6*z + 2. Let x be c(6). Find the first derivative of x + 6*q - 2*q - 1 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/8)\/(((-3618)\/144)\/(-67)))\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + (2 - -29) + -7 + 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11 + 28*x**3 + 46*x - 4*x**3 - 13*x + 2*x**3 - 43*x**2. Let k(q) = -q**3 - q**2 + 1. Let y(t) = 5*k(t) + u(t). Find f, given that y(f) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 22*t**2 - 37*t + 11. Let x(k) = k. Let b(u) = 5*x(u) - z(u). What is the units digit of b(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-53.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 9. Let j(z) be the first derivative of -z**2\/2 - z + 1. Let s(a) = -c(a) - 4*j(a). What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27230136211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*u + 79. Suppose u + 21 = c. Calculate the greatest common divisor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*s - 37*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/9*15\/(-2). Suppose 4*q - p = -8. Suppose -q*c + 6*c - 24 = 0. Calculate the remainder when 15 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:14 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1127, 759, 127, -775, -1953, -3413?\nAnswer: -5161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from dukdykyyykyyddyykd?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8589319.\nAnswer: 8589319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 12*k**2 - 3*k + 6. Let x(o) = -o**3 - o**2 + 10*o - 3. Let p be x(-4). What is the hundreds digit of t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 511.6 + -512. What is the closest to 0.3 in 12, -2, d, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) - -2*(-15)\/(-36). Let p(b) be the first derivative of 3 + 2*b - o*b**3 - b**2. Determine p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2151, -2154, -2157?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -801*h**2 + 6*h + 798*h**2 - 5*h - 51 to n + a*h**2 + j*h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b - 189*b - 169*b + 640 + 64*b - 639 to the form s + x*b and give x.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + 10 - (-3 - (-4 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -239b67 + -74?\nAnswer: -23a01b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 2*m + v - 75, 4*m + 4*v = -40 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 970*h - 9694. Give y(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5163657 is divided by 1965.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -104 + -100.569\nAnswer: -204.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 10. Let x(u) = -3*u + 13. Give 4*w(s) + 3*x(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, f: 1, n: 4, x: 4, z: 1}. Give prob of picking 1 n, 2 x, and 1 g.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -395\/17, -4, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(209)*2 + sqrt(209) + sqrt(209)))\/((sqrt(2112)*2)\/sqrt(3)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-44)*(-8)\/(-288)*-22?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*h + 14, 2*h = -10*k + 11*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 411 + -236. Suppose -u - z = -2726. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -78. What is the remainder when 118 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 326 + -31. Suppose 0 = -76*c + 65*c + 7832. Suppose t = l - c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**(-8\/11))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53166427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47956944 and 6?\nAnswer: 47956944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5935*m**4 - 32*m**2 - 3*m + 1403007.\nAnswer: 71220*m**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81788475 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308\/5 + -67. What is the common denominator of 5436\/(-480) + (-2)\/(-10) and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12. Sort 14, u, 5.\nAnswer: u, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s. Let q(m) = -m**2 + m. Let r = 21 - 29. Let u(g) = r*q(g) + i(g). Let l(b) = b + 10 - 10. Determine u(l(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12672 and 29376.\nAnswer: 646272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/3 + 8*a**3\/3 - 6*a**2 - 856*a. Factor w(s).\nAnswer: -4*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 368830*h - 368830*h. Let u(q) = -19*q. Give u(r(v)).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-6)*(2520\/(-3050))\/7. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 96128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(176))*6 + 1*(-2*sqrt(176)*2 + sqrt(176))**2.\nAnswer: 120*sqrt(11) + 1614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.674224 nanometers?\nAnswer: 0.000000674224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5492.9987 to the nearest 10.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 10*g**2 - 31*g - 23. Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 10*m**3 + 1 + m**3 + 2*m**2. Let y be x(1). Suppose -y = -2*a - 4. Solve 0 = i - 0*i + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561800774.\nAnswer: 2, 13, 61, 1069, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.371 (b) 0.857 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1243 in -10, 589, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 151 = -31. Let u be ((-448)\/(-84))\/((-4)\/y). Solve 4*t = -3*n - u, 3*n + 3*t = -2*t - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, 10, -553 in decreasing order.\nAnswer: 10, 5, 4, -2, -553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 803\/365*(-4)\/(-22). Which is the biggest value? (a) -13 (b) p (c) 29\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*w - 0 - 7, 2*j = -2*w + 8. What is the closest to -0.1 in 0.4, -3, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4389.98 - -0.21968\nAnswer: -4389.76032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:21 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (1*sqrt(2057) + -1 + -1 + sqrt(2057)*-2 + sqrt(2057) - (-2 + 4 + sqrt(2057) + -1))**2.\nAnswer: 66*sqrt(17) + 2065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041 = 238*s - 74*s - 1091 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*h + 1 + 3 = 0, -5*h = -4*v + 10. Suppose o = 4*k + 126, o = -v*o + 5*k + 130. What is the highest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.1. Suppose 70 = 11*i - 62. Which is the fourth biggest value? (a) 1\/10 (b) i (c) z (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 20 = 3*o + c, -4*o + 4*c = 0. Put o, 2, -3, 3 in descending order.\nAnswer: o, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 99 = -l, -4*l + 27 = 790*d - 793*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -430.9 and -1.9914.\nAnswer: -432.8914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/18 - -2\/9. Let j = 0.1 + 0.3. Let l = -3 - -3.5. Which is the closest to t? (a) j (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -36 (c) -0.5 (d) -2\/5 (e) 0 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21533)\/(-61) - 2\/2. What is the greatest common divisor of f and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 383?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17976 - -17976. What is the third smallest value in 3, m, 0.27, -0.01?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpopjopodojspppsd. What is prob of sequence dzoo?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -2, 12.5, -9\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o - o)*((4 - 4 - 2*o**3)*(0 - 17 + 3) + 3*o**3 + o**3 - 7*o**3) + 2 - 3*o**4 - 2.\nAnswer: 47*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))**(3\/32)*y**3*y\/(y**1*y))**4 assuming y is positive.\nAnswer: y**(265\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 2273231.\nAnswer: -43191389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 278 = -4*y, 173 = -3*x - 3*y - 238. Let u be x\/(-9)*1\/3. Factor 4\/5*g**4 + 0 - 4\/5*g**2 + 0*g**3 + 2\/5*g**u - 2\/5*g.\nAnswer: 2*g*(g - 1)*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Put j, -3, -2 in ascending order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6 + 4. Suppose b*r = x - 5*x + 22, 19 = 4*x + r. Calculate the common denominator of x\/(-6)*(-1 - 35) and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u - 28. Is (12\/7)\/((-4)\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = 13*p - 140. Let y(b) be the second derivative of b**5\/20 - b**4\/6 - b**3\/2 + 3*b**2\/2 - 97*b + 2. Determine y(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35 from 31.19.\nAnswer: 66.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 723 from 856.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356034 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: Collect the terms in -9*t - 21*t + 16*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -672*d**2 + 5356*d + 127. Calculate a(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -276 divided by 92\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*c + 3*c = -14, -5*b + c = -22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 3*d**2 + 4*d - 8. What is t(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, 0.2, 8, 48 in ascending order.\nAnswer: -165, 0.2, 8, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:07 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = -2*m, 4*a = -2*m + 7*m - 47. Suppose 4*f = 4*x - 8, -2*x - 2*x + 5*f = -m. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111796774*b**2*n**3 + 15*b**2*n**2 + 71357*b**2 - 3*b*n**3 wrt n?\nAnswer: -670780644*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9699 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppqppqpqp. Give prob of picking 2 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = 2*m. Suppose 27 = -0*u + 3*u. Suppose 41 - u = 4*a. Solve a = o - m*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 1398*b - 84444. What is r(-58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4))\/b)\/((b\/(b*b**(-4\/7)*b))\/b*b)*((b\/(b**(2\/5)*b*b*b))\/b)**(-1)*(b*b**(-1)*b)**26*(b*b**(1\/4))**(-5\/4) assuming b is positive.\nAnswer: b**(13589\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7937\/984 + -207\/82. Calculate the common denominator of -89\/30 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2))\/y**(4\/3))\/(y**(-1))**(-14\/3) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 - 4*l - 36. What is the least common multiple of m(5) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((sqrt(76)*-2 + sqrt(76))*4)\/(sqrt(4)*-2*5).\nAnswer: -2 + 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860934 is divided by 514.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38266 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 3, w: 4}. What is prob of sequence wkwk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - ((sqrt(153) - (sqrt(153) - (((sqrt(153)*2 + sqrt(153))*1 - sqrt(153)) + sqrt(153)))) + sqrt(153)))\/(sqrt(9)*1*-3)*3*3 + 1)*-6 + -2)**2.\nAnswer: 864*sqrt(17) + 49636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 25*f**2 + 41*f + 665. Let s be p(-26). What is the highest common divisor of s and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2 - -2 - -3. Suppose -3 = x*k - 1. What is the lowest common multiple of (-1)\/(k - (-5)\/6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1*(sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99)*-2)))*-6)\/(sqrt(1296) + (sqrt(1296) - -5*-1*sqrt(1296))).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(243) + -3) + -4 + (sqrt(2904)*-1 - sqrt(2904))\/(sqrt(80)\/(sqrt(20)\/sqrt(2))) + 4)**2.\nAnswer: -2736*sqrt(3) + 17652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -63450\/941?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 2 + 3)*(7*d - 23 + 5*d - 11*d) to the form q*d + r and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let b be p*4*6\/4. Is 2 a factor of (4\/b)\/(3\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001 - 11101100010011?\nAnswer: -11110010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.4 - 2.6. Let q = -30.03 - k. What is the nearest to q in -3, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24568623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 34 = -26. Suppose 4*q - j*q = 0. Suppose 2*u - 6*h = -4*h + 590, q = 4*u + 4*h - 1180. Does 59 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + h = 2, 3*o - 9*h - 9 = -7*h. Solve -3*z - 18 = 3*t, 3*z + 4*t + o = -18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -153*x - 135. Is 126 a factor of y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - 3*o + 2. Let v(s) = -1. Let i(w) = w**2 - 2*w + 3. Let r(u) = i(u) + 2*v(u). Let g(x) = -5*r(x) + 3*y(x). Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4\/2 - 297*x**3\/2 - 8208*x**2 + 18138*x + 67896 = 0. What is x?\nAnswer: -41, -2, 4, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/7)*s)\/s*s**(-2)\/s)\/(s*s**(1\/5)*s**(-8)) assuming s is positive.\nAnswer: s**(118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 614 and 4.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -1. Let x = -1150 - -3449\/3. Which is the closest to 0.1? (a) l (b) x (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 758?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 4*y - 7. Calculate x(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24806705 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097277807 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 1361?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i - 3*i + 19480. What are the prime factors of i\/11 - 7\/77?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -10.105, 3 in ascending order.\nAnswer: -10.105, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 408*j - 24204. Give n(336).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 259, 1041, 2353, 4201, 6591, 9529?\n\"Answer: t**3 + 259*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 30*p = 147. Let u(o) = o**2 - 52. Give u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -23 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -3*w - 5*r - 135, -65 = 5*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -l - 25, 5*l = -4*k - k - 5. Suppose -t = 4*t - 9*t. Suppose t = 10*b - 34 + 84. Sort b, 2, k in decreasing order.\nAnswer: k, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 61 = -3*q - 10*a, -17 = -q - a. Is q < 113\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from ghhu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19116769.\nAnswer: 7, 2730967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l**2 - 8*l - 8. Let z(m) = 4*m + 5*m - 4*m**2 + 3 - 9*m + 3*m. Determine 3*d(s) + 8*z(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021551008?\nAnswer: 2, 239, 133571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/17)*j*(j*j**(-15)\/j*j)\/j*j*j**(9\/8)\/j*j*j**(2\/105) assuming j is positive.\nAnswer: j**(-170983\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from mslxsmyq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4173 - 4725 + 8333 - l + 2*l**3 to y*l**2 + q*l**3 + o*l + f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-60)*24\/16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6638*y - 13313*y = -6526*y - 6258 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -12, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*i**2 - 1196*i**2 + 35*i**2)*(-i + 0*i - 2*i).\nAnswer: 3306*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1438454 = -116*h + 4233706. What are the prime factors of h?\nAnswer: 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8808 + 8975. Sort 3, 1, 0, k, 5 in decreasing order.\nAnswer: k, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/24*0)\/(-1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19 - 24*u + 21 + u**2 + 12*u. What are the prime factors of m(15)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/87 (b) 13\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1648\/9 - 404\/3*i**2 + 2456\/9*i + 194\/9*i**3 + 2\/9*i**4.\nAnswer: 2*(i - 2)**3*(i + 103)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1048*d + 13606. What is f(14)?\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 8 - 27)*(-19*d + 31 - 31).\nAnswer: 855*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2299.3 - -2404. Let i = s + -105. Let g = 0.39 + 0.01. Which is the nearest to -0.03? (a) i (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + n + 92, -2*a + n - 36 = 64. Let u = 69 + a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -98 + 16*t - 40 - 110 - 56 + 71. What is v(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o - 12 = 74*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-544)\/26 - 6956\/90428?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(5*d - 4*d - 3*d) - 4*d + d + d)*(34*d**3 + 3 - 55700*d + 55700*d).\nAnswer: -136*d**4 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**7\/2520 - a**6\/360 - a**5\/120 - a**4\/24 - 6*a**2. Let j(v) be the second derivative of t(v). Determine j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8787.231l in millilitres?\nAnswer: 8787231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -2. Suppose 3*z - k*y = -19, 5*z + 4 = 3*y - 1. Let x(n) = n**3 + 14*n**2 - 28*n + 64. Let b be x(-16). Solve b = 2*w - z - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36635, -36754, -36949, -37214, -37543?\n\"Answer: z**3 - 44*z**2 + 6*z - 36598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/66245?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let p(v) = 895022*v. What is x(p(w))?\nAnswer: 895022*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/45*(14 + 1). Put 1, x, -6 in increasing order.\nAnswer: -6, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118438?\nAnswer: 2, 59219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -244315224?\nAnswer: 244315250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 6:11 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1822*1.30778.\nAnswer: -2382.77516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78091879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 19, 0.4, 387?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429204 divided by -193.\nAnswer: 429204\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -61*b**4\/24 + b**3\/2 + 35*b**2. What are the prime factors of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3329 = -12*t - 1385. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 1242178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 3. Let l(z) = -z**2 - 6*z - 3. Let h be l(-5). Let i = h + 0. Solve 4*x + f*u = 4*u - 3, 2 = -i*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1942*k. Let z(s) = 868*s**2. Determine t(z(v)).\nAnswer: -1685656*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1078 (base 12) to base 8.\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 75 = 25*j. Suppose -5*t - j = -0*n + n, 0 = -2*n - 4*t - 24. Which is smaller: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3, -3*g + d + 0 = -15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994494 greater than 9.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.2 (c) -0.7931 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 800054057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -58. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1999 is divided by 118.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 1\/6, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783468 is divided by 52450.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2599*a + 34. Suppose 4*i = 5*i + 4. Let n be g(i). Round n to the nearest one hundred.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18524*20.17\nAnswer: 373629.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 = 3*x. Suppose 0 = -d - x, -3*h + 18 = -2*d - 59. Suppose -20*m - 935 = -h*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(10)\/sqrt(5) + (sqrt(8)*-2)\/sqrt(4) + sqrt(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 21*n**5\/20 + n**4\/3 - 2*n**3\/3 - 331*n. Let j(m) = -799*m**3 - 153*m**2 + 153*m. Give -153*b(k) - 4*j(k).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11876233, -3 in descending order.\nAnswer: 11876233, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-10))\/((-45)\/(-12) - 3). Calculate the remainder when 41 is divided by 85\/15*(6 + -3) - d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138269 - -5806837\/42. Let h = j + 171\/14. Let o = -19\/41 + -4519\/246. Calculate the common denominator of o and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.236 + -0.9?\nAnswer: -99.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106790 + -69517. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*y + 4*p + 17 - 3, 0 = -4*p - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -10. Let v be ((-6)\/(-5))\/(w\/(-370)). Suppose v*s - 111*s - s**3 = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17001*a**3*r - 7*a**2 + 46230*a*r - 9*r wrt a?\nAnswer: -102006*a*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -20*l**2. Let c(t) be the first derivative of t**2\/2 - 12*t + 35. What is z(c(s))?\nAnswer: -20*s**2 + 480*s - 2880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.45.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*y = 21, 7 = -313*y + 314*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/7, -0.03, 1, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 516?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 8*a - 13. Let h be ((-1)\/2)\/(435\/110 + -4). Is t(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.92. Let u = j + 0.38. Let v = 0.8 - -2.2. Which is the nearest to u? (a) -0.2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (-30 - -54 - 20)) + 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8)\/(2\/(-4)). Which is bigger: 21 or l?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 64 = -23*y. Let j = y + 32. Solve -3*f - 2*t = j, -5*f - 5 = 3*t + 2*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974526497 to the power of 1\/2, to the nearest integer?\nAnswer: 54539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12815592 divided by -6.\nAnswer: 2135932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 + 11*m + 14. What is x(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3*4\/6. Let o be t\/(-11) - 92\/(-22). Let -v**2 - 4 - v - 4*v + 5*v - o*v = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 299391 and 690?\nAnswer: 2993910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 2}. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2156).\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783498460 divided by -70051?\nAnswer: 25460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**4 - 3*z**5 + 2*z**4 - 79*z**3 - 151*z**2 + 58*z**3 wrt z?\nAnswer: -180*z**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.6777 and 113258018.\nAnswer: 113258023.6777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573358 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -0.0971862\nAnswer: -0.007774896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h - 0*h. Let i(f) = f**3 + 3*f**2 + 4*f + 2. Let a be i(-2). Let d = 4 + a. Calculate the remainder when h is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 55.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*d + 9 = -3*d, 30 = 2*q - 5*d. Suppose s - q = -0*s, 3*r - s - 19 = 0. Suppose 6*k - r = 2*k. Solve -k*n - 3*n = 3*m + 34, -3*m + 11 = -4*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/110 and -89\/18.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 9 - 15. Let i(h) be the second derivative of -2*h**5\/5 + h**4\/12 + h**3\/6 + 105*h. What is i(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbib when four letters picked without replacement from fibbbbiibiibcbbib?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p - 49. Let w be m(3). Let o(s) = s**3 - 18*s**2 + 18*s - 7. Give o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**8\/6720 - r**7\/1680 - 23*r**5\/60 - 2*r**2. Let f(k) be the third derivative of u(k). Factor f(c).\nAnswer: 3*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 188 (b) -0.4 (c) 2 (d) 28 (e) -88\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 8)*(2 - (-9)\/(-2)). Differentiate -2*s - 2*s - d + 0 with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 3\/5, -4, 15235\/8, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 1\/4, -2\/9, 7\/192, -4\/7, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4669 and -0.055?\nAnswer: -256.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**3\/2 - 3*a**2\/4 - 28. Factor u(x).\nAnswer: -3*x*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 0. Suppose -k + 3*k + 8 = 0. Let w be (k\/30)\/(24\/120). What is the third smallest value in -0.08, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*g + 31 = 0, 77 = -3*h + 7646*g - 7648*g for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 58 = 3*a - 6*w, 0 = a + 2*w + 16. What is the remainder when 73 is divided by (-369)\/6*12\/a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27517*t**3*v - 2*t**3 - 10119*t**2 wrt v?\nAnswer: -27517*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let c = 12 - 21. Let x = b - c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 2*h, 0 = -3*u - 339 + 351. Solve h*t = -5*f + 3, 22*t + 23 = 17*t + f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 772?\nAnswer: 75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 9*i + 20)*(13 + 15 - 7)*(-1 + 1 - 2*i) to the form g*i**2 + u*i + h and give g.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34389444319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.11 (c) -11\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5859 is divided by 1464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349627019?\nAnswer: 3, 13, 19, 257, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from pppppddp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.01 + 0.31. Let i = -0.9 - x. Which is the nearest to -1? (a) -1 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 3. Let b = n - -9. Let q = 122.4 + -122. Put b, -0.5, q in descending order.\nAnswer: b, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -32*r. Let i(v) = 24*v. Let m(l) = 36*l. Let c(s) = 8*i(s) - 5*m(s). Give n(c(k)).\nAnswer: -384*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.510218634 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let o(v) = -1157 + 4*v**2 + 1157. Calculate o(m(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1845145 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1721, 1794, 1867, 1940, 2013?\n\"Answer: 73*x + 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - 3 - 2 - 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 - 201. Calculate the remainder when 95 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(1\/8))\/z*z))\/z**(-6))**(7\/4) assuming z is positive.\nAnswer: z**(329\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.006 + -27. Round j to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 - 5*c - 6. Let m(x) = -2*x**2 + 26*x - 55. Let s be m(10). Let h(b) = -6*b**3 + 7*b + 9. What is s*h(q) + 7*d(q)?\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l + 4*i = -57*l - 40, 4*l = 2*i + 32. Sort 2, l, -5, -8, 4 in ascending order.\nAnswer: -8, -5, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.86 + 7.3. Let y = 5.11 + o. What is y rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*h - 5 = 0, -6*h + 5 = j - h. Let n be 16\/(-60)*(j - 3\/(-6)). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 3. Let t = 5 + -12. Let w be d(t). Let l be (-1 + 0)*-13 + (150\/10 - 21). Solve -12 = -l*p + w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/213864 and -22\/9.\nAnswer: 641592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(78)*-2*-6)\/(sqrt(96)*-2*6 + sqrt(96)).\nAnswer: -12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k + 41. Let o be g(-7). Let w = -18 - o. Calculate the common denominator of -37\/20 and (-67)\/(-12)*(-15)\/w - -3.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230307\/2314 > -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**3\/3 + 4*s. Let j be d(-1). Let v be 1\/((-1)\/(-22 - j)). Solve z - v = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -5*p**3\/6 + p. Let m(h) = 46*h + 6. Let a(b) = -85*b - 11. Let x(k) = 6*a(k) + 11*m(k). What is x(o(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-117))\/(715\/(-1690))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, -1\/6, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -94355*0.1\nAnswer: -9435.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 2. Let x(k) = 18*k**2 - 2*k - 9. Calculate -3*p(n) - x(n).\nAnswer: -15*n**2 + 2*n + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 2044055?\nAnswer: 2044054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2171313ml to litres.\nAnswer: 0.0002171313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 - 191b0?\nAnswer: -191d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**6\/120 + d**5\/12 + 5*d**3\/6 - 4*d**2. Let x be k(5). Solve 5*z - 14 = 2*t, -x*t - 3*z - 4 = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761300140 to the power of 1\/2, to the nearest integer?\nAnswer: 41968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by -96?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + 20 - 20)*(-2*a**2 - 2*a**2 + 5*a**2) - 22*a**3 - 25*a**3 + 9*a**3)*(-4*a - a + 3*a).\nAnswer: 78*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*a**3*o - 3*a**3 + 7109*a**2*o + 9229*a**2 + o wrt o.\nAnswer: 14*a**3 + 7109*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 26*k - 24 = 0. Solve 4*d = -3*h + k, -d - d + 3*h - 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 3 in decreasing order.\nAnswer: 3, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a day in seconds?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*o + 17, -o + 2*o = h - 11. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25205312.\nAnswer: 2, 11, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - a)*(-4*a - 4*a - a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464742 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -10713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.8. Let x be (18\/(-4))\/(-4 + -1 - 1). Put 0.2, x, c in decreasing order.\nAnswer: x, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/596 in 0.22, 5, -5, -0.4?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 28 = 4*i + 10, x + 3*i = 12. Solve x*v = -5*n - 40 + 12, -4*v = 4*n + 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - ((-2 + -1)\/3)\/((-59)\/(-1770)). Solve 78 = 2*z + l*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 980*v**3 - 45*v**2 - 45*v - 45. Let k(l) = -89*l**3 + 4*l**2 + 4*l + 4. Calculate -45*k(f) - 4*u(f).\nAnswer: 85*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 9 - 11. Let r = -1 - h. Suppose 0*i + r*i - 20 = 0. Solve -4*v + i*v + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/72 and -19\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 775, 1677, 2591, 3523, 4479, 5465?\nAnswer: 6487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxqxf. What is prob of picking 1 q, 1 x, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1, 1, -4 in descending order.\nAnswer: 72, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184864?\nAnswer: 2, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/132*(-2358)\/393.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100100110010001 + -10100?\nAnswer: 1100100100101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 8 + 23, -2*w = -4*k - 34. Sort 3, k, -4, 11 in ascending order.\nAnswer: k, -4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864486057?\nAnswer: 7, 71, 3751481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - q + 5 + (22 + 3*q - 22)*(-3 + 0 + 0).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -85, 36 in ascending order.\nAnswer: -85, -9, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 0*n + 1303*n**3 - n - 1046*n**3 as x*n + q + g*n**3 + a*n**2 and give g.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 61950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145088263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 265 or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.88153um to nanometers.\nAnswer: 76881.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (420\/(-56))\/(6\/(-512)). Let j = -637 + v. Solve j*i - 3 = c - 9, -c = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 24 + 2)*(-2*z + 0*z + z).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 28, 31, 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 129, -1 in decreasing order.\nAnswer: 129, 15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (56 - 0) + -1 - (-11 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54591, 54592, 54593?\nAnswer: 54594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29803, 0 in decreasing order.\nAnswer: 29803, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -3*u - c + 67, 5*c = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 4, a: 2, c: 5}. What is prob of sequence ii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 11:35 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*h + 28*h - 10782. Let i = -590 - h. Suppose -46 = 2*m - 4*m. Calculate the remainder when m is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228, 1230, 1234, 1240?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + p - 12, -2*p + 3 = -12*n + 11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j**2\/2 - 9*j + 11. Calculate m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.9\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k - 3\/2*k**3 + 0*k**4 - 1\/8*k**6 - 3*k**2 + 0 + 0*k**5. Differentiate d(b) wrt b.\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1173171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-240)\/(-100))\/(13\/10 - 1). Suppose m*p - 625 = 23. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, -60 in descending order.\nAnswer: 5, -1, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjwr when four letters picked without replacement from jdwdrdrrwxwww.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -1.15. Let b = -13.05 + q. Is 2\/5 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -66*y + 269. Is c(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 4*z**4 - 36*z**3 + 36*z**2.\nAnswer: 4*z**2*(z - 3)*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1290 = -29*v + 16370. What is the highest common divisor of 130 and v?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 7 + 6*q - 2*q)*((-1 + 18 + 21)*(2*q + q - 2*q) + 5 - 5 - q).\nAnswer: 74*q**2 - 259*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30 + -24 - ((-994)\/24)\/(-7). Let i(s) be the second derivative of 1\/12*s**4 + f*s**3 + 1\/40*s**5 + 0 - 12*s + 0*s**2. Factor i(w).\nAnswer: w*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86714?\nAnswer: 2, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/2 + (-3)\/2. Let k be (l - 1 - -2) + 1. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:37 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2 and -77\/2482.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 9. Let a be w(-7). Suppose 3 + a = 2*m. Suppose m*b = -b + 5. Solve 3*q + 11 = -b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 4. Let m be g(0). Suppose -5*i - m - 5 = 3*l, 3 = -i. Suppose 0*o + 48 = l*o. Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x**2 + 0*x)*(83 + 17*x - 83)*(4*x + 0*x - 2*x).\nAnswer: 34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 27. Let h = 1116 - 1090. Let t = r - h. Which is smaller: t or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23781, -46679, -69577, -92475, -115373, -138271?\n\"Answer: -22898*d - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1880, -1885, -1890?\n\"Answer: -5*h - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (20 - -41) + -35?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134339.\nAnswer: 134339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 16.14006nm?\nAnswer: 0.01614006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2600 and 38760?\nAnswer: 2519400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3694, -7386, -11078, -14770, -18462?\n\"Answer: -3692*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1408) - sqrt(1408)) + sqrt(1408) - sqrt(1408))\/sqrt(2).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, x: 6, b: 1}. Give prob of picking 2 z.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150289 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 4. Let v be i(-4). Let a be (-104)\/(-12) + 10\/(-15). Suppose a*f - 37 = -5. Solve -4*s + f = j + 7, -3*s - 4*j = v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -1 - (26 - 21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**2 - 25*i - 4. Let n be (25 - (-7371)\/(-297))\/(1\/(-11)). Calculate v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 76 - 76)*(0 + 4 - 3 + (-4 - 2 + 4)*(3 + 3 - 4)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 5140*d + 23*d**3 + 5138*d.\nAnswer: 34*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4562660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 + i - 7. Let h(o) = 7*o - 13. Let a be h(3). Let t be l(a). Solve 4*k - t + 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 106618627431035.\nAnswer: 106618627431035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i**2 - 272*i + 41. What is d(-14)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3 - 20*b**2 + 46*b - 28 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-30)*(1 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+288199448\nAnswer: 288199447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -437, 5, 0.11, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*d - 597 - 859 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 86983 + 12655. What are the prime factors of v?\nAnswer: 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-4 - (1 - 1)). Suppose 2*o + 4*n - 46 = 0, 2*o + 85 = 5*o + 2*n. Let x = o + h. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11108000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30274960 a multiple of 788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/98)\/((-36)\/1092*13))\/(8*1)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317 = 37*z - 95 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 35. Let v(f) = -18 - 38 - 4*f + t. Let j be v(-22). Calculate the greatest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p - 16*p + 23*p + 11*p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/57)\/(21197\/11562).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 3*j - 546 = 0. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:22 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*m = -6 + 21, r - 5*m = -25. Sort 2, r, -2, 3 in ascending order.\nAnswer: -2, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 3. Let o(d) = -10*d + 6. Let i be o(0). Let c(j) = 4*j - 3. Give i*q(t) - 5*c(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 2*s + 8*d, -1266*d + 18 = -5*s - 1263*d for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 118\/(-531) - (-4)\/(-63) - 209\/(-266). Let l = -10 - -6. Which is the nearest to p? (a) l (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (215 + 138 - 286)*(0 + 0 + i) - 5*i + 2*i - 8*i in the form a*i + x and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1808145 divided by 200905\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(1 + 75\/20) - 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76450*l**4 + 56*l**3 - 126*l**2 - l + 121421 wrt l.\nAnswer: 1834800*l + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -390129 and -390185 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.569 and -6675.\nAnswer: -6675.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28135*a*h**3*r - 2*a*h**2*r - 3*a*h**2 + 188*a*h*r + a*h - h**3*r - 2 wrt h.\nAnswer: -168810*a*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 2*g = 214091, -5*r - 17*g + 118930 = -14*g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 6*i**2 - 6*i. Let g = 61 + -59. Let k be g\/11 + 52\/(-44) + -4. What is the least common multiple of w(k) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 210 = 6*r - 4*f, -4*r - 5*f + 279 = 0. Calculate the remainder when 1382 is divided by r.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2851*y**4 - y**2 + 147*y + 1 wrt y?\nAnswer: 68424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2312 and 176968?\nAnswer: 51143752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 201317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)*(-4)\/2. Is ((-118)\/3)\/(c\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0*g**2 + 0*g**3 + 0 - 1\/4*g**4 - 3*g. Let v(j) = j**2. What is v(t(l))?\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5 - -11) + -3)\/((-3)\/(-4)). Solve -2 = -3*h - 2*b + 4*b, 6 = -h + k*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 - 170*k**3 + 1800*k**2 - 4320*k - 17280 = 0?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 35*r - 11. Let u be o(-5). Let g = -964\/5 - u. Let s = 1332 + -9358\/7. Find the common denominator of s and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*w + 49 = -45, -2*w + 8 = 0. Let n(m) = m**3 + 41. Let u be n(0). Is u <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 + (-12 - (10 + -21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*x + 48*x - 3*w = -3, x - 2*w = 1. Is x greater than or equal to 73\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 8:38 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 603579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 105. Let z be 4\/(-1) - (2 - 6). Let a be d(z). Let s be (a\/(-12))\/((-7)\/(-28)). What is the highest common divisor of s and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2344\/(-20))\/(8 - 42\/5) is divided by 57.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 4*r + 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s - 3. Let m(w) = -7*w**3 - 16*w**2 + 14*w - 7. Let x be m(-3). What is d(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 730 = g, 2*g - 1346 + 131 = -5*i. Suppose 3*x - 10 = i. Suppose -3*k - x = -274. Does 41 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/35 and -17\/410?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 - 469\/2. Sort -1, l, 33 in ascending order.\nAnswer: -1, l, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 1:44 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90020.88nm to kilometers.\nAnswer: 0.00000009002088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10998524*q**5 - 112*q**2 + 442*q + 4.\nAnswer: -659911440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 8*k**2 + 14*k - 11. Let u = 3 - 0. Let l(z) = -z**3 + z + 3*z**2 - 4 + u*z + z. Determine 3*f(y) - 8*l(y).\nAnswer: 2*y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.68055 - 0.5\nAnswer: -1.18055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - ((4 - 41) + 8 + 9 + -8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o - 585 + 14*o + 12*o.\nAnswer: 37*o - 585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 284 - 276 - (24 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b**2 - 52*b - 71. Let u(d) = -4*d**2 - 18*d - 22. Let w(i) = -2*k(i) + 7*u(i). Suppose w(f) = 0. Calculate f.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25945153, 25945155, 25945157, 25945159, 25945161?\nAnswer: 25945163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:11 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 307, 301, 293, 283, 271?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/635?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142.89 - 2.89. Let u = z - 147.15. Let y = -7.2 - u. What is y rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {j: 12, k: 4, w: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-30)*-1*30. Let o = -25 + 62. Let h = o + d. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368 by -368.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48312 and 2068?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-119)\/7)\/68?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 755029187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01066 - -35.\nAnswer: 35.01066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 13. Let o(w) = 6*w - 3*w - 6*w - 1. Let h be o(3). Let a be u(h). Solve -f + 0*f - a = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -113 + 9. Let z(r) = -r**2 + 3*r + 1. Give z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bcac (base 13) to base 11.\nAnswer: -18873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6312639927445 and 192.\nAnswer: 192.6312639927445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6544948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let o = 1772 - 1046. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 2, -2\/5, -60.06?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4183 - 110.1017. What is m rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 175 = 39*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9))**(-3\/34)*m**0\/(m*m\/(m*m*m**(-2)))*((((m\/(m**(-4\/7)*m))\/m)\/m)**(-39))**(-23) assuming m is positive.\nAnswer: m**(-458191\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4*i**2 - 6*i + 7. Let h be l(2). Suppose 3*v - 3*b - 468 = 0, -h*b + 2*b = -4*v + 609. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 b when four letters picked without replacement from bbbgbtbbbgibibbb?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m - 16. Let c be p(3). Let t = c - 14. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146744366 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 2*s - 3*s**3 + 0*s**3 + (0*s + 2*s**2 + 0*s)*(2*s - 4*s + 0*s) + s**3 + 2*s**3 - 6*s**3 - 5570*s**2 - 313*s**3 + 5570*s**2.\nAnswer: -319*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*n + 8 = 0, -o + 0 = -4*n + 6. Let w = -2.3 + 5.6. Let h = w - 0.3. Which is the closest to o? (a) -4 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.10706? (a) -15\/11 (b) 2 (c) 0.4 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -434 - 583. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278304 or -277878?\nAnswer: -278304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.002254 + 0.012254. Let z = -0.08 + -0.12. Which is the smallest value? (a) z (b) 0.5 (c) -2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, and 1 h when three letters picked without replacement from {c: 1, d: 3, k: 3, n: 5, m: 1, h: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + b. Let s(z) = 2*z**2 - 10*z + 13. Let c be s(3). Let v be a(c). Suppose 2*h - 4*x - 80 = 0, -3*h - v*x = -0*h - 130. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.14758 - -2.7473. Let j = -2.46 - 0.94. Let k = m - j. What is k rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**5 - b**3 + 3. Let i(p) = 8*p**5 - 3*p**3 - 82*p**2 + 9. Let g(m) = 3*a(m) - i(m). What is the third derivative of g(y) wrt y?\nAnswer: -660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + n**2 + n. Let k be b(-1). Let r be 1\/(k\/(-39) - 0). Suppose 42 = 2*c + v - 4, -2*v = -c + r. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*18\/(-42) + (-25)\/(-10) + -5. Let z(u) be the first derivative of -14*u + c*u**4 - 29 + 0*u**3 + 0*u**2. What is the derivative of z(v) wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 22*g - 2. Give v(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -11*c + 49. What is the smallest common multiple of 8 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -22. Let r(m) = -15*m. Let p(y) = -30*y. Let n(o) = i*p(o) - 5*r(o). Let a(b) = 2*b. Give n(a(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1076837 or -1076645?\nAnswer: -1076645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 2. Suppose -17 + 5 = -2*n. Let i be z(n). Suppose -5*j + 0*j - 30 = -4*o, 4*j - 12 = -i*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 33*p - 44*p. Let v(n) = -n**2 - 22*n + 31. What is the remainder when v(-23) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/3 - h**2 + h - 1. Let t(q) = 2*q**2 - 12*q + 5. Let r(x) = -i(x) + t(x). Give r(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/81290 and 37\/3023988.\nAnswer: 15119940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 626535091 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4217 is divided by 1400.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239.13 + -16.93. Let n = -222 + x. Which is the second smallest value? (a) -8 (b) n (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -162859, -157519, -152179?\n\"Answer: 5340*s - 168199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = 37. Let a be (4\/(-5))\/(h\/(-30)). Let f be 4\/(-6)*(-6)\/a. Solve -4*b - 2*q - 7 = -q, q - f = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2 + 72 + -215 + 227).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14559?\nAnswer: 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-8))\/4)\/(3\/(-3))*-10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 66 + 27 = 0. Let d = t + -38. Suppose d = 2*p - 3. Solve w - 3*v = -p, 5*w - w + v = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:18 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/12 - n**3\/6 - n**2\/2 + 434*n. Calculate d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*12990.\nAnswer: 64950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12284\/39 + 315. Is p greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 9.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 230435.\nAnswer: 230434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + z = 5*a - 27, -2*a - 5*z = 3. Suppose 4*i + 3 = -5*q - 13, i = 5*q + 21. Put 0, i, 5, a in increasing order.\nAnswer: 0, i, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-9))\/((c*c**(1\/3)*c)\/c) assuming c is positive.\nAnswer: c**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -5 (c) 5\/4 (d) -1\/2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -57, -67, -79, -93, -109?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d + 960 = 111*d. Calculate the remainder when d is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-29))\/((25 - 12) + -14).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**2 + w - 6. Calculate f(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/6))\/(g*g**(1\/4)))**(3\/23) assuming g is positive.\nAnswer: g**(-5\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j + 167 = 5*s, -j = 4*s - 131. Does 137\/4 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(1152) + sqrt(1152)*2).\nAnswer: sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 - 5*u + 4. Let r be n(5). Suppose -r*c + 5*x + 52 = -0*c, c - 3*x = 6. Calculate the remainder when 3\/18 - 915\/(-18) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -15. Put u, 4, 3\/5 in decreasing order.\nAnswer: 4, 3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 12*p**3 - 3*p**3 + (-2*p + 0*p + 3*p)*(-3*p**2 + 0*p**2 + p**2).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2750, -21945, -74044, -175499, -342762, -592285, -940520, -1403919?\nAnswer: -1998934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 75 = 2*v, 296*z = -4*v + 295*z - 33 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12\/1475 + 1804\/10325. Let n = p - 1\/25. Which is the second smallest value? (a) -2\/9 (b) -0.2 (c) 0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22802.79 * -3\nAnswer: 68408.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/(-10) + 2\/(-10). Let c = 12 + z. Calculate the remainder when 13 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 16 + 34*k - 14*k - 11*k.\nAnswer: 7*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/8 and 101\/97190.\nAnswer: 388760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 55 + 40 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, and 1 p when three letters picked without replacement from {g: 2, p: 2, u: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 39 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758903955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -237533035, -475066069, -712599101, -950132131, -1187665159, -1425198185?\n\"Answer: y**2 - 237533037*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -19*l + 21. Suppose -3*c = 0, -4*u - l*c + 6 = -2*u. Solve -u = -2*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124219978 rounded to the nearest 100000?\nAnswer: -124200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/648*-302 - 2. Let v = k - 4\/27. Let f = 25938 - 25915. What is the second biggest value in f, v, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -292*f**3 + 7*f**2 - 342. Let u(h) = -240 - 72 - 28 + 6*h**2 - 293*h**3. Let j(n) = 6*i(n) - 7*u(n). What is the first derivative of j(t) wrt t?\nAnswer: 897*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7546 minus -7.14?\nAnswer: 7553.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*-2 + 3. Let l(x) = -2*x + 13*x**2 + 4*x - h - 11*x**2. Does 2 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 226, 0, -7.\nAnswer: -10, -7, -5, 0, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1\/4*g**4 - g - g**3 + 56 - 3\/2*g**2. Give d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*b*f*g**2 - 298*b*f*g*z - 3*b*f*z - 59*b*g**2*z + b*g**2 + 4*b*g - 3*f*g**2 wrt g.\nAnswer: 230*b*f - 118*b*z + 2*b - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 3\/2*d**2 + 1\/12*d**4 + 0*d**3 + 0*d + 7. Let r(m) be the second derivative of a(m). Let w(o) = -15*o. Determine r(w(c)).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 50 = -15*u. Factor -68 + 0*w**u - 7 + 30*w - 3*w**2.\nAnswer: -3*(w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2) - (102\/4)\/(-17)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 48 + 0 = 0. Let j(m) = -m - 8. Let a(l) = -l - 9. Let v(i) = -6*a(i) + 5*j(i). What is the lowest common multiple of w and v(0)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60\/13 (b) 5 (c) -150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -4ba?\nAnswer: -4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 715 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 516215803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2303 (base 4) to base 7.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 + 1255*x**2 - 52*x. Let g(q) = 2*q**3 - 419*q**2 + 19*q. What is 3*c(n) + 8*g(n)?\nAnswer: n**3 + 413*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -164 (b) -4\/3 (c) 0.1 (d) -1\/7 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10497495.\nAnswer: 3, 5, 739, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*t - 1. Let d = 180 + -178. Let w(q) = -3*q + 26. Calculate the least common multiple of t and w(d).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*g**5*h + 26896*g**5 + 128*g**2*h + 2853*g*h wrt g.\nAnswer: -1620*g**2*h + 1613760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2169 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j**2. Let i be s(-1). Let q = 22 + i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1553.283 months to centuries.\nAnswer: 1.2944025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Solve 2*r = -5*y - 19, -r = -0*r - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/4)\/3*(-2)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, 1 x, and 1 j when four letters picked without replacement from {x: 1, j: 4, z: 4, u: 3, w: 2}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 8}. What is prob of picking 1 h and 1 y?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 + 1. Let f be t(0). Suppose f + 2 = 3*s. Suppose -4*q = 4*i - 6*q, -20 = 5*q. Which is the closest to 1\/2? (a) s (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 715737*o**5 + 657139*o wrt o.\nAnswer: 14314740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -15*j**7 - j**6\/6 + j**3\/3 - 4*j + 1331. What is the third derivative of f(c) wrt c?\nAnswer: -12600*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = -311*b + 305*b - 2*a, -2*b + 90 = -3*a for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 8*d**2 + 2 + 3*d - 7*d**2. Let g(z) = -z**2 - 2*z - 2. Give 4*g(n) + 3*l(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -71. Let h be (-205)\/g + (-6)\/2. Let o = -23 + 22. Which is the closest to o? (a) h (b) -4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 11*g - 28. Let p be c(7). Suppose p = 8*i - 4 + 20. Let j(w) = -w**3 - w**2 + w + 2. Calculate j(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03809086171 to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-14)\/10*(-1044)\/(-2842) - (0 - -2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*o - 86*o + 22. Which is the biggest value? (a) -1\/4 (b) 3 (c) -3 (d) 2\/7 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134682592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(171) - (sqrt(171) + 5 + 1 + sqrt(171)))*-6)**2 + 0)*-4 + -2.\nAnswer: -119234 - 20736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 3*b + 3, b - 9 = -u. Suppose -3*m + 37 = 70. Let s = u - m. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -23, -20, -19, -20, -23, -28?\n\"Answer: -q**2 + 8*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -45.72. Let m = -2.72 + r. Which is the closest to 0.1? (a) m (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15419567.\nAnswer: 41, 71, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, u: 2}. What is prob of picking 2 k?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -7\/1148712?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -19 + (14 - (7 - 6)) + 13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14331 - -2010220?\nAnswer: 2030101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + a - 1. Let z be (-4)\/6*(-9)\/6. Let k be r(z). Let s be 14\/7 + 0\/k. Solve w + 7 = s*q - 6, -w + 11 = 4*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/24)\/((44\/12)\/(30\/20))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750300 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312304 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 + 3*b - 4. Let p = 727 - 730. Determine d(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u + 0 + 42*u + 2.\nAnswer: 69*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1598, -11471, -46924, -115951, -229742, -399487?\nAnswer: -636376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421a0 (base 12) in base 11?\nAnswer: 5a126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*w - 119 = 112*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 4. Let f = z - -2. Let t = 21.41 + -16.41. Which is the closest to 1\/2? (a) 1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238491 is divided by 3238467?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 19*o**5\/60 + 13*o**3\/6 + 4*o**2. Find the first derivative of u(m) wrt m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8) - -2)\/((2010\/(-603))\/(8\/(-3))).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-35)\/7 - 5386)\/((-3)\/2)?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22299274.\nAnswer: 2, 17, 19, 34519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 136, 205?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = l - 2, -4*u - 4 - 4 = 0. Suppose -l*o + o = -285. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 438*x**5 + 211*x**5 - 21*x**5 + 245*x**5 - 168*x**5 - 2*x**5 + x**5 + 3*x**5 + (2*x**4 + 3*x**4 - 4*x**4)*(-3*x + 4*x - 2*x).\nAnswer: 706*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13098*i**2*l*p**2 - 2*i**2*l + 3467*i*l*p - 2*i*l + 12*l*p**2 - 21*l*p + 7*l + p wrt p?\nAnswer: 26196*i**2*l + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*r + 19*r**3 + 391*r - 34*r**3 + 21*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 14*i - 255093 + 510194 - 255101. Let a(b) = -b. Determine a(y(z)).\nAnswer: -5*z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*y - 14*y. Suppose 37 = z + 2*t, -6*z - 4*t - 115 = -y*z. Calculate the smallest common multiple of z and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose c - 3*q = 6, -3*c + 24 = -0*q - p*q. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 334*y**2 - 145*y**2 - y - y in the form k*y**2 + n*y + z and give k.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 - 9) + (-23 - -2). Let l be (-620)\/28 + (-2)\/o. Which is bigger: -27 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987796421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190007, 190025, 190065, 190139, 190259?\nAnswer: 190437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8474 + 25097. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/(-360) - 2*(3289701\/(-48) + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + -6*(3*(3 + sqrt(1216)) - (sqrt(1216) + sqrt(1216) + (-5 + sqrt(1216))*3))*-5)**2.\nAnswer: -685440*sqrt(19) + 4887396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 4, x: 7, v: 5}. Give prob of sequence tvvv.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19662 or -19663?\nAnswer: -19662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25740.664 + 25654. What is m rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.527 - 179.483. Let r = t - -180. Let s = r + 0.01. Which is the nearest to -0.1? (a) s (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 826 = -0*v + m, 5*m - 286 = -v. What is the greatest common factor of v and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2092 and 20?\nAnswer: 10460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*(-126)\/(-35). Is -8 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4208, 17068, 38494, 68480, 107020, 154108?\nAnswer: 209738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s*s\/((s\/(s*(s*s*((s*s**6)\/s*s*s)\/s*s)\/s))\/s))*s*s**13 assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 16*a + 38. Let i be p(12). Let q be (6 - 1)*(-10)\/i. Suppose -q*c + 42 = 2*c. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221002 + 12?\nAnswer: -220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 + 22*t**2 + 21*t - 17. Let b(w) = -6*w**3 + 23*w**2 + 22*w - 17. Let h(r) = -4*b(r) + 5*p(r). Is h(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/7 in 3, 4\/3, 5, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*o - 153 = 157*o. Let y(i) = i**3 - 16*i**2 - 15*i - 31. Calculate y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose 6 = d*v - 10. Let z(c) = -c + 2. Let j(h) = -3. Let a(f) = 1. Let w(y) = 11*a(y) + 4*j(y). Determine v*w(g) + 2*z(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 377*d**7\/105 - 87*d**4\/4 - 503*d**2. Find the second derivative of s(k) wrt k.\nAnswer: 9048*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*d - 4*i, 0 = -d - 0*i - i. Sort d, -2, 1.\nAnswer: d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -867 divided by 3\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = -1. Let s be (-108)\/(-189) - 426\/(-14). Suppose -r = -p - 31, -r - 5*p + s = -y*p. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 8\/26981877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 49, -5 in decreasing order.\nAnswer: 49, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*j - 140*j + 14423 - 38359 = -72*j for j.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34848)\/9680)\/((-6)\/(-20)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 19*k + 22. What is w(-8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*f + 2*f + 6, 4*z - 2*f = 0. Let t(y) = -y**3 - y**2 - y + 1. Let c(w) = -6*w**3 - w**2 + 14*w - 9. Let s(v) = z*c(v) + t(v). Factor s(j).\nAnswer: 5*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 213, 404, 607, 822, 1049, 1288, 1539?\n\"Answer: 6*n**2 + 173*n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (7 + (7 - 5) + -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*y + y = -1281, -2*v = -4*y + 884. Is 24 a factor of (28\/12 - 1)\/((-2)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/55, -23\/6, 12, 74?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = 3*m, -2*m + 15 - 24 = -j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 - 1\/4*p**4 + 0*p + 0*p**3 + 1\/2*p**2.\nAnswer: -(p - 1)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {r: 2, l: 12, q: 2, v: 1, w: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43991 + -43995. Let j(b) be the first derivative of -b**2\/2 - 6*b - 1. Let q be j(-4). Put -5, 3, o, q in ascending order.\nAnswer: -5, o, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 41*b + 35. Let u = 3707 - 3728. Give l(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*v + 26, -3*h - 2*v = -2*h + 16. Let l be 120\/65 - h\/39. Suppose 0*y - 68 = -l*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 18*w**2 + 134*w + 798. Give x(-5).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 18. Let h be t(-11). Let k = -3 + h. Let g(r) = 159*r - 636. Let u be g(4). Sort k, u, -4, -5 in increasing order.\nAnswer: -5, -4, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -46. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91 - 91 + 40*a - 135*a + (2*a - 1 + 1)*(-2 - 1 + 2) + 0*a + a - 2*a.\nAnswer: -98*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*n*p**2 + 320091*n*p - n + 35674*p**2 wrt p.\nAnswer: 32*n + 71348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 27 - 15 = 0. What is the least common multiple of j and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 1815299.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1874*x - 1872*x = 3056. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4570*s**2 + 214800*s - 256. What is r(47)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24*x - 57. Let m(g) = 23*g - 57. Let o(s) = -3*d(s) + 4*m(s). Does 6 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1494, 5, -3, -268, -4 in increasing order.\nAnswer: -268, -4, -3, 5, 1494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + (5 - 1))*1. Suppose 14*m - 22*m + 16 = x. Solve 8 = -4*y, -y = -c - m*y - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.03302777 rounded to 4 dps?\nAnswer: -5.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/9 + 33074*l\/9 + 4836524\/3 = 0.\nAnswer: -16086, -451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/7 - 26*u\/7 - 12 = 0. What is u?\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.007 from 69.7.\nAnswer: 48.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 7. Let r be x(5). Let i be (-6)\/7*(-1)\/r. Let g = 2\/303 + 200\/303. Which is the third biggest value? (a) -2\/11 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1674)\/9 - 8\/2. Let c = -112 - w. Calculate the remainder when c is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -468826, -468717, -468608, -468499?\n\"Answer: 109*t - 468935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568 and 781.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:42 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6362254*o**3*t - 5*o**2*t + 2*o**2 - 7*o*t - t - 35841 wrt o?\nAnswer: 38173524*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 99, 85, 69, 51, 31, 9, -15?\n\"Answer: -q**2 - 11*q + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.3 (b) 44 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/5 and (-2)\/6 + (-58)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {i: 5, v: 5, m: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/2)\/(1 - 825\/830). Suppose -5*p + d + 0*d = -w, 165 = p + 5*d. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 321934735 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 5 - 5316*i + 1.\nAnswer: -5316*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -40*a. Let o(z) be the first derivative of z**2 - 51. Determine d(o(s)).\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 2, b: 1}. What is prob of sequence eb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -46, -186, -398, -682, -1038?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 3*i. Suppose -h + i*h = 287. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16255572?\nAnswer: 2, 3, 23, 58897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 + (-18)\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + x**3 - 3*x**3)*(-1 - 1 + 4 + (-1 - 2 + 0)*(-1 - 3 + 1))*(-1 + 3 + 1).\nAnswer: 66*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = m + 3522001, 0 = -3*p - 18*m + 23*m - 3521995. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5*v - 17, -4*n + 5*v - 5 = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3095 - 3068. What is the smallest common multiple of z and 516?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 3*a. Suppose 2*m - 4 = 3*m. Let r be m\/6 - 3\/9. Let p(k) = k**2 - k. Calculate r*w(o) + 3*p(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2829 is divided by 704?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 872*x + 6006.\nAnswer: 2*(x + 7)*(x + 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 242?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1610*a = 1607*a + 249. Suppose -221 = -3*s + 2*o, -2*o - a = -s - 6*o. Calculate the remainder when s is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*i + 5*i. Let u(f) = -f**3 + 7*f**2 - 5*f + 5. What is the remainder when 31 is divided by u(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 250*k**2 - 3080*k + 190. Calculate y(-237).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 40*t**2 - 2*t + 4223. Is r(60) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 13) to base 11.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202 + -101?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -496, -582, -1.\nAnswer: -582, -496, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 13 - 17. Let l(j) = -j**2 - 11*j - 5. Let s be l(y). Suppose 110 + 40 = s*u. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, x: 7}. Give prob of picking 1 x and 1 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-1)**2 - sqrt(13)) + 5*(1 + sqrt(13)).\nAnswer: 4*sqrt(13) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*o - 201*o - 2518*o**2 + 307*o in the form g*o + k + y*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -818 - -4951?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/6*43\/(1204\/24). Suppose 3*v = 4*v - 115. Suppose -4*n = h*u - 450, -4*n - 2*u = -5*n + v. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000042108 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 0 - (-107 - -81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27880 is divided by 377.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, c: 5}. Give prob of picking 1 g and 3 c.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 16. What is z(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1128 by 282.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-60))\/((-897)\/(-52) + -17).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4632 * -0.68.\nAnswer: 3149.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v + 117 - 21 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22087*v + 22087*v - 2029*v**3 - 2228*v**3.\nAnswer: -4257*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89553 - 143838.\nAnswer: -233391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11013 - -112302333?\nAnswer: 112320012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4487\/1924 + -132\/481. Let s = z - 30\/13. Which is the second biggest value? (a) 4 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35290 + -12641. Is 71 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193480 and 28456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 1662 - 606 = -131*y. Solve -3*j + x - 14 = 0, 3*j + 5*x + y = 7*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313001 + -3121?\nAnswer: -320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*r - 0*r. Let u be 102\/(-27) + r\/(-18). Let n be (-2)\/(-8)*(31 + -12 - 15). Sort n, -1, u in increasing order.\nAnswer: u, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/5 - 2\/5. Suppose 2*y + v*y - 44 = 0. Solve 4*h + y - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + (-59 + 70 - (11 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1855*(0 - 1) - (18 + -17) is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 29 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q + 1. Let a be l(1). Calculate the common denominator of 87\/2 and 13*(3 + 28\/a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmvaavavv. What is prob of picking 3 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -53.8?\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9252323 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6*w + 3*w = -10, 8 = 4*i - 4*w. Suppose -3 = -c + i. Let v = 47 + -20. Solve -4*d - 6*l + v = -l, 0 = -d + c*l - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:32 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -426 divided by -236\nAnswer: 213\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((-4)\/(-6) - 8\/(-24))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 79 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 14, 4, -7.\nAnswer: -7, -1, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004572401 rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 52*s**2 - 514*s - 34. What is the remainder when 17040 is divided by a(-13)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5244)\/(-133) + -33)\/(3\/21) + -8. Let m be -1 - (-1)\/(0 + 1). Solve -4*o + 7*z - 2*z - 5 = m, 4*z = -5*o - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 9.3. Suppose 40 = -52*v + 57*v. Let x = -26\/3 + v. Does x = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 5 + 65)*(-2*b - b + b + (0 - 1 + 3)*(-5*b + 2*b + 2*b) + 0*b + b - 3*b).\nAnswer: -828*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 15) to base 3.\nAnswer: 101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -0.3, 0.5, 0 in descending order.\nAnswer: 0.5, 0, -0.3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*l - 15 = o, -12 = -3*l. Suppose 15 = o*g + 5. Solve 0 = g*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 9:54 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + 1*sqrt(832))**2*-6 + 2.\nAnswer: -5140 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 1, e: 6, m: 2, s: 2, r: 3}. What is prob of sequence mves?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200000241 + 105?\nAnswer: -200000133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 4\/5, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1544 and 57\/122.\nAnswer: 94184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3*v + 28 - 23 - 18 as h*v + x and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(11)) + sqrt(99)*5 - (-5*sqrt(44)\/sqrt(4) + 5).\nAnswer: -4 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-494 - 36*o + 494)*(2*o**2 + 0 + 0 + (-3 + 2*o + 3)*(5 + 2*o - 5)).\nAnswer: -216*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 - 30*u - 25. Suppose j + 27 = -3*w, -8*w + 9*w = -j - 15. What is k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.99 * -47793.\nAnswer: -2723723.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5946 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 4*t)*(17 + 28 - 27)*(3*t + 2*t - 3*t) + 4*t**2 - t**2 - 4*t**2.\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6660787 and 8785.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/9 - 11*j**4\/9 - 7*j**3\/9 + 35*j**2\/9 + 52*j\/9 + 20\/9.\nAnswer: -(j - 2)*(j + 1)**3*(j + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1650600 and -31\/137550.\nAnswer: 1650600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -1*(-1)\/(-1). Let u(o) = 2*o**2 - 2*o**2 - r*o**2. Let p(g) = 2931*g + 2884*g + 4*g**2 - 5815*g. Determine u(p(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -14. Suppose 0 = -s*b + 5*b + 30. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1695, 1697, 1701, 1707?\n\"Answer: n**2 - n + 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5411 is divided by 271?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/913 in 0.05, 4, -3\/8, 16\/7, -2\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:26 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/2418)\/((-2)\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5591760?\nAnswer: 2, 3, 5, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 2*h)*(-h**3 + 2*h - h**3 + h).\nAnswer: -6*h**4 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 79.\nAnswer: 39\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -208, -381, -866, -1825, -3420, -5813?\n\"Answer: -27*b**3 + 6*b**2 - 2*b - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29\/9 + (-2)\/9. Solve -x = i*r - 11, -3*r + 9 = -x + 4*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(-3*g**5 + 3*g**5 - g**5) - 103*g - 5*g**5 + 103*g + 4*g**5 - 4*g**5 - g**5.\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.69 + -47. Let q = a - 0.69. Let p be (-6)\/4*4\/(-60)*2. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -167*j + 158*j. Suppose 0 = 2*a - 0*g - g - 186, -372 = -4*a - 5*g. What is the remainder when a is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:37 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -99 + 220 - 72 - 87 - a + a**3 + a**2. Determine l(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 234, -2, -2\/7, 2\/11?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 14 = -5*r - 7, 2*i + 12 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1911, 6673, 14605, 25701, 39955?\nAnswer: 57361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 51*l - 330 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*a = 201 + 925, 3*o - 857 = 4*a. Solve -o*l - 49 = -290*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 16.0364. What is y rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 3*x**2 + 3*x - 4. Let i be l(3). Let t(b) = -2 + 36*b + 4*b - 11*b + 30*b. Is t(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 282262968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 41, -0.0644?\nAnswer: -0.0644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -52. Calculate the smallest common multiple of j and ((-8)\/5)\/((-1)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6242 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/13)*(w\/w**(2\/37))\/w*w*(w\/(w\/(w**(-1\/6)*w)))\/(w**(-16)\/w) assuming w is positive.\nAnswer: w**(54863\/2886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8 and -55\/488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/3)*(g\/(g*g*g\/((g*g**(2\/11))\/g)*g))\/g*(g*g**0)\/(g**3\/g) assuming g is positive.\nAnswer: g**(-115\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 255*j**2 + 509473 - 509473 + (5*j + 0*j - 3*j)*(4 - 4 + j) as a*j**2 + t + p*j and give a.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (24 - 40) - -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29034 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78246208599*d - 7*d**3 - 78246208599*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 213*i\/2 + 1881.\nAnswer: 3*(i - 38)*(i - 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + d + 699. Determine r(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -4, 0.14963?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvkkkbbvvbkv. What is prob of picking 1 v and 2 b?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/26 - (378\/12)\/(-7)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 289 + 3*a - 302)*(-a + 4*a + a)*((3 - 4 + 0)*(-4*a - 2*a + 5*a) - 141*a - 93*a + 186*a) to the form l*a**3 + p*a + m*a**2 + f and give l.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3047*k*y**3 + 17*y**3 - 6 wrt k?\nAnswer: 3047*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33092029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2)\/((-6)\/(-57)). Let v be 2\/(-9) - (-764)\/d. Let y = 43 + v. Which is the closest to y? (a) -1\/4 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 34. Let z be -4 + 3 + 87 + l. Suppose -2*r = 0, r + r - z = -4*v. Calculate the remainder when 62 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:29 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211211 (base 3) to base 14.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.704 + 38?\nAnswer: 224.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*p - 4*s, 4*p + 20*s - 4 = 24*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 276.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329 + -315. Suppose -11 = -x + 29. What is the remainder when x is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 515 - 1721 = 0. Let q = j - 30. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59100 by -10.\nAnswer: 5910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**5*w**2 + 56*c**4*w + 59*c*w**2 + 3*c*w wrt c.\nAnswer: -220*c**3*w**2 + 672*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155298075?\nAnswer: 3, 5, 2070641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 55. Let o = v + 54. Let b = 500 + -999\/2. Put o, -0.5, b in descending order.\nAnswer: o, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 + 4 = 0. Let l be (3\/(d\/(-2)))\/(-1). Suppose -4*p + 7*z + 121 = 2*z, -5*p + l*z = -147. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -644, -645, -646, -647, -648, -649?\n\"Answer: -i - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 934*n - 19047 + 19047 to the form d*n + a and give d.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*h + 58 = 15, -3*u = -h - 38. Suppose -u = -2*x - 4*z + 15, -2*z = 3*x - 23. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2920 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 - 137. Suppose -5*j = -a*c + 20144, 3*c - 4*j = -3*j + 15119. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157365478?\nAnswer: 2, 78682739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 + d**4\/4 + 2*d**3\/3 + 10*d**2. Give m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 76.1. Which is the second smallest value? (a) o (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 12, -6, -38, -90, -168, -278, -426?\n\"Answer: -w**3 + 2*w**2 - 9*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.5. Suppose 12 = -4*x - p, 2*p = 4*x - 71 + 83. What is the closest to 1 in a, x, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 22499746*t. Let p(a) = -8*a**2. Calculate p(s(y)).\nAnswer: -4049908560516128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:18 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:43 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 175049242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 1238.\nAnswer: 33426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (-68)\/(-24))\/(-1)*4. Suppose 0 = a + 1 - 3. Is i < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 1558110.\nAnswer: 10906770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 301. What is the smallest common multiple of 42 and c?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*x**4 + 64228*x**2 + 595*x + 6263 wrt x?\nAnswer: -156*x**2 + 128456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1141\/4 or -284?\nAnswer: -1141\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 426326793 divided by -116197?\nAnswer: -3669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d**2. Let q(r) = -r + 1. Calculate q(n(u)).\nAnswer: -12*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*n**3 + 2065*n + 2063*n - n**4 - 6185*n + 2075*n to r*n**2 + b*n**4 + h*n**3 + s + w*n and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(68)*1 + sqrt(68) - ((sqrt(68)*-2 - sqrt(68)) + sqrt(68))*2)\/(sqrt(64)*5 + sqrt(16)*1))**2 + 4.\nAnswer: 2089\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 15*r**2 - 3*r + r + 9*r.\nAnswer: -15*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1105 - 121 = 0. What is the remainder when l is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1517*f**3 - 6*f**2 + 15*f - 39. Is t(4) 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 11 and 29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6282, 3, -0.09 in increasing order.\nAnswer: -6282, -0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:45 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25 - -27)*((-2)\/2 + 11). What is the highest common factor of 140 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + (-7)\/(-22). Let a be (-1 - 6\/(-5)) + (-5617)\/685. Let x be ((1 + -8)\/(-14))\/((-2)\/a). Sort v, x, 0 in decreasing order.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 3 + 0*w**3 + 2*w**3 + 1 as y*w + k + j*w**2 + v*w**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*395.\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6588 and 4266?\nAnswer: 520452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 40 = -0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 22*l. Let d be 2*1\/(-2)*-3. Suppose w - 2*w = -q - 10, -5*q + 48 = 2*w. Let b(j) = w*j - d*j - 10*j. Give c(b(t)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36 - 3)\/((2 - 0)\/(-2)). Let b = 39 - y. Solve b*u - 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**3 + 5*h**2 + 49*h + 11. Let t(k) = -2*k**3 + 2*k**2 + 18*k + 4. Let w(j) = 3*s(j) - 8*t(j). Give w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 - 248. Let j be (-1 - 1) + (-104)\/4. Let y = j - p. Calculate the remainder when 51 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 48. Let k = m + 47. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0844 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5669? (a) 234 (b) -42 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - 4. Let p be 1 - -3 - 1\/((-4)\/(-20)). Calculate y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/151308 and -131\/252.\nAnswer: 1059156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 30 - 6 = 0. Suppose d*f = 2*f - 343. Let i = f - -94. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4738*g**2 - 2*g + 19 - 2*g**3 - 4738*g**2 - g as p*g**2 + l*g + o*g**3 + r and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -95675.61 rounded to the nearest ten?\nAnswer: -95680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 + 0.2. Let t = -9 - s. What is the second smallest value in 2, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941760 a multiple of 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - c**2 - 4)*(3 - 4229*c + 3162*c - 4 + 1).\nAnswer: 1067*c**3 - 1067*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81429797 is divided by 3747.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -209, -204, -199?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-3) - (-46)\/(-138). Let o = 4.6 + -0.6. Sort -1\/4, h, o, -6.\nAnswer: -6, -1\/4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:28 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let q(j) = 134*j. Determine q(p(w)).\nAnswer: -268*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33508 - 23285. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/(-2))\/(4\/(-56)). Suppose 5*b - 3*h - k = 0, -77 = -4*b + 2*b - 3*h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*z = -329 + 701 + 2778 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from ppn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 20*b**2 - 214*b - 408.\nAnswer: 2*(b - 17)*(b + 3)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 22. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1551 and 16\/2718621.\nAnswer: 29904831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 425\/(-119)*(-588)\/(-140)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -64. Let a(f) = f**2 + f + 2. Let u be a(g). Suppose 3*c = 15, 2*c - 331 = u*x + 3*c. Round x to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 8 + 5*c**2 - 37 + 13 + 35*c**3 - 3*c**2 to f*c + l*c**3 + r + m*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4822871389?\nAnswer: 7, 17, 4349, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43829452 is divided by 6261350.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 852776?\nAnswer: 2558328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1862*y - 1857*y = 20. Sort 30, 2, y.\nAnswer: 2, y, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 0. Suppose -3*l = -6 - 3, 2*a + 5*l = q. What is the second derivative of 10*t**3 + 4*t + t + a*t - 4*t**3 wrt t?\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 41 = -2*n + 3, 0 = 4*y - 4*n - 40. What is the third smallest value in y, 10, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 40*z + 9. Let v be y(-20). Suppose 4*i - 19 = -3*s, -4*s = 5*i + v - 34. Solve g = -3*h + 19, 0 = -h + s*g - g - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1405 - 1405.07. Which is the closest to -3\/5? (a) g (b) -3 (c) 0.2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14.102. Let g = 3 - 3.1. Let t = b - g. Round t to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2220345610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40984 + 83648 = -3477*n - 39107 - 90082 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 21*l = -39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqqpqpaaqqpqqqqpqa. What is prob of picking 1 q and 1 p?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/4)*(c\/(c**6*c))\/c)**17 assuming c is positive.\nAnswer: c**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2111\/(-6333)*6\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 10*x + 12. Let f be t(9). Suppose -i = -4*i. Let w = 98 - 102. Sort 2, i, f, w in increasing order.\nAnswer: w, i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 28842 = -128033. Let i = 66402 + p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.1, 0.5, 8 in descending order.\nAnswer: 8, 0.5, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -1\/4 (c) -0.2 (d) 4 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 11 + 2*x**3 - 7*x**2 - 46*x**2.\nAnswer: 2*x**3 - 60*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - 65 - (0 + -9 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 + 626 = 55*f. Suppose -6*p = -p + 105. Let j = -1 - p. Calculate the smallest common multiple of j and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60568788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*(-10)\/280)\/(9\/(1449\/(-2)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438285450 a multiple of 6161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 - 3*l**3\/2 + 7*l**2 + 9*l\/2 - 9 = 0. What is l?\nAnswer: -3, -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.1, 5\/3, -7, 2\/21, -30, -0.0348?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122682 minus -0.4?\nAnswer: 6122682.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 2*t + 1. Let y be b(1). Let v be y\/(-6)*(-10)\/(-1). Suppose -i - 3*u = 3*i - 72, 0 = v*i - u - 90. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*l - 1534 + 110 - 136 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t - 7. Suppose c + 2*c = 15. Let a be l(c). Let f = a - 11. Calculate the lowest common multiple of f and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 4*a = -3*a + 18. Let v(r) = -5*r**2 + 2*r - 1. What is v(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208449 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Which is smaller: m or -3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173082874 to the power of 1\/2, to the nearest integer?\nAnswer: 13156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/7632 and 5\/21.\nAnswer: 53424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-12) + 2\/4. Let v = 3.888 + 1.241. Let l = v - 0.129. Which is the nearest to -1? (a) h (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 5\/2*r**3 - 6*r + 6*r**2 + 2. Factor c(f).\nAnswer: 3*(f + 2)*(5*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/4)\/(24\/48).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g = 4*g - g - 616 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -0.3 (c) 29 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2 = -2*g. Let v = 4\/3 - g. Put v, 2\/5, 0 in increasing order.\nAnswer: 0, v, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281*q**3 - 446*q**3 - 773*q**3.\nAnswer: -2500*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2*t + t + 2*t) + 14 + 43*t - 14.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 977819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + o + 12, 0 = 7*j - 5*j + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.13 (c) 8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*r + 6 = -8*d, -d = -5*r + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5328 and 13 + 1056\/(-80) + 8973\/39960.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -352, -2710, -9068, -21418, -41752?\n\"Answer: -332*r**3 - 8*r**2 - 10*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:00 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 9 + 0)*(4*i**2 - 4*i**2 - 2*i**4 + (0*i**3 - i**3 + 0*i**3)*(0 - i + 0)) to the form p + a*i**2 + x*i**3 + k*i + m*i**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 343124?\nAnswer: -343213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37052 divided by -4\nAnswer: 9263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 78. Let i be o + -3 - 35\/(-5). Solve -5*m - 5*s = -30, i*s = -4*m + m + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31933*o**2 - 15963*o**2 + 21 - 21 - 15968*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127\/4 - -32. Suppose 2*c - 15 = 39. Suppose 8*i = -13 - c. Put -3\/4, q, i in increasing order.\nAnswer: i, -3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (2 - -7) - -13) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 + 3*d + 1. Let m be h(-2). Suppose 3*j - m + 1 = 0. Factor 3 - 3*p**j + p**2 + p**2 + p - 1.\nAnswer: -(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -335 - -459. What is the second derivative of -87*o**2 + 1 + 6*o**5 - 5*o**3 + z*o + 87*o**2 wrt o?\nAnswer: 120*o**3 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1947519 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0 + 0*f**4 - 13\/6*f**3 + 0*f + 1\/30*f**5 - 3*f**2. Find the first derivative of j(w) wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/34 + ((-712)\/(-17) - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216 or 2876?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26162 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*2\/(-4))\/1. Let d(a) = 1 - 2 + i - 2*a. Let t(o) = 4*o. Give d(t(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 7 = -7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101010110101111111000000?\nAnswer: 101010110101111111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 11*x**2 + 10*x + 2. Let s be d(10). Suppose 3*t + z = 6, 0*z + s*z - 11 = -5*t. Are 2\/13 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 15 - 10. Let a = -3 + u. Suppose -a*d + 447 = d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - s, -6*x + 2*x + s + 4 = 0. Which is the closest to x? (a) 5 (b) 4 (c) -0.1 (d) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226496 and 127404?\nAnswer: 2038464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -330.7 - -315. Let i = u + -5.3. Let t = 22 + i. What is the smallest value in t, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*d + 51*d - 18*d)*((0 - 1 + 3)*(0*d - d - d) - 2*d - 3*d + 3*d) to the form f*d**2 + j + o*d and give f.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 12, 0 = -3*a + 2*x + 5 - 2. Let l = 3 + a. What is the second derivative of -l*y**5 - y**5 - y + 4*y**5 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8123.\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:50 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 1, d: 1, n: 5, f: 6, q: 5}. Give prob of sequence qrzd.\nAnswer: 5\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8 - 1 + 1 - g. Is m(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/14 - 480*y**3\/7 + 129600*y**2\/7 - 2764. Factor x(z).\nAnswer: 2*z*(z - 360)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 3, y: 3}. Give prob of picking 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 41*u**6 - 4*u**3 - 43*u**2 + 4. Let a(v) = v**3 + v**2 - 1. Let y(z) = -4*a(z) - o(z). Find the third derivative of y(h) wrt h.\nAnswer: -4920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6614868*d*o**2 + 61*d*o - 31673*d wrt o.\nAnswer: -13229736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 7 = -x, 0 = x + 5*c + 11. Solve -x*w + 20 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/10*2\/5. Sort 0, t, 2 in increasing order.\nAnswer: 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/18207?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(2\/3)*a*a))\/a)\/a)\/(a\/(a**(-10\/7)\/a)))**50 assuming a is positive.\nAnswer: a**(-7450\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7373689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 19*a + 16. Give p(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158\/99 - 20\/11. Suppose 3*c = 2*y + 22, -c = -2*c + 5*y + 3. Suppose o - 1 = -c. What is the second biggest value in o, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - 2*u = -23*c + 4298843, -2*u + 2865902 = 2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x + a - 9, 2*a + 17 = 3*x. Let s = x - 1. Solve -10 = -s*y + 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 32 = 2*f. Suppose 4*p - f = p + r, -2*r + 4 = 4*p. What is the second derivative of 12*y**p - 12*y**3 - y + y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11935644?\nAnswer: 2, 3, 7, 151, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*q - 20 = 0, 9*q = 5*s + 5*q + 16. Solve 5*k - 4*g = 37, -k + s*g + 3*g + 14 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271190.\nAnswer: 2, 5, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -25 + 29, -4*k - u + 1 = 0. Suppose k - 2*i**4 + 71\/2*i**2 + 9*i + 34*i**3 = 0. What is i?\nAnswer: -1\/2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45337 plus -5?\nAnswer: 45332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.92 - -1579.08. Put -2\/3, -3\/2, -1, 1\/5, x in increasing order.\nAnswer: -3\/2, -1, -2\/3, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 300.\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 2*p. Let c(z) = 8*z**2 - 51*z - 48. Let h(f) = 6*a(f) + c(f). Is 15 a factor of h(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Suppose -12 = -s*p - v, 4*p + 10 = 3*p + 3*v. Suppose -18*d = -11*d. Solve -3*u - 4*q - 1 = d, -u + 1 = 2*q + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = 2*r, -2 = -3*r + 2*x + 1. Solve -6*o + 9 = -r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, i: 2}. What is prob of sequence ti?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6) - -5 - 4\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1044551459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - v - 12 = 0, 3*q + 2*v - 18 = -2*v. Let u be (q\/9)\/((-1)\/(-3)). Calculate the common denominator of 19\/4 and (-3)\/(-48)*(-83 - u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 15*p + 8*p + 7*p + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from fkhkfhkhkffkkwkfkffw.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:29 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/12 + 5*p**3\/6 + p**2. Let k(v) = v - 1. Let r be 4 - (0 + (-6 - -14)). What is r*k(w) - g(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.1. Let u = t + -0.5. What is the third smallest value in 4, 2\/3, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471920?\nAnswer: 2, 5, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*y**3 + 381751*y**2 - 167561749*y wrt y.\nAnswer: 978*y + 763502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 241 = 4*f, 5*f = -4*y + 3*y + 65. Calculate the remainder when y is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**3\/3 + 17*a**2\/2 + 62*a + 654. What is m(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2, -56 in increasing order.\nAnswer: -56, -2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*n = -535, -3*y - 5*n - 718 = y. Suppose -4*o + 2*p = -18, 7 = -p + 2. List the prime factors of o*(-4 - y\/6).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -70?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + 1*sqrt(88)*-1)\/(sqrt(32)\/sqrt(128)))\/(2*(sqrt(1331)*2 - sqrt(1331) - sqrt(1331)) - (sqrt(1331) - (sqrt(1331)*2 + sqrt(1331))*5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 273*q**3 - 2*q**2 + q + 2. Let r be o(1). Suppose j - r = 204. What are the prime factors of j?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - (-475 - 49\/7). Calculate the greatest common factor of 68 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1429*u + 2858. Let x be t(2). Let f(v) be the second derivative of 32*v + x + 0*v**2 - 1\/3*v**3. Let j(l) = -19*l**2. What is f(j(k))?\nAnswer: 38*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/40 + s**3\/3 + s**2. Let h(b) be the first derivative of k(b). Let t(q) = q - 3*q + 3*q. Give h(t(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30121 + 276*x + 30121 + (0 - 2 - 2)*(-3*x + x + 0*x) + 3*x - 4*x - x - 4*x + 4*x + 2*x.\nAnswer: 284*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -874.97 - -875. Let c = -45\/28 + 7\/4. Sort -2, -4, d, c.\nAnswer: -4, -2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve u - 15 = u + 3*b, -u - 183 = 12*u - 5*b for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzszzszz. What is prob of sequence zzs?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1152, 1040, 922, 798, 668, 532, 390?\n\"Answer: -3*p**2 - 103*p + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -22) + -47 + (5 - 0 - -3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/416*8\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 168*u + 12083. What is g(-72)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -536458*t + 536559*t + 5050 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h. Let n(l) be the second derivative of 1\/12*l**4 + 0*l**2 - 3\/10*l**5 - 2\/3*l**3 - 3*l + 0. What is -n(f) - 4*y(f)?\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(-3\/38)\/(k**(2\/13)*k*(k**2\/k)\/k) assuming k is positive.\nAnswer: k**(-557\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 9. Let l be v(45). Solve l*n = 28*n + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 + 157. Let h be (-4)\/(-3 + g\/15). List the prime factors of -2 + -1*h\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = -3*p + 245 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8 = -4*c, 3*c + 2*c = -h + 10. Suppose z + a - 5 = 0, -c*z + 48 - 8 = -4*a. Solve -4*t - o + 4 = 15, 0 = 2*t - 4*o + z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2626917 or 2626916?\nAnswer: 2626917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 176*m**2 - 10. Let v(i) = 444*i. Determine a(v(w)).\nAnswer: 34695936*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -354882, -354881, -354880, -354879, -354878, -354877?\n\"Answer: c - 354883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/2*j + 12*j**2 - 3\/2*j**3 + 0.\nAnswer: -3*j*(j - 5)*(j - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 1, 538 in ascending order.\nAnswer: 1, 151, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12)*15\/50.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47650867 times 38?\nAnswer: -1810732946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d + 5 + 0 - 4 - 2. Suppose 3*o + 1 = 4*b, 3 = 2*b - 3*o - 2. Determine p(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a + 319. Let q be (9\/(-8))\/(192\/2560). Determine o(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -q - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -305 (base 14) to base 4\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/60815931 and -103\/66.\nAnswer: 121631862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -176793525 divided by -1905\nAnswer: 92805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + 198. Let q = x + -272. Let k be ((-40)\/6)\/((-2)\/27). Calculate the greatest common divisor of q and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -210*f**3 + 3*f**2 - 2*f + 13. Let g(y) = 421*y**3 - 5*y**2 + 5*y - 30. Let l(a) = 2*g(a) + 5*u(a). Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.289383 to 2 dps.\nAnswer: 14.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/18 - 1) + -18*(-116)\/(-2349). Sort z, 3, 4, 5, 1 in descending order.\nAnswer: 5, 4, 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1612 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327*b*p**3*r**2 + 108*b*r + 77*b - 159940*p*r - 3*r**2 + 7*r with respect to p.\nAnswer: 981*b*p**2*r**2 - 159940*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*((-24)\/(-10))\/(1386\/(-2475))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -170 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 28*a**2 + 167*a - 60. What is r(33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m*m)\/m*m*m\/m**(-6\/7))**(-1\/24) assuming m is positive.\nAnswer: m**(-17\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 151550790 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77368812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1329*a**3\/4 + 23*a**2\/2 + 4079*a\/4 + 676.\nAnswer: -(a + 1)**2*(1329*a - 2704)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (152 - 85 - 133) + (-5 + 2 + 3 - 0)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4001 by 7.\nAnswer: 4001\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + 7.82. Let g = -8.1 + k. Let h = -1 - -1. Which is the closest to g? (a) h (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2. Let k(d) = 260*d + 3247031 - 3247031. What is k(i(u))?\nAnswer: 260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 308 = 4*r. Find the common denominator of r*3\/(-720) - 2 and -71\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 4067.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/(-94) - (1 - 0). Let v = 76651 - 76651. Do v and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 10*l - 3. Let h be u(-17). Let v = -102 + h. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 1.7, 2, -0.2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 22760 = 2*f, -2*i + 53*f + 11392 = 56*f. Calculate the greatest common factor of i and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07807806 + 0.502.\nAnswer: 0.58007806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2141088736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/15)\/c*c**(-12)*(c\/(c**5\/c))**0 assuming c is positive.\nAnswer: c**(-197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htwwwwwnwwwhwhwnh. Give prob of sequence tnwn.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 9*h**2 - 10*h + 2. Let z be l(10). Which is the nearest to z? (a) -5 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 20*a. Let j(x) = 8*x**2. Calculate j(u(v)).\nAnswer: 3200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/(-165) + (0 - 8897\/(-3)). Suppose 2*d + l = 4*r - 1520, -r = d - 1120. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40279\/630 + -17\/126. Let f = o - 64. Let l = 0.08 + -0.18. Which is the nearest to -0.2? (a) f (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (-22 - (33 + 11))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 10, -2*s + 6 = -0*s + 2*z. Suppose -3*d = 2*m - 9, -d + s - 2 = -4*m. Suppose 3*a - 94 - 38 = m. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 6.9. Let y = 62.1 + q. Let c = y - 61.00124. Round c to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 - 49678654*o**3 - 2*o**2 - 45438856.\nAnswer: -4*o**3 - 149035962*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 57793?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 469 and 63?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 582.2 - 656. What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 + -124. Let t(l) = 8*l + 1. What is the remainder when o is divided by t(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735171?\nAnswer: 3, 41, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*x**2 - 235*x**2 - 287*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -750.1452 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1042*q - 6526 + 6526 + (2 + 1 + 1)*(q - 4*q + 2*q) to the form f*q + n and give f.\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 61643309.\nAnswer: -1\/61643309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*t + z + 3, 0 = 4*t + 5*z - 36. Let o = -156 - -175. Sort o, t, -4 in descending order.\nAnswer: o, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc844 + cad?\nAnswer: -db975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*c = -6*d + 10, -2*d + c - 5 = 0. Let j(o) = o**3 - o. Let m(v) = 5*v**3 - 5*v - 5. Let r(a) = 6*j(a) - m(a). What is the units digit of r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -15*d + 39. Is 15 a factor of j(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36.2328 (b) -16 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1049*v**3 + 212*v**2 + 770686.\nAnswer: -3147*v**2 + 424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/5)\/((-6)\/(-150)). Let n = -18 + x. Suppose a + 13 = n*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 57*y + 204. Give g(-53).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14976 divided by 104?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2184 divided by 728\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 100 = 3*o, 3*o + 64 = 5*o + 2*g. Suppose -9 = 3*a - o. Calculate the greatest common factor of 72 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(((n*n**(-1))\/n)\/n)))\/n*n**(-3)\/n)**(8\/5))**44)**37 assuming n is positive.\nAnswer: n**(-91168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 2 (b) -1 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12)*-1)\/(2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295975.62us in days?\nAnswer: 0.00000342564375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 8*j**2 - 118*j + 360. Give h(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 33. Let k = -73 - y. Suppose 4*u - 13 + 1 = 0. Sort k, u, -2 in ascending order.\nAnswer: -2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d - 13. Let w be h(4). Solve 6*f = 10*f + 2*q - 28, w*f - 4*q + 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*p - 3*p + p)*(-5 + 5 + 5*p) + p**2 - 3 - 1 + 1)*(-2 + 2*p + 2) as n*p + m*p**3 + y + j*p**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 9*u + 3. Let t be n(8). Let i be t*2\/((-4)\/2). Let q = 7 - i. Solve x - q = c, 2*x - 1 = -c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + r**3 + 2*r - 15*r**2 - 4*r + 3*r**4 + 2*r**5 + 12*r**2.\nAnswer: r*(r - 1)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, -169, -1.\nAnswer: -331, -169, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42672, 42904, 43290, 43830, 44524, 45372?\n\"Answer: 77*d**2 + d + 42594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 2*w**3 + 3*w + 7*w**3 - 2*w**3 - 3*w**3 + (-w + w + 2*w)*(3 - 5*w**2 - 3) + w**3 + w**3 - w**3 - w - 2*w**3 + w**3 - 7*w.\nAnswer: -6*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 38*k + 15. Let t be a(11). Suppose 74*f = t*f - 756. What is the highest common divisor of f and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 174*j**2 - 6*j - 8. Let n be i(-6). Let q be ((-104)\/n)\/((-1)\/(-1 + 0)). Let l be (4\/6)\/(2\/(-3)). Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 11*f**2 - 6*f + 26. Let q be t(11). Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.057 - -0.127. Let f = l + -5.07. Which is the nearest to -2\/5? (a) 0.5 (b) -1\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*(-6)\/112)\/((-12)\/144*9). Let d be 14\/8*1*-4. Let b = d - -10. What is the closest to b in -3\/5, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 5*v. Suppose 33 = 5*t - 2*d, 4*t + 2*d - 2 = 10. Sort t, -4, v in descending order.\nAnswer: t, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 5*v, 5*z + v = 3*z + 11. Let t = -19 - -24. Sort z, 3, t.\nAnswer: 3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.09958. Round z to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/307847?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347 + -322.49. Let s = 4.1 + 19.9. Let r = s - g. Round r to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = l - 24, 5*l - o - 165 = 4*o. Let n = l + -25. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 7*z + 6. Let s be n(5). Let x = -46.9 - -47. Let o(t) = t**3 + 1. Let k be o(-1). What is the nearest to k in 0, s, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17*l**2 - 14. Let p(q) = 8*q**2 + 7. Let j be (0 - 4 - -2)*(-78)\/12. What is j*p(w) + 6*i(w)?\nAnswer: 2*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2123400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -85 * 1\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11982)\/(-4)*(-120)\/(-180). Let o = u + -1265. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:20 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9782367601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43117655, -43117633, -43117611?\n\"Answer: 22*v - 43117677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*m - 168, -3*m + 3*t + 2*t = -123. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526216693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -1579, -1573, -1569, -1567?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133182919?\nAnswer: 133182919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/336 and 79\/264348.\nAnswer: 1057392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477 (base 8) to base 2.\nAnswer: -100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*n - 136. Let s = -33 + n. Let b be -5 + 8 - (-544)\/2. Calculate the highest common factor of b and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192 - -217. Solve -4*i - 3*k = 18, -8*i - g = -3*i + 5*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, -0.3, 2.3, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6)*260\/585\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761244 divided by -18?\nAnswer: -208958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22797 = -14*j - 37*j. What is the remainder when j is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -330?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 y when four letters picked without replacement from {y: 8, i: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.7, 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -4, -9\/10, 3, -1\/4, -27.41, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29502, -58881, -88260?\n\"Answer: -29379*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7.1, -28, 0?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-8 + -4 + 19 - -14)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392582566?\nAnswer: 2, 3, 11, 71, 510581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b. Let j(v) = 5*v**2 - v + 11900. What is j(d(l))?\nAnswer: 500*l**2 - 10*l + 11900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x + 15, -3*x = 4*b + 15. Suppose 0 = -5*z + 3*z + 114. Let c be 0 + b\/z - 0. What is the third smallest value in 1\/3, c, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 11:42 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 6. Suppose -m + 3*g + a = 0, -1 = -2*m + 3*g + 5. Solve m = 3*v + v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 148, 143, 136, 127?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/2 - 13461*y**2\/2 + 808179*y + 814908 = 0?\nAnswer: -4604, -1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -85*d**2 + 185*d - 120. Let k(u) = u**3 - 43*u**2 + 94*u - 60. Let r(j) = 2*c(j) - 5*k(j). Suppose r(y) = 0. What is y?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28216890?\nAnswer: 2, 3, 5, 13, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:53 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 591*m - 16410. Calculate r(40).\nAnswer: 7230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 5*j**2\/2 - 2*j - 5\/2.\nAnswer: (j - 1)*(j + 1)*(4*j + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, v: 4}. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.099\nAnswer: 0.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 2, q: 2, w: 5, y: 6}. Give prob of picking 1 y, 1 h, and 2 q.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4)*q)\/q*q*q)\/q*q*(q*q**(1\/14)*q*q*q)\/q assuming q is positive.\nAnswer: q**(141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -49, 4, 18 in descending order.\nAnswer: 18, 4, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 716 - 495. Suppose 0 = 130*o - 117*o - y. Calculate the highest common divisor of o and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(343\/(-6))*231\/99)\/(2\/(-434)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 400, 3731, 12744, 30277, 59168, 102255, 162376, 242369?\n\"Answer: 473*v**3 + 3*v**2 + 11*v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 15*t**2 + 16*t + 9. Let r(s) = -3*s**3 + 43*s**2 - 45*s - 26. Calculate 17*l(j) + 6*r(j).\nAnswer: -j**3 + 3*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19) + 1 + sqrt(19) + (sqrt(19) + sqrt(19)*1)*-4)*6.\nAnswer: -36*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75.37433 and 1660.\nAnswer: 1584.62567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p + 0*p)*(25*p**3 - 7*p**3 - 15*p**3) + 6*p**2 - 4*p**2 + 5*p**4 - 3*p**4 + 2*p**4 + 3*p**3 - 3*p**3.\nAnswer: 10*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiihioor. What is prob of sequence io?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 12 = -9*j. Let r(v) = 5*v - 10. Let q(p) be the second derivative of -p**3\/6 + p**2\/2 + 2*p. Let u(h) = 4*q(h) + r(h). What is u(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*s + 2*s - 4, 0 = -2*s - 2*a + 24. Suppose -s*h - 40 = -200. Calculate the smallest common multiple of h and 2*-1 + 23 + 1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7669 + 1986277\/259. Let m = s - 6017\/2590. Find the common denominator of 46\/55 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/20 - (-1)\/1. Let i = -0.08 - 0.22. Let q = -1 - -5. What is the second smallest value in q, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34559856*p**3 - 10907016*p**2.\nAnswer: 207359136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*x**3 - 8 - 3*x**3.\nAnswer: 3*x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432.67 decades in months?\nAnswer: 291920.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrfufibr. Give prob of sequence lfir.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 - 89992*t + 89991*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*b - 22, 3*b + 8 = m + 4*b. Let c(w) = -w**3 - 12*w**2 + 18*w - 6. Let o be c(-13). Let s = 74 + o. Is s <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-6)\/(-9) + 1. Suppose -6*p + y + 81 = -2*p, -l*p - 2*y + 85 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-500)*-10)\/(2\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*a - 11*a + 889 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -5*(12\/(-10))\/(39\/26) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 23bd?\nAnswer: -23c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -3*q + 3*m, 7*q - 3*q + m - 787 = 0. Calculate the highest common divisor of 28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 315741?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -61. What is the remainder when q is divided by (-3 + -1)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3995069 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 - 10*s - 4. Let z be g(12). Let o(p) = -p**3 - p**2 + 2. What is the lowest common multiple of o(0) and 42\/5 - z\/50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 540. What is the common denominator of ((-2475)\/(-54))\/11*(245\/(-75) - -2) and 3 - 1*2163\/z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*i - 200 = 0, -3*i + 2*i = 3*q - 142. Differentiate 43 - n**3 + q - 28*n - 23 wrt n.\nAnswer: -3*n**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.07?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.3 - -40. Let p = 0.391 - -0.449. Let z = p - 0.74. What is the biggest value in z, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -1\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-1*-6 + (4*sqrt(110)\/sqrt(2) - sqrt(55)))\/(sqrt(5) + (sqrt(605) + sqrt(605)*-1 - sqrt(5)) - (sqrt(10)*-2)\/sqrt(2)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 17. Let k(t) = 16*t + 40. Let y(s) = 57*s + 144. Let b(j) = 18*k(j) - 5*y(j). Give z(b(n)).\nAnswer: -9*n + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2 - 0)*2. Let j be ((-3)\/(-6))\/((-1)\/h). Suppose 0*i + 5*i - 50 = -5*o, j*o = -3*i + 25. Solve -5*w = -4*w - o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 9230*r**2 - 9227*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7932 (base 10) to base 3\nAnswer: 101212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 411089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -12*d - 91. Determine n(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11472 by -30.\nAnswer: -1912\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1170123, -2340279, -3510435, -4680591, -5850747, -7020903?\nAnswer: -8191059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 411 and 377709?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/4*36\/45. Suppose -v + 10 = -d*v. Is -11 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -551, -6, -3, 72, -4, 2 in increasing order.\nAnswer: -551, -6, -4, -3, -2, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*q + 2*q - 41, 2*q + 6 = 0. Let h be (-226)\/(-8) - (-15)\/(-50)*(-10)\/(-12). Calculate the greatest common divisor of h and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -39. Let r be (2 - (6 - 6))*(-1)\/(-1). What is the closest to r in c, -17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -4 (c) -0.23 (d) -6\/11 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 31. Let s(n) = 3792*n. Determine v(s(g)).\nAnswer: -3792*g - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1015, 1308, 1599, 1888, 2175, 2460, 2743?\nAnswer: 3024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538641?\nAnswer: 3, 97, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/2, 27\/17, -0.7?\nAnswer: 27\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 21*n**4\/2 + 29*n - 32. What is the derivative of v(h) wrt h?\nAnswer: 126*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 60 + 52 = 0. Let z = g + 99. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 2624*x**3 - 118580*x**2 + 1149312*x - 1845360 = 0 for x.\nAnswer: -699, 2, 11, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-10))\/3*1410\/(-423). Solve -5*j + 21 = -h - 0*h, -4*j + w = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (9 + -109 + -7 - (15 + -20)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 7) + -9 + -2 + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-17 + (2 - -2) - -5) - 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**2 + 34*j - 86. Is o(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29658087*o**2 - 26363768 with respect to o.\nAnswer: 59316174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 5*h**3\/3 + 75*h**2\/2 - 80*h - 60. Factor r(d).\nAnswer: 5*(d - 1)*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 6*o + 3. Let w(a) = -2*a**2 - 7*a - 3. What is 6*t(b) + 5*w(b)?\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 24 = 2*x + 2*x, 23 = -3*x - 2*t. What are the prime factors of (10\/x)\/(1\/(-22))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147330648*h**4 - 194*h - 15585.\nAnswer: 1767967776*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 2 + -2)*(-770)\/21. Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 215 - 87. Suppose -179 = -9*w - 35. What is the highest common factor of w and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1914\/12)\/((-1089)\/(-396)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485596964 by -121399241.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/41 (b) -2\/11 (c) -3 (d) 4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5 + 56*d**3 - 4*d - 53?\nAnswer: 60*d**3 + 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (160*h - 3 + 62*h + 6)*(5 - 4 - 2) to the form k + c*h and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 2 - (1 + 4) - -2. What is the second derivative of 16*q**p + 3 + 0 + 8 + q**2 + q - 2 wrt q?\nAnswer: 320*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 73*h**2 + 8*h - 4 - h**3 - 37*h**2 - 43*h**2. What are the prime factors of f(-9)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 5*m - 5. Let p = -43 + 40. Let o be k(p). Let n = o + -14. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228393 is divided by 111581?\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558 and 17484.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y - 18. Let l(u) = 2*u + 11. Let v(c) = 5*l(c) + 3*x(c). What is v(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 8*f**2 + 3. Let y be o(8). Let j be 7 - (-4)\/(4\/(-3)). Let h = 10 + -5. Solve -j*p - y = h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 8*x - 1. Let t be v(4). Let m = t - -19. Suppose -m*c - 3*l + 12 = -4, c + 3*l - 2 = 0. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -2*m**7\/105 - 2*m**3\/3 - 5*m**2. Differentiate d(g) with respect to g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -854.1, 1, 0.1, -5.\nAnswer: -854.1, -5, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10519941 rounded to the nearest ten thousand?\nAnswer: 10520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 68*n. Suppose 0 = 5*s - 2*s - 1074. Calculate the smallest common multiple of s and b(-10).\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95169 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 5 = 0, 1 = 2*n + w. Let v be 3\/(2\/n + -3). What is the units digit of -8*v\/(-6) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4840901 = 114*t - 117*t, 3*p - 7261353 = -4*t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.029813 - 242.399813. What is c rounded to 0 dps?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4645274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 18. Let s = 17 - 10. Let i be w(s). Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*u**4 - u**3*w + 70*u**3 + 8*u*w + 11*u + 11*w wrt u?\nAnswer: -120*u**2 - 6*u*w + 420*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96219\/16 + -6018. Calculate the common denominator of o and 81\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 105. Let g be 2\/4*(-1 + 11). Solve 0 = v - p - b - 3, 3*v + 2*p = g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12 + (3 - (-15)\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*o + 14 = -132*o + 2*y, -5*o = y - 7. Solve -c - 2*a + 8 = o, -c - a = -4 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**8\/560 + 3*v**7\/350 + v**6\/100 - 9*v**2. Let i(b) = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0 - 0)*(9 - 6). Let r be 5 + -7 - (-15)\/8. Sort 2, a, r in decreasing order.\nAnswer: 2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(40)\/sqrt(5)) - sqrt(17)) + (-1 + 0 + sqrt(17) + sqrt(17) + sqrt(17) + sqrt(17))**2 + sqrt(17).\nAnswer: -7*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4575430\/1525145 - ((-24)\/(-8) + 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 506329705876?\nAnswer: 506329705869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, n: 4, z: 1}. Give prob of sequence yn.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.289 - 2.289. Which is the smallest value? (a) -0.4 (b) -3 (c) q (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2259 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 2*d**2)*(-12 - 13 - 9) + 0*d**2 + 0*d**2 - d**2.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 171 = -0*v. Let w = 148 - 126. Let u = v - w. Round u to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21107? (a) 33 (b) -3\/2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70059257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - 0\/6 - (-22)\/5. What is the second biggest value in 4, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001540904 to 5 decimal places.\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694 + 1237. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55882 + -882. What is y rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 8. Let d(j) = 6*j + 12. Let f(k) = 5*k + 9. Let g(u) = -4*d(u) + 5*f(u). Determine -11*g(p) + 4*o(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1750 and 1330?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.2 and 3185.\nAnswer: 54782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*g - 22, 2 = 27*l - 22*l - g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -13. Let y = b + 76. Let a = -18 - -25. Is y <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 at least as big as 175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 8*y**2 - 8*y - 6. Let w be t(-7). Suppose 4*i - 36 = -3*b, -5*b + i + 59 = -w. Suppose 4*k - k = b. Solve r + k = -0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -13. Let k be (b + (-56 - -2))\/(-2). Does 26 divide (0 + k)\/((-12)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1410 = 3*s - 2*m - 4655, 0 = 3*s - 3*m - 3249. Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -581, -282 in decreasing order.\nAnswer: 12, -282, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317076, -634255, -951434?\nAnswer: -1268613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -8)*(-2 - -3). Suppose -3*a + 10 - v = 0, -d + 9 = 3*a. Suppose -u = j - 2*j + 12, d = 3*j + 4*u - 64. Solve -x + 5*x - j = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n = -810. Suppose 3*f - 5*f + n = -5*u, -3*u = 5*f - 467. List the prime factors of f.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 604\/(-453) - (1 - 266\/90) and 74\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2127 - 13549 - 4836 - 17321)*(0 - 5 + x + 3) - 2*x + x + 2*x + 0 + 0 + 2*x + (4 - 3 + 1)*(-x + 4*x - x) - 3 + 2*x + 3.\nAnswer: -37824*x + 75666","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let z(t) = 3*t**3 - 3*t**2 + t. List the prime factors of z(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1050 and 6200.\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-51)\/(-9). Let m be (27\/12*2)\/((-31)\/(-1302)). Suppose s*l - 3*l = m. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 41 = 2*p, 6*p = p - 5. Let q(r) = r**3 - 13*r**2 + 30*r - 13. Is q(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/3)\/(k*k*(k\/((k*k**2\/k*k)\/k))\/k*k*k*k)*(k**(-4)*k)**37 assuming k is positive.\nAnswer: k**(-341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*l + 7, 4*t + 2*l - 3 = 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {n: 1, i: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1738058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2+-9199.24\nAnswer: -9197.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*u + 6*b**4 - 17*b**3*u - 8*b**3 + 53*b**2 - 6*b*u - 3*b - u wrt b?\nAnswer: -24*b*u + 144*b - 102*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 1 = 21. Suppose -6*g + b*g = -2. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159106999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497925.\nAnswer: 5, 41, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582830 and 2052430?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -k + 5*p, 0 = 1198*p - 1196*p + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 28, -0.07, -35, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 315*q**2 - 374*q**2 + 637*q**2 to m*q**2 + v*q + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -174, -199, -224?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5736832.\nAnswer: 2, 44819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-3))\/((-15)\/225). Suppose x*o - 21*o = 0. Sort -5, o, 4 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*a - 60, -2*w - 174 = -2*a - 3*a. What is the remainder when 54 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77, -154, -229, -302, -373, -442, -509?\n\"Answer: u**2 - 80*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5998 + 6000. Solve 7*g + 5*v - 40 = b*g, -7 = g - 2*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mrxrryrxryxryr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 30*t**3 + 9*t.\nAnswer: 30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11336, -45450, -102310, -181916, -284268, -409366, -557210?\n\"Answer: -11373*h**2 + 5*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*c - 4, 4*n + 4*c - 6 - 26 = 0. Suppose -l = n*l. What is the third smallest value in 1, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3030\/9)\/(((-6)\/(-9))\/2). Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q - 2. Suppose 0*k - 5 = -5*k. Let r be s(k). Let i = -3 + 3. Solve 3*g + 3*a = -i*a - 12, r*g + 5*a = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 - 3*o - 4. Let w be g(-9). What is the remainder when (18\/4)\/((-15)\/w) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 10*x**2 - 7*x - 15. Let c be q(9). Suppose 0 = 5*o - n - 13, c*n - 4 = n. Determine s, given that -44*s + 77*s + 0*s**2 - o*s**2 - 36*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 18 = -6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**4 - 5*v**3 + 249*v - 5. Let r(b) = b**5 + 6*b**4 + 6*b**3 - 249*b + 6. Let m(w) = 6*l(w) + 5*r(w). What is the second derivative of m(s) wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-72)*1*-13*2)\/(5\/(-50))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 n when four letters picked without replacement from {n: 3, z: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/7*19\/76.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232608 = -4423*y + 4431*y. What is the highest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160147872 + 5?\nAnswer: -160147867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*i - 484430 + 685207 + 648181. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*y + 38 = 0, 17 + 3 = -4*y. Suppose -30 = -3*q - 2*q. Calculate the remainder when z is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 divided by -3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -0.06, 0.14, -3, -5\/153, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000951 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(0 + -1)\/(-1). Let s be (-3)\/(-2) - (-7)\/14. Solve -7 = s*c + y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1144 and 540488.\nAnswer: 5945368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3271 by -6.\nAnswer: 3271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0 + 0)*2. Let r(k) = -k**3 + 4*k**2 + 7*k - 1. Let h be r(5). Let i = f + h. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10198 is divided by 443.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0468 times -1.373?\nAnswer: 0.0642564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1015 - 1011. Let r = 15 - 8. Let a be (2\/r)\/(6\/(-14)). What is the third biggest value in a, h, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18530 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 360 = 5*w, 87*k - 1800 = 84*k + 25*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100001 - -1010100010?\nAnswer: 101001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-152)*(-8)\/60?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) -4 (c) -6.3 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 7. Let l be k(-3). Let f(z) = 11*z**2 + 10*z + 4. Let d(s) = 9*s**2 + 10*s + 4. Let x(h) = 5*d(h) - 4*f(h). Determine x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)*-4 - 2. Let x(t) = 3*t**2 - 1. Let y(h) = h**3 + h**2 - h - 1. Let r(z) = -x(z) + 2*y(z). Is r(v) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)\/r)\/r**5)\/(r**5\/r**(-5))*(r**0\/r)**(-45)*r**(1\/3)\/r*r*(r**(-1\/3)\/r)\/r assuming r is positive.\nAnswer: r**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**4\/12 + 2*t**3\/3 - t**2 + 15*t - 54. Let h(g) be the second derivative of r(g). Let u(i) = -i**2. Give h(u(v)).\nAnswer: -2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w + 7. Let b(c) = 4*c - 2. Let f(l) = -8*l**2 - l. Let u be f(-1). Suppose -3*m - 4 = 2. Give m*s(g) + u*b(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71520 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4*q - 133462790*g**2*q**2 + 8*g*q**2 + 7152956*g + q**2 - q wrt g.\nAnswer: -24*g**2*q - 266925580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alj when three letters picked without replacement from jhxejlhllja?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**2. Let k(g) = 12 - 5 + 0*g - 2*g + 9. Let o be k(7). Let i(y) = 3*y**2 - 3*y**o + 2*y**2. Determine i(u(x)).\nAnswer: 288*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23301, -46610, -69919, -93228, -116537?\n\"Answer: -23309*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 - 69*q**2 + 333 - 116.\nAnswer: -69*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1287 = 22*a + 11*a. Is 45 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*r + 6 + 12, -5*r + 16 = -2*i. What is the greatest common factor of 42 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 13*x**3 + 13*x**2 + 21*x + 1. Let j(c) = c**3 + c**2 + 7*c. What is 6*j(o) - s(o)?\nAnswer: -7*o**3 - 7*o**2 + 21*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2. Let s = 13 - 9. Suppose 4*d - s = 2*i + 8, -3*d + 14 = i. Let g(p) = 7*p**2 - 14*p**2 + 5*p**i. What is g(h(y))?\nAnswer: -162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292523 and 53911.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from kccccqdkckcvqqq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/((-31)\/46686). Let q = 1194 + g. Which is smaller: q or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v + 679 - 679 + (-8 + 10 + 10)*(7 - 16*v - 7) to z*v + r and give z.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*n - 10 = -307*n - 5*d, 2*n = 4*d + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0007 and 0.075?\nAnswer: -0.0000525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 126. Let a = -1 - -0.7. Let y = a - -0.1. What is the biggest value in 0.4, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3010872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5127\/17 + -301. Which is the closest to s? (a) 0 (b) -4\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 63*s**2 - 684*s - 83. Let d be v(11). Suppose 21 = -4*u - 15. Let l be (2\/(-3))\/(2\/u). Solve -l*a = a - d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -182.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49888 and -0.43828?\nAnswer: 21864.91264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/5 + 6*x**3\/5 + 12*x**2\/5 + 8*x\/5.\nAnswer: x*(x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 82*v - 21. Determine y(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1 - (-58 - -50)) + (-1 - 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a**2 + 620*a + 903 - 314*a - 307*a.\nAnswer: 42*a**2 - a + 903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 41, 58?\n\"Answer: 17*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -47. Suppose -80 = -3*u + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 7) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1985 = -327*i + 2314 + 1914 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 - (30 - 45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122259 - 8869 = 5*g. Let m = -997933\/44 + g. What is the common denominator of m and -61\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276165 divided by 5.\nAnswer: -55233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3330, 3155, 2862, 2451, 1922, 1275?\n\"Answer: -59*t**2 + 2*t + 3387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 5, w: 3, b: 6, j: 1, a: 3}. What is prob of picking 1 a and 1 b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 0.3 (c) 0.4 (d) 201 (e) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016452949 rounded to four dps?\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1242)\/483)\/((-13)\/(1820\/(-12)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 31*v**2 - 3*v. Let j(t) = t**3 + t. Let m(y) = g(y) + 3*j(y). Find the third derivative of m(q) wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 0*g**3 - 6*g**4 + (-2*g + 0*g + 3*g)*(6*g**2 - g**2 - 3*g**2)*(-g - g + 0*g) in the form w*g**3 + l*g**2 + u + z*g**4 + n*g and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let b = 4 + -9. Let o be p(b). Suppose -3*h - 5*k = -46 + 17, 0 = o*h + 5*k - 35. Solve -4*a = -j + 16, j - h*j + 3*a = -12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7177 and 184804.106.\nAnswer: 191981.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1200 (base 3) to base 9\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 31\/297 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 66 = -21*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 - 16*d**2 + 113*d - 1. Calculate u(-13).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 plus -1581?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntdftattffdt. What is prob of sequence tad?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002011678 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6020 and 4385136.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -3, -44 in descending order.\nAnswer: -3, -44, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:49 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -11. Let m = -2 + 11. Is 3\/m - (-249)\/j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -57*s**2 + 49*s + 10. Let y(x) = 28*x**2 - 23*x - 5. Let l(c) = 6*r(c) + 13*y(c). Let u(g) = 385*g**2 - 88*g - 88. Give 88*l(d) - 5*u(d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h + h**2 - 21*h - 3*h**2 + 8*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*q = 18, -q - 2 = 2. Let x = r - -22. Calculate the greatest common factor of 161 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 384967*l**4 - 437311*l wrt l.\nAnswer: 4619604*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = 494*c - 547*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -921, -3614, -8103, -14388?\n\"Answer: -898*u**2 + u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3. Let f be o(0). Suppose -4*m + f*a + 225 = -0*m, -4*m = 5*a - 265. Suppose 2*w + m = 5*w. Calculate the lowest common multiple of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*p + 8, -6 + 34 = 3*n - 4*p. Suppose 0 = -n*b - 0*b + 4. Let l be b - (-8)\/12*21. Solve -4*s + s + l = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (7 - -17 - 13 - 56)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*6*6\/9. Let g(v) = -7*v - v + h*v. Let d(y) = y. Determine d(g(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532897758?\nAnswer: 2, 3, 9868477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121072 is divided by 209.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4)*-2) - ((sqrt(2736) + 0)**2 - sqrt(2736) - sqrt(2736))) + (sqrt(171) - (sqrt(171) + 4*(2 + sqrt(171))) - sqrt(171))**2.\nAnswer: 527*sqrt(19)\/2 + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*b**2 - 28*b**2 - 7 - 38*b**2 + 7 - 39*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11596 and 14636382.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 - 31*q**3 + q**2\/3 + 31*q.\nAnswer: -q*(q - 1)*(q + 1)*(q + 93)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138 or -71151\/517?\nAnswer: -71151\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 32 = -2*x, 2*x = 3*g + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/6 + 34*s. Let x(r) = 4*r. Calculate j(h) + x(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0 + 0)*(-137 - 118 - 408).\nAnswer: 1989*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -27 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8557, 17091, 25625, 34159, 42693, 51227?\nAnswer: 59761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 83, -1710, 4 in decreasing order.\nAnswer: 83, 4, -2, -1710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + p + 12. Suppose 5*x - 208 = 2*x + i, p*x = 5*i + 212. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 1)*(-9)\/(-6). Let y(a) = -10*a - 14 - h + 6*a. Let i be y(-9). What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + (-2)\/(-24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w. Let z(u) = -u**2 - 677848*u + 3. Determine z(n(o)).\nAnswer: -9*o**2 - 2033544*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*l**3*t*v**3 - l**3*t*v - 73*l**2*v**3 + 16*l*t*v**2 + 10*l*v**2 - 4*t*v**3 - 884*t*v**2 wrt v?\nAnswer: 414*l**3*t - 438*l**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 11.43941.\nAnswer: 2.287882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0\/1)\/3)\/(-2). Suppose n = -3*u + u - 3*i + 102, 232 = 5*u - 4*i. Suppose -5*j + 40 = -5*v, 6*j - 3*j = -3*v + u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292232 take away -137774045?\nAnswer: 137481813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267198 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*b + 27*b + 3 - 4)*(3 + 1 - 12).\nAnswer: -528*b + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjgm when four letters picked without replacement from {j: 2, t: 2, p: 2, g: 1, l: 1, m: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*l - 79 = 0, 0 = -4*l + 2 - 14. Let q = 14 + h. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32263, -129036, -290331, -516154, -806511?\nAnswer: -1161408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.3 (b) -4\/7 (c) 4\/5 (d) -0.5 (e) -651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-8))\/((-3)\/(-12)). Suppose f - q*f + 52 = 0. Calculate the greatest common divisor of f and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/5 + 9*z**4 - 1613*z**3\/5 + 15759*z**2\/5 - 55088*z\/5 + 40896\/5 = 0 for z.\nAnswer: -71, 1, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -15. Suppose 0 = v*g - 0 - 8. Suppose t = -5*y + 26 + 71, -2*y + 52 = -g*t. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*u + 24429 = 0, 9801 = 28*x - 26*x + 3*u. Calculate the smallest common multiple of 3912 and x.\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -260680.\nAnswer: -260680, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 525*z\/4 + 4401.\nAnswer: (z + 36)*(z + 489)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6 + 0\/3 - (-200)\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - -2110. Let k = 3037 - z. List the prime factors of k.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k + 11. Let r(y) = -10*y + 17. Let w(l) = 3*l + 14. Let o be w(-7). Let c(a) = o*s(a) + 5*r(a). Let z be c(0). Solve z = -5*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 825, 1650, 2475, 3300?\nAnswer: 4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let n be s(5). Let m(d) = 3*d**3 - 2*d**2 + 2*d - 3. Let h be m(n). Suppose -47 = -4*g + h. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (3 - (3 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 2\/13 (c) 381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -19. What is the greatest common factor of p and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 4, a: 2, o: 2}. Give prob of sequence lol.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o*t**2 - 205*o*t + 2365*t**2 - 1 wrt o.\nAnswer: -t**2 - 205*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 10*g**2 - 8*g - 5. Let b be k(9). Suppose 5*t = t + b. Let q be t*(-1 + 16\/14). Are q and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/38350 and 1\/1770?\nAnswer: 115050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 983085494 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3 + 3. Is o at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:15 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + s = -5 + 1, 3*o - 5*s = 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225684 is divided by 8680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**25\/(c\/(c**17*c)) assuming c is positive.\nAnswer: c**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 2*x**5 + 4*x**3 + (-2 + 2 - 3*x**3)*(-2*x**2 - 4*x**2 + 5*x**2) - 4*x**5 + x**5 + x**5.\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = -3*j + 2*i, 2*j = 5*i - 9. Suppose -v + 208 = j*v. Let o(k) = k + 1. What is the remainder when v is divided by o(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(1700)*-4)**2.\nAnswer: 979200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19398201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k + 2*k - 3*k)*(-32*k**2 + 12*k**3 + 32*k**2) - k**4 + k**4 - 2*k**4 + (2*k**2 + k**2 - 5*k**2)*(-3 + 3 - 2*k**2) + k**4 + 0*k**4 + 0*k**4.\nAnswer: 87*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccxcxccxcxxcxcj. Give prob of sequence jjjx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2156, 9784, 22504, 40316, 63220?\n\"Answer: 2546*m**2 - 10*m - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(2\/23))*t)\/(t*t**(-10)))**(-29)*(t**(-2\/11)\/(((t\/t**(5\/2))\/t)\/t))**35 assuming t is positive.\nAnswer: t**(-89251\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 4*h + 9. Calculate z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, -4, 1177 in decreasing order.\nAnswer: 1177, 11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42646 (base 10) to base 6.\nAnswer: 525234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*m = 61*m + 46725. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 36*s - 24*s. Put 40, 5, s, 4 in increasing order.\nAnswer: s, 4, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 16. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, r: 4, z: 2, a: 3, g: 4}. What is prob of picking 1 a and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + t. Let j be 65\/7 - 8\/28. Suppose 2*y = 3*n - 7, 4*n + 2 = 5*y + j. Let f(s) = 3*s**2 - 5*s - 2. Calculate y*f(a) + 4*c(a).\nAnswer: -a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114452 (base 10) to base 9\nAnswer: -183888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(7 - 4*c - 7) - c + 2*c + 0*c)*(0 + 0 - 2)*(-3*c + 0*c + 5*c).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqtfffiifoobtt. Give prob of sequence bq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/5)\/s)\/(s\/(s*s**5)))**5 assuming s is positive.\nAnswer: s**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 + g - 3. Let t be i(3). Let u be t + (0 - (-1)\/5). Find p such that u*p**2 + 1\/5 - 2\/5*p = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 35, -15*h + 4182 = p - 20*h. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15168 and 4495416?\nAnswer: 35963328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (231 - 3) + 4*(0 - -1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102571350580 rounded to the nearest one million?\nAnswer: 102571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*x + 2*x + 20, 0 = 5*x - b + 20. What is the closest to -1 in x, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 15*a + 4. What is the units digit of v(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*n - 64*n + 5*p - 5, 4*n = 5*p - 7. Solve n = -146*r + 145*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274 is divided by 66.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 314\/5*(-20)\/(-16)*2. Let r = 76 + u. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (-12 + -10 - -36)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*j - 2*j - 247, 5*j = -g + 71. What is the greatest common factor of 153 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 12907*o + 10 + 4 - 36 to the form n + d*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 150630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {u: 3, n: 4, s: 1, e: 1, q: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w*w**(-3\/26)*w)*w*w)*w**(-8)\/w)**(-1\/43))**(-4\/13))**(-18) assuming w is positive.\nAnswer: w**(9468\/7267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -166665*n + 21. Let i be v(-12). Suppose q - 7999999 = -4*j + 2*q, -j + i = q. What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5491, -5244, -4859, -4336, -3675?\n\"Answer: 69*k**2 + 40*k - 5600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c2c0a (base 13) to base 10.\nAnswer: -1091750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 629 divide 7898383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2830 or 188749?\nAnswer: 188749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10316*w - 858 = 10342*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5904, 23503, 52800, 93789, 146464, 210819?\nAnswer: 286848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -1 + -6)\/(3\/(-24)). What is the highest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -358, -1, 5 in ascending order.\nAnswer: -358, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 265. What is z(-44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 90323552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8 - 62 = 0. Let x(p) = -p**3 + p**2 + 2*p + 2. Let g be x(3). Let t be ((-25)\/g)\/(3\/42). What is the greatest common factor of d and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -12. Let v = 11 - q. Let l = -6674 + 6674.5. Which is the second smallest value? (a) l (b) v (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d - 12*d + 5 - 20*d + 107*d - 19*d.\nAnswer: 23*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -17 + 7 + 18 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -6 (c) 27 (d) -2 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/5, 164, -0.4 in descending order.\nAnswer: 164, 0.1, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*3*2*4)\/(sqrt(968)*3*-3))**2.\nAnswer: 64\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.213 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v + 1 + 3 + 5*v + 1 - 2*v. Let d = 3 - 1. Suppose -w = d*w - 15. What is u(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/(-33))\/((-4)\/(-30)). Let d(l) = l**2 - l - 1. Let u be d(3). Solve 2*w - 25 = -u*h - q, 0 = h - 5*w + 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4609 or 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-2 + 4.\nAnswer: -24*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.151\nAnswer: 0.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-1 - 1). Suppose -2*q - 13 = -5*c, 2*c + t*q = 15 - 6. What is the first derivative of 3 - c + b**3 + 4 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 10*f - 24. Let d be i(-6). Solve -4*r + 1 = -8*c + 3*c, d = -c + 4*r + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48492 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (53 + -54 - (119 + 1))) + 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716359 is divided by 42138?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 84*o - 27 + 80*o + 53.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 10433?\nAnswer: -10425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3139405861 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000704011?\nAnswer: 1867, 1607233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/13 (b) 0 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -22.5. Which is the nearest to 1\/3? (a) -1\/5 (b) -10 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 - 120. Solve 0 = -299*x + 294*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Suppose -2*x = h*x - 30. Suppose -u + x*u - 60 = 0. Calculate the highest common factor of u and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 7.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -j + 3*s, -5*s + 132 + 8 = -2*j. Let m be ((-10)\/(-15))\/(2\/j*-2). Suppose -m*x + 675 = 25. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10912008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-2) - -4)*-2. Suppose -2*a - a - 4*q - 10 = 0, 0 = b*q + 16. Solve -3*o + 5 = -a*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*k + 256*k + 45 = 0. Suppose -v + 4*v - 1083 = -3*g, k*g = 2*v - 757. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 22*j**2 + 43 - 86 + 43. Let t(x) be the third derivative of -x**4\/24 + 19*x**2. What is t(c(v))?\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9033 and -53\/2420844?\nAnswer: 2420844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 - 2*x. Let b(p) = -p**2 - p. Let m(c) = 15*b(c) - 5*f(c). Factor m(z).\nAnswer: -5*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - 1*sqrt(250))\/sqrt(320) - (sqrt(22) - (2*sqrt(176))\/sqrt(8))\/(sqrt(539)*-2).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*x**3 - x - 11*x**3 + 2*x**3 - 37*x**2 wrt x.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*d**6 + 68*d**4 + d**3 - 2*d**2 + 72*d - 272 wrt d?\nAnswer: 7320*d**3 + 1632*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 394*s + 9850. Let b be d(-25). Let i(m) = 6*m**2 - 3*m + 9. What is i(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3 - (0 + -23))*48\/20 and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 303543927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*w - 0. Let l = 22 + -22.7. Let b = 11267 - 11263. What is the second biggest value in l, 3, b, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - (-110)\/(-90). Let g be 3 + -1 + s - -1. Solve -g = -0*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-15))\/((-4)\/(-30)). Let r = -22 - -12. Let x = g - r. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1576 is divided by 1207.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**2 - 6*s - 7. Let a(t) = 6*t**2 + 4*t + 5. Let o = -40 + 41. Let w = -6 + o. What is w*h(g) - 7*a(g)?\nAnswer: 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 30*u + 40*u - 37*u - 4*u - u + 3*u + (0 - 2 + 4)*(-2*u + 3*u - 2*u) + u - 3*u + u to h*u + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z**2 - 254608*z**3 + 30*z**2 + 254605*z**3 - 66*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 54 = 4*g - 120, -58 = -a + 5*g. Calculate the remainder when a is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6776?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2517*h = -4177*h + 4248 + 18042 + 17874 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(2*sqrt(5)))**2*4 + (-1 + sqrt(1088))*-2.\nAnswer: -16*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 36. Determine u(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -138*i + 133*i - 6*i**2 - i**2. Let b be (-7)\/(-1) + 2 + 12\/(-4). Let j(s) = 3*s**2 + 2*s. What is b*o(a) + 15*j(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104769, 418970, 942465, 1675110, 2616761, 3767274, 5126505, 6694310?\nAnswer: 8470545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33317, -0.09, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -1 (c) 3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6889124231 to the power of 1\/3, to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.655 and 1705.\nAnswer: 1704.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 + 4*s + 1. Let a be -2*(-6)\/(-4)*1. Let p be j(a). Let v(z) = z**3 - 7*z**2 + 6*z - 8. Is v(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*u - 0*u + 23, 0 = 2*u - i + 1. Let d be ((-3)\/(-15))\/((-5)\/(-25)). What is the greatest common divisor of d and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 52. Is v(-3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5))**(-1)*m**(-8)\/(m*m\/(m*m**(-4\/3)*m*m)))\/((m**(1\/3)\/m)**(1\/31)*(m**(-2\/3)\/m)**(-50)) assuming m is positive.\nAnswer: m**(-14267\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 431, 858, 1287, 1718, 2151?\n\"Answer: a**2 + 424*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 717461 or -509?\nAnswer: 717461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208))**2*1 - sqrt(104)\/(sqrt(40)\/sqrt(5)).\nAnswer: -sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.7 - 15. Let r = 0.7 - -0.3. Which is the nearest to r? (a) 0.3 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 take away 1.3?\nAnswer: -453.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48720 by 84.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 21. Suppose -4*h = 12, -10*g = -6*g - 5*h - 63. Give n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.6009 + 3676\nAnswer: 3688.6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/19 (b) 3\/5 (c) -3773\/232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-4)\/(-2))\/1. Let j be 1\/(-3) + (-64)\/(-12). Suppose s - j*s = -36. Calculate the greatest common factor of s and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)*b*b**(1\/19)*b**(-2\/23)\/(((b**(-8\/7)\/b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-51671\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, n: 1, r: 3, z: 1, x: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 472*p**2 + 2854*p + 141. What is d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 4*z - 66 = 1, -b - 2*z + 6*z = 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*j - 124202*h*x**2 - 19*h + 3*j*x**2 - 4*j*x - 2*j - 224 with respect to x.\nAnswer: -248404*h*x + 6*j*x - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 48*d**2 + 17*d + 22. What is the tens digit of s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9483 + -9483.00011082. What is n rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001337957868 rounded to six decimal places?\nAnswer: -0.001338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1040365400 to the nearest 1000000.\nAnswer: 1040000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 6, u: 3, j: 8}. Give prob of picking 3 s.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.530087707 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = 24. Let k(f) = -f**3 - 5*f**2 + 7*f + 1. Calculate k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.910345m to centimeters.\nAnswer: 291.0345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 10*c**2 - 5*c - 4. Let m be o(7). Let z be (-4)\/(-18) + 30\/m. Factor r**4 - r**2 - z*r + 0 + 0*r**3 + 1\/2*r**5.\nAnswer: r*(r - 1)*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 1.498\nAnswer: 1.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 + 506\/3. What is the nearest to l in -5\/4, -1, 2\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 2*f - 3*f, -3*f + i = -9. Calculate the least common multiple of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -74, -2.1, 5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(1\/8))\/(g*g*g**(-2)*g) assuming g is positive.\nAnswer: g**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeiof. Give prob of sequence eo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255997 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001603005434 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-55)\/(-231)*9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -4*c, 5*g + 2 + 14 = -2*c. Suppose 2*m - 5*m = m. What is the second biggest value in m, -2, -0.7, g?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 22*d + 540 = 30*d. Let q be 52 - (-2 - -2 - 0). Suppose 3*p = 3*r - 1 + q, -2*p - 3*r + 19 = 0. What is the remainder when p is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o - 9. Let s(l) = 5*l + 4. Let y(f) = -6*k(f) - 13*s(f). Suppose 2*b = -4*z - z - 7, 4*z = -2*b - 4. Let q be (z\/(-6) + 0)*4. Determine y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3)*k)**(3\/5)\/(k**(-1\/2)*k**10))**(6\/7))**50 assuming k is positive.\nAnswer: k**(-3210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6122581 + 6121249 = -111*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7866.505806 - 8044.5061. Let b = -36.8 - -214.8. Let d = w + b. What is d rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273353362 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:11 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 1. Let v = 1.7 - -2.6. Let h = -4 + v. Sort -3, y, h in decreasing order.\nAnswer: h, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - 21*v + 42. Let p(o) = -3*o**2 - 15*o + 44. What is -3*p(t) + 2*q(t)?\nAnswer: t**2 + 3*t - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 10) to base 9.\nAnswer: -1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.035 - -0.07. Let k = 0.0350006 - r. Round k to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24669, 24535, 24407, 24291, 24193, 24119?\n\"Answer: f**3 - 3*f**2 - 132*f + 24803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 7:39 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1059 - 1055. Solve 104 - 108 = p*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/114412671 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (105\/(-2))\/(46\/(-92)). Let c(b) = 2*b**2 + 21*b + 5. Let o be c(-15). Calculate the greatest common divisor of o and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**3 + 6*t**2 - 8*t - 11. Let b be (-72 - -2)\/10 + 4. Suppose -k - 12 + 4 = 0. Let q(o) = 2*o**3 - 2*o**2 + 3*o + 4. What is b*s(n) + k*q(n)?\nAnswer: -n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8818830 is divided by 675?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*b - 3120 = 100*b + 189*b. Suppose 828 = n + m, 2*m = -3*m - 20. What is the greatest common divisor of b and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 30, -8\/33, 74, -0.5?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 10*x**2 + 7*x + 10. Calculate v(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -9\/2*l**2 + 12*l - 7. Differentiate j(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12760 and 29000.\nAnswer: 319000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*j + 12, -4 = -2*d + 9*j - 10*j. Suppose 4*g = 8 + 8. Suppose -c = v + 28, v - 4*v - g*c - 82 = d. Which is smaller: v or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 + 1336 = 22*p - 842. Calculate the remainder when 219 is divided by p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 2)*(-4*f - 5*f + 6*f)*(-2 + 2 + 2*f**2)*(-44 + 64 + 40).\nAnswer: -2160*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-20))\/7 + 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.35 times 0.09\nAnswer: 0.2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1485362630 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, -25, 3\/17, -1, -2\/9, 41 in descending order.\nAnswer: 41, 3\/17, -2\/9, -1, -4.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 987816063 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.1056166\nAnswer: -0.02112332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 3. Let o be s(-4). Let b be -12*(o + 2 + -4). Suppose m + b = 4*m. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-6)\/45*5. Suppose 6 = y - r. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/12 - 5*a**3\/3 + 4*a**2. Let h be m(5). Is h greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*k, -5*j - 88 = -16*k - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-1620)*((-220)\/(-24) + (-1)\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from zbbhphbibhpi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 0, -3 in descending order.\nAnswer: 3, 0, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 9*f - 11. Let a(q) = 2 - q**2 + 8*q - 12*q - 7. Let x(z) = -z**2 + 10*z + 14. Let n be x(11). What is n*g(t) - 7*a(t)?\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 605984.9ug?\nAnswer: 0.0006059849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2542 (base 6) to base 11\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010787321 to 6 decimal places.\nAnswer: -0.001079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 235*m - 6916. Give c(-38).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -2*sqrt(304))*6)**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from {l: 4, j: 12, k: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**3 - 9*s**2 + 2*s - 10. Let r be y(2). Which is the closest to 7? (a) r (b) 0.5 (c) 143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2\/2 + 249*o\/2 - 255 = 0.\nAnswer: -85, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c + 6 = -47*c. Let u(z) be the third derivative of 1\/24*z**4 + 0 + 0*z + 3*z**2 - 2\/3*z**c. Differentiate u(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, f: 1, e: 4, i: 1}. Give prob of sequence ik.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33588887 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 15 - ((-15 - (-9 + -3)) + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -65*p + 37*p + 4 + 0 + 7. What is the tens digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 11*m + 3. Give d(9).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.02 + 0.12. Let x = 1 + p. Let g = 25 - 49\/2. Is g at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(102\/(-33) + 3). Let f(c) = c**2 - d*c - 12 - 9*c - 2*c**2 + 0*c. Is f(-8) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1979 + 13857\/7. Find t, given that -2\/7*t - o*t**4 - 6\/7*t**2 + 2\/7 + 10\/7*t**3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*d**2*g**2 - 3*d*g**2*l + 5*g**2 + 9*l wrt d.\nAnswer: 220*d*g**2 - 3*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1307 divide 1340822546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*v - 21, v = 2*y - 8 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-18 + (-39 - -18) - (-2 + -1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 28*o. Let l(n) = 5*n**2 + 10. Determine t(l(z)).\nAnswer: 140*z**2 + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(397*s - 437*s + 2 + 1874*s).\nAnswer: 3668*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 20*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -1\/2 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 4*a**2 + 7*a + 4. Let y be n(-5). Let c(u) = 2 - 2 - 3 - 2*u + 2. What is c(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 10*o**2 - 19*o + 85. Let f be i(9). Is -3749*(f + (5 - -1))*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/2*4)\/(-18*(-20)\/7830). Let w be 9*2\/((-4)\/(-18)). Suppose -c + 0*c + w = t, -c + b = -5*t. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (5 - 6) + 605*-14. What is the tens digit of o\/(-16) - (-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2 - 17 = 0, 1512 = -3*i + 4*g. Let v be (-30400)\/(-2*2\/i). Round v to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -7*f**5\/40 - 2*f**4\/3 + 8*f**3\/3 + 21*f**2. Let s(w) be the first derivative of j(w). Differentiate s(u) wrt u.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.84 + 2. Let m = z + 0.14. Let h = 0.11 + 4.89. Which is the third smallest value? (a) -0.1 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (12 - (0 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 1 - 1 + (1 + 2 - 2)*(2*g - g + g) + (-g + 7*g + 2*g)*(-4 - 1 + 2) to r + d*g and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 89. Find the first derivative of m + 52*i**4 + 25 + 0*i**2 + 0*i**2 wrt i.\nAnswer: 208*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-18 - (-1 + -18)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3827786 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = -6*b - 181 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/19)\/s*s)**(-45)\/(s*s\/(s**(-10)\/s)*s*s)**(15\/7) assuming s is positive.\nAnswer: s**(-4590\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*p**2 - 340\/3*p + 14450\/3.\nAnswer: 2*(p - 85)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 862*r**4 - 491*r**2 wrt r.\nAnswer: 20688*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9103980 by -3034660.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6584166 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 753403636, 753403638, 753403640, 753403642?\n\"Answer: 2*y + 753403634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112532.10007 + -112527.2. Let l = -2528.1 + 2533. Let b = l - s. What is b rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169320170 less than -317?\nAnswer: -169320487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1669186.\nAnswer: 5\/1669186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2256898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**5\/15 - w**4\/3 - 8*w**3\/9 + 34*w + 14. Let r(z) be the first derivative of p(z). Factor r(d).\nAnswer: 4*d*(d - 4)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = 2*k - 5*k, y = -5*k + 21. Does 4 divide 54 - y - (-7 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43519081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Let h(p) = -p + 3. Let o be h(0). Suppose 2 = o*k - 10. Put i, 5, k in descending order.\nAnswer: 5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -14434?\nAnswer: 14443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293790373.\nAnswer: 47, 179, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5}. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u, -5*u + 1354 - 5404 = -5*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3689*a**2 - 517*a - 14. Let s(c) = -7375*c**2 + 1033*c + 26. Let i(k) = 11*n(k) + 6*s(k). Find the second derivative of i(p) wrt p.\nAnswer: -7342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 2. Let d be (-12)\/10*390\/j. Let t be d\/(-144) - (-1)\/(-4). Which is the third biggest value? (a) 0.4 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**10*m**10*m*(m*m**(-1\/10)*m*m*m)**42 assuming m is positive.\nAnswer: m**(924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4 - 6*f**3 - 255*f**2 - 488*f - 240 = 0?\nAnswer: -12, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77876*d**2 + 18128?\nAnswer: -155752*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*f + 10915, -162*h = -165*h + 4*f + 6563. Calculate the greatest common divisor of 285 and h.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 215.3753 weeks?\nAnswer: 130258981440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78969570 to the nearest integer?\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120114341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(1\/(-2)). Let h(p) = 11 - 11 + 6*p**2 + p + m*p. What is the remainder when h(-3) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -5*m. Let g(k) = -k**2 - 5*k + 1. Give g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:55 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*u**2 + 419*u**2 + u - u - 10.\nAnswer: 15*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970653479.\nAnswer: 2970653479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 - 40 + 9)*(-520*a + 510*a + 5*a**5 - 2*a**5).\nAnswer: -414*a**5 + 1380*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(2*u - 34*u - 30*u + (-2*u + 0*u - u)*(-4 + 2 + 4)).\nAnswer: -204*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28221\/184 - (-45)\/72. Solve 2*b - 5*f = -17, 0 = 5*b + 2*f - o + 153 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 23*m - 32. Let y be t(-24). Let x(w) = w**2 - 5*w - 7. Let n be x(6). Let s be (1 + 5)*n\/y. Is -2 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 2. Let w be p(-2). Let a(b) = b**3 + b + 1. Let c(n) = 7*n**3 + 6*n + 8. Let f(r) = w*a(r) + c(r). What is the derivative of f(v) wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8183.47 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175433 or 175436?\nAnswer: 175436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.022, -14\/5 in descending order.\nAnswer: -0.022, -1\/4, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 59 - 69 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27878, -27917, -27980, -28067, -28178, -28313, -28472?\nAnswer: -28655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + x - 2 - 4 = 0, 2*l + 5*x = -21. Let p be (-14)\/(-6) - (-1)\/l. Solve 1 = -5*d + 2*i + p, d - 11 = -5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from wcxxwxwxx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 125*x**5\/2 - 33597325*x**4 - 94073270*x**3 + 145141316*x**2 - 62356976*x + 8600960 = 0?\nAnswer: -4, 2\/5, 537560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 - 931 = -2*f. Calculate the highest common divisor of f and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5973 - -2.3357342?\nAnswer: -5970.6642658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 - 25*t + 7. Let y(h) = 2*h**2 - 10*h + 3. Let n(g) = -2*a(g) + 5*y(g). Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2*(-3)\/(-18)). Let l be h\/2 - (8 + -8). Let x be (1*-4)\/((-1)\/(-1)). Which is the third smallest value? (a) -1\/8 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 - -2876. List the prime factors of z.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddwddwwwdwdwwdd. What is prob of sequence wdww?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -620084*r**3 - 1622554*r**2.\nAnswer: -3720504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Which is the fourth biggest value? (a) k (b) 0 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.11064 - 0.11064. Which is the fourth smallest value? (a) s (b) -5 (c) 0.02 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k + 11. Let i(g) = -5*g + 4*g + 3 + 0 - 2. Let a(x) = -c(x) + 6*i(x). What is the derivative of a(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331*k**2 - 333*k**2 - 2*k**3 + 0*k**3 + 35*k to the form f*k**3 + y + r*k + g*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c + 1. Let r(f) = f**3 + 21*f**2 - 59*f - 23. Let m(q) = 4*d(q) - r(q). Let s be m(-27). Are s and 2\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**2 - 112*t + 71. Let x be p(-7). Which is smaller: 1295 or x?\nAnswer: 1295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 2. Let o = -3.2 - -6.8. Let l = z + o. Which is the second biggest value? (a) 0.4 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*p = -4, -2*g = 4*p + 3 - 27. Suppose 0*r = 4*r - g. Solve y = -d + r, y + 3*y = d + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -10001?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 2)*(-u - 3*u + 5*u) - 10 + 10 + 6*u)*(-3 + 1 + 0) to the form p*u + j and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681 + 7*k**2 + 73 + 1503*k - 1495*k - k**2.\nAnswer: 6*k**2 + 8*k - 608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*-33.5109\nAnswer: -134.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024512?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v - 20, -3*z + 196 = -4*v. Suppose 4*m - 2*m = z. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/238 - 1179026\/(-1040060)?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237451, 474908, 712365, 949822, 1187279?\nAnswer: 1424736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 387\/21 - -10\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {o: 1, l: 1, k: 1, j: 1, p: 1, f: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17331 + 17363. Suppose 4*l + 3*n - 1011 = 0, 231 = 2*l + 2*n - 275. What is the remainder when l is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33631635?\nAnswer: 3, 5, 23, 71, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1832205 is divided by 146?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/459 and 7\/2547792?\nAnswer: 129937392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2*j + 11 to h + f*j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*s + 2*s - 470, -482 = -5*s - 2*y. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.369 + -71567834032.\nAnswer: -71567834028.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and 4.1074.\nAnswer: 542.1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + o + 26, 2*o - 20 = -u. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**3 - d**3 + 0*d**3)*(8*d - 1 + 7*d - 23*d) to w*d**2 + p + f*d + l*d**4 + o*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 587*q - 14083. Give u(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000126794 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178139936?\nAnswer: 2, 13, 428221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 - -273. Let w(d) = -d**3 - 5*d**2 - 4*d - 5. Let h be w(-5). What is the greatest common factor of f and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215313667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 397, 882, 1561?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4535 and 3628.\nAnswer: 18140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17316315 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 12*f**2 + f - 12. Let u be k(12). Let m = 4 + u. Let c be (-7)\/(-2) - (-1)\/2. Calculate the highest common factor of m and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 0.4.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**40\/a**(-37))\/(a\/((a**8*a)\/a*a)*a\/(a*a*a\/((a**28*a)\/a*a))) assuming a is positive.\nAnswer: a**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 39310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 + 26*z**3 + 5 - 40*z - 23*z.\nAnswer: -11*z**3 - 63*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*l + 42. Let r = l + 7. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/6*(-2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2628\/20586)\/(75\/(-940)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*n - 6*n = 66, 54 = -4*v - 3*n. Let j be (-56)\/v*6 - 1. Solve -5*c = 3*f + j, f - 5*c - 2 = 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 32*r**2 - 5*r + 8. Let a be o(2). Let g be -7*(4\/6)\/(a\/(-27)). Let d be 1\/(-1)*2\/(-2). Is d less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -239*j + 3. Let k be b(-9). Suppose -10*a + 3086 = -k. What are the prime factors of a?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 13.\nAnswer: -4, -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -135. Suppose -3*g - 7 = -0*c - 4*c, 3*g - 5*c = -11. Calculate the remainder when (p + 0 - g)*-26 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1919.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726 = 28*i - 1614 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-398)\/(-14) - (-48)\/(-112). Let t = -24 + x. Let q(k) = -5 - 3 - 2*k + t. Give q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 3. Let c be r(-8). Let a(p) = -22 - 21 - c*p + 41. Let v be a(-3). Calculate the greatest common divisor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 + 5*k**4\/6 - 7*k**3\/3 - 8*k**2 - 157*k + 1. Let p be y(8). Solve -6*u + 7*u + 2 = p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 372 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-11)\/(-165))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b + 2. Determine z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 5 = -6*t. Which is the closest to 0.1? (a) -1\/4 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(3087) - -1*(1 + sqrt(112))*-5)**2.\nAnswer: -430*sqrt(7) + 12968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11a8 + -7b?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:19 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/6 + 7)\/((-1)\/39556). Suppose -59*n + d = -37*n. What are the prime factors of n?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 257075 and 7350.\nAnswer: 10797150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 6\/5, -0.5, 0.1, 0.115?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -42245?\nAnswer: -42251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8492 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 - 1 - (-1140)\/(-96). Let x = -6 - -6.1. What is the closest to x in -1.1, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)\/((-4)\/(-10)). Suppose w + x = -0*w. Let y = w + 21. Calculate the highest common factor of y and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27016670 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + o**2 + 4. Let m be s(0). Let u be ((-4)\/(-1))\/1*5\/m. Suppose u*y - 418 = 47. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 36*k + 0 - 8\/27*k**3 - 5\/54*k**4 - 4\/9*k**2 - 1\/90*k**5. Factor u(o).\nAnswer: -2*(o + 1)*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 + 27010. Let r(z) = 3*z. Determine r(b(d)).\nAnswer: -12*d**2 + 81030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 16 + 36 = 0. Let t(m) = -10*m**3 + 6*m**2 + 15*m + 26. What are the prime factors of t(g)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10*t**2 - 5*t**2 + 10*t**2 - 5*t**2.\nAnswer: 10*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137\/734 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 2, -14, -48, -106?\n\"Answer: -v**3 + 3*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -1.8537, 0, -0.2, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0315428607 to 4 dps.\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 6*l**2 - 4*l. Let n be b(3). Suppose 0 = -2*y - y + n. Let g = 1109 + -5526\/5. Which is greater: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/18)\/((-2)\/(-23526)). Suppose 4*t + 14158 = -p. What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19794)\/(-10) - (-4 - (-51)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -0.5. What is the third biggest value in -5, 0.1, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 6*v**5\/5 + v**4\/12 - v**3\/3 + v**2\/2 - 3*v. Let r = 1 + 0. Is 9 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 34. Find the common denominator of ((-298)\/112 + 1)*f and 81\/22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/12*1)\/((-8)\/16). Is -1.4 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1003*m**2 + 2778.\nAnswer: 2006*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**6\/360 + n**5\/180 + n**4\/72 - n**3\/18 - 7*n**2\/2 - 8. Let v(z) be the second derivative of j(z). Factor v(u).\nAnswer: -(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -83*l + 20. Let o(d) = 1080*d - 270. Let r(x) = 2*o(x) + 27*u(x). Let j(b) = 6*b**2. What is j(r(v))?\nAnswer: 39366*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((162\/204)\/(-9))\/((-6)\/8)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5081119815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g + 2 - 1 + 97*g**2 - 43*g**2 + 4*g. What are the prime factors of s(1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 + 9*w - 69. Let f(i) = i**2 - 2*i + 17. Let h(k) = 9*f(k) + 2*z(k). What is the remainder when (3 - -40)\/(-2 - -3) is divided by h(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -722\/7 - -103. Let j = -57 - -57.2. Let d = 3 - 3.3. What is the biggest value in l, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**2 - 11*n - 160. Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from tutuuuntqtt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12734995 and 86\/96885.\nAnswer: 114614955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - 135*p**2 + 38*p + 140. Determine o(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02787 + 91550.411.\nAnswer: 91550.43887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 - w + 1. Let z(f) = 5*f**2 + f - 6. Let q(b) = -4*i(b) - z(b). Suppose -7*v + 8 - 22 = 0. What is the units digit of q(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -1\/6*q**4 + q**2 + 1\/30*q**6 - 5\/3*q**3 + 4\/25*q**5 + 0 + 0*q + 1\/525*q**7. What is v in y(v) = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-28)*20 + -3)\/(2\/14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 2}. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 19*d. Calculate w(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 6, 2, -83, -0.18, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -187*a**2 + 152*a - 395. What is t(4)?\nAnswer: -2779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-346*i - 285*i + 54*i)*(2*i**3 - 3*i**3 + 2*i**3).\nAnswer: -577*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 + (1 - 2). Let x = z - 0. What is the first derivative of 0*n**3 + 2*n**3 - x + 0 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210851 divided by -1234.\nAnswer: 210851\/1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.713531 rounded to two dps?\nAnswer: 6.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Does 12 divide (-92)\/(-4) + h + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - v + 911, 5*q + 0*v - 905 = 5*v. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12256 - -12256.00017264. What is p rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (3 - 6) + (-1 - 9). Let q be 142\/(-270) + k\/162. Let y = -0.06 - -0.06. Which is the second biggest value? (a) y (b) -19 (c) q (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/8*4\/27. Sort 0, -3\/7, n in descending order.\nAnswer: n, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 15*f - 1214 = -2*k, 604 = 2*f + 4*k. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - d = -2*q - 7, 0 = 4*q + d - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.036 - 20.036. Let q = -138.73313 + 118.733141. Let c = k - q. Round c to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 58*u + 4*u**2 - 10 + 0*u**3 + 0*u**3 - 4*u**3 - 63*u. Is 22 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:07 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -8, -4 in decreasing order.\nAnswer: 2, -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1148 or 1152?\nAnswer: 1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471277?\nAnswer: 471277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 5. Let g be z(6). Suppose y - 2*y + g = 0. Solve -5*h + y = -9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(g + 4 - 4) + (-2*g - g + 0*g)*(-3 - 2 + 3).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78257.98l to millilitres.\nAnswer: 78257980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 10*i + 2. Let d be b(10). Suppose d*u - 5*f - 23 - 1 = 0, -5*u = 3*f + 2. Solve -u*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 393?\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/5)\/((-12)\/50))\/((-138)\/(-58995)*-15)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1021?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + o. Let u be j(-1). Solve -u*v - 2 - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8334, 8099, 7708, 7161, 6458, 5599, 4584?\n\"Answer: -78*q**2 - q + 8413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - m - 5917 = 0, 0*h = 4*h - 2*m + 5914. Let o = h + 2309. What is o rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c5 - -4?\nAnswer: -1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39366\/13*s - 1062882\/13 - 486\/13*s**2 - 2\/13*s**3 = 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from rrrrrooooooorzer?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 88024.9+1740.366284\nAnswer: 89765.266284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**6\/3 - 16*d**5\/15 - 11*d**4\/9 - 16*d**3\/27 - d**2\/9 - 19. Factor u(l).\nAnswer: -2*l*(l + 1)**2*(3*l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1411115 divided by 4.\nAnswer: -1411115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -4, 16, 34, 44, 40, 16?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 942473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let u = -7\/10 + 6\/5. Which is the closest to -0.1? (a) u (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (2 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - y + 160 + 87 = 0, 3*n + 4*y = 138. Let u = n + -45. Suppose -15 = -4*v + u. Is v > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 58386?\nAnswer: -58381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21166 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + -0.92. Let u = x - -1.6. Let r = 4.6 - u. Which is the nearest to 2\/3? (a) -2 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/13)\/(3\/6*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4951, -4873, -4801, -4735, -4675, -4621, -4573?\nAnswer: -4531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1.4, -6, 2, -5, -15?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -27.5. Let t = 29.033 + f. What is t rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(7) - sqrt(49)\/sqrt(7)) - (sqrt(63)\/(sqrt(9)*-2) + -5 + sqrt(14)\/sqrt(2)).\nAnswer: -sqrt(7)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + sqrt(891))*-6)**2*-4 - (5*(1*sqrt(176))**2 - (sqrt(44)*-1 - (-1*sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(6))).\nAnswer: -129668 + 4749*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1448 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**4 + 24*h**3 - 25*h**2 - 42*h - 6. Let i(q) = 20*q**4 - 95*q**3 + 100*q**2 + 175*q + 25. Let l(b) = 6*i(b) + 25*s(b). Factor l(v).\nAnswer: -5*v**2*(v - 5)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(2\/35)\/(w\/w**0)**(-20) assuming w is positive.\nAnswer: w**(3504\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7053 = -2*i + 2533. Suppose 15968 - i = 25*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122 by -5.\nAnswer: -122\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226935113.\nAnswer: 226935113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeabaeeeeeberaeeaaa. What is prob of sequence ae?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 112*y + 113. What is n(-17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**2 + 3*d + 1. Let g = 19 + -12. Suppose 4 = -g*t + 3*t. List the prime factors of s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3752 not equal to -3751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from dmnndde?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/52398 and -49\/14058.\nAnswer: 576378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, 42, -4, -56 in ascending order.\nAnswer: -56, -24, -4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1362\/4)\/(216\/1872)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -11, -4, 5, 16, 29?\n\"Answer: y**2 + 2*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**2*b**2 - 11*a**2*b - 3*a + 2412*b**2 wrt a.\nAnswer: 20*a*b**2 - 22*a*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -72.113. Let u = 269.677 - 292.69. Let m = u - c. Round m to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/154)\/(15\/(-903)))\/(4\/20).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 76. Suppose -2*m + 1786 - 486 = 4*u, 975 = p*u + 5*m. Let t = -182 + u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 643118181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 949, 2138, 3803, 5944, 8561, 11654?\nAnswer: 15223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = -j - 4*j. What is the common denominator of 9\/8 and (-20)\/(-50) + 542\/j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23 + 23 - 3*a**3 + 6*a**2 - 42. Let w(i) = -2*i**3 + 5*i**2 + 3. Give 5*u(q) - 6*w(q).\nAnswer: -3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 - 4*q**2 + 35*q + 80. Determine c(5).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 8. Let q be p(-6). Suppose q = o - 1. Suppose o*s - 10 = 3*y + 2*y, -30 = 3*y + 3*s. Let i(w) = -w**2 - 7*w - 1. Calculate i(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a - 51. Let r be j(27). Calculate the greatest common divisor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 4. Let a(w) = -9*w + 12. Let x(d) = 4*a(d) + 11*h(d). Let k = -113735 + 113728. Let j(u) = -u + 1. Give k*j(p) + 2*x(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/12 - (-7)\/(-42). Suppose 0 = -x*a + 56 + 1460. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 3*b**2 + 7*b + 23. Give r(7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -481666124 smaller than -481666127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 3*a**3 + 210 - 7*a**3 + 105.\nAnswer: a**3 + 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 - 30 = 42*q - 251 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 305492589 a multiple of 3555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -914\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + w - w + (3 - 1 - 4)*(w - 2*w + 2*w) + w - 2*w - w - 3 + 3 + w + 2*w - w - 2*w + (1 + 2 - 1)*(-6*w + 0*w - w).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 5*o - 0*o - 4*w, 0 = -4*o + 3*w + 129. Solve 34*i = o*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {k: 2, b: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2610)\/(-160)*(-4)\/6 and -4\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:08 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhchhuchhhhhcuucuc. What is prob of sequence hcc?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**9\/6048 - f**7\/2520 + f**6\/720 + 11*f**5\/60 + 10*f**2. Let z(d) be the third derivative of w(d). Determine z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102ac (base 15) to base 6\nAnswer: 1033113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:22 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 2.1204.\nAnswer: 16.1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 12*w**3 - 29*w**2 - 3*w + 2. Find the first derivative of f(h) wrt h.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -2, -1206\/11?\nAnswer: -1206\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1610330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250907036 and 2114.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -170666979 divided by -1\nAnswer: 170666979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -38*a. Let n(o) = -o**2 - 3*o - 3. Suppose 16*g = 36 + 12. Let s(h) = h + 1. Let u(q) = g*s(q) + n(q). Determine v(u(j)).\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 9:36 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) 536 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, 3, 40, 5, 0.3 in descending order.\nAnswer: 40, 5, 3, 4\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(15*10\/(-90))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 63 = -4*v. Suppose 5*i - 5*b = -65, 2*b + v = -5*i - 56. Let n(z) = -z**3 - 12*z**2 + 10*z - 15. Let q be n(i). Solve 4*w + q = 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7667 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2308242 (base 9) to base 16\nAnswer: 13036d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 3*k**2 - 292*k - 582. Give c(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224110802*d - 147264254 with respect to d.\nAnswer: 224110802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(4\/(-30)*5). Suppose g - 1579999 = m, 0 = 3*g - 0*m - m - 4739999. Suppose -n*l + g = -4*l. What is l rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*(-405)\/(-600)*36\/(-9).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, u: 1, s: 1, b: 2, x: 1}. What is prob of sequence ub?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/4 - 15*x**4\/4 + 11*x**3\/4 + 711*x**2\/4 + 931*x\/2 + 294 = 0. What is x?\nAnswer: -12, -7, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let g = -2.4 - -0.4. Let s be (-3611)\/(-36738) - 4\/(-72). Which is the third biggest value? (a) g (b) s (c) k (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57440711*u**4 - 39*u**2 - u - 35871?\nAnswer: -1378577064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 56. Let b = 16 + d. Solve -m + 6 = -5*j - b*m, 5 = -j - 4*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 5690*d - 22767. Calculate r(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47543.4 + -47543. Put -1\/20, 8, 0.2, l, 0.1 in descending order.\nAnswer: 8, l, 0.2, 0.1, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2173 - 2172.999986608. Round n to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + (23 - 24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 0, 18, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -3*z**4\/4 - z**3 - 5*z**2\/2 - 285. Let m(i) = -7*i**3 - 7*i**2 - 11*i. What is 5*k(a) - 2*m(a)?\nAnswer: -a**3 - a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*k**3 + 111*k**3 + 22*k - 4*k + 16*k - 28*k**3.\nAnswer: -2*k**3 + 34*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j + 124. Determine x(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*g + 803 = 0, -g + 0*g + 4 = 0. What is the lowest common multiple of 119 and j?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11831849 greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*g + 8, -4*m - 3*g + 16 = 2*g. Let u = 554 + -559. Put -40, m, u, -3 in ascending order.\nAnswer: -40, u, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = -112. Is p a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 19 (b) 3\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48.873748647102 from 0.\nAnswer: -48.873748647102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 643632077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/78 - (-10)\/65)*0. Solve 3*y = -q*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/120 - g**5\/60 - g**4\/8 + g**3\/2 - 24*g**2. Let a(r) = 2*r**2 + 2*r - 1. Let k be a(-2). Is 12 a factor of h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + 1*63\/(-7). Solve z - 3 = -2*x, 0 = -5*z + a*x + x + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 8927735.2059?\nAnswer: 8927735.7059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*q - 18 + 3*q**2 + 32*q + 41*q)*(q + 3*q + 4*q).\nAnswer: 24*q**3 - 40*q**2 - 144*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2452 = -4*y, 4*y + 9 = 1. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (-7 - (1 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 u, and 1 g when four letters picked without replacement from {g: 2, l: 8, y: 1, k: 2, u: 1}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320742292 to the nearest integer?\nAnswer: 17909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12392 - -12197. What is the nearest to 2\/3 in -3, 2\/19, b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 2*q. Let h(r) be the third derivative of 4*r**5\/15 - 11*r**4\/24 - 32*r**2. Let j(y) = 2*h(y) + 11*s(y). Let g(d) = 2*d**2. What is g(j(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-126)\/(-15) + 2\/(-5). Suppose m - x = -n, 0 = n + 2*m - 4 - 0. Calculate the greatest common factor of n and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.15 * 13\nAnswer: -209.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 1, v: 4, j: 1, n: 2}. Give prob of sequence gn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 328, 329, 330, 331?\n\"Answer: w + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = 10*d - 345 - 40. Let i = 13 + 4. Suppose -7 = -s - l, -3*s + 6 = -5*s + 2*l. Solve s*g - d = -i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 0*g)*(5 - 6 + 1 - 155*g)*(-6*g - g - 4*g)*(-4*g**2 + 5*g**2 - 3*g**2).\nAnswer: 13640*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 370. Let o be 35\/10 + (-2)\/4. Suppose -o*t - i = -5*t. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5152 (base 7) to base 8.\nAnswer: -3411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -138724?\nAnswer: -124851.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - ((sqrt(13) - sqrt(1872)*-1)**2 + sqrt(13)) - sqrt(13))*2.\nAnswer: -26364 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 11 = -35. Suppose -158 = -3*u - i. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 16. Let b be ((-8)\/w)\/((-1)\/6). Is 17\/10 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 3)\/(1\/(-4)). Suppose u*c - 43 = 65. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 203, 305, 407, 509, 611?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llh when three letters picked without replacement from lblmbhmbb?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m**2 + m + 5. Let a be q(0). Suppose -a*y - 28 = -4*c, -5*y - 29 = -2*c - 5. What is the highest common factor of 16 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 7 = -2*m - 0*m, -1 = 4*t - 3*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2801263857 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-2 + 4) + 0. Let k(b) be the third derivative of -b**5\/60 + 7*b**4\/24 + 2*b**3 - 26*b**2. Is 22 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - 1 - 2*n**2 - n**2)*(0 + 7 + 2*n + 15) + (-n - 1 + 1)*(3 - 3 - 2*n**2) - n**3 - 2*n**2 + 2*n**2 in the form b*n**2 + f*n**3 + v*n + o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*n - 26, 0*f - 5*n = 4*f - 47. Let m(p) = f + p + 7 - 1 - 2*p + p**3. Determine m(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/2 + 2*p**3\/3 - p - 234. Let s(f) = -f**3 + 8*f**2 - 7*f + 1. Let u be s(7). What is c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - (3 + 2 - 10). Let h(o) = -4*o - 6. Let u be h(s). Let g(j) = -j**3 - 7 + 2*j + 6*j**2 - 2*j. Give g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftftfft. What is prob of picking 3 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 = 37. Let t = 25 - n. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 50*l**2 + 16*l + 386. What is the ten thousands digit of s(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -145*y**3 + 1313*y**2 - 130*y + 599. Determine x(9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpllllldpxxd. Give prob of picking 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -1\/4*p**4 - 1 + 0*p + 1\/2*p**2 + 0*p**3. Let a(y) = -7*y**3 + 10*y**2 - 5*y**2 + 3*y + 3*y - 3*y**2. What is -a(h) + 6*t(h)?\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (7 + -18)) + -5 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -4285.\nAnswer: -4285, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Suppose 24*q - 27*q + 33 = 0. Let t(r) = r**2 + 0*r**2 - q*r - 4*r**2 + 10*r. What is t(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 15. Let k(s) = -23*s - 103. What is the tens digit of k(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 48. Suppose -2*f + 3 = j, 3*f - 20 + 5 = 2*j. What is the nearest to f in -0.5, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + (8 - 6))*27 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2008352*l**3*m**2 + 9*l**3*m + 21265*l**2 + 2*l*m**4 + m + 2 wrt m?\nAnswer: -4016704*l**3 + 24*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832392184.\nAnswer: 2, 13, 47, 170293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12e + -61bae?\nAnswer: -61cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255 and 3723.\nAnswer: 18615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w*w**(-1\/12)*(w\/(w*w**(-1\/5)))\/w*(w\/(w*w**(-8))*w)\/(w\/w**(-1\/13)) assuming w is positive.\nAnswer: w**(8611\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*z + 5*z. Let k(h) = z*h + 11 - 5*h + 1 - h**2. Let n be k(0). Solve -4*g + 0*j = 3*j - n, -g = -5*j - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336076363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141344359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -131\/4 (c) 0.2089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1010\/27876*(-2)\/(-20)*6\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.55, 0.5, -0.00125, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l - 7. Let y(i) = 2*i - 7. Let u be y(7). Let x(b) = 7 + u - 5*b - 10. Calculate 3*q(j) + 5*x(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 + 3*g**2 - g + 15. Let p be d(3). Suppose 37*f - 13*f = p. Solve -2*m + i - 5 + 4 = 0, 2*i - 4 = f*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/60 + c**4\/3 + 3*c**3\/2 + 29*c**2. Let o(v) = -3*v**2 + 41*v - 17. Let d be o(13). Calculate k(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/246272 and -83\/21164.\nAnswer: 2708992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65926529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -494, -495, -496?\n\"Answer: -d - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 - 42 - 4*t**3 + 41 - 24*t**3.\nAnswer: -59*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 9*d**2 + 9*d - 29. Is p(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -672, -709, -774, -879, -1036, -1257, -1554, -1939?\nAnswer: -2424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5266588160 to the power of 1\/3, to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(455\/78) - (-2 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.1. Let l = 4753124.8999946 - 4753124. Let q = r - l. What is q rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 7, h: 3, q: 1, l: 6}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {e: 4, l: 6, o: 1, g: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*t + 55, d - 53*t = -59*t - 53. Let f = 5 + 67. Sort 3, f, d in ascending order.\nAnswer: d, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**22\/r)\/r*r)**(-34))**(-1))**16)**17 assuming r is positive.\nAnswer: r**194208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbqt. Give prob of sequence bt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*u + 17986 = 0, -h + 7627 - 1645 = 4*u. What is the remainder when h is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-240))\/((-4)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 54830 to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010004102 (base 5) to base 6.\nAnswer: -111314213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1*(10*-1)\/((-18)\/(-135)) and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)\/(d\/d**(-2\/3))*(d\/(d\/d**(-1\/2)*d*d))**(-30)*((d*d**1)\/d)**4\/(d**0)**(-1\/30) assuming d is positive.\nAnswer: d**(467\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 9\/73, -1, 5 in descending order.\nAnswer: 5, 2, 9\/73, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14600 + 14597. Let g(l) = 2*l**3 - l**2 + 11. Determine g(t).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*x + 12 + 2, -4*u + 3*x = 0. Suppose -a = 4 - u. Let y be (7 + -2)\/((-1)\/a). Sort 3\/4, -3, y in increasing order.\nAnswer: -3, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1566*a**3 - 3314*a**3 - 1352*a**3.\nAnswer: -6232*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - z - 21 = -4*v, 4*z = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8473 + 18430 = -210*r + 2422 + 2431 for r.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q - 3. Let s be w(-5). Let k be 1\/3 - (s - -3). Which is the nearest to -0.2? (a) -2 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.4 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1396, 4992, 10858, 18994?\nAnswer: 29400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 8*v - 11. Suppose 0 = -3*s - 4*i - 27, 3*s - i + 6 = 2*i. Is 8 a factor of x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2132*s - 2116*s = 14672. Is 920 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 94. Let g = 243023 - 242287. What is the greatest common factor of h and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = u + 3*n + 38, 0 = 4*u + 4*n - 704. Suppose 171*g = u*g - 72. What is the remainder when 67 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15131, -15233, -15325, -15401, -15455, -15481, -15473?\n\"Answer: o**3 - o**2 - 106*o - 15025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-2*g + 0*g + g) + (3 - 5 + 3)*(0*g + g - 2*g) + 4*g - 14*g - 5*g to x + u*g and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/973709 and -55\/6477?\nAnswer: 2921127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 450041 != 4050382\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62678141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-45)*4*12. Let t(s) = -s**3 + 9*s**2 + 11*s - 14. Let r be t(10). Let a be r\/8*(-7 + 1). Solve -4*h - a*c = -1, c = 2*h - 3*c + o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 326, 0, 2 in descending order.\nAnswer: 326, 2, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 1219919?\nAnswer: 1219915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 9 - 1. Calculate the remainder when ((-2146)\/(-87) - 28)*(-3 - 0) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**6\/540 + c**5\/270 - c**2. Suppose a(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -12*3\/24*(-2)\/1. Solve -3 = -3*w + 4*w - x*t, 0 = -4*w + 5*t - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 + -50?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 93*u**2 - 452*u + 45. What is z(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**6\/120 + k**5\/12 + k**4\/6 - 7*k**3\/6 - 17*k**2 + 18*k + 2. Let z(v) be the first derivative of o(v). Calculate z(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -1.3, 6\/23, -0.5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 36*d**3 + 2*d**2 - 4*d - 77. Let g(a) = -19*a**3 - a**2 + 2*a + 36. Calculate -13*g(m) - 6*y(m).\nAnswer: 31*m**3 + m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35544.4247 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5350*j - 116 - 28*j**4 - 5350*j with respect to j.\nAnswer: -112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17893326?\nAnswer: 2, 3, 11, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -60a2 (base 12) in base 7?\nAnswer: -42404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*z**3 + 5488\/3 + 392*z + 28*z**2 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfeoeefkeufwwewfke. What is prob of sequence okw?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3328) + -2*sqrt(3328)*1)*2)\/(sqrt(16)*3 - sqrt(36)\/(sqrt(9)*-2)).\nAnswer: -32*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*j = -14 - 15, -3*j = 9. Let y be 2 - (2 - (3 - d)). Let p = 3 - -1. Calculate the highest common factor of p and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93459247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 10:45 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + -0.41. Which is the second smallest value? (a) -3\/4 (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6084, -10616, -15016, -19218, -23156, -26764, -29976, -32726?\n\"Answer: 11*w**3 - 4609*w - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20 = -b - 0*d, -5*d - 30 = 4*b. Let k = b + 16. Let g(r) = 2*r - 7. Let l be g(5). Solve -l*p = -p - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15\/(-1))\/(17\/(-153))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1048 - 1050. Sort -5, -0.2, b, -58, 0 in ascending order.\nAnswer: -58, -5, b, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 3\/(-1) - -4. Suppose b*p - 84 = -p. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*y + 12, c - 4*y - 13 = y. Suppose 2*k = c*v - 9 - 2, 4*v + k = 0. Calculate the smallest common multiple of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -29, -3, 17, 5, -4, -2 in increasing order.\nAnswer: -80, -29, -4, -3, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.044 in -0.1, -2\/3, 1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 2*b - 2. Let x be y(-6). Suppose -24*u + 18 = -x*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 23*s**2 - 3*s**3 - 2*s**4 + s**3 to y*s + i + r*s**4 + v*s**2 + n*s**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13*12*2\/(-104). Put g, 4, 178 in decreasing order.\nAnswer: 178, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 58886377?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*d = -493*d + 580106. What are the prime factors of d?\nAnswer: 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 4)*(-1 - 2*l**5 - l**5 + 2*l**5).\nAnswer: 11*l**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1048431, -2096404, -3144377, -4192350, -5240323, -6288296?\n\"Answer: -1047973*u - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (14 - 1 - (-242 - -303)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120916486.\nAnswer: 2, 29, 2084767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -114. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 6*q**2 + 3*q. Let l(y) = y**3 - y**2 - y. Let j(c) = a(c) + 6*l(c). What is o in j(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.17 times 845?\nAnswer: -98163.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-70))\/((-2)\/(-30)). Suppose h - 171 = -v, -j*v + 201 = 2*h - 136. 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 -626800 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99448433 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -40.39 and 4.\nAnswer: -36.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(99) + (-1*(sqrt(11) - (-1 + sqrt(11))))**2.\nAnswer: -9*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 19*r**2 - 44*r - 149. Calculate u(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21121 (base 4) to base 12\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-35 - (-13 - (-6 - -2))) + 12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 * 211\nAnswer: 548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4309428, -8618864, -12928300, -17237736, -21547172, -25856608?\nAnswer: -30166044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -1.3. Let d = -1 - n. Which is the third smallest value? (a) -1\/2 (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (62 - 1224\/34) + -23. Factor 4\/3*g**p - 32\/3*g - 16 + 20\/3*g**2.\nAnswer: 4*(g - 2)*(g + 1)*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -10. Let g be (-2*15\/w)\/(-1). Let y be (5\/5)\/(2\/(-8)). Put 0, y, g in increasing order.\nAnswer: y, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from xrwdsss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7590 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 241*j*q**2*u + j*q**2 + 890*q**2*u - 2*q**2 wrt j?\nAnswer: 241*q**2*u + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1343.631 millennia to years.\nAnswer: 1343631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -2. Let h = -3 - c. Let y = 0 - h. Sort y, -1\/5, 0 in decreasing order.\nAnswer: y, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(3\/35)))**(9\/10)\/(b**(-2\/51))**(-23) assuming b is positive.\nAnswer: b**(-17477\/17850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**3 + 6*o + 4*o - 8*o - o - 2*o**2 as m*o + r*o**2 + z*o**3 + t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459100, 919048, 1378996, 1838944, 2298892?\nAnswer: 2758840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21520938403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3820*m + 4 = -3819*m, -6*m - 64 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 - b**2 + 2*b**2 + 4 + 6*b**2 to the form r*b**2 + t + n*b and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2506862*h**3*w + h**2*w - 37*h**2 - 107*w wrt h?\nAnswer: 15041172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 1 + 8. Let f be (7\/(-2))\/(u\/6). Suppose 3*y + f = 4*y. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/24 - 2*z**2 + 4*z + 1041. Let i(a) = -10*a + 9*a + 13*a. Calculate f(i(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125774 and 34166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70418.\nAnswer: 2, 137, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612981 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: b\"What is the vth term of 2049, 2047, 2045, 2043?\n\"Answer: -2*v + 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, z: 5}. Give prob of sequence zdz.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31299253 to the nearest integer?\nAnswer: 5595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -24. Let m = y + -13. Solve 2*r + 3 = m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-3))\/(-32)*-2 + -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 124332473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-2 - -95517)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8120046 times -0.02\nAnswer: -0.016240092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21881*t - 436*t**2 + 30246*t - 20621*t + 16018*t + t**3.\nAnswer: t*(t - 218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 5*s + 11. What is r(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -57. Let b = m + 41. Let u(q) = -2*q**3 - 2*q**2 - 1. What is u(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4491, 6307, 9333, 13569?\n\"Answer: 605*q**2 + q + 3885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Let i = c - -1. Suppose -5*m + 3*m - 10 = 0. What is the nearest to -1\/4 in m, 2\/7, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + g. Let m be u(1). Let f be ((-5)\/m)\/((-1)\/(-1)). Let y = -1127\/24 + 47. Is y bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 - 419648*y**2\/9 - 839288*y\/9.\nAnswer: -2*y*(y + 2)*(y + 209822)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1693? (a) -0.09 (b) -0.5 (c) 2 (d) 0.3 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 17*d**2 + 18*d - 31. Let k be p(16). Find the common denominator of k*(-3)\/(-10)*1067\/(-33) and -25\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {b: 7, w: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079970?\nAnswer: 2, 5, 207997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360214.\nAnswer: 2, 2180107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {k: 3, g: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 449?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4564*i + 5174. Let m(r) = 4542*r + 5173. Let x(p) = -2*f(p) + 3*m(p). Find the first derivative of x(q) wrt q.\nAnswer: 4498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*v, v = -0*u + 3*u - 11. Let g be (u\/(-4))\/((-3)\/24). Suppose -g*a + 1 = -3. Let n(d) = -d + 2. Let w(y) = y + 1. What is a*w(p) - n(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 21. Which is the second smallest value? (a) 3 (b) o (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (2 + -40 - 3). Let l = 44 - x. Let i be -5 + 1 + (l + 1582)*22. What is i rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2. Let g(h) be the second derivative of h**4\/12 + 41*h**3\/2 - 379*h + 4. What is g(x(y))?\nAnswer: 16*y**4 + 492*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {u: 2, h: 6, n: 1, t: 1, c: 1, e: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 5*o)*((o - 2*o + 4*o)*(4 - 3 - 3) - 4*o - 2*o + o) + 3*o**2 + 4*o**2 + 19*o**2.\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4155015, -8310032, -12465049, -16620066, -20775083?\nAnswer: -24930100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0*f**5 + 0*f**3 + 1\/2*f**4 + 0*f**6 - 4*f + 0 + 0*f**2 + 1\/21*f**7. Find the third derivative of l(a) wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 - 7. Let c be (-6)\/((6\/(-4))\/(-3)). Let m be ((-18)\/c)\/((-30)\/(-16)). Sort m, -2, o in descending order.\nAnswer: m, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818216753?\nAnswer: 3, 149, 4067599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2. Let t(w) = 36*w. Let g(o) = -7*o. Let f(j) = 16*g(j) + 3*t(j). Let h(n) = n. Let l(d) = -f(d) - 3*h(d). Give v(l(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + q = -412, -226 = -5*f - 4*q + 176. Suppose i + 0*i + 142 = 5*t, -3*t = i - f. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -5*k**3\/3 + 3*k**2\/2 - 7*k - 1. Let x(a) = 3*a**2 - 2*a + 4. What is 4*p(s) + 7*x(s)?\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -72, -109, -170, -261, -388, -557, -774?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-10))\/(45\/(-60)). Which is the closest to o? (a) 4 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p**3\/5 - 3612*p**2\/5 + 940854*p\/5 - 72352\/5 = 0 for p.\nAnswer: -272, 1\/13, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60.1 - -60. Let y = -0.2 + -0.8. Which is the nearest to j? (a) y (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p + 30. What is the hundreds digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:47 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1972, -1963, -1956, -1957, -1972, -2007?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 16 = s - 0*s, -s = -o + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - v - 5*v + (10 - 5*v - 10)*(-10 + 0 + 4) + 2 + v - 2 + 0*v + 2*v - 4*v + (-4 + 4 - 2*v)*(-5 + 3 + 0) - 2*v + v + 2*v to s*v + k and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose -6*k + 5*k + 41 = f. Suppose -3*v + 2*p + 47 + k = 0, -4*p = 2*v - 32. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 109649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, -1134, -4, 0.1?\nAnswer: -1134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -115.61. Round n to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-1 + -10)*-1. Let y be ((-2)\/10*4)\/((-1)\/5). Suppose 432 = 5*u + y*u. Calculate the highest common divisor of b and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + 0 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3\/7, 0.06, 2 in ascending order.\nAnswer: -10, 0.06, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 16*y**2 + 23*y - 8. Let k = 32 + -15. What is the remainder when j(k) is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 57?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - 6. Let x(r) = -98*r**2 + 145. Let p(z) = 33*z**2 - 50. Let s(d) = -8*p(d) - 3*x(d). Calculate -35*a(f) + 6*s(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2300353*b**3 - 1702736*b.\nAnswer: -13802118*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-179)\/(42960\/(-768)))\/(56\/(-770))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p**2 + 733 - 733. Let y(q) = 1 + 660*q**2 - 1 - 656*q**2. Calculate c(y(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 105703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 1, z: 4, l: 2, n: 1, u: 4}. Give prob of picking 1 l, 1 u, and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(500) + sqrt(30)\/sqrt(6)*5.\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**2\/2 - 144*j + 9190. Let l(f) = -23*f**2. What is l(v(n))?\nAnswer: -23*n**2 + 6624*n - 476928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -t + 48, 4*t + 4*c = -t + 316. Let v be (4\/5)\/(8\/t). Suppose 5*a = 5*p, v*a - 36 = -4*p + a. Solve -28 = -p*z - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**2*z**9*z**3\/z**(-1\/8) assuming z is positive.\nAnswer: z**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*b + 7290 - 24105 = -261*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 219*t + 1. Let o = 737 + -739. Let d(i) = 5*i**2 + 2*i + 2. Let r(c) = 2*c**2 + c + 1. Let m(a) = o*r(a) + d(a). Give m(q(f)).\nAnswer: 47961*f**2 + 438*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7*f - 4*w = 1484, -f + 3*w = -379. Let q = 2573\/7 - f. Let s = -0.01 + 2.01. Sort s, q, 1\/4 in decreasing order.\nAnswer: s, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:21 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4632*d - 4608*d = -192 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 259 - 518 = o - 5*o - 247, -2*o - 16 = 2*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -5\/12*a**4 + 0*a + 0*a**3 + 1\/20*a**5 + 0 + 6*a**2. Find the second derivative of m(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -54 (b) -0.1 (c) -0.08 (d) -1\/4 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 236.92074 from 0.6.\nAnswer: -236.32074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18.2 in 1866, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 217 = -3*b, -4*r + 150 + 6 = 2*b. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -15*f**2 - 59*f + 7. Suppose w + 4*q - 11 = 0, -4*w - q + 4*q + 6 = 0. What is the smallest common multiple of m(-4) and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1921\/12 - -160. Let k be 4\/6 - 0 - 704\/192. Which is the nearest to -1\/2? (a) p (b) k (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1, 2\/5, -406?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + -0.5. Let t = f + 1.29999996. What is t rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*y = -3*c + 1, 15 = 4*c - 3*y. Let s(j) be the second derivative of 0*j**c - 1\/8*j**2 + 1\/48*j**4 + 0 - j. Factor s(f).\nAnswer: (f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k - 10*k - 445*k**3 + 127*k**3.\nAnswer: -318*k**3 - 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*p**4 - 171*p**3 - 225*p**2 - 129*p - 27.\nAnswer: -3*(p + 1)**3*(16*p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 + 45*m**2 - 15*m**3 - 246*m**2 + 92*m**2.\nAnswer: -m**3 - 109*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d - 4. Let q = -29 + 35. Let r(m) be the third derivative of -m**4\/3 - m**3\/3 - 5*m**2. Calculate q*h(y) - 11*r(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) - (sqrt(2057) - (3 + -2 + sqrt(2057)))) + sqrt(2057) - sqrt(2057) - sqrt(2057))**2 - sqrt(2057))*1.\nAnswer: -11*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 + 190. Let p(b) = b - 8. Let h be p(8). Solve h = -2*q + w + u, -5*w - 19 = -5*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 36*x + 261. Let w be b(-6). Solve 120*i - w = 105*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -0.007389281?\nAnswer: -6.992610719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 2, z: 2, g: 2, d: 9, l: 4}. What is prob of sequence zpd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 13*i + 3. Let w be y(-10). Suppose 2*a = w + 3. Suppose 0*n - 4*q + 2 = 3*n, n - 3*q = a. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*f - 11*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 13) + -5 + 21 + 7 + (-20 - 12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -4, 12, -3 in increasing order.\nAnswer: -10, -4, -3, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38508\/133 - -2026\/7. Sort -2, 0.18, o, -0.1, 5.\nAnswer: -2, o, -0.1, 0.18, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.91.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -483?\nAnswer: 20\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)\/(-2)*((-1147458)\/8319 - -138)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 9. Calculate the common denominator of h + 5 + 63\/66 and -67\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2548 - 787 - 6*d**2 + 10*d**2.\nAnswer: 4*d**2 + 1761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((-48)\/(-225))*(-18)\/27. Suppose 7*j - b = 24. Solve -7 = j*v - 0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626929 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 10*t**2 - 13*t + 10. List the prime factors of s(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91944 + -459711\/5. Let z = 2 - 1.5. Which is the closest to -0.2? (a) z (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -54*j - 247. Calculate r(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.830875 centuries?\nAnswer: 88.30875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - o + 3)*(-o - o - o) + 10 + 7*o**2 - 10 to the form t*o**2 + v + d*o and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 33 + 9. Let t(w) = -w**3 + 15*w**2 - w + 6. Suppose q - 4*h = 5*q - 68, 0 = 2*h - 4. Let d be t(q). Which is greater: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121 and 0.0003.\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pskkss. Give prob of sequence sps.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -1\/12*n**4 + 0*n + 0 + 0*n**3 + 0*n**5 - 6*n**2 + 0*n**6 - 1\/42*n**7. What is the second derivative of k(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3114961 is divided by 791.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8228)\/(-33) + (-56)\/42.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = -6*p - 4, -501*f + 504*f - 4*p = -19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -25*t**4\/12 - 13*t**3\/3 + 1359*t**2 - 161*t + 1. What is the derivative of d(r) wrt r?\nAnswer: -50*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/16*(1*-3 - (-100)\/(-60)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/90 + u**5\/10 + u**4\/3 - 2*u**3\/3 - 2*u**2. Let b(d) be the first derivative of t(d). Find q such that b(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/42)\/((9265\/(-238))\/109).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000688 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 7. Let k be o(-9). Let x(u) = -5*u - 3 + k*u + 5*u. Let d be x(4). Solve d*g + 5 = -5*w, 2*g - 3*g - 3*w = 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 23*y**2 - 23*y + 30. Let j be v(22). Solve 0 = 3*g + 2*i - 4, -3*g - 4*i = -7*g - j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37394082 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527*m = -1679*m + 4412. Factor m*v**2 + 0 - 1\/3*v**4 + 5\/3*v**3 + 0*v.\nAnswer: -v**2*(v - 6)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019649259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -3*z, -2*r = z - 10 - 3. Suppose 5*c = 5*f + z*c + 5, -8 = -3*f - c. Solve -2*x + x = f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21847854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 11*p = 28. Suppose 3*z + p*z = 990. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0139 and 40991.\nAnswer: 569.7749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)\/(v\/(v*v**(-2))))**(-2\/65)*(v**1)**(-37)\/(v*v**0)**(-22\/5) assuming v is positive.\nAnswer: v**(-2117\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 9\/40*o**5 + 0 - 3\/2*o**2 - 2*o + 1\/2*o**4 - 1\/4*o**3. Factor a(n).\nAnswer: 3*(n + 1)**2*(3*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 7376, -0.1, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -32, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 448 - 3635 - 5290*s**3 - 1476 - 4031*s**3 - 2958 wrt s?\nAnswer: -27963*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 9*b + 7. Calculate j(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1007008, -2013949, -3020890, -4027831, -5034772, -6041713?\nAnswer: -7048654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/35)*s*s*s*s)\/s**(4\/3))\/(s*(s*s*s*s*s**(-1\/8)*s)\/s)**(2\/107) assuming s is positive.\nAnswer: s**(158117\/44940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1517 - 28*c - 26*c + 33*c.\nAnswer: -21*c - 1517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.08, 2, 1.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -24.3. Let i = -1.241 - -1.411. What is the second smallest value in c, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 198. Find the first derivative of 101 + a + 0*i - 171 - i wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2057))*-2 - (sqrt(2057) - -3*(sqrt(2057) + 2)))**2.\nAnswer: 1584*sqrt(17) + 74196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:43 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.2 - -20.2. What is the second biggest value in l, -54, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2747979.\nAnswer: 3, 13, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/20)\/((-2)\/(-10)). Let v(y) = y**2 - 4. Let j be v(q). Solve 5*n + 20 = 3*p - 4*p, 4*p - 45 = j*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4794*b**2 - 4678*b**2 - 5 - 1)*(0*b**2 - 2*b**2 + 0*b**2) to the form q*b**4 + f*b + g*b**3 + h + u*b**2 and give q.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 15. Suppose -4*z - 23 = -3*c + l, 0 = -z + 1. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Let d = -244\/357 + 2\/119. Let n = 0 + 3. Put n, d, h in decreasing order.\nAnswer: n, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105103 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 17970.\nAnswer: 89850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 + 0)\/(-1))\/(-1). Let w = v - -4. What is the highest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 5564070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4 + 96400*g**3 + 42110*g?\nAnswer: 12*g**2 + 578400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -6*r + 706. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvqvvmqvwqvevvvvvlv. What is prob of sequence vvvm?\nAnswer: 55\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5140 divided by -1028.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104 + -35?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*r - 3*u - 277, 0 = 3*r + 2*u + 218. Let c = r - -152. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10443*z**2 - 31898940*z - 24359436300.\nAnswer: -3*(59*z + 90110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3200 and 3628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -2\/11 in increasing order.\nAnswer: -5, -2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbjbbjjbbb. Give prob of sequence jb.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 5*q - 2. Let w be i(3). Suppose -m - 8 = -5*b - 0*b, -m - 3 = 0. Solve -u - b = -w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 25. Let t be 105\/25 - i\/(-10). Which is the nearest to 0? (a) t (b) -0.4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11386833\/20 + 569343. What is the common denominator of (-371)\/40 - 4\/(-10) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.691 - 4.309. Which is the nearest to -2\/3? (a) -2.6 (b) 0 (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18091.\nAnswer: 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/3 + 69*t**2 - 9433*t\/3 - 10045 = 0 for t.\nAnswer: -245, -3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74083962 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 12*t**2 - 12*t + 269. Give p(13).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 19762.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*t + 68*t + 10400 = 0. What is the remainder when t is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3138 + -2155. Let c = -983.1053 + u. Round c to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 372199*r**3 - 10*r**2 - 6*r - 26. Let b be k(8). Let s = 106765174 - b. Round s to the nearest 1000000.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2866938*w**5 - 7528871*w**2?\nAnswer: -172016280*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Let m(y) be the second derivative of -y**5\/20 + 5*y**4\/12 - 6*y**2 - 252*y. Let x be m(i). Solve -l - 4*z = 15, -4*l + 2*l + 18 = -x*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at most 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssisisi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*3\/(30\/(-4)). What is the biggest value in j, -0.1, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -84.5. Let x = -25.651 + t. Round x to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h\/(h\/h**(2\/3))*h*(h\/(h*h\/(h**2*h)*h))\/h**0)\/((h\/(h*h**(-4\/11)*h))\/((h**(-2\/11)\/h)\/h)*((h**0\/h)\/h)\/h**(-1\/12)) assuming h is positive.\nAnswer: h**(1457\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*u - 7 + 108, -4*d = 5*u - 74. Suppose -4*b - 7 = 5, -4*b - d = 3*v. What is the tens digit of ((-120)\/18)\/(1\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:13 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 14*c - v = 13, 25 = 5*c - v for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 5*y + 12. Let x(z) = z**2 - z - 1. Let p(d) = j(d) + 3*x(d). Let v(u) = u + 18. Let s be v(-12). What is p(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1545264 by -24528.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 976*i + 1553*i - 10 + 38 to the form y + s*i and give s.\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2342, -9329, -20962, -37235, -58142, -83677?\nAnswer: -113834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - y + 0*y)*(8*y**2 - 11*y**2 + 8*y**2).\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.92. Let z = q - -5.08. Let j = -41.9 + 42. Put -2, j, z in ascending order.\nAnswer: -2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11000110101011000?\nAnswer: -11000110101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 371425452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 5 + 5 + (6 - 5 - 4)*(-2*y + 4*y - 3*y))*(1 - 1 - 2) in the form g*y + v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*a = 339*a + 332. Let z = a - 90. Let c(y) = -13*y**2 + 1. Let w(t) = 4*t**2. Give z*w(b) - 2*c(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 44*a**2 + 631*a + 988. Calculate i(-12).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*p - 1714609 = -1719531 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:58 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1427 + 128*x**2 + 1427 - 121*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-9)*n)*n\/((n\/(n*n**11*n))\/n*n))**(1\/7)\/((n*n*n*n*n**(-4\/3)*n)\/((n\/n**3*n)\/n)*(n**8*n)\/n*n\/(n**(-3)*n)) assuming n is positive.\nAnswer: n**(-284\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36321.831ns in weeks?\nAnswer: 0.0000000000600559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0)\/(126\/72). Which is the closest to -1? (a) p (b) 1\/4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*1096\/(-822)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*(1*sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76) - (1*sqrt(76)*2 - sqrt(76))))\/(4*sqrt(100)*-3*5).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 14.909 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36404 = 5*w, -3*w - 4*p = -0*w + 21832. What is w rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 9 = -28*f - 3*i, -4*f = -5*i - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3846536086 and -0.4.\nAnswer: -3846536086.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**3 + 10*f**3 + 8*f**3 + 0*f - f**4 + f**2 + 2*f as x*f**3 + u*f + g + j*f**2 + a*f**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1180 and 319.4.\nAnswer: -860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 40 = -9*s. Suppose -2*c = -3*r - 8, 2*c - r = -0*r + s. Suppose c*h - 12 = -2*p, 8*p + 5*h - 35 = 3*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 1. Let x(t) = 2*t**2 - 3*t. Suppose -38 = 3*y + 2*q, 0 = 3*y + q - 13 + 47. Let v be 3 - (2 + y)\/(-2). Calculate v*x(b) - 3*j(b).\nAnswer: -2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 22 - 6 = 0. Solve 0*y = -5*d + 3*y + 11, 0 = 4*d - 4*y - h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/34, 74, -10.2?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + 2 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 3*m - 11. Calculate n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 639\/1280 - -1\/1280. Which is the nearest to 1.5? (a) -3.9 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. Let x = -117.4 - 3.6. Let h = x - -122. What is the nearest to h in -5, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 10*i**2 - 19*i + 3. Let n be l(-8). Solve 3 = n*b - 28*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**26\/j**(13\/3))\/((j*j**(-4)\/j*j)\/(j*j**29*j*j)) assuming j is positive.\nAnswer: j**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2696995 and 5.\nAnswer: 5.2696995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o - 2. Let i be u(-3). Suppose -h = i*d - 1 + 3, 6 = 4*d - 3*h. Suppose d = 2*t - 4*t + 264. What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339.217 + -340. Let q = h + -0.217. Which is the biggest value? (a) -2\/7 (b) q (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 19*v - 18. Let z(i) = 5*i - 4. Let q(r) = 2*o(r) - 9*z(r). Let s(d) = -31*d**2. Determine q(s(x)).\nAnswer: 217*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40 = 3*t. What is the lowest common multiple of 50\/t*(-8)\/(-10) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hychhcfcfwcwchcych. What is prob of sequence cccw?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18)*(-432)\/80.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 5. Let u be a(4). Let i = u - 3. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -23402, 0.2?\nAnswer: -23402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 6*o - 6. Determine n(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/858 and -47\/18.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110000111000?\nAnswer: -110000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1083, -2173, -3265, -4359, -5455?\n\"Answer: -k**2 - 1087*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 56*g**2 - 39*g + 42. Calculate c(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-14)*(-152)\/19\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/255)\/(-12))\/(2\/20)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -708465\/26 + 27252. Calculate the common denominator of h and -93\/416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9597 + -7278. Round o to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106.4999977 - 106.5. What is a rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1597, 6483, 14599, 25921, 40425?\nAnswer: 58087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t + 3. Suppose 0 = -6*q + 8*q + 4. Let i be m(q). What is the third derivative of -7*s**2 + 22*s**3 - i*s**2 - 8*s**3 wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(0 + sqrt(17) + 0 + 0 + 4) + (-1*2*sqrt(833))**2 + (2*sqrt(17)*1 + sqrt(17))*-4.\nAnswer: -9*sqrt(17) + 3343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l - 2. Let c(t) = -3*t + 1. Let q(f) = -11*c(f) - 4*p(f). Let s be q(3). Let n be (12\/(-8))\/(-1*(-2)\/(-4)). Solve s*a - n*a = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*l + 7*l - 10 = 0, 0 = -4*z + 2*l + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = 4*z - 6, 4*z = -3*w + 10. Let f(t) = -t + 4. Let r be f(4). Let i = -51 - -53. Solve -i*a + r*a = z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 137. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00064042 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540529 divided by -1846843?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and 3 - -15*30\/(-81).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324028655?\nAnswer: 5, 937, 69163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, -11, -242, -601, -1130, -1871, -2866?\n\"Answer: -7*p**3 - p**2 - 93*p + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142290 and 318203127?\nAnswer: 14229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 423893*k**4 - 4239009*k**3 + 8902003*k**2 + 16956020*k - 42390300 = 0. Calculate k.\nAnswer: -423903, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 20*r - 1383. Let f(p) = 4*p**2 - 16*p + 1386. Let v(s) = 5*f(s) + 6*l(s). Determine x, given that v(x) = 0.\nAnswer: -38, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/2745 + -79589\/21960. Let q(o) = -o**3 - o**2 - 2*o - 2. Let n be q(-2). Calculate the common denominator of ((-2)\/(-24))\/(n\/495) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*b = -229*b - 84. Suppose h = 3*j, -2*h - 1 + 12 = 5*j. Solve b = -4*w + h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.071, -217, 5?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(70152\/(-22364) - -3). Let y = d - 14\/153. Calculate the common denominator of y and -29\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185902.3*0.12.\nAnswer: -22308.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151425.\nAnswer: 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18248.\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68015 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 17286227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g + 32*g + 30*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 - (-49 - (-37716)\/780).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**3 - 3*x**2 - 240290*x - 92579403 with respect to x.\nAnswer: -9*x**2 - 6*x - 240290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(2\/5))))**(-2\/91) assuming b is positive.\nAnswer: b**(-6\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -156*j. Let o(l) = 4644*l**2 - 4570*l**2 + 0*l + 0*l. What is g(o(r))?\nAnswer: -11544*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555245708*h*j**5 + 4*h*j - 10087*h - 2274*j wrt j.\nAnswer: -11104914160*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1475667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3 - 2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 3, 0.46, -4, -5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 151*t**3 - 8*t + 5*t**2 + 38*t - 146*t**3 + 20*t**2.\nAnswer: 5*t*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47495 = -23*v + 5106. List the prime factors of v.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002 * -16\nAnswer: -16032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-5 - 60 - 26).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovoovvosdod. Give prob of sequence ovv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-39)\/91 - (0 - -1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.66 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -231901 times 0.1?\nAnswer: -23190.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 - 2.5?\nAnswer: -2.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven halves of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:21 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0 (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/((-2)\/((-24)\/(-1932)*35)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -111104571 and -0.9223.\nAnswer: -111104571.9223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7577, 14852, 22127, 29402, 36677, 43952?\n\"Answer: 7275*p + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -165. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 96 = 19*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40036 + 40068. Solve 20 + 12 = -i*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -4\/1381387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - (-79)\/3. Suppose -5*l + 2*b = -34, -3*l - 5*b + a = -13. Let q(w) = -5*w**3 + 2*w**2 - w - 1. Let h be q(1). Sort h, l, 2 in descending order.\nAnswer: l, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*i + 45 = 0, d + 5*i = 549 - 608 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/344 and 3\/13174469.\nAnswer: 105395752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 4*w + 7. Let p be f(-5). Suppose 0 = -p*g + 16 - 6. Let u = -405 + 432. Calculate the remainder when u is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369751 greater than or equal to 6369753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 0*x - 3*x + 2*x + 2*x. Let d be (-63)\/15 - 2\/(-10). Let j(i) = -i**3 - 4*i**2 - i - 5. Let u be j(-4). Let h(s) = -s**3 - 6*s. Give d*z(r) + u*h(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 31*f**4 - 33*f**4 + f**3 - 2*f**2 - 4 in the form q*f**3 + w*f**4 + m*f + p + u*f**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 126*p**2 + 28812*p\/5 + 11024.\nAnswer: 2*(p + 2)*(p + 53)*(p + 260)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -5, 2\/47, 36\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from vrxr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3361 - -3361.000002366. Round k to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11369702766)\/38144066109)\/(2208\/(-30236)). Let i = q - -13\/306860273. Let a = i + 3\/1906. What is the common denominator of a and -31\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/9, -604 in increasing order.\nAnswer: -604, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*z**2 + 190*z**2 - 153*z**2)*(9*z**2 - 5*z**2 + 2*z**2) + (2*z**2 - 6*z**2 + 2*z**2)*(2*z**2 - 3*z**2 - z**2).\nAnswer: -902*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 300*f**2 - 4316*f - 4620.\nAnswer: -4*(f - 55)*(f - 21)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4798 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 10*a**2 - 14*a - 3. Let m be l(-11). Let j = -24 - -33. Suppose -j*b + 1823 + 337 = 0. What is the greatest common divisor of b and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109*0.1347965\nAnswer: -14.6928185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 20*o**4 - 8*o**4 - 13*o**4 + 4*o**3 + 2*o in the form f + z*o**4 + v*o**2 + x*o + q*o**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2\/9, -1\/3, -2\/5, 0, -121\/8?\nAnswer: -121\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 + 1481\/10. Let y = -0.09 - 4.91. What is the third smallest value in 1\/3, j, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1685, 4, -5\/2, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164282491 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*c + 176, i - 172 = 28*c - 31*c. What is the highest common divisor of 1022 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158461*t**2 - 8*t - 2 - 158461*t**2 - 3*t**3 - 42*t**4 to the form h + o*t**2 + q*t**4 + n*t**3 + v*t and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v + 12. Let s be r(0). Solve -4*y = -s*y - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 135886*c\/9 - 271780\/9.\nAnswer: 2*(c - 2)*(c + 67945)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112178 (base 10) in base 16?\nAnswer: 1b632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 3. Let y(w) = 13*w**3 + 6*w**2 - 9*w + 18. Determine -6*m(p) + y(p).\nAnswer: 13*p**3 - 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -9. Let r be (-3)\/6 - (-5551)\/14. Suppose 11*s = -s + r. Calculate the remainder when s is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -352*v - 769*v - 34 - 29 - 28 + 89 in the form t + n*v and give n.\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 43*i**5\/15 - 2596*i**2. Let h(d) = 13*d**2. What is b(h(x))?\nAnswer: 29068*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/41)\/i**(-12))\/(i**(1\/5)\/i*i**(-4\/11)))**4 assuming i is positive.\nAnswer: i**(119176\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54a - 608?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**3 - 2 + 15*f**3 - 29*f - 9 + 5*f.\nAnswer: 31*f**3 - 24*f - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from gyff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345412, -345406, -345398, -345388?\nAnswer: -345376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 (base 11) in base 7?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -79. What is the remainder when 36 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 11 = -2*j + 5 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(18)\/sqrt(2)*3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbaqbbqfbgqfbbbbqbq. What is prob of picking 2 b and 1 a?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061*-4.\nAnswer: -0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042031 rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 19*s**2 + 419*s - 14712. What is a(-41)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -79 and -204 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = 0. Let x(y) = 3*y**2 + l*y**2 - 7*y**2. Let a(u) = -2*u. Calculate a(x(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28957425?\nAnswer: 3, 5, 7, 19, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 516?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-910)*8)\/((-18)\/(-135)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 44. Let v = 67 - 48. What is the greatest common divisor of v and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1674*j**2 + 46415 - 23208 + 2*j - 23206 to l*j**2 + f*j + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (38190\/(-2345))\/((-90)\/(-105))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 83*c**3 - 52*c**2 + 6*c. Let m(y) = -248*y**3 + 156*y**2 - 16*y. Let r(i) = 3*m(i) + 8*p(i). Find the third derivative of r(d) wrt d.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12253.967752 + -12254. What is o rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -818*x**4 + 3*x**3 + 168 - 3*x**3 + 229 - 3*x**2 - 31 wrt x.\nAnswer: -19632*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 11232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 167, 169, 171, 173?\n\"Answer: 2*o + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*s + 37*s + 3528. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 + 2*w. Let n be m(-3). Suppose -16 = -3*b - 13. Let d be 7 + (-3 + b - 2) + 3. Calculate the highest common factor of d and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*j, 3*v - 12 = -2*j - 2. Suppose -5*p = -3*g + 2019, -3*g - v*p = -0*p - 2040. Suppose -2*y - i - 2*i = -g, -2*i = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 829\/1030 - 1\/206. Suppose 22*l = 4*k - 186, k - 40*l + 1 = -44*l. Which is the nearest to 2? (a) 2\/5 (b) z (c) 0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*s**4*x - 192*s**3 - s**2 - 409*x wrt s?\nAnswer: -552*s*x - 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*k, 0 = -2*l + 4*k + k. Suppose l = 2*g + 2*g - 16. Let q = 36 + g. Calculate the highest common divisor of q and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272866301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = -31*r + 26*r. Let v = r - -40. Suppose 0*w = -2*w + 6. Sort w, v, 1 in ascending order.\nAnswer: v, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o - 8. Let x = 0 - 3. Let d(v) = 3*v**3 - 4*v - 2. Let c(q) = -2*q**3 + 3*q + 1. Calculate o*c(f) + x*d(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72128\/(-686))\/46 - ((-9)\/7 + 1). Put 2\/13, 5, w, 0 in descending order.\nAnswer: 5, 2\/13, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 245, 306, 361, 410, 453, 490, 521?\n\"Answer: -3*m**2 + 70*m + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 2*s + 2. Let u = 206 + s. What is the remainder when u is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2557 - 2557 - 18*a**2 + 3*a.\nAnswer: -3*a*(6*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:57 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12362 + 47936 = 154*v. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n - 2*n)*(-2*n**2 + 4*n - 4*n) - 71*n**2 + 71*n**2 - 6*n**3 - 5*n.\nAnswer: -2*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107985 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s - 4. Let z(v) = 4 + 298*v - 96*v + v**2 - 102*v - 102*v. Let n(y) = y**2 - y + 2. Let a(i) = 2*n(i) - z(i). Calculate a(t(w)).\nAnswer: 144*w**2 + 96*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(2808\/27)\/26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -29*p - 25. Let h(y) = 30*y + 32. Let n(x) = 30*x + 31. Let v(i) = -6*h(i) + 7*n(i). Let s(f) = -6*u(f) - 5*v(f). Is s(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m**3 - m**2 + 1. Let w(f) = 3*f - 10. Let q be w(7). Let u(o) = o - 10. Let p be u(q). What is the units digit of c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28*c. Determine a(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 27621020.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -67, -47, 9, 101?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r + 6. Let f = 1 - 11. Let x be (-5)\/f*(-12)\/(-1). Let b be a(x). Calculate the greatest common divisor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 10*n + 4*n - 5*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2873*f + 39*f**2 - 2904*f + 5777*f.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1871\/11917?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435581744.\nAnswer: 2, 152223859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**7\/1680 + p**6\/240 - 7*p**5\/60 - 3*p**2. Let v(g) be the third derivative of o(g). Differentiate v(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 2*o - 5*o**3 + 2*o**3 + (3*o**2 - 2*o**2 - 3*o**2)*(4 - o - 4).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.196819 + 0.032977\nAnswer: -0.163842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and 282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, 3.\nAnswer: -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 22 = 2*k, -5*t - k - 31 = 0. Let c be (0 - -13)\/(-5 - t). Solve -22 = -2*d - 5*f, -6*d + d - 2*f + c = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4 = 5*x, -6*x - 16 = -3*x - 4*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v - 0*v. Let u(b) = -5*b - 1. Let i be u(v). Suppose 3*y + 68 = i*t, -4*y = -t + 2*t + 2. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2826.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20233125 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(7) + 5 + (sqrt(252)*6)**2)*1.\nAnswer: sqrt(7) + 9082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26708 divided by 170.\nAnswer: -13354\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2524228 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3665, 3111, 2203, 953, -627, -2525, -4729?\nAnswer: -7227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 735 - 734.8. Let u = 12 + -10. Let p = 0.8 - -0.2. Which is the closest to t? (a) u (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 553259975, 553259974, 553259973, 553259972?\n\"Answer: -q + 553259976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j. Let b(f) be the third derivative of f**6\/45 - 10*f**3\/3 - 15*f**2. Let v(r) be the first derivative of b(r). What is l(v(w))?\nAnswer: -128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 3 + 14 - 9. Let l be r(-6). Suppose -l*o = -4*o - 2. What is the nearest to 0.1 in o, -0.5, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -122, -117, -100, -71?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30354203 (base 6) to base 7.\nAnswer: 10254030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*t - 153*t**4 - t**3 + t**2 - 106*t - 102*t + 305*t to c + p*t**3 + o*t**2 + b*t**4 + l*t and give b.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 10:55 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30159565.\nAnswer: 5, 29, 207997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3705*t**2 - 5204.\nAnswer: 7410*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10}. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p**2 - 2*p. Determine g(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) - 96\/42. Let a be ((-1)\/((-2)\/28))\/h. Let j(p) = p**2 + 8*p + 3. Give j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j**2 - 15*j**2 + 20*j**2.\nAnswer: 62*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 526163 and 334831.\nAnswer: 3683141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 5*p**2 - p - 8. Let f be u(-5). Let m be (f - (2 + -2))\/(-1). Solve -b + 3*b + 5*n = -18, -m*b - 2 = -5*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -3*g. Let i be 4 + (-3)\/((-9)\/(-12)). What is the remainder when 4 is divided by -1 - -3 - i\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -351813, -351812, -351811, -351810, -351809?\n\"Answer: i - 351814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 2948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x - 8. Let w be h(4). Let c(p) = p**3 + p**2 + 2*p + 1. Let g(n) = n**3 + n. Let l(k) = w*g(k) - 3*c(k). Give l(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from angbbyaaa. What is prob of sequence aag?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 10*t = 38, -966*t + 969*t - 26 + 3 = -a - 0 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -45. Suppose -433246 = -h*g + 99346. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1093129 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 + 7 = 0. Suppose 5*a + 14*a = 95. Let g(w) = -a*w**2 + 38 - 38 + 0*w**2. Let r(k) = -6*k**2 + k - 1. Determine u*r(h) - 3*g(h).\nAnswer: 3*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n - 13 + n**2 + 1 - 7 + 0*n**2. Let b be m(14). Suppose 375 = 3*f + b. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*g = -3217596 - 8892396. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u. Let d(h) = -h + 317144. Determine d(z(m)).\nAnswer: 4*m + 317144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -3, -27, -5, -4.\nAnswer: -40, -27, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2495, 2474, 2451, 2426, 2399?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i**2 - i - 6. Let t be a(4). Solve r = -o - r - 4, t = 3*o - 3*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s + 9. Let w be h(7). Let y = w - 119. Let g = y - 89. What is g rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 - 118*v**2 - 24*v**6 + 2*v**2 + 202*v**6 wrt v?\nAnswer: 21360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20193 and 51092?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6298646890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 3. Let w(b) = 7*b + 4. Calculate -4*m(p) + 3*w(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126938560.\nAnswer: 2, 5, 7, 61, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -2 in decreasing order.\nAnswer: 18, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*w - 82, -3*f - 5*w + 84 = -2*w. Let q = -14 - 5. Let s = -13 - q. Calculate the remainder when f is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31 + -26 + 1\/1. Let v be (-2)\/s - 20\/3. Sort v, 2, -1.\nAnswer: v, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -9. Let i be (j\/8)\/(1\/(-4)). Let c = i - 2. Is c at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 24. Let o be f(-23). Suppose -5 = 4*z - 1. What is the remainder when z - (3 + 25*o) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/12 (b) 2 (c) -3\/2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/2 + 125*p**3 - 3329*p**2\/2 + 2956*p - 1416 = 0. What is p?\nAnswer: 1, 12, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 14 = 4*f - 5*v, 2*f + 4*v + 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2370 + 2522. Is 76 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87e694 - 75?\nAnswer: -87e719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1150*i**3 - 1517*i**3 - 5417*i**3.\nAnswer: -5784*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -773 + 549. Let l be (24\/y)\/((-2)\/(-8)). Sort -1, 1, l.\nAnswer: -1, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1609*m**3 - 53 + 288*m**3 - 1320*m**3 + 11.\nAnswer: -2641*m**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d**4 - d**3 + 12*d**2 + 4*d - 1. Let i(f) = f**4 + f**3 + 1. Let l(b) = -i(b) - v(b). Factor l(y).\nAnswer: 4*y*(y - 1)*(2*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 119*t + 33. Is j(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 10. Let o(b) = 5*b**2 - 7*b**2 - 6*b + 3*b**2 + 6. Let a be o(v). Do 2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -5b615a5?\nAnswer: -5b615a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1860\/(-465))\/((-5)\/((-75)\/(-72)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*j**2 + 127*j**2 - 95*j**2 - 96*j**2 + 3*j**3 + 151*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkxddkdddjjkdjj. What is prob of sequence fjx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -10*w + 4. Suppose -5*o + 1 = -w. Which is smaller: o or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlcc when four letters picked without replacement from cmccmicmyclcmimcrmmc.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2 + 1. Suppose 0*b + 5*j = -2*b + 13, 0 = 5*j - 15. Is b greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + 6*p**2 - 6*p**2 + 8*p**2 to c*p + b + r*p**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*i + 29, -4*i = -2*o - 102 + 88 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 172, 461, 1020, 1939, 3308, 5217, 7756?\nAnswer: 11015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(625) - sqrt(25))\/sqrt(5))**2.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*99\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + 30\/20. Let w(j) = 6*j + s + j**2 + j**3 + 0*j**2 + 6*j**2 + 0*j**2. Determine w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 9) to base 8.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 20, -7*g + 4*g + 13 = u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1930)\/(-18) + (-4)\/(-6). Let u = -108 + j. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -774581 and 10.\nAnswer: -774571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k - 7*k - 5*k as d*k + b and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 5*n - 2. Let o = -49 + 65. Let r = 24 - 13. Suppose 7*q - 4*q + t - r = 0, -o = -2*q - 5*t. What is m(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3085355, 3085343, 3085321, 3085289, 3085247, 3085195?\nAnswer: 3085133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 0*g - 7 + 0*g**4 + 0*g**3 + 3*g**2 + 7\/5*g**5. Find the second derivative of b(c) wrt c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 - 0.38. Is y not equal to -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 2.3 (c) -2 (d) 199 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 1)*4 + (3 + (1 + sqrt(2))**2 - sqrt(2)) + sqrt(8)\/sqrt(4)*4.\nAnswer: 10 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103, -59, 15, 119?\n\"Answer: 15*n**2 - n - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((10\/(-6) - -2)\/1)\/(256\/1536). Find v such that 0 + 1\/3*v**r + 0*v + 1\/6*v**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004537 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:41 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -897, -2012, -3573?\nAnswer: -5580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/19))**(-2\/25) assuming g is positive.\nAnswer: g**(-2\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + (14 - -4) + -16 + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 250 = -2*z - 184, 2*z = -5*d + 565. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*h**2*z**2 + 7*h*z**2 + 364*z**2 + 5 wrt h?\nAnswer: 152*h*z**2 + 7*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432150.6mm to centimeters.\nAnswer: 43215.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 92 = 3*l, 44 - 5 = l - s. Let c be (l\/4)\/(3\/6)*6. What is c rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (1602500\/(-623693))\/(4\/14)?\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70\/1539 + -68323\/24624. Let j = 9871\/1308 + 4\/109. Find the common denominator of h and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 0.02. Let t = u - -1.01. Which is the biggest value? (a) 3 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3920 - 3876. Calculate the remainder when 151 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-20)\/8)*10. Suppose 0 = 8*s - 3*s - k. Suppose -c - 5*v + 3 = s, -6 = -c - 4*v. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 + 25095116*v**2\/3 - 100380392*v + 301141104.\nAnswer: -2*(v - 12547546)*(v - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:48 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.5337 decades to years.\nAnswer: 9165.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 27142.\nAnswer: -5\/27142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let b(k) = k. Let m(l) = -2*b(l) + 3*p(l). Let z(n) = -17*n. Determine z(m(u)).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 187. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 1\/10 (c) -493 (d) 7 (e) -57.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2535615 (base 10) to base 8\nAnswer: -11530277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 35*w - 74 = 4*n, 6*n - 3*n - 636 = 13*w - 2*n for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9952 and -14.\nAnswer: 139328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 185*v**2. Let o(k) = -3*k. Calculate p(o(q)).\nAnswer: 1665*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = o + 1, 0 = 160*o - 157*o - 12. Let q(z) = -11*z - 8. Let t(k) = -12*k - 8. Determine j*t(v) - 6*q(v).\nAnswer: 6*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002594195 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-175) - (-11 + (-224)\/(-20)). Which is the closest to -0.2? (a) 0.06 (b) q (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-8 + 15)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 53 = -5*p, 26*g - 24*g + p - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 162. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2860 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032 take away -9560797431?\nAnswer: 9560797431.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 != -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 + -181. What is the remainder when (1414\/(-35))\/(a\/(-40)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*r = -29, -n - 2*r = -3*r + 14. Let i be -1 + 1 + n\/(-3). Let f be ((-12)\/(-14))\/(9\/126). Solve 0 = o - 2*m + 3, -2*o + f = -6*o + i*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(475) + 2)**2.\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d*(d*d**9\/d)\/d)\/(d**(6\/5)*d**(-1\/3)))**(-36) assuming d is positive.\nAnswer: d**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 11}. Give prob of picking 2 m and 1 u.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19330\/3 - 7770\/2331. What is the highest common divisor of 90 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - 19*m - 3.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.57 and -3499.2.\nAnswer: -8992.944","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9)\/(t*t\/(((t\/(t\/(t*t**1*t)))\/t)\/t)))**(-23))**(-9\/4))**44 assuming t is positive.\nAnswer: t**(-22770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9300d (base 15) in base 6?\nAnswer: 13552151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22028, 21978, 21928?\nAnswer: 21878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2550.25064 to the nearest integer.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23, -22, -29, -50, -91, -158, -257?\n\"Answer: -b**3 + 2*b**2 + 2*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g**3 + 10*g**2 - 6*g. Let r(p) be the first derivative of -p**4\/2 + 2*p**3\/3 - p**2\/2 - 243. Let y be (-22)\/(-4)*2\/(-1). Give y*r(l) + 2*z(l).\nAnswer: 2*l**3 - 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j + 566 - 710 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 + (-14)\/4. Is -2*((-2)\/v - 2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*h**3*i**2*x + 7*h**3*i**2 - 29*h**2*x - 73*i wrt x?\nAnswer: 21*h**3*i**2 - 29*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 19. Let y = v + 13. Let b = -1660 - -1658.4. Is b > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11444 + 33424?\nAnswer: 45201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let y(r) be the first derivative of -1\/6*r**3 - 15*r - 26 + 0*r**2. Let c(i) be the first derivative of y(i). Calculate g(c(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 28 - 31 + 56)*(2*i**3 + 0*i - 3*i**3 - 2*i).\nAnswer: i**4 + 3*i**3 + 2*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60332, 60947, 61986, 63461, 65384?\nAnswer: 67767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*v = -3, 5*g + 0*v - 2 = 2*v. Let q be 11 - 1 - g - 1. What are the prime factors of q + (3 - (0 + 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*10*(-59)\/(7375\/800). Calculate the highest common factor of 330 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606 - 566 = 8*t. Solve -6*f - t = 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1361728213 to the nearest integer?\nAnswer: 36902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*h - 17290, -7509 = 5*x - h - 29112. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 l when three letters picked without replacement from {x: 5, p: 3, l: 1, j: 1, q: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 3*b + 5*j, -2*b + 39 - 71 = -4*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 75 + 4?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 96*a + 6. Let k(m) = m - 2. What is -f(u) - 3*k(u)?\nAnswer: -99*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/4*(-15)\/(-30).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.97 - -0.03. Let d = 0 - -0.1. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108839534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-303 - 36 + 132)*(-y - 2*y + 6*y) - y + 2*y + 4*y to d + i*y and give i.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19827*d + 2. Let a(m) = -3*m. What is a(q(p))?\nAnswer: 59481*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 23.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35408 is divided by 181.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 7*b - 488 = -43*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 384459.2183 to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y = 36*y + 1226 + 600. Let u be 15*-1*2*-1. Let h = u + y. Solve -g - h = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 0 - 3\/8*d**3 - 3\/4*d**2 + 3\/8*d**4.\nAnswer: 3*d**2*(d - 2)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t. Let q = t - -2. Let g(j) = -j**3 + 2*j**2 - 2*j. Let h be g(q). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5545 is divided by 5532.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 1534*a + 10660. Let j be l(7). Let m be (-20*4)\/(1\/(-4)). What is the highest common factor of j and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-2)\/4*(-82484)\/(-7278).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1183749\/95 less than or equal to -12460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 232020 = -2*b - 2*n, 3*b + 347990 = 2*n. What is b rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 16 = -4*y, 4*y + 3*i - 132 = -143 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -25. Suppose 3*w - 6*w = -o. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y**2 + 5*y + 2. Let i(v) = v**3 + 3*v**2 + 9*v + 4. Let n(b) = 6*i(b) - 11*z(b). Let h(g) = 4*g**3 + 3*g**2 + g - 2. Give -4*h(x) - 3*n(x).\nAnswer: -x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -42) + 33\/12\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 849004 + 436367134.\nAnswer: 437216138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/1511 + 1430\/13599. Which is bigger: -1\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + d**4)*(-22 + 14 + 8 + 266*d).\nAnswer: 266*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 1:08 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v + 123. Let n be k(18). Let y(p) = -p**3 + 3*p + 3. Let c be y(n). Let s be 25 - (-2)\/(-6)*3. Solve 0*z + c = -5*z - 2*w, s = -4*z - 4*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30\/527 + -3312\/2635. Is b equal to -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 12 = 0. Let j be (-2)\/(-8) - s\/(-24). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 + 163 = -11*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1390 - -1389.99999885. What is r rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*w**3 - 17*w**3 + 766*w**3 - 253*w**3.\nAnswer: 1159*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 10*x**2 - 9*x + 2. Let g be b(9). Let l be g + 2*(-57)\/42. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -32, -97, -230, -455?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 8262?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*v + 51, 0 = 453663*a - 453662*a + 9*v + 114 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9420.759m to millimeters.\nAnswer: 9420759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 24*c**3 - 3*c**2 + 4*c - 5. Suppose 0 = 3*b + 2*q - 3*q - 1, 3*b + 14 = 4*q. What is the remainder when m(b) is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -354, -530, -706, -882?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 = 1. Let h = 111 + -96.6. Let o = 14 - h. What is the third biggest value in -5, q, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-289 - -234) + (1 - (25 + -1))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.27.\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 115 = -8*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.399 + 0.001. Let i = -0.4 + r. Let b = -3.7 + 3. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 d when four letters picked without replacement from {r: 2, d: 3, o: 1, m: 13, y: 1}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j**2. Let m(s) = -39*s**2 + 40*s + 7. Let r(l) = 6*l - 1. Let o(w) = -m(w) + 5*r(w). Let x(a) = -2*a - 2. Let d(p) = -o(p) + 6*x(p). Give d(v(b)).\nAnswer: -2496*b**4 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 12. Let m = 7.6 - 11.6. Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1311*u + 362*u - 719*u to g*u + i and give g.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131999\/6 - -22023. Calculate the common denominator of u and (-74)\/(-12)*(-1)\/(-9).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*b - 40 - b**4 - b**4 + 59*b + 726*b**2 - 725*b**2 in the form k*b**2 + w*b**3 + d + x*b + s*b**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.8603nm in millimeters?\nAnswer: 0.0008238603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/57209?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303*v + 74 - 7 - 67 - 1313*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 25*x - 20*x + 22, -14 = -l + 4*x. Solve l*g + 15 = 11*g - 5*b, -4 = -4*g + 2*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7\/3. What is the fourth smallest value in q, 0.3, -6\/5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116.7 + -117. Let f = -4.1 - -4. Which is the smallest value? (a) q (b) f (c) -2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3853*q + 2*f = -3849*q - 2, -2*f - 14 = -7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2 - (-4 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 + -257. Let o = 89.0000214 + x. What is o rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(19\/114). Suppose -z*g = 9*g - 72. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*y + 24 = 3*l, 20 = 5*l - 2*y. Suppose 2*o - o = 5*s + 18, 20 = 3*o + l*s. Suppose 315 = o*i - i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -103. What is the highest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5122 + 66511?\nAnswer: 61367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.93119 and -86117.\nAnswer: -86105.06881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:38 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56601\/82593)\/331*14\/(-8)*(-24)\/2.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970*(-10)\/(-25)*5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 - 4*j**2 + (-1 + 1 - 2*j)*(2*j + 4 - 4) + 1 - 1 + 2*j**2)*(j**2 + j**2 + 0*j**2)*(-6*j + 79 - 79).\nAnswer: 60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -312649.9211 rounded to the nearest one hundred?\nAnswer: -312600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4746 and 14?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -19*b + 440. Let l be q(23). Let d = 12 + -6. Solve 5*y = -0*n - 2*n - 11, -d = -l*y + 3*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - t**2 + 936*t**3 + 942*t**3 - 2*t - 1874*t**3 to the form q*t + k + v*t**3 + x*t**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252*s - 2201*s + 4312*s.\nAnswer: -141*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/21*(1 + (-33)\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -t - 47, -5*q + 0*q + 41 = -3*t. Suppose -q = 4*r - 22. What are the prime factors of r\/((-12)\/(-106)) + 2\/(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13100099.\nAnswer: 2087, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-60)\/(-135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + 44\/12. Let n be (t + -6)*2\/(-3). What is the third derivative of -2*y**2 + 5*y**n - 5*y**4 - 2*y**2 wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.032 and 5985.\nAnswer: -191.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-2 - -202)\/2. Let t = -806 - -725. Let v = j + t. Solve 3*n = -6 + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 66, 243, 598, 1191?\nAnswer: 2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 34\/5 of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*1*3\/((-15)\/5). Solve -5*f = 25, b*h - 7 = 4*f - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071846?\nAnswer: 2, 3, 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16128 divided by 7\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 150, 99, 70, 75, 126, 235, 414, 675?\n\"Answer: 2*k**3 - k**2 - 62*k + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - q + 164 = 31*q. Solve 4*b - b - 11 = t, -q*b = -t - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.811 - 18.811. Which is the closest to -1? (a) f (b) -0.04 (c) 2\/971\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 4840*p**3 - 9688*p**2 = 0. What is p?\nAnswer: -2, 0, 2422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 2 - (0 - 0 - ((-77 - 3) + 70))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/25*-5*(-44)\/1122.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 + 4*r**3 - 13*r**3 + 2*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 7*v + 52. Suppose -828*s = -831*s - 39. What is the hundreds digit of x(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000210200012 (base 3) to base 6\nAnswer: 54302135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 105*d + 442. What is q(-5)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1131298 millennia to years.\nAnswer: 113.1298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12100419.\nAnswer: 3, 1344491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjdd. What is prob of picking 3 j and 1 d?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*r**2 + 13*r**2 + 2*r + 16*r**2 + 4*r**3 to h*r + i + u*r**3 + o*r**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/60)\/((-663741)\/45384)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6000 - -2?\nAnswer: -5aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*t**2 - 351*t**2 - 320*t**2 - 2*t + 2*t.\nAnswer: -868*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 121125, 121130, 121135, 121140?\n\"Answer: 5*q + 121120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*s**3 + 9*s**3 + 17*s**3 + (-4 + 4 - 4)*(-1 + 2*s**3 + 1) + 2*s**3 - 3*s**2 + 3*s**2)*(0 - s + 0) as g*s**2 + k + i*s + j*s**4 + b*s**3 and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6814525 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let x = 38 - 34. Suppose 0 = -x*c + 5*c - 1, -3*c = -2*a + 13. Let w(p) = 7*p**2 - 20*p**2 + a*p**2. What is r(w(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 14 = 5*a, 5*c + 5 = -a + 19. Solve -6 = -c*m, 4 = 4*v + m + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 13 (c) 2 (d) 345420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/7 (c) 0.5 (d) -1 (e) 68385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8*(0 + 36\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79572.181 - -1557\nAnswer: -78015.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-63)*(63\/24)\/(-7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a week in hours?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5 - 158650*o**3 + 220*o - 8290?\nAnswer: 60*o**3 - 951900*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 1, o: 2, d: 3, y: 1}. Give prob of picking 1 o and 2 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -13 + 7 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5044, 5043, 5034, 5011, 4968, 4899, 4798, 4659?\n\"Answer: -g**3 + 2*g**2 + 5043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 7:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1056 = 1063. Let x(l) = 2*l**2 - 8*l - 6. Let h be x(6). Suppose t*i - h = 6*i. Calculate the highest common divisor of i and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -938, -935, -932, -929?\n\"Answer: 3*f - 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from aaaaaaaaaaaaaadaadad.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/4 + 621*j**4\/4 + 16605*j**3\/4 + 119475*j**2\/4 = 0.\nAnswer: -177, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, 1 o, and 1 j when four letters picked without replacement from {r: 2, p: 4, j: 4, o: 4}.\nAnswer: 128\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2266713803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4994?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 35*d + 1097 - 628. Factor 0*i**d + 1\/4*i**3 - 7\/4*i - 3\/2.\nAnswer: (i - 3)*(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 37 - 138. Let p = -13 + v. Suppose -p = 5*i + 3. Which is smaller: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262.99 + 267. Let g = x + -0.01. Let o = -0.2177 + 0.1777. What is the second biggest value in 2, g, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 209239725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.41199ug?\nAnswer: 4411.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.1696 * 4.\nAnswer: -56.6784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1344300 - 16?\nAnswer: -1344316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(2\/5)*b)**(-2))**(-1\/28) assuming b is positive.\nAnswer: b**(13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 5*a**2 + 7*a. Let t(p) = -p**3 - 4*p**2 + 16*p + 20. Let h be t(-6). Let j(i) = -i**3 - 4*i**2 + 6*i. What is h*y(v) + 5*j(v)?\nAnswer: 3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2824d605?\nAnswer: 2824d607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 362 + 139*y**3 - y - 362 to the form g + m*y**3 + i*y**2 + f*y and give m.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607229104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 143 - 376*o - 515*o.\nAnswer: -891*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143455241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let u be (-24)\/10*(-170)\/4. Suppose -2*x - 3*x = -r*l + 30, 5*l - u = -x. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Suppose -2 = 2*v, -3*z - 1355 = -3*v - 101. Let g = 419 + z. Put 4, f, g, 2 in increasing order.\nAnswer: g, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 = -15*m - 92. Let o = m + -39. What is the highest common divisor of o and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*y - 40 = -443 - 65. Solve -2*l - y*q - 12 = -2*q, -2*l - 5*q - 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, w: 1, s: 2, t: 1, a: 3}. What is prob of picking 1 w and 1 s?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012562 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051 + 1055 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580270 = 43*r + 121460. Calculate the greatest common factor of 330 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*w - 56884 = -33458 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 0*d**3 - 8 - 4*d**3 - 8*d**2 + 2*d**3. Let y be u(-4). Let k(x) = -x**2 + x + 4. Let s be k(-3). Is y != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 555 + -553. Let f(j) = j**2 - 4 + 0 + j + 2. Let m be f(-2). Put m, u, 1 in ascending order.\nAnswer: m, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -45*n - 21. Let h be w(-11). Let g be 1\/(10\/h) + 22\/(-55). Which is smaller: g or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4916.417 + -5?\nAnswer: -4921.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 0 + 3\/2*i**3 - 4*i.\nAnswer: i*(i - 4)*(3*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -1252, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 6) to base 13.\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -760 < -0.0374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.405641814 rounded to 2 decimal places?\nAnswer: -4.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166.39 - -1.61. Let z = u - 168.00267. Round z to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271690 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97890155*x**3 - 61*x + 646916.\nAnswer: 587340930*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43502094371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0 - 3*m - 1\/6*m**3 - 3\/2*m**2 + 3\/4*m**4 + 1\/20*m**5. Calculate the least common multiple of o(-9) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -303700 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2961000 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 87181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496335267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**2*x - 18*l**2 - 4*l*x - 4622*x wrt l.\nAnswer: 10*l*x - 36*l - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -182. Suppose 0 = -63*b + n*b + 6640. What is b rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 5:59 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.26 + -3.06. What is the closest to -0.7 in v, -0.2, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/108 - (-4)\/(-18). Let k = 3.946843 - -0.053157. Which is the nearest to n? (a) 1\/9 (b) -1\/2 (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 14. Solve 0 = -i*x + 2*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - -1002303122?\nAnswer: 1002303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = 2*l - c, 2*l + c = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 270?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 + 21*y - 140. Is 85 a factor of o(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*x**2 + 50*x - 50*x)*(-2*x + 3*x - 3*x + 2).\nAnswer: 86*x**3 - 86*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 236333569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - c + 5*c = 172, -2*c - 139 = -3*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1696 - 1636. Solve -11*l - l - f = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*z**3 - 1080*z**3 + 615*z**3 - 19*z.\nAnswer: -873*z**3 - 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 5*o + 2\/9*o**4 + 0*o**3 + 0*o**2 + 1\/126*o**7 + 0 + 1\/15*o**6 + 1\/5*o**5. Factor d(h).\nAnswer: h**2*(h + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 0.1 (c) -5\/6 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33426 is divided by 294.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 84 = -t, -4*y - 2*y + y + 64 + 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 - 3. Let v = -2.07 + 5.18. Let o = v + -0.11. Which is the closest to -0.1? (a) z (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153887?\nAnswer: 153887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1573635 by 5.\nAnswer: 314727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.07 - -7. Let d = -91912.6 - -91913. What is the smallest value in g, 4, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3)*k)\/k*k*k**(-3\/7))**24 assuming k is positive.\nAnswer: k**(208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 + g - 4. Let s be m(4). Suppose s*x = -x. Is 0 + x + 1 + 10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -719*o**3 - 64032*o**2 - 136002323*o wrt o.\nAnswer: -4314*o - 128064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 1. What is the remainder when 16 is divided by a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -35*r - 226. Let l(d) = 19*d + 124. Let p(m) = 6*g(m) + 11*l(m). Let o(c) = -13*c**2. Determine p(o(w)).\nAnswer: 13*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469064914.\nAnswer: 2, 234532457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12207 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5 + 9. Let w(t) = -10*t + 1 + 4 - 8 + 2*t**2 + i. What is the remainder when w(8) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z + 2*z - 403*z**3 - 20*z**3 - z**4 - 5*z**3 to the form g + t*z**2 + b*z**3 + i*z**4 + l*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-50)\/(-15))*28\/21. Which is bigger: l or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 5*r + 4. What is d(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.72. Let g = 0.8 + h. Put -4, 0.5, g in decreasing order.\nAnswer: 0.5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34944 by -1344.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1512 - 943. Suppose 8*j + 113 = k. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(468) + 3*sqrt(468) - (sqrt(468)*6 + 4))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 - 131.6. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 120\/119?\nAnswer: 120\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.105, -2886 in ascending order.\nAnswer: -2886, 0.105, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.2352885 to two decimal places.\nAnswer: -29.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 1899?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*z + 1 - 26, -5*n + 25 = 5*z. Sort 8\/9, 0.1, 3, z in decreasing order.\nAnswer: z, 3, 8\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993164 to the power of 1\/2, to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 93833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11*v**3 + 23*v**3 + 5 + 2*v.\nAnswer: 34*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from {q: 8, s: 1, n: 2, d: 4}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let n(q) = a - 51*q - 2 - 32*q. Is n(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42\/13 (b) -113\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15) - 0)*65\/(-234)*45\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 367723\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from gnnxgngaggafgfgaffa?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11586758.9157 minus 0.1?\nAnswer: 11586758.8157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-6))\/7)\/((-5)\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 - -247.00596. Round k to four decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 0 + 1\/5*l**2 = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129877 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*p**2*x**6 + 12824*p**2*x**3 + 223*p**2 + 10*p*x + 3*x**2 + 47 wrt x?\nAnswer: 3240*p**2*x**3 + 76944*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 4*d**2 + 2*d**4 + d**2 - d in the form v*d**3 + i*d + k*d**2 + a + f*d**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10882859629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.01. Let y = s - 0.49. Let h = -1 + -3. Put h, 3, y in increasing order.\nAnswer: h, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 2468, 8198, 19318, 37622, 64904, 102958, 153578?\nAnswer: 218558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 - -284. Let z = -566 - -613.1. Let s = z - o. What is the second biggest value in s, 6, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 438*c + 467. Is j(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11880085 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. Let m = s + -1. Solve 5 = -m*i - i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 - ((-1 - 4) + 5)) - -27\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*z - 6327795190 + 6327795190.\nAnswer: 401*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14226 + -14086. Solve 0 = 35*z - q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 - -3397872?\nAnswer: 3397944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/29 or 50.7?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 3*t + 7 - 3*t + t**2. Let x(a) = -7*a**2 + a**2 + 2*a**2. Determine f(x(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -27 - (0 + -2 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 3776, -0.3, 4\/5, 1 in ascending order.\nAnswer: -3, -0.3, -0.2, 4\/5, 1, 3776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 4*g - 4*g + (-g + 2*g - 2*g)*(3*g - g - 3*g) + g - g + g**2 - 15*g**2 - 81 + 81)*(642*g - 1261*g - 1 + 633*g).\nAnswer: -196*g**3 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-2.1602\nAnswer: 0.43204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324108.\nAnswer: 2, 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*r - 1)*(4 + 3*r**3 - 4) - 4*r**2 + 145465*r**3 - 1829 + 2*r**4 + r**2 - 145464*r**3 in the form c*r + v*r**4 + s + b*r**2 + f*r**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*(y*y\/y**(-2\/7))\/y*y)\/(y\/y**(2\/9)))\/(y\/(y**(-2\/5)\/y)*y*y*y**(-1)*y))\/(y**(3\/2)\/(y**(-3)*y))**(-48) assuming y is positive.\nAnswer: y**(52954\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**2 - 116*n**2 + 5*n**3 + n**3 - 5*n**3.\nAnswer: n**3 - 83*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:05 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 6*a**3 - 25*a**4 - 2*a**2 - a + 19*a**4 - 6*a**3 - 1 to m*a**4 + x*a**3 + b + r*a**2 + o*a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 12*n + 12. What is the units digit of x(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6210452 or -6210451?\nAnswer: -6210451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17595 is divided by 5857.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -g + 55, -5*g + 4*u + 283 + 166 = 0. Let v = -17 + 39. Calculate the remainder when g is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*m = -107, 0*m = -3*m + 15. Let s = 41 + x. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 33*k - 35 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376200 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.689807 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*y - 44*y + 17*y as m*y + a and give m.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -70 (b) 0.19 (c) 4\/3 (d) 0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1066 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 plus -342?\nAnswer: -342.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 (base 11) in base 10?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 37. Suppose -4*q + t = -4. Differentiate -3*m - q*m**4 - 2 + 3*m - 2 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190)*-6)\/(sqrt(10) + (sqrt(10) - sqrt(40)\/sqrt(4)*3)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10599474 + 10599763 - 2*m - 21199237.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-764)\/20*3468\/12267. Let g = -2\/4089 + h. Find the common denominator of 4 - (-4 + (-329)\/(-28)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2, -6, 2301?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -615\/133 (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2918 = -3*a + y, -3*a = -7*y + 12*y - 2906. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-120)\/(-36)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1470)\/(-34) + -3 + 3. Let o = b + -19871\/136. Let n = o + 103. Find the common denominator of n and 48\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/6)\/(3*6\/(-180)). Let c be (-47)\/(-7) + (-2)\/(-7). Suppose -2*h - g = -c*h. What is the remainder when 13 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391190363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 560222812\/5 bigger than 112044561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = 663*a - 9659 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t + 120 = -56*t + 33*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b + 22. Let u = -5 - b. Calculate the highest common divisor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 + 3 = 0, 2*s = c + 55. Suppose 19*y - 10 - s = 0. Solve n - z - y = -4, 5*n + 4 = -z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-15)*(-21)\/420. Let n(j) be the third derivative of 0*j + 1\/120*j**6 - d*j**5 + 1\/12*j**4 - 5*j**2 - 4\/3*j**3 + 0. Calculate n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*s**2 + 2*s**3 + 4*s**3 - s**3 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2, 10\/3, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87854 (base 9) in base 5?\nAnswer: -3331123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -19. Let x be (1 - 2\/1) + l. Let t(y) = -y - 12. Let z be t(x). Put 2\/5, 5, z in decreasing order.\nAnswer: 5, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 120*c - 566*c as m + w*c and give w.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s + 28*s + 2148 = -26*s + 242*b - 30, -s + 6*b - 4*b - 18 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352077?\nAnswer: 3, 11, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 448275 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2911\/3 + 973. Find o, given that -16\/9 + 2\/9*o**3 - 4\/3*o**2 + u*o = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -3*c, -c + 5 = 2*m. Let p(n) = -n**m + 11*n**2 + 2*n**2 - 3*n**2. Let d(w) = w**2. Determine p(d(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4452064807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(342) + sqrt(342))\/(((sqrt(8)\/sqrt(2) + sqrt(4))\/sqrt(2) - sqrt(2)) + sqrt(2)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3180)\/(-18))\/((-1)\/(-6)). Let o = 1592 - k. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (-4)\/(-12)*1191?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 12 + 13. Suppose 0 = -4*a + 4*f + 64, 0 = -4*a + u*f + 60 + 8. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (88\/45 + -2)\/(8\/(-40)). What is the nearest to 1 in 0, m, -0.8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 903 + -909. Put z, -5, -17 in increasing order.\nAnswer: -17, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 36, -470*a - 4*n = -471*a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -682a07 (base 11) to base 13\nAnswer: -2c0ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1609955 or -1610005?\nAnswer: -1610005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 101. Let s be 2*(b\/(-6))\/(-1). Sort -4, -9, s in ascending order.\nAnswer: -9, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 1 - 1)*(-629 + 1256 - 624 + 21*p) + (-p**3 + 5*p**3 - 3*p**3)*(-3 + 3 + 2).\nAnswer: 23*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let l(w) = w**2. Let u(v) = v**2. Let o(b) = -5*l(b) + 3*u(b). Calculate h(o(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89437 and 595?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*r**2 - 447*r**2 + 714*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t - 2\/3*t**3 - 2*t**2 + 0 + 0*t**4 - 1\/60*t**6 + 0*t**5. What is the first derivative of o(f) wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15\/(((j\/((j\/(j\/j**(4\/7)))\/j))\/j)\/j))**(-1\/6) assuming j is positive.\nAnswer: j**(-109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-4)\/(-1))*8\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2) - 1\/(1\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001082 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24023.093 rounded to the nearest ten?\nAnswer: 24020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.6 - -23. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -3*b**2 + 7\/24*b**4 + 0*b**3 + 0*b + 0. Let x(i) = 2*i. Determine x(u(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 - s - 1. Let c(x) = -2*x**3 - 3*x**2 + x + 3. Let n(i) = -i**2 - i + 7. Let t be n(0). Suppose t*w + 3 = 4*w. Determine w*c(d) - 3*v(d).\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (243\/(-945))\/(12\/(-14))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3608074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-900))\/(2\/((-2)\/3)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -929 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 35.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -384578465 and -3.\nAnswer: -384578468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 38318\/68) + 6\/(-4). Which is greater: c or -3449\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.59 + -49.386. Let t = 60 + h. Let i = t + -37.324. Round i to 0 decimal places.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:01 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11616 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*s = 23, 0 = -2*z - s + 1. Let u be 6*5\/15 + z. What is the tens digit of 13 + u\/((-10)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23390 - -14786. List the prime factors of (-3)\/(-2)*s\/(-54).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47c (base 16) in base 10?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3296 * -0.049\nAnswer: -161.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6318\/(-1458))\/(26\/(-36))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -8. Let j = c + -1. What is the second derivative of -2 - j + 3 - z**2 - 3*z wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*f + 655*f + 69210 = 3041*f for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20807964?\nAnswer: 2, 3, 19, 29, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35666 < 35663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(2 + 0 - 4)*(1193 + 9*y - 1193) to the form s + m*y and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23881 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + (-36)\/(-56). Let n be (-7)\/(-30) + 4\/(-10). Put -0.5, p, n in increasing order.\nAnswer: -0.5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.371 - 199.371. Let w = 199.0029 + l. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -k - 22 - 3, 0 = 5*w + 3*k - 65. What is the greatest common factor of 85 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 7*x + 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9 + 14\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 161*j - 156*j = 0, 4*n + j = 10. Let w(t) = -t - 5. Let k be w(-5). Suppose k = -6*v + v. Solve v*a - 2*a = -n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 163585 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2. Let i(d) be the first derivative of -3*d**2\/2 + 7. Calculate g(i(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2504 and -57\/88.\nAnswer: 27544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b - 3)*(2*b + 0 + 0) + 2*b**2 - 2 + 2 + 15*b - 15*b + 3*b**2 - 4*b**2 - 15 + 15.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 34, 13, -32, -107, -218?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 + 680 = 2*w + 5*b, 5*b + 20 = -116*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2148 and 276.\nAnswer: 49404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2759933, -2759932, -2759931, -2759930?\nAnswer: -2759929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.1 - -7. Let q = 0.1 - r. Is q smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/4 + 39033*k**3\/4 - 528039*k**2\/2.\nAnswer: 3*k**2*(k - 27)*(k + 13038)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -76\/7 (b) 1948 (c) 2 (d) -0.5 (e) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - h = -105, 2*h = -h + 15. Suppose y = 4*b, -6*b + 3*b + 25 = 5*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 164555612.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 7*h**2 - h - 5. Is r(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 32*s + 0*s**2 - 5*s**2 - 32 - 27*s**2 - 120*s**3. Let p(t) = 11*t**3 + 3*t**2 - 3*t + 3. Give 3*m(j) + 32*p(j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50030663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231131 (base 5) to base 7.\nAnswer: -33113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3167.3 + 3929.\nAnswer: 7096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 1, b: 1}. Give prob of sequence bkb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 286 + 365*i + 364*i - 727*i in the form o + f*i and give o.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518549?\nAnswer: 29, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2390197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4 + 408*z**3 - 404*z**2 - 408*z + 406 = 0.\nAnswer: -1, 1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a - 5*v = -50*a + 5, 5*v = -3*a - 10. Solve -2*d + 4*r + 9 = -a, d = 3*r + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3203 - 41223?\nAnswer: -44431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6829878952 to the power of 1\/2, to the nearest integer?\nAnswer: 82643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/2 - 1297*h**4\/2 - 1941*h**3.\nAnswer: -h**3*(h + 3)*(h + 1294)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.831 - 0.369. Let v = 65 + i. What is v rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 2.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*o**2*u**2 + 2860170*o**2 + 5060*u**2 with respect to u.\nAnswer: -488*o**2*u + 10120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 4, i: 2, z: 2}. What is prob of picking 2 z and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 76.345. Let h = m - -0.045. Which is the nearest to h? (a) 4 (b) -7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1766 = -4*c - d + 1002, 5*c = -2*d + 3463. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1530130126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48\/5 of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(-3 + 1 + 3) + 5 - 4 - 3)*(5*d - d - 2*d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 615, 616, 617, 618, 619, 620?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -427, -423, -419, -415?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16268 - -50265. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 18380167?\nAnswer: 18380160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1538278 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 69 = -29*n - 97. What is the closest to n in -1, -2\/5, -15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 57 + 71 + l + l - 110. Let m = -11 + 5. Calculate the remainder when c(m) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + 0\/3 - -3. Let k = r - 9. Suppose 5*g - 63 = -3*q, g - q = -k*q + 16. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50730 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-6) + (-6)\/9. Let y(o) = -o**3 - o**2 + 4*o + 7. Suppose s - 6 = -4*s + 4*d, 3*s - 2*d = 2. Let i be y(s). Solve 0 = i*l + 9 + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700457?\nAnswer: 131, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**5\/4 - 145*k**4\/12 - 275*k**3\/6 - 135*k**2\/2 - 176*k. Suppose h(u) = 0. What is u?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.034 to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x**3 - 1368*x**2 + 1698*x - 332. Let m(g) = -26*g**3 + 2735*g**2 - 3394*g + 660. Let p(k) = -2*m(k) - 5*s(k). Determine w, given that p(w) = 0.\nAnswer: 1\/4, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*s**5 + 2*s**4 - 862*s**3 - 45675*s**2.\nAnswer: 360*s**2 + 48*s - 5172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:20 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t + 3. Is 16 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 123 = -4*f - 3*x, 2*x + 219 = 5*f. Let v = 85490 - 85328. Calculate the remainder when v is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n + 81. Let h = 27 + n. Solve h = 4*m - 2*d - 18, 7*m = 2*m - 3*d - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1*sqrt(55)\/sqrt(5) + sqrt(44)\/sqrt(4)*-4 + -3*(sqrt(1584) + 0 - sqrt(1584)) + -3)**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417483275 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -40.99\nAnswer: -4.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 184 = -8*l. Calculate the remainder when l*(8\/(-28) + (-5)\/7) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {l: 3, c: 1, g: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 + 40 = 8*p - 23*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(42) - sqrt(210)\/sqrt(5))\/sqrt(6) - sqrt(84)\/sqrt(300)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/132*-7)\/(12\/66).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97047187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -298358, -298374, -298390, -298406, -298422?\n\"Answer: -16*x - 298342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794335741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-3*2\/(-2). Let m be (-2)\/8 - 82\/(-8). Suppose 4*z = 3*f + m, o*f + 2 = 4*f. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2801*j - 1335*j - 1435*j. Let h(r) = -4*r - 3. Calculate h(s(k)).\nAnswer: -124*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggzzzzzzzggg. What is prob of sequence zzz?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + -8)\/1*(-138)\/69?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/((-7)\/(-14)). Let n be (19\/(-5) - -4)*-5. Put n, 5, x in increasing order.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.99087 to 1 decimal place.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 380105.7 nanometers in micrometers?\nAnswer: 380.1057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*a - 0 + 2, 0 = -2*l - 2*a + 4. Let r(y) = y**3 - 5*y**2 - 5*y - 2. Let q be r(l). Suppose 2*j - q*j = -54. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0 + -4 - 2. Let i = -2.9 + 3. Let d = -0.1 + i. Which is the nearest to 2\/7? (a) d (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1987 - -7953. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 2. Suppose 0 = 5*o - b, -3*o - 2*o + 4*b - 15 = 0. Let n = 1 + o. Calculate p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -3\/301?\nAnswer: -3\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27073214 by -119.\nAnswer: 227506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3 - 269880*t**2 + 22961223*t - 22691340 = 0.\nAnswer: -90045, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 + g**2 + 2*g + 1. Let p be o(-1). Let q be (-2)\/p*(6 + -2). Factor -z + z**3 + 2 - 2 - q*z**2 + 2.\nAnswer: (z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -16. Suppose -z - j = 2*z. What is the third smallest value in z, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2940258059?\nAnswer: 163, 929, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0\/r)**(-1\/6)\/(r**(-2)\/((r**(2\/5)\/r)\/r)) assuming r is positive.\nAnswer: r**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*(170 + -97 - 100).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 - 1647 = 22*y. Which is bigger: y or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -28?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g = 32*g - 108. Let b(j) = -j**2 - 26*j + 4. Calculate the remainder when b(g) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -1.3 (c) -1\/4 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 93 = p - 91, 0 = 3*a + 2*p + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20756315?\nAnswer: 5, 29, 43, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (6 + -6 - 3) - 7) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1041118 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*234.6.\nAnswer: 328.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -9\/4 (c) -21 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 110029*g + 220054.\nAnswer: (g + 2)*(g + 110027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -0.31. Let k = 0 + v. Which is the closest to k? (a) 1\/2 (b) -2\/9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 69*c + 1. Let t(a) = -325235*a. Determine t(p(v)).\nAnswer: -22441215*v - 325235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(637) - sqrt(637)*1*5 - sqrt(637)) + -3*-2*sqrt(637) + -2 + 2)**2.\nAnswer: -56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 3811, 0.4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1943 and -42731\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 447.9265cm?\nAnswer: 4.479265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63340 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/2, -1, -2\/7, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011000001010111100000?\nAnswer: -1011000001010111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s. Suppose 4*t + v = 9, 4*v - 22 = -2*t - s*t. What is the units digit of t + 2\/(6\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 2, a: 6, r: 4}. Give prob of sequence aagg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h**4 + h)*(214 + 99 - 92).\nAnswer: -442*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/6905)\/6*15. Let z = -97751\/27620 + b. Find the common denominator of z and 33\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 7*d**3 - d**3 + (-4*d + 0*d + 2*d)*(d**2 - d**2 - 3*d**2) - 40*d**3 - 13*d**3 + 5*d**3 + 0*d**2 + 0*d**2 + 2*d**3.\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6417727?\nAnswer: 2029, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*18\/(-3)*193\/(-9). Let k = j - -2738. What are the prime factors of k?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803097651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -5*h**4\/24 + h**3\/6 + 559*h**2 + 2. Let d(c) = 14*c - 3. Determine 6*d(k) + 17*q(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.95 - 29.89. Which is smaller: 53 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2604893536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*t - 50 + 99 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1915 + -4?\nAnswer: -1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155698*h + 155745*h - 1128 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 divided by -78?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/14178 and 79\/66164.\nAnswer: 198492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 13*m - 33. Let v be f(-9). Suppose -c - 101 = -5*q, -5*q = -3*c - 93 - 0. Calculate the highest common factor of q and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p - 5*p = 15 + 300 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14610 and 150.\nAnswer: 73050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2862*k + 2851*k - 8591*k + 2145 = -2823*k for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 94*j**2 - 134*j + 3707. Let i be w(95). Solve 0 = 2*p - i*v - 24, 9*v + 38 = 4*p + 7*v for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 95*d + 100.\nAnswer: -5*(d - 1)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*g + 1020, -124 + 1144 = 5*a - g. Suppose -2*n + a = 3*s, 3*n - 134 = -2*s - 3. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:05 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 15*z**2 + z**3 + 65 - 32 + 14*z. Let x be y(16). Solve -2*j = 2*l + 2, -5*l - x = j - 0*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.013 + -0.043. Let g = 28.97 + -28. Let i = g - h. Which is the second biggest value? (a) 3 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0*o**2 + 4*o + 0*o**6 + 0 + 1\/45*o**5 + 0*o**4 - 1\/27*o**3 - 1\/189*o**7. Factor i(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11389838 * -2\nAnswer: -22779676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*r + 3802 + 5874 = -10488 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.3080427 rounded to 1 decimal place?\nAnswer: -494.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 30*v + 1029. Calculate the remainder when 545 is divided by u(-33).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -567*c**5 - 594*c**2 - 1354509*c.\nAnswer: -11340*c**3 - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-6)*(2 + 0). Suppose -4*m + 16 = -z*m. Suppose 18 = d + 2*d. Calculate the remainder when m is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4979 - 1659 - 1659 + 57*z - 1661.\nAnswer: 57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/60 - w**3\/6 - w**2 + 27*w. Determine p(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 41*w + 29. Let x be n(22). Let v be 2\/6 + (-226)\/(-6). What is the highest common factor of v and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 2*m**3 + m**3 + (4*m**3 - 2*m**3 - m**3)*(-934 - 1485 + 1855) as s*m + j*m**2 + o + q*m**3 and give q.\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(14)\/(sqrt(128) + 2*sqrt(128) + sqrt(128)) + ((sqrt(847) - (1 + sqrt(847)))**2 - sqrt(7) - (sqrt(7) + (2*sqrt(70))\/sqrt(10)))).\nAnswer: -6 + 381*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 72.715. Let a = 0.408 + x. What is a rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13223*n**3 - 5761*n - 2?\nAnswer: -79338*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38221, 38532, 39051, 39778, 40713, 41856?\n\"Answer: 104*i**2 - i + 38118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, y: 11, i: 1}. What is prob of picking 1 i and 1 c?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 9447240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -121, -397, -927, -1795, -3085, -4881?\nAnswer: -7267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 0*p**3 - 3*p**3)*(-6*p + 3*p - 4*p)*(-4 - 3 + 4).\nAnswer: 21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.07 (b) -0.1 (c) -4040 (d) 4 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475193.1 micrograms to tonnes.\nAnswer: 0.0000004751931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-580)\/(-15)) + (-43)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 8*v - 503*v - 21 in the form q + c*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 107004594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -160?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**4 - 79*c**3 + 2402*c**2 - 102499*c wrt c?\nAnswer: 48*c**2 - 474*c + 4804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6956 is divided by 1193.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p - 11*p - 2 + p as r + i*p and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12716*d**2 + 205*d + 13. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265080 by 141.\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 8*v - 24. Suppose v*p + 3732 = 16*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*f*i + 2*c**2*i + 60*c*f*i**2 - 1001*i**2 wrt f?\nAnswer: -3*c**2*i + 60*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -51, -33, 5, 69, 165?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447515771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(20\/(-716)) - -5. What is the highest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9793, 18691, 27589, 36487?\n\"Answer: 8898*i + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2414 - 2414.000633. Round l to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004189 to seven dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -594094*x**4 - 1782264*x**3 - 1782228*x**2 - 594040*x + 18 = 0. Calculate x.\nAnswer: -1, 9\/297047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let m be n(-7). Suppose -27 = -4*c - u, 4*c + 2*u - 36 = -2*u. Let k(f) = f**2 - 3*f - 11. Let b be k(c). Is b at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.358 * -2.8001.\nAnswer: -17.8030358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -g, -15*n = -3*g - 11*n + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3 = 3*h. Let a be h\/(-5) - (-248)\/40. Let i = -5 + a. Solve -2*g = -g + i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (476\/(-595))\/((-2)\/(-5)*6\/(-42)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*g + 520*g = -1110. Solve g = -2*v + 111 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = n - 17, -2*q - 99 = 2*n - 7*n. Suppose -n*o + 16*o - 213 = 0. Let b = o + 73. Solve w = -0*w + b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - -4. Let f = u - 19. Suppose -4 = -16*k + f*k. Let p(z) = -z**3 + 4*z - 6. Let q(h) = 3*h - 5. Give k*q(i) + 3*p(i).\nAnswer: -3*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3*y*z**2 - 507*a**3*z**3 - 2*a**2*y*z**3 - 16*a*y*z**2 + 4*a*z**2 wrt z?\nAnswer: -3042*a**3 - 12*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p**(-1\/6))\/(p\/p**(-6)*p**(-2\/3)))**(-1\/5) assuming p is positive.\nAnswer: p**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -7*u. Let t be -6 - -1 - (u - 0). Let f(d) = d + 3. Determine f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -363?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 12485.\nAnswer: 12485.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2 + 3\/6. Let m(i) = -i + 38. Let y be m(16). Suppose y = 4*j - 30. Solve -3*q = -k + 2*k - j, d*q - 5 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8)*-2) + sqrt(3) + (sqrt(3) + 1)*-6 + sqrt(3).\nAnswer: -9*sqrt(3)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 2034116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*s + 4 = 0, f - 4*s - 1 = 3. Let g be (-4)\/14 - 117\/(-42). What is the biggest value in f, g, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/33 and 133\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nygyy. What is prob of sequence nyg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*l + 171*l - 36*a = 12, -5*l = -5*a + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyllxlyqyqii. What is prob of sequence ykqi?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 6. Suppose 0 = 3*u - 5*f, -2*f + 16 = 3*u - u. Let g(j) = -2*j + 7. Calculate u*g(r) - 6*s(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -0.2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.030886 days to nanoseconds.\nAnswer: 521068550400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3776837 micrograms to kilograms.\nAnswer: 0.0000000003776837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 15*d + 17 + 41 - 8*d - 41 + (2 + 2 - 2)*(-2*d + 2*d + d) + 2*d + 0 + 0 to the form s*d + r and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.780948g to kilograms.\nAnswer: 0.004780948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/60 and -63\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 395*g**2 + 1482*g - 1482*g in the form k*g + f*g**2 + w and give f.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0.3 (c) -11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4268 + 10280. What are the prime factors of k?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68747)\/(-183) - 2\/3. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -198928, -185727, -163732, -132949, -93384, -45043, 12068?\n\"Answer: -p**3 + 4403*p**2 - p - 203329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -1475 + 605. What are the prime factors of z?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 1:09 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -43?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35054516*q**3 + 33157078 wrt q?\nAnswer: -105163548*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.861313436 to four dps.\nAnswer: -0.8613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -5\/3 (c) -0.1 (d) -10 (e) -0.4 (f) -54 (g) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 - 3. Suppose 4*q - 36 = -4*m, 7 - 2 = 5*m - 3*q. Which is the third biggest value? (a) w (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.8344, 0.1, -0.04, -1\/3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.033 - -0.03300208. What is i rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -1\/20*m**5 + 0*m**3 + 0*m + 1\/4*m**4 + 0 + 22*m**2. Suppose d(c) = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790201?\nAnswer: 790201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (269434\/(-2376))\/(-37) - 2 and -19\/51.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vktwikvvikk. What is prob of picking 1 t and 1 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.415518 rounded to one decimal place?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let z be (-4)\/(-10) + 1*(-168)\/20. Let s be 2*(z\/(-10))\/(3\/15). Let t(j) = 7*j**2 + s - 8. What is t(n(q))?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from gggggggmmmg.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/((-300)\/27620))\/(2\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:30 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 125 = -4*h - 37, 0 = -h - 2*p + 29. What is the smallest common multiple of 9 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(10\/(-12)) + 384000\/11300 + -28?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1032*v - 16117564 + 16117564 to the form z*v + f and give z.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932029668 a multiple of 1149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0517 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:20 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/39)\/((-10)\/(-90)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 1, 5*l + 0*c - 2*c - 28 = 0. Suppose t + 2*m - 10 = 6*t, 0 = -3*t - m - l. What is the units digit of (-605)\/(-33) - t\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f + 13. Let c(i) = 4*i - 7. Let n(x) = -11*c(x) - 6*h(x). What is n(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11215545 is divided by 179.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 - -101?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + ((4 - 3) + 3 - -7) + -2 + -13.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -112*i + 4. Let p(s) = -352*s + 12. Calculate 16*j(d) - 5*p(d).\nAnswer: -32*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -518.81053 rounded to 0 dps?\nAnswer: -519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 6 = -13*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 14. Let t be ((-32)\/u + 2)\/2. Let a = -148\/371 + 6\/53. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177085*y**2 - 917*y**3 - 177085*y**2 - 432*y - 128*y**3 wrt y?\nAnswer: -6270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*66*8\/(-84))\/((-294)\/(-1029)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 6*n + 8. Suppose -2*l = 5*h - 5, -3*h + l + 3 = 5*l. Let d(p) = -p**2 + p + 1. Suppose 4*r + 20 = -4. What is h*o(t) + r*d(t)?\nAnswer: 5*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320255 + -7?\nAnswer: -320264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 30*t - 102 = 0. Let x(h) be the third derivative of 0 - h**t - h**2 + 0*h + 1\/12*h**4. Calculate x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1505\/6 + -751\/3. Which is the closest to 2\/7? (a) j (b) 0.3 (c) -15\/13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 14\/(-6)*-2. Sort 1, a, -6, 0.1 in decreasing order.\nAnswer: 1, a, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 4 + 4 + 21*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:05 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 7. Let c(z) = -z**2. Calculate c(d(x)).\nAnswer: -25*x**2 - 70*x - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-12))\/(70\/(-1092))*((-350)\/15)\/7?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24851465.\nAnswer: 5, 179, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = -3*g, 6*r = -3*g + 2*r + 29. Suppose g = 2*p - 5. Suppose -2*i - 14 = p. Is i bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -185715 in ascending order.\nAnswer: -185715, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -32.4. Sort 2, 2\/3, -5, a in descending order.\nAnswer: 2, 2\/3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*u = 15 - 27, t + 18 = 3*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**4 - 12*h**3 - 18*h**2 + 8*h + 13. Let p(c) = c**4 + 13*c**3 + 19*c**2 - 9*c - 12. Let y(w) = 6*d(w) + 5*p(w). Factor y(n).\nAnswer: -(n - 1)*(n + 2)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -140.3. Which is the biggest value? (a) -2 (b) j (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 35634?\nAnswer: -35631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 361890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**3 + 11*h**2 + 17*h + 5. Let a(y) = -4*y**3 - 5*y**2 - 9*y - 2. Let r(q) = -5*a(q) - 3*b(q). Give r(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301 greater than 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 568663.2 days?\nAnswer: 49132500480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/2)\/(-200))\/((-992)\/2232)*(-8)\/(-6)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/((-165)\/(-10))*4\/(-8). Let c = -11 + 43\/4. Sort 2\/19, x, c.\nAnswer: x, c, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -700608?\nAnswer: -2802432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -81*k**6\/10 + 837*k**5\/20 + 53*k**4 - 66*k**3 + 24*k**2 - 51*k. Find f such that u(f) = 0.\nAnswer: -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 3, y: 2, t: 8}. Give prob of picking 1 l and 1 x.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-24))\/((-448)\/512)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*r - 0 - 10, -2*r = 2. Solve i + 60 = -24*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005330492 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -4. Suppose 18 = 7*m - d*m. Let j = 13 + m. Sort 4, 0, j in descending order.\nAnswer: 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*u - 3*w - 30, -3*u = -2*w - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -0.1, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.044 and -0.5.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 3.8 (b) -94 (c) -1 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w**3 + 2*w**2 - 5*w - 3. Let k be (-126)\/35 - (-6)\/10. Is s(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 950285?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 4*a**4 - 3*a**4 + (a**4 - a**3 + a**3)*(24 - 10 - 5) + 12*a**4 - a**4 + 5*a**4.\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwr when three letters picked without replacement from rrrwrwrrrwrrwrrrrww.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89\/411 + 518867\/411. Let s = g - 1223. Let c = s + -40. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 1347?\nAnswer: -20\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -1 + (272 - 274)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 239*i**2 - 14126*i - 264. Determine n(-107).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 1. Let m be (p + -3)\/(2 + -3). Let l be 0*(2\/m)\/(-1). Is l at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 12*c**3 + 4744*c**2 + 24980*c + 7800 = 0?\nAnswer: -390, -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-6 - -2)*(2 + (-843)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/99*((-18)\/4)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(4\/7)*y)*y**(-1\/7)\/y*(y**2\/y)**42*((y\/(y**(8\/7)\/y))\/y**(-3))\/((y**(2\/5)*y*y)\/(y*y**(4\/7)\/y)) assuming y is positive.\nAnswer: y**(1481\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8993 (b) -2\/11 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.074306550937.\nAnswer: -0.574306550937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - -1. Suppose -3*v = -v - 28. Calculate the remainder when c is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -45\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 h when four letters picked without replacement from eheeeeehe.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 5*t**2 + 2*t**2)*(7 + 10 + 6)*(-1 + 8 + 1) - t**2 - 2*t**2 + 5*t**2.\nAnswer: -366*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(162) + -4 + sqrt(162))**2.\nAnswer: -1328 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + -14. Let h = -37898.068733 + 37684.0684. Let i = h - q. Round i to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/8 + -2 - (-108)\/16. Let b(n) = 3*n**2 - 8*n - 5. Let j be b(-5). Suppose -w*m + j = -m. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*n**2 - n**2 + n**2)*(-n - 2*n - 2*n)*(2*n**2 + 0*n**2 + 0*n**2).\nAnswer: 600*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1644 (base 15) to base 2.\nAnswer: 1001010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 0.5. Let g = 11 - 9. Let x = -1\/19 + 41\/57. What is the nearest to x in g, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 3*i - 3. Let v(r) = -106*r**2 - 4*r + 3. Let h(g) = -61*g**2 - 2*g + 2. Let o(d) = 7*h(d) - 4*v(d). Calculate -2*l(u) - 3*o(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2143308, -2143312, -2143316, -2143320, -2143324?\nAnswer: -2143328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 1, i: 5, b: 1, k: 1}. What is prob of sequence wk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*y - 10 = 0, 4*o - 5*y - 12 + 2 = 0. Suppose d = -a - 7, o*a - 5*a = 3*d + 27. Let l = 20519 + -20519. Sort a, l, 2 in ascending order.\nAnswer: a, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**7\/840 - t**6\/240 + 3*t**5\/20 + 5*t**4\/3 - 26*t. Let n(f) be the third derivative of d(f). Find a such that n(a) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = i - 14, -3*i + 2 + 10 = 0. Find the second derivative of -3*v**5 - v - 1 + 3 - h wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/60 - 10\/(-25))\/(-1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/84 - j**5\/8 + j**3\/3 + 3373*j. Solve i(t) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 12\/21 + (-17592)\/(-84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3266*a + 1544*a**2 - 1544*a**2 - 3266*a - 73*a**3.\nAnswer: -73*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -x - 5, 3*x = -2*m - 2543 - 2541 + 5069 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55068\/22464 - (-4)\/2*-1 and 151\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-339)\/9506 + (-254)\/(-6223))*(5 - 7)?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2330393 micrometers?\nAnswer: 0.00002330393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20 - (-3)\/(-6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/123 and 13\/22509.\nAnswer: 22509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 + w**3\/6 - 7*w**2\/2 - w. Let y = -17 - -19. Suppose 3*h + y*g + 10 = 0, -5*h - 5 = 3*g - 2*g. Give c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -1. Which is the third smallest value? (a) 2\/13 (b) z (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3 + 11 - 2*b**2 - 2*b**3 + b + 4*b + 1. Let n be j(-4). Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271469 smaller than -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -12, 6*b = 2*b + 2*o. Solve 5*q + 12 = b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337921561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.0078 to one decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-26 - -13) - (-3 + -61 - -14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27462?\nAnswer: 2, 3, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89.999941 - -90. Round m to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from rbddjdjrdrjudjk.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-19))\/(0 - -1) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954786647.\nAnswer: 954786647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = 5*f - v, -25 = -5*f - 5*v. Suppose -2*o - 2 = f. Let y(b) = -52 - 5*b + 52. Give y(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -2 + -5)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let h be (1 + -1)*(-18)\/(-90). Suppose 12*f - 14*f = h. Solve s - y = -f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 - 3*c**3 + 5*c**3 + (-c + 0*c + 0*c)*(c - c + 2*c**2) - 6 + 3*c**3 + 6 + 0*c**3 - 3*c**3 + c**3 + (0 - 2*c + 0)*(7*c**2 - 4*c**2 - 2*c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 52*x - 4*o + 23 = 0, 3*x + o = 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2 - 8) + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6 + 5 - 2 - 13*z. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-5 - -8) - (4 + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - 5\/(-70)*-32. Let s(a) = -6*a - 12. Let b be s(m). List the prime factors of b + 6\/((-30)\/(-895)).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*v**4 + 570*v**4 - 132*v**4 + (-21*v - 26*v + 26*v)*(-v**3 - v**3 + 0*v**3).\nAnswer: 517*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.231 + -17.031. Let a = -1.3 - -1. Let s = -0.2 + a. Sort s, h, 3\/4 in descending order.\nAnswer: 3\/4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.86 + -4.7. Let h = d - 0.36. Let u = -0.0962 - -5.0962. Put 0.12, u, h, 4 in decreasing order.\nAnswer: u, 4, 0.12, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + t - 1. What is v(-3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*c**2 - 90*c + 85*c + 79*c + 69*c**2 + 152*c to f + t*c + a*c**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2856.996034 + -2857. What is p rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422343*y**3 + 6*y - 12199 wrt y?\nAnswer: 2534058*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -123 - (-31 - -128)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015418799669 to seven dps.\nAnswer: -0.0154188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.89 - 10581627.0418.\nAnswer: -10581625.1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(15\/18))\/((-10)\/(150\/(-9))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/20 + t**2. Let l(f) = f. Determine l(d(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i + 14*i + 25*i.\nAnswer: 62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -48*a - 2976. Determine z(-62).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111213\/56 - 1986. Is 1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 18, 38, 66, 102?\n\"Answer: 4*v**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -32*t - 980. Let j be z(-31). Sort -52, 4, j in increasing order.\nAnswer: -52, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*n + 66 = 551*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 21*f**2)*(0*f + 11*f + 2*f).\nAnswer: 273*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + 3*m)*(-m - 2*m + 2*m) - 1 + 2*m**2 + 1 + 4*m**2 + m**2 - 2*m**2 + 2*m - 2*m**2 + 2*m**2 + m**2 + 37*m**2 - 1475*m + 1475*m.\nAnswer: 39*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 793*i**3*s**2 - 13*i**3*s - 7272*i**3 + 412*i**2 + 148134*i*s**2 wrt i.\nAnswer: 4758*s**2 - 78*s - 43632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1232)\/(-40))\/((-1078)\/(-980))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/2 (c) -0.076 (d) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3035553 (base 6) to base 12\nAnswer: -6bbb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/280 + 3*p**5\/140 - 5*p**2. Determine r, given that i(r) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 716 = 5*y - v, -5*v - 880 = -5*y. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -206265, -206260, -206243, -206208, -206149, -206060?\n\"Answer: v**3 - 2*v - 206264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 5*m**2 - 2*m**2 + 3*m**2 - 5*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/9)*r*r**6*r)\/((r\/r**(2\/3)*r)\/((r**(2\/5)*r)\/r))*(r\/(r*r**6))\/(r**6*r)*(r**(-1)*r)\/r**(-5\/4) assuming r is positive.\nAnswer: r**(-623\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let c(h) be the third derivative of 0*h + 0*h**3 + 0 - 3*h**2 + 1\/24*h**4. Calculate -2*c(n) - t(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174908.\nAnswer: 2, 73, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/30 - 17*i**4\/24 - 23*i**3\/6 + 522*i**2. Determine y(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 83, 409, 1075, 2195?\nAnswer: 3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)\/(y*y\/(y*y\/(y**(-23)\/y*y))))**(4\/13) assuming y is positive.\nAnswer: y**(458\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - p + 0 = -31 + 14, -3*b + 15 = 3*p for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cncw when four letters picked without replacement from nwdsdwdndnddksndcdcn?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) - (-2*(sqrt(1539) + 0) + sqrt(1539) + sqrt(1539) + sqrt(1539)))**2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70, -83, -110, -157, -230, -335, -478?\n\"Answer: -r**3 - r**2 - 3*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/2, 108, 69, 336, -1\/5 in decreasing order.\nAnswer: 336, 108, 69, 1\/2, 0.2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*q - 12*q + 15*q)*(-10*q + 39*q - 2 - 19*q) to the form s + m*q + t*q**2 and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157697521 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-3 - 0))\/(-3). Suppose -6*q + 4*q = o. Suppose q = -3*x + 2*x + 33. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5 + 3 - 5) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 - 5*q - 6. Let x be m(6). Suppose x = -13*d + d + 168. Calculate the smallest common multiple of 16 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -903 - -912. What is the greatest common divisor of z and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2365 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 1302301130?\nAnswer: 1302301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 6*o + 4. What is x(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omlm when four letters picked without replacement from {l: 7, m: 6, o: 6}.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -773\/2 + 388. Let q be (1 + 0)\/(9\/2). Which is the closest to q? (a) -1\/7 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6558.7 - 3282.\nAnswer: -9840.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 - 3*t**2 - 91 + 40 - 2*t**3 - t as n*t + i*t**3 + o + s*t**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42992.38ml?\nAnswer: 42.99238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - i + 1. Let y be d(1). Suppose k - 12 = -0*k - 3*l, y*k + 12 = 3*l. Let t(r) = r**2 - 17. Calculate t(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8152 (base 12) in base 15?\nAnswer: -4255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(243) + 1 + 5 + sqrt(243) + 0 + -3 + -3 + (sqrt(243) - -2*sqrt(243)) + (sqrt(243) - (sqrt(243)*1 + -4)))**2 + -5).\nAnswer: -18258 - 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 65, 4\/7, -0.4 in descending order.\nAnswer: 65, 4\/7, 2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*l + 5*x, -270*l + 14*x = -272*l + 84 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**8\/56 - 23*p**4\/12 + p**2 - p + 34. Let f(a) be the second derivative of u(a). Find the second derivative of f(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*o + 25 = 0, 3*g + 2*g + 2*o + 14 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*c + 1005*c + 3542 = -3486 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ftfffeefvveftfff.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 12*u**2 + 11*u + 2. Let a be (5\/(-3))\/((-2)\/12). Let h = a + -7. Calculate the remainder when h is divided by b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122341 (base 8) to base 5\nAnswer: 2322314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:56 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = 3. Let q be 5*2\/y*-4. Suppose 0 = g + 3*k - 21, g - 57 = -4*g - 3*k. Solve -v - 4*h - q = 0, -g = 7*h - 4*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/(-40))\/120*(-50)\/(-8).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aara?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u)**(-46)*(u\/((u*u\/((u*u*u*u**(1\/3)*u*u)\/u*u))\/u))**(-3\/4)*(u\/u**(-1\/3))**(7\/3)\/(u**(2\/7)*u\/(u**(-2\/7)\/u)) assuming u is positive.\nAnswer: u**(7604\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*i)*(-3*i**2 - 4*i**2 + 3*i**2) + (i**3 + 3*i**3 - 2*i**3)*(-1 + 0 + 8).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:40 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 577 = q, 3*y - 4*q - 174 = -776. Suppose 0 = 2*m + m + 372. Let j = m - y. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*1*4)\/((sqrt(100) + ((-2*sqrt(100) - sqrt(100) - sqrt(100)) + sqrt(100) + sqrt(100) - sqrt(100)))*6).\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 + 6*y**2 + 9. Let o(r) = 5*r**3 - 6*r**2 + r - 8. Let w(g) = -4*c(g) - 5*o(g). Determine w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*22\/((-176)\/(-136)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*w + d - 26, 0 = -w + 4*d + 19. Suppose 0*z + z + w*x - 71 = 0, 5*z - x = 291. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**4 + 42*d**2 + 33*d**2 + 9*d**4)*(0*d + d + 0*d + (0 + 1 - 2)*(2 - 2 - 2*d) + 3*d + d - d + (2 - 2 - 2)*(4*d + 4*d - 6*d) + 1 + 2*d - 1).\nAnswer: -8*d**5 + 300*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1152 and -83\/10.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -27*u - 240. Suppose -13*w - 216 = 148. What are the prime factors of n(w)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (2 - 9) + -1 - (7 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 619*i**4 + i**3 - i**2 + 51663*i - 10.\nAnswer: 7428*i**2 + 6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3.26 and -26489 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - o - 1. Calculate the remainder when t(3) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-75))\/(-2 - (-111)\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -29, -260, 1 in descending order.\nAnswer: 2, 1, 0, -29, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(sqrt(300) + 0)*-3*3)**2.\nAnswer: 2332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -0.03, -3\/4 in ascending order.\nAnswer: -74, -3\/4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 6 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83, 164, 243, 320, 395?\n\"Answer: -a**2 + 84*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2795 or 2682?\nAnswer: 2682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 19. Suppose -f + 9 = -p. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/5 (b) 2 (c) -1\/3 (d) 6 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 612\/289 - 2*1. What is the third smallest value in -0.3, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -478 greater than or equal to -53413\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3 + 3*a**2\/2 - 4*a - 3. Let m(o) = -o**3 - o**2 + 1. Let h(w) = -m(w) - t(w). Give h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*g + 290*g + 254*g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(468))\/(sqrt(48)*4 - sqrt(12)))\/(4*(sqrt(6)\/sqrt(2) + sqrt(3)) + -1*sqrt(243) - sqrt(27)\/(sqrt(36)*-2 - sqrt(36) - sqrt(9))).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 9*l + 12. Let s(u) = -u + 7. Let v be s(14). Let o be b(v). What are the prime factors of -6*(o\/12)\/((-5)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**4\/q))\/q)**(-5\/3)\/(q**(-3))**(1\/14) assuming q is positive.\nAnswer: q**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - 2 - -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 - 49*c**2\/3 + 2401\/6.\nAnswer: (c - 7)**2*(c + 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/3 - 888242*g**2 - 295865638082*g - 887594249522\/3 = 0 for g.\nAnswer: -666181, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = 0, 0 = 10*i - 8*i - 3*m - 53. What is the greatest common divisor of i and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose -2*u = 100 - 172. Suppose u = i*n + 4*n. Let b(z) = -z**2 + 6*z + 4. Give b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*b - 4, -7 - 5 = -3*q - b. Let p(f) be the second derivative of 6*f - 7\/12*f**q + 4*f**2 - 1\/20*f**5 + 0 + 1\/6*f**3. Give p(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 560*i\/3.\nAnswer: -i*(i + 560)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.35, 0.14, -0.1, 0.01, 3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38*4\/(24\/69). Suppose 3*b + o = 101. What is the tens digit of b\/(-12) + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108 - -112) + (-1 - (-2 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.8 + -42. What is the nearest to -3 in w, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44453301 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8213 plus -6294?\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a + 5. Calculate h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/89959 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -140625.\nAnswer: -1\/9375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 2261*b + 72688. Give t(-33).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5167 * -222\nAnswer: -1147074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 2203.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 45*f + 20. Let w(y) = 11*y + 5. Determine -2*b(g) + 9*w(g).\nAnswer: 9*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x + 124 - 3\/2*x**2. Let s(l) = 45*l. Give j(s(n)).\nAnswer: -135*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = 5*b, -64 = 5*b + 7*r - 71 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 32\/(-80) - 32\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus 26103956522384?\nAnswer: 26103956522383.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-24)\/(-10))\/(-1). Let f be -3 + (8 - 3) - 0. Suppose f*u - 5 = 4*u + 3*y, 0 = u + 4*y + 10. Solve 2*n + u*l - 1 = 3*l, -5*l - d = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((35\/10)\/7)*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 436*w - 1315. Give x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 18 + 12. Sort 2, a, 0, -5.\nAnswer: -5, 0, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6277 - 3528. What is k rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12450929\/4, -1 in increasing order.\nAnswer: -5, -1, 12450929\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/4 + 10*a**3\/3 + a**2\/2 + 11*a - 62. Let v = -3 - -13. Does 5 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(171) + -4*sqrt(171)*-6 - (sqrt(171)*2 + 4 + sqrt(171) + sqrt(171)))*5)**2 + -3.\nAnswer: -14490*sqrt(19) + 1885801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 + x**4 + 2*x**4)*(-585 + 141 - x + 62).\nAnswer: 2*x**5 + 764*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*u**3*v + 2*u**3*x**3 + 46*u**2*v*x - u*v*x**2 - 3*u*x**3 - 2*u*x - 85*v*x wrt u.\nAnswer: 882*u*v + 12*u*x**3 + 92*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*c**3*j**3 + 70*c**2*j**3 - 22511*j**3 wrt c?\nAnswer: 66*c**2*j**3 + 140*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 126091868 = 3*f + 3*m, 5*f + 210153136 = m. Let t = f + 71290628. What is t rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151, -196, -231, -250, -247, -216?\n\"Answer: c**3 - c**2 - 49*c - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a + 44 = -49*a. Suppose 0 = 5*k - 2*l - 160, 5*l - 50 - 78 = -a*k. Calculate the remainder when k is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/3 - 31*w**2\/2 + 686*w - 1. Give q(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3248 and -817?\nAnswer: -2653616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -678 - -7?\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = 0. Suppose 5*x - 9 - 156 = p. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17582.3 - -17582. Which is the nearest to -1? (a) 0.04 (b) 170 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:34 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155251 - -4?\nAnswer: -155243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 13 - 5 = -r, 4*r = -2*t + 60. Suppose -41*k + 167 = -76 - 85. What is the smallest common multiple of r and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 16*d + 3 to the form q + l*d and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -1361, -1 in descending order.\nAnswer: 19, 1, -1, -1361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8 (base 14) in base 2?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5) + (2 - (-2 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422*y**3 - 4296*y**3 + 1422*y**3 + 1449*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13104335 + -2?\nAnswer: 13104333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197853, 791407, 1780669, 3165645, 4946341?\n\"Answer: t**3 + 197848*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -799*p**3 + 6*p**2 + 6*p - 12. Let s(v) = -29563*v**3 + 221*v**2 + 221*v - 442. Give -221*f(z) + 6*s(z).\nAnswer: -799*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let f = 404 + -13733\/34. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1893 = 6*o - k, -3*o + k = -1419. Suppose -6*l = o - 96. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19590 + -19593. Sort -195, a, 2 in decreasing order.\nAnswer: 2, a, -195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20068\/1913 or -2\/7?\nAnswer: 20068\/1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1. Let v be h(3). Suppose 5*f - 4*y = 26, -4*f - v*y = -0*y + 8. Solve -f*j = j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16176069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:33 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -392.485 + 1.585. What is o rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*u + 5. Suppose -t = -5*c + 38, 3*t + 0*t - 2*c = -127. Let q = 65 + t. Calculate the lowest common multiple of u and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.7 (b) -17 (c) -1\/3 (d) 0 (e) 5.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6675707 to the nearest integer?\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.9 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -187*b**4 - 5*b**2 - 103*b. Let o(g) = 1029*g**4 + 28*g**2 + 567*g. Let x(f) = 5*o(f) + 28*p(f). What is the second derivative of x(r) wrt r?\nAnswer: -1092*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 459*p + 3627. Determine y(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4 - 4. Let w(d) be the first derivative of d**4\/4 + 4*d**3\/3 - 7*d**2\/2 - 5*d - 2. Let x be w(-5). Solve -q*s - s = -x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33295?\nAnswer: 5, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.2 (c) 1\/3 (d) 18 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 2)*4*-1)**2.\nAnswer: 64*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-102)\/(-867) - (-1372)\/(-8772). Let h be -2*(-2)\/(3 - 7). Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1268, -1, -7, 3 in increasing order.\nAnswer: -1268, -7, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 3, x: 1, n: 1, j: 2}. Give prob of sequence jj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*s**4 + 460*s**2?\nAnswer: 7560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-17) - 38\/323?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hooocxhaachh. Give prob of sequence hox.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00284025 rounded to five dps?\nAnswer: 0.00284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 - (-7 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 88. Let a(n) = n + 22. What is -26*a(f) + 6*l(f)?\nAnswer: -2*f - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6897808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/143 - 15839998\/(-11). Let s = 4 + 1. Suppose s*y - z = y. What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.6156685 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -8)*924\/(-16). Let h = d + 6928\/15. Which is the biggest value? (a) -0.5 (b) 26 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 80?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/6 - -11)\/((-2)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 1 - 1)*(-3*j**2 + 2*j**2 + 3*j**2)*(4*j**2 + 7 - 7).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 0, -5, 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6) + (-20)\/15. Suppose -2*b - o = 1, n = 4*b - 0*b - o - 7. Let k(d) = -8*d - 1. Calculate k(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 13825874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/36 and 67\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87566222.91 + 0.4.\nAnswer: -87566222.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/7, -1\/5, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 7 + 0)*(-2 + 3 + 0) + 324 - 99 - 101)*(-2*k**4 - 4*k**4 + 4*k**4).\nAnswer: -238*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*p + 339, 3*p = 4*q - 6*q + 343. Is 115 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111221 (base 6) to base 11.\nAnswer: 39106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose -5*c - 5*d = -825, -4*d = c + d - 185. Suppose -o = j*o + c. Round o to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555.5239 nanograms to kilograms.\nAnswer: 0.0000000005555239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 7878?\nAnswer: -7874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/11)\/l)\/l)**(-2\/11)*l*l*l\/l**(-15)*l*l**(2\/23) assuming l is positive.\nAnswer: l**(54085\/2783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-3)\/(-2) + -1). Suppose r = v - 0 - 9. What is the common denominator of -8\/5 and (-112)\/(-10) + v + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -9. Let p(r) = -2*r - 3*r + 4*r + 4. Calculate the smallest common multiple of 11 and p(a).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Let w(c) = 2*c - 3. Let p(d) = d - 2. Let b(k) = r*w(k) - 3*p(k). Calculate b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*m**4 - 3507*m**3 - 13695*m**2 + 20531*m - 3345 = 0. Calculate m.\nAnswer: -5, 3\/16, 1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74.5 - 73.9. Which is the third smallest value? (a) j (b) 89 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -b + 2095 + 305, -3*b + 2*r = -7190. Let l be b\/121 + (-3)\/((-33)\/2). What is the greatest common divisor of 56 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-6))\/s*s*s*s)\/(s\/s**(2\/31))*(s**(4\/7))**(-4\/3) assuming s is positive.\nAnswer: s**(4754\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 10:10 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -184200.\nAnswer: 552600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2080 and 1120?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwvqdqr. Give prob of sequence qwp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130))\/sqrt(10))**2 - ((sqrt(1872))**2 + sqrt(13) - sqrt(13) - sqrt(13)).\nAnswer: -1820 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1809505 (base 13) to base 2.\nAnswer: 11101110100101000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + -3)) + (19 - (6 - 8))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**21\/z**(9\/5) assuming z is positive.\nAnswer: z**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17779260 to the nearest integer?\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 315\/4 (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1129364?\nAnswer: 1129364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/11 and (-323)\/(-7752)*(-53)\/(-292).\nAnswer: 77088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000091194 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t + n - 8, 5*n = -t. Solve -c - 11 = -4*z, 0 = -0*z + t*z - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 531485, 531486, 531487, 531488?\n\"Answer: u + 531484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + y + 538, -5*p + y + 4*y = -1355. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vvbcbcmmmmbmbmbbbcv.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38252991 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2745812172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-33)\/(-44) + 42\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9264.1176 + 9263. What is g rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - -13 - -60) + 18\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 17. Let y = -5.99999928 - s. Round y to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 13*b**2 - 5*b**2 + 15*b**2.\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277 - 126. Let q = 671 - 969. Let i = 320 + q. What is the remainder when a is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, -4, -5, -5627, -6 in descending order.\nAnswer: -1, -4, -5, -6, -25, -5627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4046\nAnswer: 2\/2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p. Let s(t) be the third derivative of -6*t**2 + 0*t**3 + 0 + 0*t - 1\/12*t**4. Calculate s(k(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 67499 and -1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 782803 and 3?\nAnswer: 2348409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2698 + 13378\/5. Let t = f + 23. Which is the third smallest value? (a) t (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3348*q = 3399*q - 459 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/548212 and 163\/469896.\nAnswer: 3289272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 4, -0.5, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and -2*(2 + 14\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213914111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478 - 84*m + 74*m - 333 + 811.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -4, -0.3, -0.1, 12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/7 + 20\/21. Let q be 112\/180 - (-4)\/(-10). Let g = -1 + 0.5. Which is the closest to -2\/5? (a) g (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x - 184*x = 60*x - 17141994. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2359, -2358, -2357?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 9*z**2 + z - 12. Calculate d(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w + 5*s - 8 = -46*w, 0 = 4*w + 5*s + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -8) + 1 + -1. Suppose 3*o = -0*k + 5*k + 116, -80 = -h*o + 4*k. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 2*k**7\/21 + k**6\/6 + k**5\/20 + 209*k. Determine o so that l(o) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -18. Let g = n + -13. Let k = g - -21. Put k, 2, -4 in descending order.\nAnswer: 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 3, 0, -296, -2\/645, 5?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-255) + ((-51)\/(-45))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -770839 divided by -1.\nAnswer: 770839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let r(q) = 28*q - 7. Suppose -3*z = -4*s + 2, 5*z = 4*z + 4*s + 2. Let u(a) = -9*a + 2. Let v(l) = z*r(l) - 7*u(l). Give c(v(o)).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + (-608)\/(-20). Suppose 2*w - 33 = -5*h, -h = -w + 4*w - a. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14417 or -1\/8?\nAnswer: -14417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(136\/96) - -18. Solve -5*b = z - x*b + 5, 3*z + 3*b - 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349476.\nAnswer: 2, 337369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2759*f + 2756*f - 1 + 4 - 2*f + f - f + (-5*f + 4*f + 5*f)*(0 - 1 - 1).\nAnswer: -13*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322599 divided by -4.\nAnswer: 322599\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11278 > 78945\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-4))\/(-1)*12\/(-3). Suppose 0 = -a*o - 3*n + 1 - 36, 2*n = o + 7. Is 693\/o*(0 + 1\/(-3)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 4*g + 90. Let d(o) = -2 - 1 + 9*o - 4*o + 2*o. Let w(j) = -8*j + 4. Let n(m) = g*w(m) + 8*d(m). Let y(z) = -z**2. Give n(y(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 c when three letters picked without replacement from {y: 1, p: 1, o: 3, c: 3, x: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-109)\/(-1199))\/((-1)\/4).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*a**4\/8 - 138*a**3 - 4551*a**2\/8 + 3933*a\/4 - 270 = 0. Calculate a.\nAnswer: -15, -8, 6\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*j = 17, 0*g - g = 4*j - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 790?\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-54)\/(-28))\/9*15\/45.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.850031 to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h**3 + 4*h**2 + h - 20. Let p(j) = -3*j**3 + j**2 + j. Give -f(i) + 5*p(i).\nAnswer: 3*i**3 + i**2 + 4*i + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 66892.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769327 is divided by 6358.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 43735.\nAnswer: 3\/43735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30)\/(134\/335)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/17, 644, 0.08, -0.7, 2\/17?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252404 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -39. Which is smaller: j or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 7*t**2 + 7*t**4 + 1 + 2 wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*h - 1886705 + 1883505 = 0 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.7 - 23. What is the closest to -0.4 in -5, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m - 7. What is the nearest to -3 in m, -1\/3, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*u - 3*u, -5*q - u - 21 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264998109*q**3 + 151*q - 151*q + 1264998117*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 13*y + 2. What is a(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 0.5 (c) -1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/21)*w*(w*w*w\/(w*w**(3\/5)))\/w*w**3*w**(-11))**(2\/3) assuming w is positive.\nAnswer: w**(-1156\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 16*h**2 + 38*h + 21. What is the remainder when 618 is divided by w(18)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w - 746. Calculate b(-39).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.8054 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 1060.\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*3)\/((sqrt(132) - -1*sqrt(132))\/sqrt(11)) - -1*((sqrt(304) + -1 + sqrt(304) + sqrt(304))**2 + -5).\nAnswer: -27*sqrt(19) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 25*q - 9. What is t(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 22. Suppose 10 = 5*z - u. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/112 and 9\/40*(-3)\/((-315)\/190).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/29, -4, 0.135 in ascending order.\nAnswer: -4, -2, -2\/29, 0.135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96 + (-46 - (21 - 68)) - (-1 - -5)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 1 - 3*a + 4*a - 50*a**2 - a**3 + 61*a**2 - a**3 + a to b + k*a**3 + u*a**4 + l*a**2 + t*a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 72*h**2 + 13*h + 31. What is the tens digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(-3)*f)\/f)\/f*f)\/f**(1\/6))\/((f\/(f*f\/(f*f**(-2\/13)*f*f)))\/(f*f**5*f)))\/(f**(-1\/8)\/f**(-3\/2))**(3\/31) assuming f is positive.\nAnswer: f**(17933\/9672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 18 - l**2 + 0 + 8. What is the tens digit of z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**3\/51 + 8*h**2\/17 + 24*h\/17 + 78. Factor r(z).\nAnswer: 2*(z + 2)*(z + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 0*w + w**2 + (4*w - w - 5*w)*(-4*w + 6*w + 0*w) + (5 - 3 - 4)*(5*w**2 + 6694*w + 45 - 6694*w) to v*w + i + o*w**2 and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + c + 2. Let y be r(-5). Suppose 23 - y = -v. Which is smaller: v or -8\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.2, -0.6, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + 234201?\nAnswer: 234225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.31 (b) 8\/7 (c) 4 (d) 0.4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-6))\/(-16)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**7\/12600 - 7*r**6\/1800 + r**4\/12 + 4*r**3\/3 - 11*r**2 + 2. Let f(y) be the second derivative of z(y). Factor f(m).\nAnswer: m*(m - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 235*n + 2833. What is u(12)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -31*q**5\/60 - 128*q**2. Let c(f) = f**2. Let k(p) = 2*p**2. Let v(i) = -4*c(i) + k(i). What is v(o(u))?\nAnswer: -1922*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17684 - 17672. Solve p*m = -30*m + 168 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + -0.0499824. Round p to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-30429)\/981) - 4\/42.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.0132.\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32\/259 - 5\/259. What is the third smallest value in -2\/31, 2, j, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -893*s + 2. Let b(q) = 2679*q - 7. Determine 4*b(m) + 14*j(m).\nAnswer: -1786*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/15*(-12)\/24*-140*2\/(-7)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 - x - 4. Let q be k(3). Let w be (30 - 12) + (1 - -184). What is the greatest common divisor of q and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42806098871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-19))\/2)\/((-3)\/3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50084377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 79*y - 60*y + 33*y + 58*y + 38*y. Let u(c) = 7*c**2. Determine u(a(o)).\nAnswer: 153328*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -2 (b) -8 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = 39*q - 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2587 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 12. What is the units digit of n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/(-5)*75\/(-45). Let z be 30\/(-4)*x\/((-550)\/640). What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 138572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzpkkkpkkpp. Give prob of sequence zkk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 7 + 1. What is the biggest value in y, -0.0458, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.181?\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -302, -427, -528, -599?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1183309 and 182?\nAnswer: 1183127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8947066 rounded to three decimal places?\nAnswer: -2.895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 713*g - 2. Let v(c) = -4*c. Determine v(k(w)).\nAnswer: -2852*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = 2*r - 0*r, 0 = 3*y - 3*r - 6. What is the third biggest value in -13, y, 2\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11999.83 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 339*h + 1327. Let f be u(4). Which is the nearest to -1\/3? (a) -0.4 (b) f (c) -27 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008914 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -25 + -123 + 147.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 45 + 33. What is the third derivative of -41*k**6 + 5*k + 29*k**2 - 35*k**a + 2*k - 7*k wrt k?\nAnswer: -9120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388465 is divided by 705.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + -0.07. Let s = 4.32 + -0.32. Sort -2\/7, z, s.\nAnswer: z, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*q - 8. Let o be 470\/q*(-4)\/1. Round o to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4 + 3 - 98*z - 4*z**3 + 45*z - 4*z**2 + 51*z. Let s(a) = a**3 + a**2 + a. Give -2*s(k) - x(k).\nAnswer: 2*k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 28. Which is bigger: j or -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4344633 (base 7) to base 12.\nAnswer: 218073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/3 - w**2 + 3*w. Let a be i(2). Solve 0 = a*g - 5*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -7. Let s(j) = j**3 - j**2 + j. Let b(d) = 5*d**3 - 13*d**2 - 6. Let l(p) = -4*p**2 + 1. Let i be l(0). Let v(a) = i*b(a) - 6*s(a). Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108537.\nAnswer: 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/2 - 15*l**2\/2 - 75*l\/2 - 18. Let m(r) = 0. Calculate r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 26. Which is the third biggest value? (a) 1\/10 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b. Let p(f) = 7*f. Let n(j) = -4*p(j) + 5*v(j). Let a(o) be the second derivative of -5*o**3\/3 + 10*o + 3. Give n(a(m)).\nAnswer: -70*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48035\/27 - -1779. Which is the biggest value? (a) 4 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - -33. Let y = p - 79. Factor -1\/3*k**5 + 7\/3*k**2 + y - 2\/3*k + 5\/3*k**4 - 3*k**3.\nAnswer: -k*(k - 2)*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -5. Suppose 3*l + 2*l = -5. Let p be ((-30)\/(-24))\/((15\/12)\/(-5)). Sort l, s, p in ascending order.\nAnswer: p, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89 and -1.3?\nAnswer: -115.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 15 = 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406.96142 rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62994 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 66*o + 69*o + 7 - 141*o. Calculate the remainder when s(-7) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96076155 to the nearest one hundred thousand.\nAnswer: -96100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 * 2344\nAnswer: 161.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 + t - 2. Let d be n(2). Let p be (-2)\/(-8) - 605\/(-44). Solve 4*x + 10 - p = d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38502.07 litres in millilitres?\nAnswer: 38502070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - r = -271, 3*r = 2*r + 1. Suppose -x = -p + 6*p. Let u be p\/10 - 3\/15. Which is the third biggest value? (a) -2\/3 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1619467 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/24 - 6686\/(-48). Let z = 1207\/8 - b. What is the common denominator of -3\/16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 7, -3?\n\"Answer: -10*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 548 + 571. Suppose 6*l - 2*l - b = -3*h, l - 4*h = 117. Suppose 2*a = 1 + l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/7, -3, 1\/5 in descending order.\nAnswer: 2\/7, 1\/5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 63 = -4*a. Let g = -4 - -4. Suppose -2*q - w = -39, -5*w = q - g*q - a. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10103251303 + 2?\nAnswer: 10103251305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107282 is divided by 2434.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*h - 55 + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*x - 14 = -33 + 19. Let k(a) be the second derivative of -2\/3*a**3 + x - 26*a + 0*a**2 - 1\/6*a**4. Factor k(s).\nAnswer: -2*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -272*j - 9. Suppose -5*b = -b - 12. Let z be y(b). Let a be ((-272)\/2)\/((-22)\/z). What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 3*j + 6. Let q(o) = 6*o**3 + 2*o**2. Let v(z) = -33*z**2 - 96*z**3 - 30555*z + 30555*z. Give j*v(k) + 33*q(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -247, -242, -235, -226, -215?\n\"Answer: z**2 + 2*z - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10258 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291117648?\nAnswer: 2, 3, 6064951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdd when three letters picked without replacement from pddsdpssppddsp?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 83110, -2, -5, 3, -2\/9, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 17, 4258 in descending order.\nAnswer: 4258, 17, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 3180?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:13 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/645 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/20 - 7*x**4\/12 - 5*x**3\/6 - 5*x**2\/2 - x. Is t(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 1891620*n + 2236391390250.\nAnswer: 2*(n + 2364525)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9*u = -12. Suppose -u = -2*w + 16. Suppose 5*v = t - 14, -4*v + 115 = 4*t + 35. Calculate the remainder when t is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1789 - -1785. Let c = 176 + -116. Let o = c - t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x**2 - 5\/3*x**4 - 22\/3*x**3 - 4\/3 - 20\/3*x = 0 for x.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -176 (b) -4\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3.325, 0.1 in ascending order.\nAnswer: 0.1, 3.325, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.74029 + -80.07371. Let t = k + -0.186. Let z = 96.2 + t. What is z rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35784828 is divided by 17892405.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -4*f, 0 = -5*y + 6*y + f - 13. Solve -19*v + y = -23*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 24. Let x(y) = 2*y**2 - 5*y. Suppose -i + 3*b = -4*i + 27, 5*b - 37 = -4*i. Let w be x(i). Calculate the highest common divisor of w and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11084 * -0.5\nAnswer: 0.05542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 + -556\/3. Let q(x) be the first derivative of 7*x + 1\/4*x**4 + 1 - 2*x**2 + k*x**3. Calculate q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - t**3 + 4*t**2 - 4*t**2 + 2*t + 4. Let g be u(4). Let z be 4*(1 + 9\/g). Let q(p) = p**3 + 5*p**2 - 2*p - 7. Determine q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**3 - 2*d**2.\nAnswer: -d**2*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 55 + (1 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352*v + 1373*v - 546 = 0. Solve t - 3*y = 19, 2*t - 97*y + 93*y - v = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.219 - -47.318. Let h = m + -59.5. Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171352 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2\/2 + 1575*h\/2 + 19461 = 0. Calculate h.\nAnswer: -499, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35401176?\nAnswer: 2, 3, 337, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 7*b**2 + 5*b - 8. What is the remainder when 75 is divided by a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14163\/8 (b) -166 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21240000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -10\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u. Let g be (-12)\/(-1) - -3 - 2. Let x be (-36)\/234 + 15\/g. Let p be 3\/5 - x - 54\/(-10). What is l(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2145*r + 3*b + 69 = 2141*r, 6*b + 138 = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -46, -89, -168, -295?\n\"Answer: -2*b**3 - 5*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 65 = -5*l + 17492, 3*m = -l + 3475. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let g(s) = 19*s + 18. Suppose 3*i + 42 = -4*i. Let r(d) = i*x(d) + g(d). What is the first derivative of r(f) wrt f?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f + 13 + f**3 - 8*f**2 - 2*f**2 + f**2 + 3. Let w be y(10). Let x(z) = -z**2 + 9*z - 7. Determine x(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Let c = k + -7. Suppose -4*s - 5*f - 9 + 34 = 0, -f + 16 = 3*s. What is the biggest value in 0.4, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a - 202. Let x be c(-14). Suppose x*k - 3656 - 552 = 0. Is 60 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r. Let w(m) = 4*m. Let q(j) = -j**2 - 6*j - 5. Let s be q(-6). Let k(g) = s*w(g) - 6*t(g). Let c(f) = 295*f - 149*f - 142*f. What is k(c(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -57. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82417080.932198039 + -82417081. Let i = k + 32.067803861. Let l = -32 + i. What is l rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b887 (base 15) in base 9?\nAnswer: -146011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90213569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 11*j**2 - 7*j - 17. Let a = -153 - -141. Does 18 divide d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.6? (a) 0.072 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2010449604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(11) + -2 + sqrt(11))*-3)**2*-5.\nAnswer: -4185 + 1260*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**4 - 8*k**3 - 89*k**2 - 4*k + 20. Let y(f) = 2*f**4 + 9*f**3 + 88*f**2 + 3*f - 15. Let q(b) = -3*l(b) - 4*y(b). Factor q(t).\nAnswer: t**2*(t - 17)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1519 + -1479. What is the highest common divisor of 824 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 20. Let v(z) = -z - 39. Calculate 5*a(t) + 3*v(t).\nAnswer: 2*t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2436 + 0)\/(0 - (4 - 2)) and 462.\nAnswer: 13398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 727.1136 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u + 1. Let p be n(-2). Let i be (8 - p)*(-8)\/10. Let q = i - -7. Solve q*f - 2 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:27 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -3 + 7 + (-2 - (-14 + 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3) + (0 - 1). Let z be (4 - -10)*(-1)\/o. Calculate the greatest common factor of z and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5 = 2*y - 3*y, -r = -2*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -g - g. Let y = 22 - g. Solve 5*n = 15, 4*n = -5*o - 0*n + y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*o + 14 = 0, -2*u + 5*u - 4 = 4*o. Suppose d = 2*d - u. Let v be (9\/3)\/((-1)\/(-2)). What is the greatest common divisor of v and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. What is the second derivative of 0 + i - p + 3*p**4 + 0*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8477.1 rounded to the nearest ten?\nAnswer: -8480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i - 4*i)*(-i + 0*i + 3*i) + 39*i**2 - 21*i**2 - 36*i**2 + (2 - 2 - 2)*(5*i**2 + 0*i**2 - 3*i**2) + 4*i - 4*i - 4*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 334079893 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 86 + 29 = 0. Suppose -2*a + 4*a - q = d, 5*q + 25 = 0. What is the smallest common multiple of a and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1728))\/(sqrt(441)*1 + sqrt(441)) - (4*sqrt(108) - ((sqrt(48) + -1)**2 - sqrt(3))))*6.\nAnswer: -1362*sqrt(3)\/7 + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6540, -6551, -6562, -6573?\nAnswer: -6584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0321 (b) -0.4 (c) -2\/7 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2 + (-2)\/(-4). Suppose -h*z = z - 25. Suppose -j + 0 = z*i + 5, -2*i + 20 = -4*j. Are -6 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -3, 1\/6 in decreasing order.\nAnswer: 69, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -53*h + 2216. Determine s(58).\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkkowkkwuknowko. What is prob of picking 1 o and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 4*b**2 + 6*b - 30. Let k be (-1 + 0)\/(76\/24 - 3). Let i be u(k). Suppose -5*p = -i*p + 2. Which is smaller: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 8 = 2*p, -4*i + 75*p - 27*p - 50*p = -8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1593, 6426, 14507, 25854, 40485, 58418, 79671, 104262?\nAnswer: 132209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 + 11*m**2 + 0*m**2 + 23*m**2.\nAnswer: 53*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1)\/(-6 + 8). Suppose -a + 2*a - 2 = n. Solve -2 = s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 s when four letters picked without replacement from ksskkkk.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r**2 + 4*r)*((1 - 1 + 1)*(-2*r + 5*r + 0*r) + r + 5*r - 3*r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/75 and -139\/27060.\nAnswer: 135300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 14. Suppose p = 4*g - 4*w + w, 3*w - 13 = -g. Let d be 5 + -3*(-3)\/(-3). Calculate the greatest common factor of d and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.072482+23\nAnswer: 23.072482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931985 (base 12) in base 4?\nAnswer: 110023230311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 - y - 1. Let o(j) = j**3 + 8*j**2 + 12*j + 12. Let u(g) = -3*a(g) - o(g). Let m(r) = 2*r**3 + 2*r**2 + 4*r + 4. What is -9*m(p) - 4*u(p)?\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*l + 8624 = -776. Solve -l = -20*c + 100 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52192 + 20a?\nAnswer: 523a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 48 = 60. Let p = -12 - -8. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(4*3\/78). Let j = 15 + b. Solve -j*k = 3 + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*w - 2*w + 5*w**4 + 2*w**3 + 2*w + 1 - 3*w**4 - 2*w**2 to the form f*w**2 + s + p*w**3 + u*w**4 + i*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(35*s**2 - 23*s**2 + 45*s**2) + 5*s**2 - 6*s**2 + 7*s**2 - 2 - 2*s**2 + 2 + (0*s + 0*s + 2*s)*(0*s + s - 2*s) - 3*s**2 + 0*s**2 + 2*s**2.\nAnswer: 172*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 1\/8, 6, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 5*r - k + 6*k, -r + 66 = -2*k. Suppose -2*t - 4*c = -4, c - 1 = -2*t + 3. Let s = 14 - t. Calculate the greatest common divisor of r and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 + (17 - 11 - (3 + -9)) + -92.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 17*j - 48. Let k be p(3). Suppose 26 = -k*g - u + 182, -4*u = 0. What is the greatest common divisor of 52 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrtknrnnrrr. Give prob of picking 1 t, 1 k, and 1 r.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 1111110?\nAnswer: 10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 5) + (8 + -12 + 22 - 16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -582 and -0.05?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 - 90*a**2 - 165*a + 2420 = 0. What is a?\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r**3 + 71*r**3 - 100*r**3 - 247*r**3.\nAnswer: -352*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*g - 3 + 4 - 1 + 1511*g as o*g + p and give o.\nAnswer: 1842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188790 and 12165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 82. Solve 2*o = -2*t - 14, o - c*t = 1 + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7022 + 7027. Let i be (-96)\/(-434) + 4\/(-14). Which is the third biggest value? (a) i (b) 9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782090 is divided by 648?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1842*-0.0149\nAnswer: 0.00274458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46304*f + 15423*f + 15428*f + 15436*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f + 17700 - 809. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1085 and 290.381?\nAnswer: 315063.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 12*u**2 - 24*u - 70. Determine p(-7).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 1. Let c(r) = -105*r - 6. Give c(g) - 3*w(g).\nAnswer: -96*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -13, -2, -3 in ascending order.\nAnswer: -13, -3, -2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*((sqrt(2299) - 2*(0 + sqrt(2299)) - ((-2 + sqrt(2299) - sqrt(2299)) + -3))**2 + 0 + (4*(sqrt(2299) + 5))**2).\nAnswer: -474096 - 19800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 449881 bigger than 447755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.5. Let o be ((-2)\/(-14))\/(5\/10). What is the second biggest value in o, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - q**2)*(q + 2*q - 2*q) + (0*q**2 + q**2 + 0*q**2)*(q - 6*q - 4*q) - 2*q**3 + 3*q**3 - 3*q**3 + (3*q - q + 0*q)*(-4*q**2 + q**2 + 5*q**2).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f + 17*f + 7*f + 14*f - 93*f + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 15.72. Let c = r - 0.68. Suppose 3*w + 8 = -1. Put -5, c, w in descending order.\nAnswer: c, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Suppose -4*m - n = -21, -3*m = -6*m - 3*n + 27. Let a = -1 + 3. Let y(i) = -4*i**2 + m*i**a + 2*i**2. What is s(y(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from zzyppzpzzpzzz.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.1, 83.04, -6\/11, 27 in ascending order.\nAnswer: -6\/11, 0.1, 1\/4, 27, 83.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 7.131, -0.4 in increasing order.\nAnswer: -0.6, -0.4, 7.131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -42*x**2 + 697*x - 3. Let b(h) = -13*h**2 + 233*h - 1. Calculate 11*b(v) - 4*w(v).\nAnswer: 25*v**2 - 225*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 56833*h**2 - 12 + 3 + 56769*h**2.\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2\/5, 1, 93 in increasing order.\nAnswer: -10, -2\/5, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q**2 + 4*q - 7. Let b(l) = -6*l**2 + 2*l - 4. What is 7*b(u) - 4*k(u)?\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4119577*p**3*z**3 - 2*p**3*z**2 + p**2*z**3 - 20321*p**2*z + 3*p*z**2 + 4*z**2 - 2 wrt p?\nAnswer: 24717462*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010011111011 + -1001?\nAnswer: -101101010100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-10) + (-1311)\/(-1150)*85. Suppose 3*k = -l - 2*l + 312, -4*k + 371 = -5*l. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-6 - -10) + -8 - -2 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 893193383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*r = 64, 4*a + 14*r - 9*r - 44 = 0. Suppose 84 = 20*y - a. Factor 2\/3*f**4 - 1\/3*f**3 + 0 + 1\/3*f**y + 0*f - 2\/3*f**2.\nAnswer: f**2*(f - 1)*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 - 2208*i - 32827. Give v(-15).\nAnswer: -1732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 - 75\/(-3). Suppose 2*f = 5*f + 4*s - d, -9 = -f + 5*s. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 8 = 0. Let w = f - 5. Solve -2*k + 12 = -o + w, -5*o = k + 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1416902982 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1725 and 90.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3839141 is divided by 1278.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/2 - 673*g**4 + 5364*g**3 - 16072*g**2 + 21416*g - 10704.\nAnswer: (g - 1338)*(g - 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 6 - (-101 - -186).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 0*l + l + (-7 + 2 + 3)*(l - l - 2*l) - 6*l + 3*l + l - 2 + 2*l + 2 + 2*l - 2*l - l + 4*l + 4 - 4.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*x + 1. Let u be x\/2 + 8\/(-16). Let d = 21 - u. Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o - 1. Let u(a) = a - 3. Let n be u(2). Let y(f) = 18*f**2 + 15*f + 12. Let b(i) = n*y(i) - 15*v(i). Determine g, given that b(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 9 - u**2 + 2*u**2 + 40. What is the units digit of g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1176\/(-192) - -14)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 33*g - g + 8*g + 21*g + 306, 408 = 4*g + 4*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i**3 - 83*i**2 + 32*i - 152. What is r(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6.2. Which is the nearest to 2\/5? (a) 2\/7 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 + 6 + 10 + 3*k**2 - 40.\nAnswer: 3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8362*p + 115 = -8397*p - 200 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 42*s**2 + 144*s - 1022. What is i(39)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*d - 1004*d - 15191 = -11252 + 13064 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2764*z + 699304. What is y(-253)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (124\/208 - 3\/4) + (-1767)\/(-3120). Put 0, t, 2\/3 in decreasing order.\nAnswer: 2\/3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izmiidizllzzmzizdzdl. Give prob of picking 2 m, 1 z, and 1 d.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15.03508 and -312739.\nAnswer: -312754.03508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -5*r - 297. What is the highest common divisor of r and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 + j - 1. Let i(z) be the second derivative of -z**5\/20 - 7*z**4\/12 + 17*z**3\/6 - 3*z**2 - 16*z. Let c be i(-9). What is f(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 18, x: 2}. What is prob of sequence xxmm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1223 - 6253 = 0. Let c = 4038 + r. Let i = c + -39061\/6. Find the common denominator of i and -119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2. Let b(o) = 0*o - 4*o - 12846*o**2 + 12823*o**2 + 2 + 4*o. Calculate u(b(f)).\nAnswer: 1587*f**4 - 276*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = -j + 5, -2*j - r + 17 = 0. Suppose -5*p + 37 = 4*t, -2*p + 4 = 5*t - 38. Calculate the greatest common divisor of j and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10746130 and 1340.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.00397\nAnswer: 0.001588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/713 - 725\/2852. What is the smallest value in 21, -5, t, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h. Let b(t) = -746*t - 836*t + 1142*t. Determine b(i(f)).\nAnswer: 1320*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -260*l - 196.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53242 is divided by 8716?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19 = -z, 5*f = z - 4 + 25. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 13. Let m(h) = 20*h**3 - 14*h**2 + 14. Let q(s) = 7*s**3 - 5*s**2 + 5. Let l(d) = -6*m(d) + 17*q(d). What is the units digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4827? (a) 2 (b) 6 (c) -4 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 2*l - 1. Let i be p(-1). Suppose -4*b + 4 + 23 = s, -2*s - b = -19. Suppose -h + s = -i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14097 + -29.84903. What is g rounded to one dp?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/6, -0.8, 0.5, 439?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145389470.\nAnswer: 2, 5, 29, 501343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 34*v**2 + 27*v - 229. Let o be g(7). Suppose -82*w = -85*w + o. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*d + 1 + 2 - 3.\nAnswer: 784*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4\/5 + 16*b**3\/5 - 44*b**2\/5 + 48*b\/5 - 18\/5 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 253*x**3 - 364756 + 364757 + 5*x**2 - 4*x**2 + (x**3 + 0*x**3 + x**3)*(-2 + 5 - 1).\nAnswer: 257*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-4\/5))\/(d*d**1))**(24\/11))**46 assuming d is positive.\nAnswer: d**(-1104\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150*z**4 - 422*z**3 - 7*z**2 + 1025?\nAnswer: 3600*z - 2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 - -0.2?\nAnswer: 430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.08 + -1213.781.\nAnswer: -1217.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:36 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36300 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 352459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 12*v**2 + 131*v + 1356. What is x(-11)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*c + 16. Let p(l) = -6*l**3 - 4*l**2 - 3*l - 1. Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let n(g) = -7479*g. Calculate c(n(l)).\nAnswer: 7479*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -17. Calculate the smallest common multiple of q and 10 + -12 - -28 - 2*-3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 102?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224 - 62. Does 54 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(104*m**2 + 125*m**2 - 192*m**2 - 3*m) + (-3 + m + 3)*(-m + m + 5*m) to r*m + s + x*m**2 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:06 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2978, -60, 0.1, 0.97 in increasing order.\nAnswer: -2978, -60, -3, 0.1, 0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37140 - 37345?\nAnswer: -74485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 greater than -12\/1237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - ((0 - -2) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 4, s: 1, o: 1, l: 1}. What is prob of picking 1 e, 1 l, and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 67340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 4, d: 1, l: 2}. Give prob of sequence lndn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n. Let i = 159 - 156. Let p(d) be the third derivative of -1\/24*d**4 + 0 + 0*d + 0*d**i - 3*d**2. What is c(p(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12520 + -6540. Round z to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -17*y + 247 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3236 rounded to 2 decimal places?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s + 3. Suppose 0 = i + 2*i. Let t be c(i). Suppose -11*y + 50 = -6*y - 5*h, 5*h = 10. What is the highest common factor of y and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*v - 187*v - 10 = 0. Let g(y) be the second derivative of 0 + 1\/36*y**4 + y + 0*y**3 + 0*y**2 + 1\/30*y**6 - 1\/20*y**v - 1\/126*y**7. Factor g(j).\nAnswer: -j**2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 31. Let f = 1.3231 + -0.901. Let s = 0.0779 + f. Sort d, 0.1, s.\nAnswer: d, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351448.\nAnswer: 2, 7, 24133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281549*-1.\nAnswer: 281549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-4)\/(80\/(-12))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.032 in -0.07, 5\/2, 1, -0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18444 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 - 14*o**3 - 7*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -489*-1.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**4 - 276*x**3 - 728*x**2 + 4176*x - 3168 = 0.\nAnswer: -66, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -289 divided by 289\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*(-8)\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c)**12*(c\/(c*c**(-10)\/c)*c*c)**(3\/2) assuming c is positive.\nAnswer: c**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**2 - 2*p. Let s be x(3). Let j = s + -227\/3. Let i = 27 + -23. Which is greater: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 20*z - 52. Let i be p(-17). Calculate the common denominator of 3\/25 and 1547\/102 - (-3 + i + 1).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 15 = 0, 0 = -3*i + 5*i + 5*y + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 - -3. Let t = 0.551 - -0.139. Let u = 4.69 - t. Which is the nearest to 2? (a) 1 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7 + 3*z**2 + 2 + 6*z - z**2 - 13. Let l be o(-4). Sort -5, -1, l, 1 in decreasing order.\nAnswer: l, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - r - r)*(7 + 6 + 6).\nAnswer: -152*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5019*v**2 - 1620*v**2 - 1668*v**2 - 1634*v**2.\nAnswer: 97*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -2\/7 (c) -73 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 2)*(-4 + f + 4 + (1 + 3 + 0)*(-3 - 2*f + 3)) - 3*f - 3*f + f.\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1589.878 to 0 dps.\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 12. Let z = 47952 + -47952.3. Which is the nearest to 1? (a) z (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = 30. Let d = -5 - a. Suppose 3*m - d*p + 10 = 0, 3*m + 0*p - 3*p = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-11 + (6 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3672 and 15981921.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in -7\/57, -2, 14, 0, 5\/4, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n + 4*n**2 + (-8 + 12 - 3)*(-3*n + 3*n + 2*n**2).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40784*j + 76*j**2 + 5*j**3 - 40784*j.\nAnswer: 5*j**3 + 76*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let s be t - (-11)\/(11\/6). Let k(l) = -2*l**3 + 3*l. Let y(a) be the second derivative of -a**5\/5 + 5*a**3\/6 + 3*a. Give s*y(m) - 5*k(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) 2\/17 (c) 89325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 2, y: 3, c: 2, x: 2, l: 2}. What is prob of picking 1 s, 1 w, and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14920 divided by -20?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (223340\/(-45))\/(-13)*(-9)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -503 and -13764?\nAnswer: 13261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5567*d - 5535*d + 1888 = 0 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.067956 months to years.\nAnswer: 1.755663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32632 - 29852. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*b + 3*c, 0*b + 5 = -5*b + c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.57 + 23.8. Let h = -1461 - -1468.77. Let w = o + h. Sort -4, w, -0.2 in descending order.\nAnswer: w, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6920, 6928, 6958, 7022, 7132?\nAnswer: 7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**5\/5 - m**3 - 22*m - 32. Differentiate t(n) with respect to n.\nAnswer: -4*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/3 - (-4)\/6. Let c(s) be the second derivative of s**3\/6 + s. Let u(y) be the first derivative of -3*y**2\/2 + y - 2. What is v*u(j) - 2*c(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*30.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 2. Let o be l(-2). Let h = o - -16. What is the smallest common multiple of 4 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -533*y - 553*y + 501*y - 43. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41\/287 - 11171\/(-7).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**2 + 1\/6*w**3 - 2*w + 0. Let c be k(2). Solve -8 = 2*v + c*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) 1632 (c) -1\/10 (d) 28 (e) -4 (f) -5 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57502847 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(4)*-3) - (sqrt(1331)*1 - sqrt(11)))**2 - (-5*-1*sqrt(121))\/((sqrt(11) - (sqrt(55)\/(sqrt(10)\/sqrt(2)) - sqrt(11))) + sqrt(11))) + -5.\nAnswer: -5*sqrt(11)\/2 + 10526\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 - (-3 - 7))\/(10\/4)*-18035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q = -74*q - 29 - 43 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34558090 to the power of 1\/2, to the nearest integer?\nAnswer: 5879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152 + 2?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -4\/35*g**5 - 2\/21*g**4 + 7*g + 0*g**3 - 12 - 1\/147*g**7 - 1\/21*g**6 + 0*g**2. Factor p(a).\nAnswer: -2*a**2*(a + 1)*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q**(-1\/52)*q)\/q)\/q)**(-6\/5)*q**(-25)*(q\/q**(3\/7))\/q assuming q is positive.\nAnswer: q**(-23119\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a day in minutes?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - (3 - (-50 - -160))) + -26 + 1.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from {a: 3, d: 2, i: 4, e: 6, p: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from nmnmmeoemnno.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140075 and 399106?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -114+1884258749.747\nAnswer: 1884258635.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/(1*2\/(-24)). Sort -3, m, 2\/13 in increasing order.\nAnswer: m, -3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 7) to base 9\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31678723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/3)*t*t)\/t**(1\/9))\/(t\/(t*t\/((t*t**(1\/2))\/t)))**(2\/37))\/((t\/t**(-1\/4))**33*(t*t**(2\/3))\/t*t*(t*t**0*t)\/t) assuming t is positive.\nAnswer: t**(-55057\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*7.9987.\nAnswer: 31.9948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 20. Let x be a(11). Suppose -l + 3 = 2*z, -z - 4*z - 2*l = -x. Let f = -1 - 1. What is the third smallest value in 2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 86592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/31 + -37\/93. Let x(l) = l**2 - 2*l - 9*l**3 + 10*l**3 + 32 - 30. Let c be x(0). What is the nearest to 1\/4 in 0.4, h, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42351*z**3 - 10722*z**3 - 10539*z**3 - 10530*z**3 - 10536*z**3.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*h + 5*h = 7, 23 = 5*r - 4*h. Let u(t) = -t**2 + 5*t - 2. Let q be u(r). Solve q*m - 2 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.20158925079\nAnswer: -0.10158925079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2894569053 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 12. Let r(k) = k**3 - 16*k**2 - 17*k + 1. Let o be r(17). Suppose -4*s - 24 = 4*t, -1 = -s + t + o. Let y(z) = 3. Determine s*g(q) - 9*y(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 34*x**2 - 39*x + 47. Let k(f) = -10*f**3 + 102*f**2 - 109*f + 143. Let t(v) = -4*k(v) + 13*l(v). Calculate t(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 = -2*r + 9, 32 = 4*r + 4*j. What is the lowest common multiple of r and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v - v**2 + 10*v)*(2 + 1 - 5)*(1560*v**2 + 966*v**2 - 3490*v**2) + 0*v**4 + v**4 + 2*v**4.\nAnswer: -1925*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 7:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.7 - 11.1. Which is the nearest to 7? (a) u (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*k - 2*h + 17, 2*k + 2*h - 18 = 0. Let g = 40 + -20. What is the lowest common multiple of g and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:29 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*((-7)\/140 - (-12 - (-88251)\/7380))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100202 - 1000111?\nAnswer: 100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1155\/(-495) + (10\/4)\/((-9)\/(-3))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2204 (base 5) in base 8?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000724167 rounded to seven decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, x: 2, h: 14}. Give prob of sequence hjxh.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-42)*(-10)\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*h - 2084 - 3426 = -913 + 875 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 4*l + 2*l**4 + (32*l**4 + 7*l**4 + 215*l**4)*(0 + 8 - 2).\nAnswer: 1526*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*m**4 + 15*m**4 + 12*m**4 + 357*m**2 + 65 - m + 10*m**4 - 45*m**4 wrt m?\nAnswer: 24*m**2 + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.095046 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4125874347 rounded to 3 decimal places?\nAnswer: -0.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 5 - 7 + 5*u**2 as g*u**2 + j*u + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/6*-3 + 5. Which is greater: p or -2\/159?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 8 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*a + 51 = 11*a, -2*n + 11 = -3*a. Let y(r) = r**2 - 5*r + 2. Let f be y(5). Solve -18 = 3*z + f*v, -z - 3*z + v = n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 + -18 + -45 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 34. Suppose 0 = -4*s - t*s + 28. Let m(a) = -a - 1. What is the remainder when m(-12) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -490 + 489. List the prime factors of a + 4 + -5 + 5 + 1097.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/24 - 11*f**3\/6 - 138*f**2 - f + 62. Let v = 12 - 0. Let a = v - 7. Give s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -1321, -1324, -1331?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a - a + 15*a + 8*a + 10*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23083 + 0.03083. Which is the nearest to -1? (a) j (b) 1\/9 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 43469?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/(1\/190). Suppose 4*k - 8*k = -t. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 117716.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -0.074, 2, 0.2 in increasing order.\nAnswer: -0.074, 0.2, 2, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*h, o + 3*o = 2*h - 2. Sort 17, o, 2 in increasing order.\nAnswer: o, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 897, 42119?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 56 - 34. Suppose 4*y = -2*a + d, -26 = -3*y - 5*a - 2. Let o be (18\/15)\/(y\/30). Solve -3*m - m + o = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - 2 - (307 + -395).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4880*a*d**2 + 1259493646*a + 67451*d**2 wrt d.\nAnswer: 9760*a*d + 134902*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 + 172 + 8*y**3 + (y - y - y**2)*(-3*y + y + 0*y) - 4*y**3 + 4*y**3 - 9*y**3)*(-2*y + y - y).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 82 = 5*r, -r - 4*y = -0 - 10. Which is the nearest to r? (a) -2 (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (245\/30)\/(20\/4640*116)\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(704) + 2)**2*2*-5 + -5*(sqrt(704) + 0) + -1 + -2.\nAnswer: 920*sqrt(11) + 21237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2 - (1 + 1)) + 59 + -80?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 60. What is the remainder when 53 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*b + 205 = 6*t, -5*t + 114 = 2*b - 9*t for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5242 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 16867690?\nAnswer: 50603070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8321*p**2 - 7357*p wrt p?\nAnswer: 16642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 0*s**2 + 9*s**2)*(3 - 1 - 1)*(s + s + 3*s) in the form h + z*s + u*s**3 + d*s**2 and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1372 + 91 + 104)*(f - 17 + 15 - 9*f).\nAnswer: -12536*f - 3134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3078757\/106 - 29044. Calculate the common denominator of h and 22\/47.\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/60 - x**4\/24 + 5*x**3\/6 - 13*x**2. What is the remainder when c(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*u - 2*q, -19*q - 17 = -4*u - 18*q. Solve 17 - 5 = -u*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 730, -13, 2, 0 in increasing order.\nAnswer: -13, -4, 0, 2, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -30. Let y = 21 - r. Let j = y + -5. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 46 + z - 5 - 4 as c*z + a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -45\/2. Let p(u) = -u**2 + 14*u - 16. Let z be 6 - -9 - (0 - -2). Let b be p(z). Do b and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 561 = -3*d + 616, 0 = -k - 8*d + 115 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g + 8*g - 209 = -961 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + (-3 - -1) - (11 + -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:55 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -17*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + (-1 - -2) + (435 - 444)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 0 + 18*p + 23*p + 6.\nAnswer: 41*p - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 0.5 (b) 0 (c) -15.1 (d) -0.5 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-3))\/(1\/3). Let h be (-20)\/50 - (-314)\/10. Let t = h + o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -36. Solve -4*u + a = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/4)\/(7\/(-1009 - -1)). Let v = -44 + s. Suppose -3*c - 5*q + 37 = -c, -v = -3*c + q. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390616, 393467, 396318, 399169, 402020, 404871?\nAnswer: 407722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {z: 8, m: 2, q: 3, r: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -1. Let l = 22 - o. Suppose 5*s = l*j, -5*j + 0*s = s - 28. Solve 2*r - 18 = -r + d, 0 = -3*r - j*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Let g(h) = h**2 + 12546218. What is g(o(u))?\nAnswer: 9*u**2 + 12546218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12588112 by -166.\nAnswer: -75832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1084 - -1096. Solve -21*n - 93 - i = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 + -3)*6)\/(3\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 557843 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60*4 - (-5)\/(15\/(-6)). Let q be 67*((-1 - -1) + -1). Let p = q + t. What is the highest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w - 12 + 7*w**2 - 21*w**3 + 0*w**2 + 20*w**3. Let l be t(8). Solve -2*n + 3*n = -l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20966 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 337*b**2 + 16765*b + 386. Give i(381).\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 11*o - 6. Let z be l(-5). Let k(c) = -24*c + z*c - 3*c**2. Let q(n) be the third derivative of -n**5\/60 + n**2. Give k(q(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114013277 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 520*j**2 + 10*j - 7. Let m(w) = -2604*w**2 - 51*w + 38. Determine -2*m(g) - 11*s(g).\nAnswer: -512*g**2 - 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-21 - (-2)\/(-1)). Suppose -4*s = 4*b - 5*s - 18, 0 = b + 3*s + 2. Suppose -3*o + 11 + b = 0. Calculate the greatest common divisor of i and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 14946905*d**2 + 11170505927400*d - 11170490980500.\nAnswer: 5*(d - 1494690)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 9. Let k be u(-7). Let q = k + -8. Let g(x) = x**2 - x + 4. Let w be g(0). Solve 4*s - q - 8 = -4*o, -4*s + 4 = -w*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.1. What is the second smallest value in 0.4, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 5, r: 4}. Give prob of picking 4 w.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160799671.\nAnswer: 4099, 39229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5*18\/15 - 5 - (11 + (-2047)\/93)\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, b: 3, a: 1}. What is prob of sequence aa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 95*s - 2753. Let c be o(29). Let p = -2\/605 - -6056\/1815. Find g, given that 2*g**2 - c*g**4 + 8\/3*g**5 + 2\/3*g + 0 - p*g**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z, 5*p - 3*z - 5369 + 638 = 0. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**2 + 1. Suppose 5 = d + 11. Is o(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22)*52\/(-546)*-21?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/65239187 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 3*o**2 - 2*o**2)*(-3 + 2*o**2 + 3) + 311 - 31*o**4 - 311 in the form h*o + y*o**4 + m*o**2 + d*o**3 + i and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8036 is divided by 1161?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(104) - (sqrt(104) - (sqrt(104) - (sqrt(104) - (1*sqrt(104) + sqrt(104))))*6))\/(-1*sqrt(72)).\nAnswer: -4*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 divided by 72?\nAnswer: 73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 75*l**4\/4 - l**3\/3 + 108*l - 328. Find the third derivative of r(n) wrt n.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/k)\/k*k**3*(k**(1\/4))**(1\/42) assuming k is positive.\nAnswer: k**(-335\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.5. Let w = g + -0.1. Let y = -0.14 - -4.14. What is the closest to w in y, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 31. Calculate the highest common divisor of x and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 2 - 370*w + 359*w + w**2 to the form l*w**2 + u*w + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353537.1mg in grams?\nAnswer: 353.5371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 t, and 1 w when four letters picked without replacement from vtdvvvgvvdvtwwg?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 55\/5271 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 210, -0.4, 2, 4\/3, -1388, 0.3 in descending order.\nAnswer: 210, 2, 4\/3, 0.3, -0.4, -1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - n = -0*n. Let g be 2\/1 - (n - 0). What is f in -32\/11 - 16\/11*f - 2\/11*f**g = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -531.0395161 to 1 dp.\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.182 - 8.3. Let l = d - -0.318. Which is the third smallest value? (a) l (b) -2\/3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -32*j**3 + 10*j**2 + 12*j + 7. Is z(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 27. Let n(d) = -2*d - 14. Let q(y) = 7*n(y) - 4*t(y). Determine q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + q**2. Let w(j) = -227*j**3 - j**2. Calculate -a(s) - w(s).\nAnswer: 226*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 167. Suppose -r*u + 479 = 29. 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: Simplify sqrt(272) + sqrt(272)*3 + -4.\nAnswer: -4 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1732345 by -346469.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51330 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -13 + -32 + 7 + 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -728, -1760, -2806, -3872, -4964, -6088?\n\"Answer: -h**3 - h**2 - 1022*h + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177 plus 440.1?\nAnswer: 2617.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -9 - (-120)\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*k)*(-68 + 59 - 30)*(-5*k - 30*k + 10*k) - k - k**2 + k.\nAnswer: -1951*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 30. Let s = x + -16. Suppose -s*r = -67 - 37. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from owfforwcoo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from sivss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/1 + 0 + -3. Let d(g) = -34 - g + 47*g**2 + x. Is d(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9 + 23. Suppose -v*z = -24*z - 64. Put 0, 39, z in ascending order.\nAnswer: z, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 - 0)*(-18)\/21. Suppose -16*i = -n*i - 52000. Round i to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6315899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31703.88 hours in milliseconds?\nAnswer: 114133968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.01, 0.4, -0.3, 10?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 39\/8*l**2 - 9\/8*l - 3\/2*l**3 = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t + 12*t + 355. Suppose -5*z + 181 = t. What is the lowest common multiple of z and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 7.8 (b) 3 (c) 36 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 36750?\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 453\/8578 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*s**2 - 568*s**3 + 628*s**3 + 24*s**2 - 95*s**2 wrt s.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6 + 12)\/6)\/(1\/4). Suppose -c - 2*r - 420 = -3*c, -x = r. What are the prime factors of c?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 2, i: 7, c: 5}. Give prob of sequence ixy.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**8\/16 - q**5\/5 - 25*q**2\/2 - 20*q. Let l(u) be the first derivative of j(u). What is the third derivative of l(c) wrt c?\nAnswer: 1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*v**2\/2 - 305*v\/2 = 0. What is v?\nAnswer: 0, 305\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d**2 + 3. Let t(f) = 33*f**2 + 8. Let l(c) = 8*a(c) - 3*t(c). Let v(m) be the third derivative of m**4\/8 + 7*m**2. Give l(v(b)).\nAnswer: -99*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 + 14059761*x + 65892293125707.\nAnswer: 3*(x + 9373174)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plfpkkk. Give prob of sequence pfkk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.0731 or -2216\/13?\nAnswer: -1.0731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((9\/30)\/((-5)\/(-25)))\/((-57)\/152). Let y = 135 - 88. What is the closest to y in 1\/2, -2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.28, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((((t**(-10)*t*t)\/t)\/t)\/t))**(2\/5) assuming t is positive.\nAnswer: t**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.89356 rounded to one decimal place?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -46*q**4 - 14*q**3 + 12*q**2. Let t(k) = -15*k**4 - 5*k**3 + 4*k**2. Let i(s) = 3*m(s) - 10*t(s). Let i(o) = 0. Calculate o.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + -4 + 2 - ((0 - -1) + 8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 - 6*j + 4. What is the remainder when 19 is divided by h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7130, -14694, -22270, -29864, -37482, -45130?\nAnswer: -52814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 9:54 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = 16. Let g be (d\/(-6) + 0)*3. Suppose -z = 4*z - 20, g*z - 5 = 3*x. Calculate the highest common divisor of x and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**3 - 2*j**2)*(475 - 475 - 246*j + 1093*j).\nAnswer: -1694*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2983154*m*z**4 - 62018*m wrt z?\nAnswer: -11932616*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**3 - 6*u**2 - 2 - 15 + 6*u**2.\nAnswer: -24*u**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z - 18. Let m = -4 - z. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-31)\/q**1)**41)**(21\/2) assuming q is positive.\nAnswer: q**(-13776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 10*a + 7. Suppose -10 + 34 = 4*i. Calculate s(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24*2\/(-18) + 6\/(-9). Solve 5*r + 3*t + 14 = -f, -4*r = -6*t + 38 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8345*b**3 + 8348*b**3 - 5 + 1.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 + r**2 - 3*r - 3. List the prime factors of f(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013647 divided by 46829?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10059194 + -10059122.38029. Let v = m - 71.52. Let g = -0.101 + v. What is g rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1800)\/(-432))\/(25\/60)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 40 + 28. Let v be j\/(-10) + 2\/(-5). Solve 2 = -2*c - 2*f, 0 = -3*c + 5*f - f - v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4\/24 + 12*m**2. Let o(w) = -4*w**2. What is o(r(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 156?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 90 + 83 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 2880.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1844)\/(-3) + 2\/6. Suppose -3*m - 57 = -2*w + 7*w, 0 = -5*m - 4*w - 82. List the prime factors of 4\/m + i\/21.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 7*x - 2. Suppose 5 - 24 = -j. Let k = j + -35. Let s be (-15)\/(-10)*k\/6. What is w(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -441.31, 1\/2, -1\/13, -7, -4 in ascending order.\nAnswer: -441.31, -7, -4, -1\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3332200 and 14994900?\nAnswer: 29989800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-4) + 27\/18. Let c(q) = -2*q**2 - 4*q + 3. Let v be c(2). Let i = f - v. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 23.68?\nAnswer: 23.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13600099 divided by 14.\nAnswer: 13600099\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54 + -60 - (-82)\/12. Let g be (6\/(-18))\/(1\/(-17)) + -5. Factor -13\/6*b**2 + n*b**3 + g + 2\/3*b.\nAnswer: (b - 2)*(b - 1)*(5*b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 15*z**2 + 2*z - 26. Let y be n(15). Which is the nearest to 1? (a) -0.2 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - -3. Suppose 29*h + h = 8370. Calculate the highest common divisor of i and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60517 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111 + 110111100011010011?\nAnswer: 110111100110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*v + 18*v + 10*v)*(-4 + 1 + 1)*(4*v - 5*v + 0*v) as f*v**2 + c + q*v and give f.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 14*m - 19*m - 22 = 0, -3*m - 9 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 722031 (base 10) to base 5\nAnswer: 141101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -8947598152216?\nAnswer: 8947598152216.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7496023 milligrams?\nAnswer: 749.6023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.1, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/((-6)\/(-36))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/(-9)*(-11 + 10 - -70)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:26 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -22, 1, 10.\nAnswer: -22, 1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 28*z + 20*z - 2 + 0 + 3. Is x(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlkaaaaadaaoaak. What is prob of sequence ala?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 3*i**5\/10 + 41*i**4\/3 + 524*i**3 + 430*i. Find the second derivative of j(z) wrt z.\nAnswer: 36*z + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1016760 and 420.\nAnswer: 7117320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z + 52*z = 77*z - 20*z + 348 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*d - 1 + 5, -34 = -3*t - 4*d. Suppose t*h + 80 = h. Put 1\/6, -0.1, h in increasing order.\nAnswer: h, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/12*1\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -92. Suppose -10 = w - 139. What are the prime factors of 2\/(w\/n + 3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/91 - -201\/1729. Which is the fourth smallest value? (a) 0.01 (b) i (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 - 36*i**4 + 120*i**3 - 184*i**2 + 132*i - 36.\nAnswer: 4*(i - 3)**2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -1\/48*l**8 - 1\/15*l**5 + 0*l**6 + 0 + 0*l**7 + 0*l**4 - 7*l**2 + 0*l + 0*l**3. Find the third derivative of k(a) wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 85*h**3 - 487*h**2 + 17*h + 39. Give m(6).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)\/p*((p*p\/(p\/(p\/p**6)))\/p*p)\/p*p*p*p**9*p*p**(-2\/5))**(-2\/7))**18 assuming p is positive.\nAnswer: p**(-948\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2034, 2528, 3048, 3606, 4214, 4884, 5628?\nAnswer: 6458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-3)))**(2\/49)\/((v**(4\/7)*v)\/(v*v\/(v**(-12)*v))) assuming v is positive.\nAnswer: v**(554\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*f - 2*f**2 + 2524 - 2525 - 62*f in the form p + d*f + a*f**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 not equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 9*s**2 - s + 7. Let d = -662 + 653. Calculate g(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87*4026\/47763*4\/(-6)?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/96675 + 8990699\/3673650. Calculate the common denominator of -61\/25 and x.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1121011120?\nAnswer: 1121011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5830)\/140 - -42)\/(20\/14). Let o(m) be the first derivative of -10 + 3\/4*m**5 + 3\/2*m**4 + 0*m + k*m**3 - 3\/4*m**2. Solve o(q) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 168026?\nAnswer: 2856442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1400064246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57.0107 - 57. Round o to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132807 is divided by 114.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -41260?\nAnswer: -41254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-642)\/(-10))\/((10\/(-15))\/((-20)\/(-18)))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**4\/4 - y**3\/6 - 3*y**2. What is the remainder when 18 is divided by x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69369, -277414, -624155, -1109592, -1733725?\nAnswer: -2496554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-196) - (2946\/(-147) + -6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-3)\/6)*0. Let w be 5 + v + 9\/(-3). Suppose 0 = -w*j + 6 - 0. Let t(s) = -s**3 + 2*s**2 + 3*s + 1. Determine t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k + 1. Let c(f) = -7*f**2 - 2*f + 9*f**2 - 3*f**3 - 12*f**2 - 2. Let j(u) = 2*b(u) + c(u). Find the third derivative of j(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9130.\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/14 and 83\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -20, -37, -60, -89?\n\"Answer: -3*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 130*r**2 - 2814*r + 20286 = 0. Calculate r.\nAnswer: 21, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -894 - -893.99682. What is m rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 13*v + 20. Suppose 0 = -u + 4*q + 19, u - q = -6*q + 64. Let j = u + -31. Let z be c(j). What is the greatest common divisor of 27 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065182 to four dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4\/2 + 150*r**3 + 3528*r**2 - 49248*r - 1866240 = 0?\nAnswer: -48, -36, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6008728 millimeters to centimeters.\nAnswer: 0.06008728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from ssiiaiiiariiivrsir.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 1\/4 (c) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -151.5 (b) 2\/95 (c) -14\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*1260\/165*(-4312)\/(-840).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1815*c - 886*c - 906*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - 0) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8013*v - 9 + v**2 - 8013*v to h + i*v + l*v**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86163443?\nAnswer: 43, 2003801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5611 - -3979. List the prime factors of p.\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24132 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z + 12, -3*c - 5*z + 7 = 0. Let m(q) = q**2 - 10*q + 7. What is m(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 2\/3*d**3 + 0*d**2 + 0 + 0*d**4 - 1\/20*d**5 + d. Find the second derivative of x(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 + 79*x - 406. Determine b(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-99060 - (-273)\/(-21))\/((-3)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6307938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*v - 399*v - 16 = -5*o + 18, -5*v + 2*o = 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 40 - (-5 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3 + d - 3. Let x(z) = 1214923*z - 4*z**2 - 1214923*z + 2*z**2. Give x(k(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2912\/12936 - (-2)\/33.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 48*j**3 - 13*j + 5*j - 11*j + 23*j to the form h*j**2 + g + n*j + u*j**3 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from xlllllllx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/(-216)*138\/23?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 - (-7510)\/(-1752)) + 1\/3 and (13 - (-272)\/(-24))\/((-69)\/(-81) + -1)?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 + 3 - 2*g**2)*(5*g - 5*g + g**3).\nAnswer: -g**5 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47578722.6999868 + 47578715. Let p = -7.7 - j. What is p rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/2, -2\/15, 156?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w*w**(1\/3))\/w*w*w))**(-19\/4)\/((w*w**4)\/(w*w*w**5)))\/(w**(-7\/5)*w**8\/w*(w**(1\/2))**(10\/11)) assuming w is positive.\nAnswer: w**(4639\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 8, -4*p = -3*l + 2*l - 64. Let o(j) = -6*j - 9 - j**3 + 16 - p*j**2 + 23*j**2. Calculate o(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 33 + 15 = -3*g, -61*g + 67*g + 40 + 2 = 2*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t + 357 + 302 = 243. What is the smallest value in t, -18, -1\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -1015?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 2*s**2 - 7*s - 8. Let y be d(-3). Let m(i) = -3*i + 5. Give m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.0798 - -0.0798. What is the fourth biggest value in -2, 7, r, -0.09?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51\/32 - -3\/32. Which is the biggest value? (a) -7\/5 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13191 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -3 - 2\/(-2). Let y(v) = -3 - 5*v - 2 + i*v. Let z(k) = -1. Let t(x) = -y(x) + 6*z(x). What is the derivative of t(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + 164 - (-1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 163866533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92653 + 92653 - 13*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 42*j**2 - 401*j + 62. Calculate r(50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -623*p + 82229. What is x(132)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -254 + 253.9544. What is l rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s - 3. Let i be v(-3). Let f = -3\/2729 - -275641\/10916. What is the common denominator of f and (i\/6)\/((-2)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135\/(-273) - -8 - 1\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -1279 (c) -1.1 (d) 3 (e) 3\/2 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5070027 - -3?\nAnswer: -5070024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 + 12*z - 24. Determine q(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*i**3 + 3 - 3.\nAnswer: 67*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39361 divided by 5123.\nAnswer: -39361\/5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 - 191. Let w = z - -114. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -79*d**3 + 22*d**2 + 6*d + 4. Let j(n) = -16*n**3 + 4*n**2 + n + 1. What is -11*j(w) + 2*p(w)?\nAnswer: 18*w**3 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10128236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4\/7 - 15*v**3\/7 + 12*v**2\/7 + 60*v\/7.\nAnswer: -3*v*(v - 2)*(v + 2)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + (-100)\/(-7). Suppose 0 = -3*n + i + 40. Calculate the remainder when 33 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2228385185 - -0.16.\nAnswer: -2228385184.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93951220 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let i(o) be the second derivative of -3*o - 1\/6*o**3 + 0*o**2 + 0. Determine i(w(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.01. Let p be (-3)\/12 - 1258\/(-104). Let f = p - 12. What is the closest to n in f, -0.3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 47 = -9*s, -19*f - 2*s = -24*f - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -8*x - 60. Find the third derivative of -x*y**6 + 14*y**6 + 7*y**2 + 13*y**6 + 5*y**2 wrt y.\nAnswer: 2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24557?\nAnswer: 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*z + 12, -11*z - 4 = -12*z + 4*j. Solve 0 = 2*v - 3*n - z, -7*n - 28 = 5*v - 5*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/20 - (-2)\/5. Suppose m*a - 40 = -3*r + 2*r, r + 5*a - 48 = 0. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 6. Let a be h(-2). Let o be (1 + 0)\/(a\/(-1516)). Suppose 2*g + o = 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpp when three letters picked without replacement from ygappyipayyy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 4*l\/9.\nAnswer: -2*l*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 65. Suppose -4*d + 12 = 3*a, 4*a - d - s = 11. Let t(y) = y**3 - 3*y**2 - 6*y + 3. Let g be t(4). Sort -2, g, a in decreasing order.\nAnswer: a, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6058.\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 86\/18 + (-6)\/(-27). Let u = g + -2. Let v = u - 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 650.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8983?\nAnswer: 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -99. Suppose -h - b = 2*h. What are the prime factors of 2\/(-1)*1 - h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17251474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -0*t. Let n be (3 - t\/(-1))\/1. Suppose -3*s - n*h - 8 = -159, s - 52 = h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 87*z - 54*z - 5*z**2 - 33*z. Let r(k) = 11*k**2. What is r(c(i))?\nAnswer: 275*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 52*l**2 + 69*l + 108. Let q be m(44). Calculate the highest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2398 divided by -15\nAnswer: -2398\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/31825 and -23\/2010.\nAnswer: 190950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*q, 2*q + 0*q - 2*y = 28. Calculate the remainder when 140 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.36 from -24422.2.\nAnswer: -24421.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b82a (base 13) to base 12.\nAnswer: -12957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -1. Solve 7*q - f = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.897738 minus -0.5?\nAnswer: -9.397738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -768 + 766 + 0*n**2 + n**2 - 2*n to the form o*n**2 + r + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 12)*(0 + 9). Solve -4*i - 3 = 4*n - 11, i = 3*n - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -974 + 1726. Let x = v - 402. List the prime factors of 4\/5*(x\/(-4))\/(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 + 258. Suppose -28*x = -m - 46. Solve 0*h - 3*h + 12 = 5*w, -x*w + h - 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:53 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 336*x + 3*x**2 - 2 - 335*x - 46 to w + l*x + n*x**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*w = 280, -70*y - 4*w + 1596 = -27*y - 878 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3\/6 - 2*o. Suppose -u = u - u. Let y be h(u). Let q(p) = -p**2 + p + 8. What is q(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 25 = 4*f, -69*f - 16 = -68*f + 4*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 59. Suppose -w = -5*v - 60, -2*w + 4*v + c + 100 = 0. Let n be (-2)\/3 + w\/15 - 0. Solve 0 = 4*x + 4*f, n*x = -3*f + 2 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145795615 and 3045?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 15) to base 16\nAnswer: eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 5*z**2 + 0*z**4 + 1 + 0*z**5 + 17\/30*z**6 + 0*z**3 + 11*z. What is the derivative of d(q) wrt q?\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3459511 - -5595111. What is l rounded to the nearest ten thousand?\nAnswer: 2140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*p - 132*p - 39. What is the remainder when 372 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 4. Differentiate 2*u**2 + 2 - 3*u**v - u**2 wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 36 = 302. Suppose -5*u - 1624 = -3*k, 0 = -k - 4*u + 344 + w. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37250 (base 8) in base 10?\nAnswer: -16040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -258 and 1058567.\nAnswer: 1058309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3602 + 3597. Which is the third smallest value? (a) -11 (b) f (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*k + 0*k + k)*(2*k + k - k) - 3*k**2 + 11*k - 11*k)*(0*k + k + 0*k + (-2 + 2 - 2)*(2*k + 0*k - 3*k) + 5*k - 12*k - 6*k).\nAnswer: 150*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**5 - 33*m**4 - 2536*m**3 - 7302301*m.\nAnswer: 40*m**3 - 396*m**2 - 15216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:17 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30871.036295 + 30871. Round y to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**5\/75 - x**4\/2 - 2*x**3\/15 + 43*x**2\/15 + 4*x + 302. Suppose b(z) = 0. What is z?\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/28*(-18)\/(-81)*6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3 + 17958*i**2 - 287904*i + 1152384 = 0.\nAnswer: -6002, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 45 - 195. Suppose -3*c + a + 18 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43396 + -25731. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) - -4*sqrt(13)*1 - 2*(1 + sqrt(13))).\nAnswer: -2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 865*z + 9 = 867*z, 0 = 2*j + 5*z - 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8528, -17057, -25586, -34115?\nAnswer: -42644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1719, 1928, 2551, 3798, 5879, 9004, 13383, 19226?\nAnswer: 26743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 447\nAnswer: -22\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**6\/6 - 1751*k**4\/4 - 77*k**3\/3 + 9*k**2\/2 - 1524. Find the third derivative of u(z) wrt z.\nAnswer: -60*z**2 - 10506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - i**2 - 1. Let h be r(2). Suppose 5*c = -112 + h. Let y = 30 + c. Calculate the highest common divisor of 91 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2*z**5\/75 - z**4\/30 + 2*z**3\/5 - 11*z**2\/15 + 8*z\/15 + 3. Solve p(b) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939.1497mm to centimeters.\nAnswer: 93.91497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075794271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (28\/(-770))\/(20\/1175) and (-4)\/(-16) - (-31)\/(-16).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - p)*(-7 + 11 + 33)*(227*p**4 - 67 + 139 - 72).\nAnswer: -16798*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/((-2)\/18). Suppose 48 = -m*f + 7*f. Suppose s - 9 = -3*d + 6*s, 4*d = -3*s + f. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from jsdcjudujjjcljc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 20*v. Let b be m(-4). Determine x, given that -1\/2*x**3 + 1\/2*x - 7\/4*x**4 + b + 7\/4*x**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 7206 + 6611 = 0 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from uuuazeleeeupezaza.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 - -0.3\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i**32)\/i)**(-13\/5)*i**(1\/3)\/i*i*i**(-16))**(-6\/17) assuming i is positive.\nAnswer: i**(3122\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 19*b - 5. Let s be f(7). Let m be (-22)\/s + 166\/34. Solve 5*i + 14 = -0*a - a, -2 = 3*a - m*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245289*a**3 - 1010434*a.\nAnswer: 1471734*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8604.724ml in litres?\nAnswer: 8.604724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0)**(-16)*c**(-2\/7)\/c**(-2\/9) assuming c is positive.\nAnswer: c**(-1012\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + 90. Is -20 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 r when four letters picked without replacement from lnlllrnllrrlnrnlr?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06932 - -3.00032. Let f = t + 0.069. Let a(m) = 4*m - 5. Let d be a(-6). Sort 1, -1, d, f in ascending order.\nAnswer: d, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -h. Let t be ((-6)\/4)\/((-3)\/h). Suppose -2*a + 33 = -0*a + 5*k, 0 = t*a + 4*k - 34. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(1 + (-106)\/107)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111 (base 2) to base 6.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1034 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.648 - -6.998. Let g = p - 1.55. What is g rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976.178 times 2?\nAnswer: 3952.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l - 41. What is h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8*j = -777. Suppose -j = -7*s + 574. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 200 + 138*g**2 + 338 - 131 + 384*g**2 wrt g.\nAnswer: 1044*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8923 to two dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-144)\/(-40))*(-50)\/(-40). Let j(o) be the second derivative of o + 1\/5*o**6 + 1\/5*o**5 + 0*o**2 - 16 - z*o**4 - 2\/3*o**3. Factor j(f).\nAnswer: 2*f*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 10. Let z be (-4)\/(-24)*15 + v. Let y be 3*(27\/(-3))\/(-3). Is y not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 66 = 61 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o\/o**(3\/5)*o))\/o)\/o**(-7))**(3\/2)*(o**(2\/3)*o)**(-8\/9)*(o*o\/(o\/(o**(-1\/3)*o)))**(11\/2) assuming o is positive.\nAnswer: o**(2374\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-2))\/(23\/46)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86314, 172899, 259484, 346069, 432654?\n\"Answer: 86585*k - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3967405.8351 - -3967186. Let s = a + 220. What is s rounded to three decimal places?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:14 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 8 + 10)*(-1 + 2 + 0)*(3427*c - 3427*c - 35*c**2).\nAnswer: -700*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20757 - 3591 = 6*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z + 2*z + 2*z + (0 - 3 + 1)*(-2*z - 3 + 3) + z - 163*z + 0*z - 47*z.\nAnswer: -208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 214856 + 8117.3?\nAnswer: 222973.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/((k*k**(-2\/7))\/k)*k)*k))**26\/(k*k**0\/k*k)**(-1\/45))**(-24) assuming k is positive.\nAnswer: k**(-149816\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnn when three letters picked without replacement from rnmnrtddnrntdtrvrn.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -15943.9.\nAnswer: -4783.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -49*b - 79. Let p(z) = -51*z - 77. Let v(i) = -5*a(i) + 6*p(i). Is v(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*p - 14, -j - p + 12 = -4*p. Suppose g + 3*x = -4, 3*x = -g - g + 7. What is the remainder when g is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32819755 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30944 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 86*b**2 - 176*b + 69. Calculate t(-88).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16 = 5*c, 12 = -12*c + 11*c - 3*b. Solve c = -14*d - 9 - 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.753 - 1.633. Let i be (-2)\/(-14)*56\/(-48). Which is the nearest to -1\/3? (a) f (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -421957 and -0.1.\nAnswer: -421957.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2947*h - 3 = -8*j + 2952*h, -h - 2*h = 2*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.4, 0.132, 3 in ascending order.\nAnswer: 0.132, 0.4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 2. Let d be x(2). Let n = 12 + d. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-60))\/(-4))\/(8\/32).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 0*f)*(f**4 + 3*f**4 - 5*f**4) + 4*f**5 + 0*f**5 - 3*f**5.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/((-39)\/58) - -8)*144. Does j = -1632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 2009.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1023 and 48731?\nAnswer: 49851813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6) - 1)\/(75\/9225). Let f(d) = 26*d - 15. Let c be f(6). Let p(q) = w*q**2 - c*q + 141*q. Let z(b) = b. Calculate z(p(i)).\nAnswer: 41*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -187085, -187077, -187069, -187061, -187053, -187045?\n\"Answer: 8*i - 187093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/6 - -1)*(-42)\/315\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_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: In base 11, what is 12143243 - -5?\nAnswer: 12143248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-60.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/36 + 14\/21?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*x + 459*x + 748*x - 662*x - 66770 = 0 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -224, -885, -2268, -4637?\nAnswer: -8256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2415 and 945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.15, -0.014, -5, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -192195 at least as big as -192195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 157535456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230159.\nAnswer: 3, 7, 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9840, -0.5, 0.09 in increasing order.\nAnswer: -4, -0.5, 0.09, 9840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/(-10) - 5 - 4. What is the third smallest value in 2\/11, o, -0.04?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 97?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/232, 4, 1\/6, 1.77?\nAnswer: 1.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*q = 3*v - 7, 0 = -2*v + 2*q + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30a + -1a?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2448)*-5 - sqrt(2448)) + -3 + sqrt(2448) + 6*(-1 + sqrt(2448))*-6)**2.\nAnswer: -29520*sqrt(17) + 4115988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) -80954 (c) 3\/7 (d) -3 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3455, 3457, 3459, 3461, 3463, 3465?\nAnswer: 3467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (535\/(-40)*2)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/12 - 2*z**2. Let h(f) = 14*f - 14. Let r(t) = 17*t - 17. Let b(a) = -6*h(a) + 5*r(a). Determine b(m(c)).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/75 + (-412)\/(-6) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351, 2665, 3977, 5287, 6595, 7901, 9205?\nAnswer: 10507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4}. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1646.8 + 1647. Let w = 170 + -854\/5. Which is the closest to g? (a) -0.1 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28744218.\nAnswer: 2, 3, 691, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 447001059 to the power of 1\/2, to the nearest integer?\nAnswer: 21142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 298, 4 in descending order.\nAnswer: 298, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 117?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 5. Suppose -4*o = -5*c + 12, 4*c = -0*o - 2*o - 6. Give h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, j: 1, k: 5}. What is prob of sequence ee?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 13*a**2)*(-2*a - 3 - 2*a + 7*a).\nAnswer: -39*a**3 + 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12806394 divided by 6.\nAnswer: 2134399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.1, 335 in decreasing order.\nAnswer: 335, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 62*r**2 + 649*r - 691. Calculate t(71).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -398710.9308341.\nAnswer: 398708.9308341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 226*0.0837648\nAnswer: 18.9308448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*r**3 + 1346*l*r**2 - 4*l + 37*r**3 + 177*r with respect to l.\nAnswer: -r**3 + 1346*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 325640453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*m - 72, -72 = 4*o + 10*m - 15*m. Let y be ((-3)\/o*10)\/(5\/6). Solve 1 = y*b - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*d = -4, 0 = x - 2*x + 3*d + 11. Suppose -3*y + 4*h = -h - 363, -x*y + 571 = 3*h. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(275) + 1)*-4)**2 + -2.\nAnswer: 5760*sqrt(11) + 41902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - f + 11 = -2*f, -4*r + f = -17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13)\/k)**37 assuming k is positive.\nAnswer: k**(-481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -343*m**5\/20 + 77*m**4\/12 + 77*m**3\/6 + 6*m - 1. Let s(f) = 9*f**3 - 2*f**2 - 2*f. Give -2*n(j) - 77*s(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1817, 13357, -0.2?\nAnswer: 13357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 892.562275 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*c - 15. Let b be (-112)\/21 + c\/3. What is the nearest to 0 in b, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 850439691 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1019454806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -193 + 0*v**2 + 2*v**2 + 195 - 2*v**4 + v as s + n*v**2 + y*v**4 + w*v**3 + g*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1765\/12 - 109369\/756. Let r = -85\/126 + t. Calculate the common denominator of 3 - ((-7787)\/(-780) + 4\/(-10)) and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t + 4560 = -6626. What is the remainder when t is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {e: 4, h: 4, z: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 bigger than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2. Let y = 59 + 105. Let f = -47 - -53. Let a(l) = 2*l + 0*l + 170 - f*l - y. What is k(a(n))?\nAnswer: 16*n**2 - 48*n + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -5. Let z(s) = 2*s + 13. Let h be z(n). Calculate the highest common factor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 555 and 0.0462.\nAnswer: 25.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4, 2*a - 5*f = -a - 974. Let b = 17 - a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 + 71 = 45*d. Let f(u) = u**3 - u**2 + u. Let m be f(0). Let i(h) = -4 + m + 2*h + 2 + 0*h. Determine i(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077 = 77*q - 2080. Which is the third biggest value? (a) q (b) -2\/3 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45208300?\nAnswer: 2, 5, 452083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10900*d + 534109. Calculate i(-49).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 711 + 710 = i, 0 = 5*x - 3*i + 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l = 37*l + 182 + 268 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**4*u + 25*i**4 + 9*i**3*u - 2*i**3 + i**2 - 154*i*u + 9*u wrt i.\nAnswer: -96*i*u + 600*i + 54*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/224)\/(135\/(-2646))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 169 = 2*m, 18*m - 3*l = 15*m + 246. What is the remainder when m is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 + 2223783*c\/2.\nAnswer: c*(c + 6671349)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -743*0.5.\nAnswer: -371.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Let d(n) = -n - 8. Let i be d(-8). Let l(u) be the first derivative of i*u + 0*u**2 + 1\/3*u**3 - 2. What is l(a(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-9)\/30*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/3 + 953464*t**2 - 170454096400*t - 1022736020000\/3.\nAnswer: -4*(t - 357550)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -900 + 898. Let q(h) = -h**3 - 3*h**2 - 2. Calculate q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 5, a: 5}. Give prob of picking 1 f, 2 e, and 1 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56310 minus -1?\nAnswer: -56309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/40)\/(234\/2730).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 2*z - 1. Let x(h) = 3*h**2 - 5*h + 2. Let c = 3 - -1. Let s(f) = c*x(f) + 10*i(f). What is the first derivative of s(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/5 + 891\/85. Let m be 4\/10*(-20)\/6. Which is the second smallest value? (a) u (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 3*i + 0*i)*(1 - 1 - 2)*(1 - 5 + 7) in the form m*i + g and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30099, 59787, 89475, 119163?\nAnswer: 148851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51416832 is divided by 58.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w + 1. Suppose 8*f = 6*f + 60. Suppose f = 9*h + 3. Suppose h*p - 7 + 4 = 0. Calculate z(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + sqrt(5) + 3 + sqrt(15)\/sqrt(3))*1 + 0 + -2)**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001776554 rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 + 7*d**5 + d**2 - 6*d**2 wrt d?\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2305*k + 1005 = -2372*k. Sort k, -0.5, -0.04, 2 in increasing order.\nAnswer: k, -0.5, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275413591 to the power of 1\/2, to the nearest integer?\nAnswer: 35713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*h + 195*h - 756. Which is smaller: h or -184?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593450 is divided by 464.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080331 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(1015\/336)*10\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 44*z = -208476. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.92. Let f = 0.02 + s. Which is the nearest to f? (a) 3 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.2407 millilitres in litres?\nAnswer: 0.5802407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + 260*v + 7. Calculate r(-31).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 + 2948 - 2948.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(4\/3) + (-13 - -12). Sort g, -4, 0.078, -1\/7 in decreasing order.\nAnswer: g, 0.078, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -61?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.157 and 564.\nAnswer: 3472.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0)*(3*f + 3*f - 7*f + (3*f - 5 + 5)*(0 + 0 - 1) - 4*f + 8*f - 6*f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1839*z + 2 + 38*z - 614*z - 12. Let g be v(-14). What is g rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w**2 + 8*w + 12. Let o be s(-9). Suppose 13*j = 3*j. Solve 4*h + j*h + 14 = -2*n, -5*n = 3*h + o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23*r - 4. Determine j(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8725, -9393, -10503, -12055, -14049?\nAnswer: -16485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/4 - 20*q. Let c(i) = 8*i. What is y(c(z))?\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = b + 3*b + 40, 3*b = -4*i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/5 + 166*v\/5 - 364 = 0?\nAnswer: 13, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3 - 8290*g**2 - 2368*g.\nAnswer: -g*(g + 1184)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914*d - 1817*d - 2768*d = -73405 - 14579 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11.4. Let b = -1.1 + f. What is the second smallest value in b, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-36)\/(-5)))\/((-5)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 49*y - 292. Give t(-54).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 380. Let m be h(56). What is the highest common divisor of m and 2684?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppgrxxxxpxppwgggpg. What is prob of sequence xgpw?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*j**2 - 50*j**2 - 48*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 3*k + 5*k. Let n(d) be the second derivative of 0*d**2 + 1\/6*d**4 - 17*d + 0*d**3 - 1. Determine a(n(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7482*u + 65871. Calculate z(9).\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 - -206. Suppose -r = -4*w + 4*i, w + 0*w - 3*i = 13. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29960, -88983, -187354, -325073?\n\"Answer: -19674*t**2 - t - 10285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - 29\/(-2). Suppose 0 = -s - 4*s + f. Differentiate 3 - 5*k**3 + 3*k**s - 2 wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 31231?\nAnswer: -31302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2486050453 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/107 and -35\/41?\nAnswer: 4387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*t - 14, 2*t + 3*m - 17 = 4*t. Suppose 0 = -3*s - 17*f + 14*f + 24, 3*f + 11 = 4*s. Put s, t, 2 in increasing order.\nAnswer: t, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -238. Let f = -60 - t. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 110*u**3 + 378*u**2 - 8*u - 3. Calculate q(-3).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42459 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/9, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 - 60*o**2 - 47.\nAnswer: 4*o**3 - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 8*t - 4. Factor -32\/7 - 2\/7*x**t + 16\/7*x.\nAnswer: -2*(x - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3212 - -3211.9. Let u be -3 + 9\/((-108)\/(-40)). Let s = -0.2 - -0.3. What is the third smallest value in 5, s, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {e: 1, h: 2, t: 4, i: 1, f: 11, s: 1}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 40*s + 60. Let n be (0 - s) + 23\/((-92)\/(-56)). Solve -u = -5*t - n, 2*u - 19 = 5*t - 0*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 126 = -35*k + 78. Let x = 1534 + -799. Let l be 7\/(x\/(-108)) - -1. Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112348854359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -17.\nAnswer: 40\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/11)*s*s**(7\/3))**(2\/53) assuming s is positive.\nAnswer: s**(298\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651035719?\nAnswer: 651035719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-18) + 1\/3. Is z at least as big as -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63d7 (base 14) in base 12?\nAnswer: 9b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13242587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.9 and -420058293571.\nAnswer: -420058293582.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2586*j + 233 wrt j.\nAnswer: 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(5 + -6))\/(-7). Suppose m = 4*p + 2*o - 245 - 697, -1155 = -5*p + 5*o. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + t)*(3 - 1 - 1) - 11*t + 5*t + 4*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/5 - 100*t**2 - 20464*t\/5 - 54912 = 0.\nAnswer: -52, -40, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6096375 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.3 times 0.9?\nAnswer: 65.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 306 = -9*g. Suppose -g*m = -686 - 1239. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o. Let j(g) = -498*g**2 + 6*g. Calculate j(n(r)).\nAnswer: -17928*r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 39 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-210)*5*(-33)\/(-22).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 74. Suppose 4*s + 82 = 2*t, -13 = -5*s + 4*t - 111. What is the least common multiple of m(s) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:09 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 76436 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 722*i**5 + 2*i**4 + 529*i**3 + 40*i**2 + 135*i - 6 wrt i.\nAnswer: 43320*i**2 + 48*i + 3174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/20 + 5*r**4\/4 - 59*r**3\/3 + 84*r**2 + 801*r - 2. Factor p(x).\nAnswer: (x - 4)*(x - 2)*(x + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203*c = 665*c + 688*c - 2550 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453956542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 68 + 11 + -67 - 66\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 36*p - 128. Let s be (30\/(-9))\/(-5) + (-182)\/(-6). Is 9 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - ((-1034)\/(-385))\/(8\/(-30)). Factor -a - 81\/7*r - 27\/7*r**2 - 3\/7*r**3.\nAnswer: -3*(r + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46 (b) -0.2 (c) 1\/12 (d) 68\/15 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4560 (base 7) in base 6?\nAnswer: -11403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47351790 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1672 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 186 = -11*j. Calculate the remainder when j is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211.412 meters in micrometers?\nAnswer: 3211412000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12025 and 22536700?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4761633299262.\nAnswer: -4761633299267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2104125 or -2104123?\nAnswer: -2104125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4\/4 + 7*k**3\/3 - 9*k**2\/2 + 18*k + 7. What are the prime factors of r(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -10 + 19 - (-1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Suppose -10*h + 1692 = -h. Let o(s) = 188 - h - 8*s. Calculate v(o(z)).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddt when three letters picked without replacement from tqddsvt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740\/(-3834) - 4648\/(-10458)?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.938601\nAnswer: -0.4693005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5378604 and 31503252.\nAnswer: 220522764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5)\/j*j*j*(j*j**(-3\/2))\/j*j)\/(j\/(j*j**(-4)\/j*j)*j*j*j\/(j**(-1)\/j*j)) assuming j is positive.\nAnswer: j**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(54\/7)\/((-21)\/((-2646)\/576))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 23*n**3 - 9*n**3 + 72*n + 37*n**3 - 107*n - 123*n in the form k*n**2 + h*n**3 + c + l*n and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 6a54c?\nAnswer: 6a551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let j(w) = 0 - w + 1 + 3 + 12*w. Is 16 a factor of j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4547 - 78973 = -15*j. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 8, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82984267.\nAnswer: 19, 59, 74027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7980 and 4020780?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-8)\/(-3))*-48. Suppose 150*x - 144*x = 168. What is the greatest common factor of x and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4523227 or 4523246?\nAnswer: 4523227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 119\/2*(-1484)\/(-56763)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7956*z - 1185458. Determine m(149).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 5*k - 54, 5*y = -40*k + 37*k + 51 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/1)\/(4\/6). Is 2\/(-6)*(-1413)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1450300 + 0.14.\nAnswer: 1450300.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6130 by -5.\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**4 + 8*r**3 + 3*r**2 + 4. Let a(t) = -t**4 - t**3 - t**2 - 1. Let w(d) = -12*a(d) - 3*j(d). Factor w(v).\nAnswer: 3*v**2*(v - 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c - 64. Let z(s) = 32*s + 112. Let k(b) = 7*g(b) + 4*z(b). Let o(i) be the second derivative of 2*i**3\/3 + 6*i**2 + 17*i. What is o(k(q))?\nAnswer: 8*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 - p + 3. Suppose -3*t = -6*l + 9*l - 21, -5*l + t = -17. What is the least common multiple of l and a(3)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-15))\/((-37)\/(-111))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -5 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 6:28 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7 - 13*d + 7 - 3 + 12*d. Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiddi. Give prob of picking 2 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 576 = -19*q. Suppose -20*m + 20 = -q*m. Calculate the highest common divisor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123882146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/((-80)\/6))\/((-22380)\/320). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 = -5*f, -2*k + 6 + 3 = -f. What is the first derivative of -g**2 + 23 - k + 594*g + 13 - 600*g wrt g?\nAnswer: -2*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(720) + sqrt(720)*-1 + sqrt(720) + -4)*5)**2 - (sqrt(720) + (sqrt(720)*-1)**2 + 1 + (sqrt(720) + 1 + sqrt(720) + -2 - sqrt(720))**2).\nAnswer: -38388*sqrt(5) + 292958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 605 and 397870.\nAnswer: 4376570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 3*f + 2, 2*q - 4*f + 16 = 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 33*d - 15. Let b be r(6). Suppose 4*l + 0*g + g = 143, 3*g + b = 5*l. Calculate the greatest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124897 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113722460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20220020121 (base 3) to base 4.\nAnswer: -201021130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*s - 2*s + 34 = 0, -159*h + 2*s - 2*s + 76 = -155*h + 2*s for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*s + 1 + (3 - 1 + 0)*(2 - 2 - s) + 17 + 4*s - 17 to the form r + x*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 4793968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 97*h. Let k(b) be the second derivative of -b**4\/12 - 93*b. Determine k(m(w)).\nAnswer: -9*w**4 - 582*w**3 - 9409*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158468594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (-1 - (7 - 12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g. Let u(n) be the third derivative of -5*n**5\/3 + n**4\/6 - 67*n**2 - 12*n. Determine u(x(p)).\nAnswer: -6400*p**2 + 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-570)\/19)\/(-1560))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.7 - 35.7. What is the nearest to l in -3, -1, 2, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 1\/6 (b) 3 (c) 5 (d) -3 (e) 1.868\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 7*s - 4. Let g be 25 + 0\/s - 2. Suppose -2*n - 4*l = -36, 4*n + g - 77 = l. What is the least common multiple of n and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38706.0332597 + 48.0190597. Let m = r + 38625. Let g = m + 33. What is g rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117723020 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001284 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 31*c + 718. Let x be u(-22). Let g(q) = 28*q**2 + 1. Let r be g(-1). Let o(i) = -r*i + x*i - 22*i. Let f(a) = -a. Determine f(o(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + -5 + (-2*sqrt(468)*-5 + -5)*6)**2.\nAnswer: -28080*sqrt(13) + 1686316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 257, 571, 997, 1529, 2161, 2887, 3701?\n\"Answer: -y**3 + 65*y**2 + 8*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 + 6*f**2 + 2*f**2)*(-13*f - 5*f**2 + 13*f + (1 + f - 1)*(5 - 5 - f)) to l*f**2 + d*f + h*f**4 + g + a*f**3 and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 15*u**2 + 22*u - 22. What is the least common multiple of 3 and n(-13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 9*k + 11*k - 3)*(-4*k**2 + 14 - 14) as f*k**2 + d + s*k + t*k**3 and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-28)*4)\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 89, -45, -5, 3, 2\/7?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/10)\/(2\/5). Let c be (-40)\/l*6\/(-1). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**2 + 3 - 3 + x**2 + x**2 - 4*x**2 + (-x - 4*x + 4*x)*(-x + x + 2*x).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 - 7*t + 2. Let a be u(7). Suppose -a*s - 2*s + 31951760 = 0. Suppose 5*v - s = 512060. What is v rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 2)*(3 - 3*j - 3) - j - 5 + 5 + (-8 + 5 - 17)*(0 - j + 0) to the form a*j + q and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -637480?\nAnswer: -637479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2916*a**3 - 266544*a**2 - 6091024*a = 0.\nAnswer: -1234\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-5)\/(-3). Let k = 273.91338 + -0.01338. Let w = k + -273. Sort s, w, -0.1.\nAnswer: -0.1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 25*p + 56. Let h be o(27). Solve 0 = 6*j - h*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 2*p**2 + 2*p + 4. Determine m(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 + 4*j - 2. Let n(v) = 21*v**3 - 21*v + 11. Determine -2*n(t) - 11*w(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 1261*i**2 - 4 - 293 - 160.\nAnswer: -1261*i**2 - 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0039058 millilitres to litres.\nAnswer: 0.0000039058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035*t**3 - 103415*t**2 + 300930*t = 0. Calculate t.\nAnswer: 0, 3, 20062\/207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(40) + sqrt(1000)*2 + sqrt(40))\/(sqrt(16)\/sqrt(2)*3).\nAnswer: 13*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10492 divided by -356\nAnswer: -2623\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2. Suppose 0 = 2*b - 4. Let s(z) = z**2 - 3*z + 3. Let m be s(b). Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by 225?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1583715*m**3*o - 2180643*m**3 wrt o.\nAnswer: -1583715*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 1, k: 3, e: 4, h: 1, t: 4}. What is prob of sequence jz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 391262400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*s + 404*s + 249*s - 4.\nAnswer: 1172*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 4*u - 2. Let g be d(7). Let n = g + 135. Let x be (-4)\/(-7) - (-1035)\/n. Calculate the highest common divisor of x and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.369 + -0.031. Which is the closest to 2\/13? (a) -3 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 61465549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:28 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 divided by 88?\nAnswer: 257\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 22*n**2 + 2*n + 3. Let i(g) = g**3 - 11*g**2 - g - 1. Let o(j) = 11*i(j) + 6*u(j). What are the prime factors of o(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/16 - -4)*(-8198)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5479*i*u**2 - 105*i + 2*u**3 + 75*u**2 - 11465 wrt u.\nAnswer: -10958*i*u + 6*u**2 + 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 22*v + 11 = 0, 16379 - 16363 = m - 5*v for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25014 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4144 - 3.837. What is g rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:04 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116.9 + 116.9. Which is the nearest to -1\/7? (a) i (b) -4\/9 (c) -0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5155*g + 478*g - 22*g = -536*g + 295056 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -945, -4, -3 in decreasing order.\nAnswer: 2, -3, -4, -945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, f: 9}. What is prob of sequence jff?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 1, 293, 3, 5, -5 in descending order.\nAnswer: 293, 5, 3, 1, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/4828*-142 - (3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g - 2*v - 1051, -4*g + 833 = v. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -259 + 258.9999746. What is v rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/5*m + 9\/5*m**2 - 9\/5 = 0.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2156095765.28 less than 4?\nAnswer: 2156095769.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-462)\/(-5))\/(52\/390). Let k = -1328 + n. What is k rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 323\/3 - 965\/9. Sort v, -5, 3, -1 in increasing order.\nAnswer: -5, -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/28 - 8\/28)\/(70 + -73)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224364 divided by -84.\nAnswer: 2671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2418701 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74084\/381 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 28*s**2 + 164*s - 80. Let o be y(20). Factor 32\/9*z**3 + 0 + 16\/9*z**2 + o*z + 4\/9*z**5 + 20\/9*z**4.\nAnswer: 4*z**2*(z + 1)*(z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*c - 121, -c - 6323 = 5*z - 6279 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wixhd. Give prob of sequence dhw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13113042 (base 5) in base 6?\nAnswer: -2433523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, f: 5}. Give prob of sequence kkkk.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 2*h + 1 - 10, -4*w + 5*h + 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (5\/4 - -1). Let z = -12175 + 12174.8. What is the nearest to y in 0, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12718, -101644, -342994, -812980, -1587814?\nAnswer: -2743708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, d: 7, v: 3}. What is prob of picking 3 d?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 14*p**2 + 23*p + 120. Let c be m(-15). Solve 4*a = 2*i - 10, c = -5*i - 3*a - 1 - 39 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 4. Calculate the lowest common multiple of c(3) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22269.5 times -913\nAnswer: -20332053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhphhhhhhhhhhhh?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 14*s**2 - 25*s - 17. What is p(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.8264 kilograms to milligrams.\nAnswer: 3826400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1\/5, 2\/3, -2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 139*s - 1250. Is u(27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) -0.2 (c) -1 (d) -66 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-16) + 1436\/720 and 127\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-132) - 101*(-1)\/(-11). Let d be j\/(-6)*12552\/(-36). What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 1)\/2)\/(-2). Let n be (-3 + o)\/(4\/(-2)). Let r = 80 - 75. Which is the closest to -1\/2? (a) r (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (49 + -21 + -17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 12*j + 34 = 4*w, -4*w - 5*j = -37. Solve w = 4*q + 5*k, 2*q + 0*k + 10 = k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*t*w**2 - t*w + 26720*t - 3*w**2 + 2*w wrt w?\nAnswer: 78*t*w - t - 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 536578069 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2898)\/16905)\/(4\/(-42))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - -67789?\nAnswer: 6781c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 5*q - q)*(-5*q**4 + 4*q + 4*q**4 - 18*q).\nAnswer: -q**5 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 2*i - 6 + 32*i - 3 - i**2. Calculate the lowest common multiple of s(-11) and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*j - 3*k, 10 + 3 = 2*j + 3*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6.01. Let j = m - -0.29. Which is the third biggest value? (a) -2\/5 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177360 greater than 177312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2*t - 1. Let c be w(-2). Suppose 3*r = 6*r. Let s be 1 + r + c + -11. Is 1\/2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.6. What is the second smallest value in u, 3\/4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2371 divide 1439197891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -4, 1\/6, 19\/4, 0.82, 1\/3, 4\/5?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-16 - -13 - 239\/(-33)). Let h = -4 + w. Calculate the common denominator of h and -34\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/7)\/((-20)\/(-70)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.08 (c) 0.4 (d) -4 (e) 1\/4 (f) 1 (g) 0.33757\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {w: 6, h: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -4 + 1)*12\/2. Let y be (2\/(-6) - -2)*d. What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 992 and 620?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 108. Suppose -d*u + 97 = -0*u - j, 2*u + 2*j = 46. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 6*b**2 + b**4 - 2*b**4 - 2*b**3 - b**4 + 3*b**4 to the form z*b**2 + f + n*b**3 + c*b**4 + s*b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1310080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, -7, -66, -125, -184, -243?\n\"Answer: -59*v + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 7 + 3 + 1. Let m be v(7). Let j be 0\/m + 2 - 0. Calculate the greatest common factor of 4 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/3825802 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 407 or 410?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10715008 and 32?\nAnswer: 10715008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 117?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from djybybx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*j + 148*j - 241*j + 2*j**2 - 47*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 130191*l.\nAnswer: -3*l*(l - 43397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 3231080658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 120175467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*i = -5, 0 = 4*c + 2*i - 218 + 196 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89177 is divided by 444?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-1 - 0))\/(-1 + 3). Suppose g*a = -a - 36. Let z = a + 223. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let i be (0\/(-1) - 4)\/1. Let r be a(i). Suppose 3*q = 3*g + 2*q - 5, r*q + 20 = 2*g. Solve g = 5*x - 4 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19444 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n - 1. Let h be p(3). Suppose -h + 27 = 4*j. Suppose -3*d - 61 = -j. Round d to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -616 by 4.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21*q**2 + 11*q - 11. Suppose -2*g + 0*g = 22. Let d(t) = -4*t**2 - 2*t + 2. Let w(l) = g*d(l) - 2*z(l). Let v(c) = -6*c**2. Determine w(v(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**2 + 3*q - 4. Let d(f) = -3*f**2 - 4*f + 3. Let x(b) = -2*b**2 + b. Let c(t) = -d(t) - 2*x(t). What is 7*c(i) - 5*j(i)?\nAnswer: -6*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 + 0.1. Let y = -1.64 - 0.33. Let h = y + j. What is the closest to h in -0.1, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-50))\/(27\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6741558 - 3517558. What is r rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:41 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1417 less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67045440 to the power of 1\/2, to the nearest integer?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3976 - 0.3042.\nAnswer: -1.7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -87*h**5\/20 - 2*h**4\/3 - 5149*h**3\/6 + h**2 - 29*h + 22. What is the second derivative of q(d) wrt d?\nAnswer: -522*d - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 148\/180 - (-4)\/(-18). Factor 4\/5*c**2 - j*c**3 - 2\/5 + c.\nAnswer: -(c - 2)*(c + 1)*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = 4*y, y = -0*w + 3*w + 21. Let u be (44\/w + 5)*-6. Suppose -11*l + 41 + u = 0. Which is the smallest value? (a) 1 (b) l (c) -0.1 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - m**2 + 18*m - 4 - 8*m - 2. Let y be c(5). Let k(w) = w**2 + w - 1. Is k(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*j + 243*j - 11340 = -142*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 385575\/(-30)*((-24)\/(-5))\/(-6). What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -1116.1?\nAnswer: -1115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*l**4 + 3*l**2 - 42.\nAnswer: -432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 30 (c) -4 (d) 1 (e) 71\/3 (f) 23\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13 - 41 = 0. Let v(w) be the first derivative of -w**2\/2 + w - 1085. Give v(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*q + 32 = 0, 0*k - k = 3*q - 12. Suppose 9*c = 5*c + k. Solve 5*x - 2 = c*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 + 6*k + 6. Let y(l) = l**2 + l + 1. Let x(n) = -s(n) + 6*y(n). Let z(b) = 29*b. What is z(x(p))?\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/880 and -23\/150320.\nAnswer: 1653520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 61.89939 days?\nAnswer: 5348107296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 2. Let f be i(-7). Let x be (-98)\/f + (-5)\/30. Suppose -4*u - 2*d + 10 = 0, d - 25 + x = -5*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97077022 by 8.\nAnswer: 48538511\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*f + 3*l, 0 = f - 2*l - 2*l + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 34\/(-2) - -3. Let z = d + -9. What is the smallest common multiple of 6 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*a = 3646, -h + 4*h - 3*a - 2730 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15237 and -29?\nAnswer: -4.41873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2626 - -2.\nAnswer: 2.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*j = -30, 3*m - 4*m - 12 = -j. Let h = 0 - m. Suppose -2*c - 2*t = -18, 0 = -h*c + 4*c - t + 45. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111216*b**6 + 170645*b**2?\nAnswer: -13345920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*g + 4*g - 29, 0 = 2*q + 2*g - 50. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5923607 to the nearest integer?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-3)*(-5)\/((-25)\/(-26)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485136 is divided by 1270?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 3*h + 2. Let g(t) = -8*t**2 + 8*t + 6. Suppose 16 = 3*s - p, 2*p = 4*s - 2*p - 32. Determine s*g(f) - 11*l(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 17*s - 191. Let c(l) = -2. Let g(n) = -a(n) - c(n). What is the derivative of g(j) wrt j?\nAnswer: -2*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001573457 to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 6.7. Let h be (-2)\/4*137*(-48)\/20. Let z = h - 165. Sort -3\/4, z, f in decreasing order.\nAnswer: f, z, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-17 + (32 - 8))) + 137\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*f + 28*f - 67*f)*(2 - 3 + 4) - f + 6*f + 0*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1501 + 561. Let k = 864.7 + q. Round k to zero dps.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15606 (base 8) to base 6.\nAnswer: 52342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3\/7)*i*i)**(-1\/22))**11)**25 assuming i is positive.\nAnswer: i**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11 - 7*j**2 - 12*j + 2*j**2 + j. Let y(p) = p**2 + 2*p + 2. Give -4*i(g) - 22*y(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 3\/5 (b) -1\/8 (c) -2\/13 (d) 307.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 4.4. Let d = -0.034 + -0.366. What is the closest to -2\/5 in -0.5, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 8) to base 9\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 13. Let r be i(-13). Suppose d = -2*y - r*y + 63, -5*y + 154 = -d. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/4 - y**3\/6 - 50*y**2 - 2*y. Let f(a) = a. Calculate -4*f(t) - q(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.5 + -11. Let i be 4\/((-168)\/(-471))*-12. Let y = 135 + i. Put 2, y, c in descending order.\nAnswer: 2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 11*q**2 + 26*q - 11. Let j be o(8). Solve -5*d = 2*y + 20, -2*d + j*d = 5*y + 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0257 + -4.9743. What is the third biggest value in -2\/5, 0.08, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 4:03 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -203, -4, -3, -5.\nAnswer: -203, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {s: 1, d: 2, p: 1, u: 4, l: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23525829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**5 - g**3 - 144*g**2*z + 7*g*z + 209*z wrt g?\nAnswer: -100*g**3 - 6*g - 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 3, 0, 1\/5, 6938?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 6*z - 3. Let k be d(-7). Let f = 26 + k. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l)\/(l*l**(-1\/4)\/l)*((l**(2\/5)*l)\/l)**(2\/67))**(27\/7) assuming l is positive.\nAnswer: l**(226557\/9380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179062087 - 403?\nAnswer: 1179061684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1491819\nAnswer: 1\/213117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.039 + 414.961. Let a = i + -410. What is the fourth biggest value in a, 0, -16, 5\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*s**4 + 105*s**4 + 166*s**4)*(4*s - 6*s + 3*s)*(1 + 0 + 0) + 2*s**5 + 0*s**5 - s**5.\nAnswer: 171*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 12*i**2 + 7*i + 5. Determine k(12).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -11) + -15 - -4. Let c(x) = -x - 1 + 2 + 2*x. Let n(a) = -3*a - 3. Determine h*n(i) + c(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 + 2*s - 4*s + 9*s**2 + 26. Let u be n(-8). What is the highest common divisor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143616 by -12.\nAnswer: 11968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74, -110, -178, -284, -434, -634?\n\"Answer: -k**3 - 10*k**2 + k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-6)*(15290 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-10 - -5) + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 2*o. Let t be (2\/o)\/((-4)\/(-12)). Find the third derivative of -4*x**2 - 4*x**5 + 4*x**2 + x**t wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*x**2 - 81*x**2 - 5*x - 3*x + 3 + 8*x in the form b + y*x**2 + g*x and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 + 4*d**4 - d + 3*d**4 + (-3*d - d + 3*d)*(d**2 - d**3 - d**2) - 5*d**4 + d**4 + 2*d**4 as a*d + s*d**3 + i*d**2 + o*d**4 + f and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12880 divided by -14?\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 66. What is the units digit of m(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*u = -35, 18 = 2*t + 5*u - 3*u. Let i be -6*(-2)\/4 + 11. Let o = i + -12. Put t, o, 3 in descending order.\nAnswer: t, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20766*i - 20762*i + 143 + 116)*(0*i + i + 0*i).\nAnswer: 4*i**2 + 259*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c**4 + 293*c + 1320. Let d(f) = 2*f**4 + f + 1. Let t(x) = 6*d(x) - v(x). Differentiate t(y) wrt y.\nAnswer: 4*y**3 - 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2344214179 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27890446 divided by -27890446.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -298*g - 88. Let w be j(1). Are w and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 34.32. Let z = -925.68 + 926. Let v = r - z. Which is the closest to v? (a) 2\/39 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.31.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 36*k + 36. Let b be g(22). Let a = -89 + b. What are the prime factors of a?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.84 + -236.16. Let c = x - -238.99778. What is c rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6.591?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 17*b - 54. What is o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-2) + 0\/11. Solve 6*p = 2*p + q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**1))**(1\/5))**(-24) assuming m is positive.\nAnswer: m**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, b: 2, z: 7, g: 4}. Give prob of picking 1 g and 1 z.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**2 - 243*s + 123. Let q be h(40). Which is the fourth smallest value? (a) q (b) 4 (c) 8\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + r - 9869, 0 = 6*w - w - r - 9861. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22433.64ug to grams.\nAnswer: 0.02243364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**7\/2520 - x**6\/360 + x**5\/120 - x**4\/3 - x. Let v(c) be the third derivative of q(c). Calculate v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 390*a**3 + 306544*a**2.\nAnswer: -a**2*(a - 392)*(a + 782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014356 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9563 not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 4*c + 23 = 0, 0 = -v + 3*c - 1. Suppose -v*u + 4 = -1. Let s be 53*(0\/(-1) - u). What is s rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from uujjkxuxjkkuoxjudukj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*-4*5*2)\/(3*-1*sqrt(10) - sqrt(70)\/sqrt(7)*3).\nAnswer: 40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1341.332 and 4.512.\nAnswer: -1336.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**5 - 1422*h**4 + 2*h**2 - 3*h + 10540.\nAnswer: -180*h**2 - 34128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 744 + -703.9. Round k to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1993 and -2033.\nAnswer: 4051769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 781*y - 2681. Determine p(5).\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 540\/(-24)*2\/(-3). Let n be (-12)\/f + 1670\/25. What is the greatest common divisor of 44 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69945390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 26*g - 179. Let f be z(7). Solve -m = f + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18*w - 16*w - 3.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*b - 300 + 300)*(-5*b**3 + 5*b**3 + 3*b**3) to g*b + x*b**3 + r*b**4 + j + s*b**2 and give r.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2828, 2796, 2764, 2732, 2700, 2668?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-1120)\/(-28))\/(-40))\/((-7)\/(-11))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + (-3)\/12. Suppose 2*r - 12 - 18 = a. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/72 and (-252)\/(-54)*(2 - (-12)\/21).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:57 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/180 + c**5\/60 - c**4\/6 + 5*c**3\/3 - 2*c**2. Let h(m) be the first derivative of k(m). Is h(5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53915 and 410.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65))\/sqrt(5) - -6*2*sqrt(13).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = s + 9, s - 2*w = 2*w + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70528 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: Suppose 5*h = -4*b + 64, -4*h + 3 = b - 6*h. What is the least common multiple of b and 23?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - (-30)\/10) + 110\/(-2). Let u(w) = 31*w - 4. Let s be u(-3). Let y = h - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 5*g - 5, 5*w - 2*g - 11 = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/252*-9)\/3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/(2\/14) + (-846000)\/(-12000).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i - 46. Let j be q(-8). Suppose o - 8 = 2*r - 5*r, -j*r = -2. Solve 4*v + 7 = -3*a - 10, 0 = v + o*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59827357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 less than -823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l + 6 = 0. Solve -11 = l*n + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 + 3 + (-5 - -2) - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.529821 nanometers in millimeters?\nAnswer: 0.000007529821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -583 - -622. Solve -2 = 41*i - z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -4. Let g(x) = -2*x + 33. Let d be g(14). Solve o + u = d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 684 = 6*t. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 13003101?\nAnswer: 13003075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517761.\nAnswer: 2517761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r + 4. Determine h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -s - 5, 0*s - 2*s - 2 = 4*d. Let o(h) = -s*h - 2*h + h. Let n(w) be the second derivative of w**3\/3 + 21*w. What is o(n(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 949283*v**2\/3.\nAnswer: v**2*(v + 949283)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a*a**11*a)*a*a*a**(-4)*(a**(-1)*a)\/a**(-1\/11) assuming a is positive.\nAnswer: a**(-164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 822 - -159368?\nAnswer: 160190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -1515, -3707, -6755, -10647, -15371?\nAnswer: -20915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -29*q**2 + 40*q + 84. Give o(-2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -13. Let f(j) = 3*j**2 - 7*j - 11. Let p(a) = 2*a**2 - 3*a - 6. Let o(v) = 3*f(v) - 5*p(v). List the prime factors of o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10600 is divided by 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45485 + 245393 = 622*m + 1229*m. Suppose -3*s = -21 - 9. What is the remainder when m is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*u**3 + 36*u**2 - 3 + 74*u**3 + 3 wrt u?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 60*a**2 - 384*a + 9. What is j(5)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*((sqrt(1575) + 0)*1 + (sqrt(1575) - sqrt(1575)*-2)*-4))**2*6.\nAnswer: 23760*sqrt(7) + 18295254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/((-30)\/(-3))*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2806 (base 12) in base 3?\nAnswer: -20022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10362593 to the nearest integer?\nAnswer: 3219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 - 25*c**2 - 32*c**2 - 2*c**2 + 2*c**2 - 3*c**2 + 3 - 3 - 2*c**2 + (1 - 3 + 3)*(2*c**2 - 5*c**2 + 2*c**2) + 4*c**2 + 0*c**2 - 3*c**2.\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2517859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from tsssgsssssqtg.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -0.7, -6, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 - b - 1. Let y be w(3). Let z be 36\/14 + 45\/105. What is the highest common divisor of z and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*g - 4*h, 30 = -12301*h + 12306*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, -2, 6 in descending order.\nAnswer: 6, 4, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 3*w + 3. Let b be (3\/9)\/(-1) + (-175)\/(-21). Let c(y) = y**2 + y - 67. Let a be c(b). Determine x(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119*-27.63232\nAnswer: -3288.24608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 481*r - 14420. What is q(30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 517582\/(-13260) - 39*-1?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -h - 5. Calculate the smallest common multiple of h and 2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 41878*b - 1384152.\nAnswer: 2*(b - 33)*(b + 20972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(495) - 2*sqrt(495)))\/(-2*sqrt(110)\/sqrt(10)*-3) + 2.\nAnswer: -sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -49 in decreasing order.\nAnswer: 4, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 23*l + 5. Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/897115 or 1?\nAnswer: -1\/897115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 30. Let m be d(-7). Suppose -3*s = m*o - 0*s - 12, s = 5*o - 16. What is the greatest common divisor of 9 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5455, -4179, -2903, -1627, -351?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f621 - -20?\nAnswer: -f601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, 0.2, -2, 2\/13 in decreasing order.\nAnswer: 2, 0.2, 2\/13, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 513*a**2 - 19174*a + 3333. What is j(-548)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 21*j**2 - 1885*j + 31411. Calculate d(16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -188930 to the nearest one thousand.\nAnswer: -189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a. Let j(u) = 2*u**2 - u. Let n(b) = -b**2 - 44*b - 46. Suppose 5*i + 60 = -155. Let x be n(i). Calculate x*j(v) + 2*f(v).\nAnswer: -4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179201511 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 39*l - 7. Let i be 6 + 1 + 27\/(-9). Let o(g) = -2*g**2 - 20*g + 4. Let q(r) = i*j(r) + 7*o(r). Find the second derivative of q(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483*b + 2*u - 12 = -1480*b + 4*u, 2*b + 4*u = -32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - (-861)\/84)*(-16)\/(-6). Which is the nearest to -2\/7? (a) -0.12 (b) 0.5 (c) m (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132162998 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-4 - -16) + 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z - 44. Is ((-2)\/4)\/(z\/30778) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5303977 times 15?\nAnswer: -7.9559655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60444 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiiy when four letters picked without replacement from {v: 3, i: 4, y: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 16*p**2 + 16*p - 2. Let g = 36 - 21. Let r be x(g). Let v(t) = t + r*t + 7*t - 9*t. Let k(j) = -j**2. Determine v(k(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-609)\/147)\/29*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653935 is divided by 1065.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*g - 2*g + 10, -4*g = 3*d - 13. Suppose -b + g*b = 27. Suppose -4*n = -b*n - 5. Let p(y) = -7*y**3 + 2*y + 1. Calculate p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/137649235 and -101\/1720.\nAnswer: 1101193880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-2)\/(-6))\/(37\/(-111)))\/(3\/30). Put 15, p, 4, -4 in decreasing order.\nAnswer: 15, 4, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(26180\/672)*11*2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/8))**(3\/29) assuming m is positive.\nAnswer: m**(27\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.172 - -0.628. Which is the closest to -0.1? (a) -0.3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184\/3*b - 554\/9 + 2\/9*b**2 = 0.\nAnswer: -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24529 - 24529 - 1894*a**3.\nAnswer: -1894*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 3201*y + 6390 = 0.\nAnswer: 2, 1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u + 3. Let z(d) = d - 1. Let s(y) = -a(y) - 3*z(y). Let x(j) = -2*j**2. What is s(x(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126189072 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 4*k**2 - 8*k - 4. Let d(j) = -2*j**3 - 11*j**2 + 24*j + 11. Let y(i) = 4*d(i) + 11*r(i). What is the second derivative of y(s) wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -1\/18*f**3 + 0*f**2 - 3*f + 0 - 1\/36*f**4. What is v in k(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 1. Let t be v(-7). Suppose 0 = -3*r - 0*r + t. Suppose 3*k + r = -4, 2*u - 6 = 4*k. Put -5, u, 3 in descending order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438275722?\nAnswer: 2, 219137861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160383360.\nAnswer: 2, 3, 5, 103, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 19. Let t be m(-8). Factor -2*x**2 + 17*x**t - 12*x**3 - 10*x**3.\nAnswer: -x**2*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*m = -82, 5*m + 7 = -n + 8. List the prime factors of 8\/n*6 + 131.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 529, 2, -5, 5, 32, -3, -2 in increasing order.\nAnswer: -5, -3, -2, 2, 5, 32, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*(n*(n*(n\/(n\/n**(-2\/3)))\/n)\/n*n*n)\/n)**(8\/11)\/(n**2*n\/(n**(4\/7)\/n))**(-34) assuming n is positive.\nAnswer: n**(26480\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(7 - 15). Sort -1, -4, y.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 36287343.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -6*n + 5*n - 2*w, 4*n - w - 213 = 0. Let d(h) = -h**3 + 10*h**2 - 2*h - 59. Let y be d(8). Let x = y - n. Solve -2*q + 0*q + 6 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:33 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-4*m - 1 + 1) + (3 - 3 + 2*m)*(-7 - 9 - 2 + (1 + 0 + 1)*(-1 + 1 + 2) - 1 + 4 - 1).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -719 + -2?\nAnswer: -71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 481.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -6\/19, 19, -15886, 0.4 in increasing order.\nAnswer: -15886, -6\/19, -2\/7, 0.4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9787, 19568, 29349, 39130, 48911?\n\"Answer: 9781*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(343) + ((sqrt(343) - 2*sqrt(343)) + 3 - sqrt(343))**2 - (1*(-2 + sqrt(343)))**2).\nAnswer: -49*sqrt(7) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 81.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 11. Suppose -3*u - 2*u + t = -29, -2*u - 5*t - r = 0. Let o = -2.3 + 2.2. Which is the nearest to o? (a) u (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056647 and 33145348?\nAnswer: 629761612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -731*b**2*n*p + b**2*n - 84*b**2*p - 3*b**2 + b*n*p + 2*b*p - 195*b + 21*n - 5*p - 2 wrt b?\nAnswer: -1462*n*p + 2*n - 168*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13463 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (8\/12)\/((-6)\/(-189)) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -211*x - 14. Determine b(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*89\/5 - 4608\/(-1440)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784260 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -381*j + 24. Let z(h) = 190*h - 11. Determine -6*o(n) - 13*z(n).\nAnswer: -184*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142122368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1232 = 3*p, -1350*p - 2462 = -4*q - 1355*p. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let x(h) be the second derivative of 0*h**2 + 0 - 13*h + 7\/6*h**3. What is r(x(n))?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4554 or 4555?\nAnswer: 4555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q + 2*q - 3*q + (3 + 6 - 5)*(-4 + 4 - 1)*(4*q - 20 + 17 - 2*q).\nAnswer: 2*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + l - 5 - 1, -26*t - 3*t - 9*l + 3*l = -26*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594856.\nAnswer: 2, 74357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 t when three letters picked without replacement from tdvtx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -3, -2 in increasing order.\nAnswer: -3, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 8*w - 6. Suppose 0 = -4*m + 20, j - 2*m - w*m + 22 = 0. Solve -12 = -o + 4*o, -2*d = -j*o - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**5 + 23*v**5 + 0*v**5)*(-3 + 1 - 3).\nAnswer: -85*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11850157 is divided by 240?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 288552*b**2 + 288551*b**2 - 1.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c**2 - 17*c - 8*c**3 - 22 + 4 + 7*c**3 + 8*c**2. Let d be h(18). Solve d*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98344 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29671 + -29651. What is the greatest common factor of v and 27600?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 * -0.1763\nAnswer: 19.9219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 52 + 67 = 3*n, 0 = -4*n + 4*z + 152. Let s be (-119)\/(-21)*(1 - -2). Suppose -5*v = -s*v + 780. Calculate the greatest common factor of v and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -2. Let s be 225 - i\/((-8)\/12). Let b = s + 20. What is the greatest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 98*b**2 - 409*b - 78. Give p(-102).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l = -44*l + 1212. Solve 14*q - l*q = -2*m + 2, m - 5 = -3*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 28563*f**2 - 728676*f - 286900.\nAnswer: (f - 5738)*(f + 25)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 37*w + 181. What is r(-2)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -222881, -445758, -668635, -891512, -1114389?\n\"Answer: -222877*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 15*l**2 + 16*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23175475603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*l - 255*w + 253*w, 2*l = 5*w - 7 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/8*o**4 + 9*o + 0 + 7\/4*o**3 + 17\/2*o**2 = 0. Calculate o.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o + 1. Let j be u(5). Let c(h) = 4*h**2 - 258*h - 2911. What is the remainder when c(-10) is divided by ((-2)\/j)\/(3\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + ((sqrt(84) + sqrt(84) + sqrt(84)*3 + sqrt(84))*3)\/(sqrt(3) - (sqrt(6) + sqrt(216))\/sqrt(2)) + -1.\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = 3*m. Suppose 68*x - 64*x = -5*z + 72, 3*z + 72 = 4*x. Let q be (-1)\/3 + m + 60\/x. What is the second biggest value in -1\/4, -2\/11, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11136976?\nAnswer: 2, 696061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and 59\/9122.\nAnswer: 9122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 429\/(-26) - 124\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*w - 97 = -0*w, -3*q + 5*w + 83 = 0. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + 75. Let y = 190 - l. Calculate the remainder when 149 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-7) - (-9 - -1 - (-93 - 56118\/(-658))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 16*m = 154369. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 18*w**2 - 2*w + 5. Give r(18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1881.67 - 1881. Which is bigger: s or 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -0.31581, -3\/2, 631?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -2*r**2 + 0*r**3 - 131*r + 1\/12*r**4 - 2. Calculate t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2415 = 312*l - 11151 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -392185*z**3 + 4*z**2 + 392186*z**3 - 5*z**2 + 102*z to r + w*z**3 + o*z**2 + f*z and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 2*r - 128. Suppose 5*q = -5*c + 15, -5*c = 4*q - 15 + 1. What is the greatest common factor of r and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4561 - 142?\nAnswer: -46a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204 is divided by 726.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 48\/7*l - 12\/7 - 3*l**2 = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + 783. Let t = g + -546. What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00276677289 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-656)\/48 - (-8)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618185 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 26*x + 4. Let o(s) = s - 1. Let z(m) = -j(m) + 5*o(m). Let b(r) = 20*r + 10. Let i(w) = -5*b(w) - 6*z(w). Differentiate i(f) wrt f.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 8*y - 11*y - 11, -3*k - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.3 * -55.\nAnswer: 2601.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = 0, -3*h + h + u = 531. Let w = h + 355. What is the smallest common multiple of 8 and w?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483715 is divided by 103?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n + 205*n = 99*n. Solve n*c - 8 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.967695 hours to seconds.\nAnswer: 3483.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a**2 - 9*a + 12. Let r be f(7). Let n = -4888 + r. Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i - 32. Let s(l) = -3*l**2 - 375*l + 163. What is -5*o(m) - s(m)?\nAnswer: -2*m**2 + 385*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 5*u = 62 + 37, 5*y + 22 = 2*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2487873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -498750 or -498717?\nAnswer: -498750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212053*b**2 - 423931*b**2 + 211880*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7, 8\/7, 3?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 47. Let j be u(6). Which is the second biggest value? (a) 4 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315080, -1260214, -2835438, -5040752, -7876156?\nAnswer: -11341650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003604 is divided by 25240.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35491736.\nAnswer: 2, 7, 633781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*7)\/(5\/(-65)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 43 = -60. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 109 = -3*q - 2*x, -4*x + 78 = 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1974689 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**4 + 3*s**2 + 1. Let w = -5 + 8. Let f(x) = 7*x**4 + 5*x**2 + 1. Let h(n) = w*f(n) - 5*k(n). What is the first derivative of h(a) wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 0.24?\nAnswer: -9.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1324424, 1324423, 1324422, 1324421, 1324420, 1324419?\n\"Answer: -w + 1324425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*q + 10 = q, 2*h - 16 = 5*q. Let n be 1 + h + -1 + -4. Is n equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*a - 2550, 2*a = l - 945 + 306. Suppose 0 = -g + 6*g - l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 47*b + 332376 = 42*b. Solve -b*h - 8 = -13850*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483849324 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/30 + 21\/((-1575)\/(-10)). Suppose m*j - 126 = -2*p, 5*j - j + 108 = 2*p. Calculate the highest common factor of p and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 - 183 - (9 + 5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-85) - (-2)\/(-5). Which is bigger: a or -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126839 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 52, 113, 218, 379, 608, 917, 1318?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 0. Let a = 38 - 5. Suppose 5*y + a = -4*t, -t + 8 = y - 3*y. Put f, -5, t in ascending order.\nAnswer: -5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 7 - v**3 + 6 - 62*v + 18 to t + b*v + j*v**3 + q*v**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = 2*q - 0*a, 5*a - 2 = 3*q. Let o be (-1 - q) + 18\/6. Put 4, o, 2 in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -28 + 118 - 29 - 33 - 21 - 6*f. Determine r(18).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaamaabaaaamma. What is prob of sequence bmm?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5.340354.\nAnswer: 21.361416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10789 - 15179.2. Round x to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -116\/424510065 and 61\/18981?\nAnswer: 424510065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 828 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 3. Let n be q(-7). Suppose 79 = -4*x - n*k + 239, 0 = 5*x + 2*k - 188. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2657*j**2 - 881*j**2 + 134*j - 890*j**2 - 887*j**2.\nAnswer: -j**2 + 134*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -26.26002\nAnswer: 26.26002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 20*c - 3245. Suppose -237 = -2*j + c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1059 (c) -4\/3 (d) 1908 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -245385*d + 2453855. Calculate f(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 18. Suppose 6*y - d + 1 = 0. Calculate the remainder when 9 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + 68 - 68 + (2 - 1 + 1)*(-2*l + 4*l - l)*(3 - 6 + 1).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 216, -9, -31952 in increasing order.\nAnswer: -31952, -9, 1, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14111926 a multiple of 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + -3 - (sqrt(325) + 3 - sqrt(13)) - 4*(sqrt(637) + 2*sqrt(637))**2*6.\nAnswer: -137598 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*d = 339*d + 2064. Let x = 1573 + d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 3368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42574*f = -42070*f + 4032 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*k + 2*c + 49, -k = 4*c + 17. Solve 0 = k*g - 4*g + 36*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**3 - 13*r**3 - 14301*r**2 + 14307*r**2 - 3*r**3 + 20*r**3.\nAnswer: 21*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162 - 121) + 215\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 13. Let m be k(-9). Let h be 2*(-4)\/(-32)*m. List the prime factors of (6\/(-4))\/(h\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -6.7, 3 in ascending order.\nAnswer: -6.7, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 986*m**3*r**2 + 31108480*m**3*r + 520*m**2*r**2 + 12*r**2 wrt r.\nAnswer: 1972*m**3 + 1040*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = a + 233, -3*a + 53 - 362 = -4*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 + 6*i + 3. Let s(h) = -3*h**3 - 3*h**2 - 13*h - 7. Let r(w) = 2*s(w) + 5*v(w). What is the units digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 135 - (-43 - -96)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 62. Suppose 0 = s + 4*s + k. Let l be (-2)\/(4\/s*1). Solve -f = -l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 3*u**2 - 2*u + 2. Let b be n(3). Let f = 5 - b. Solve -g + 4*g = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 255.\nAnswer: 73440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 5 + 0*c**4 + 2*c**3 + 0*c**6 + 0*c**2 + 0*c - 1\/7*c**7 + 0*c**5. Find the third derivative of w(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4 - 3 + 2*c**4 - c**4 + 2*c**4 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/18 - 4)\/((-9407)\/(-4908))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2147.85 - 2146.549944. Let r = -1.3 + d. What is r rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = -p + 8031, 2*l = -2*p + 3206. Suppose 0 = i + 5, -3*i + 244 = -4*v + l. Is v 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 22*d + 7*d - 22*d + 45*d**2 - 116 - 50 - 78 + 106*d**3 wrt d?\nAnswer: 636*d + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iizz when four letters picked without replacement from rizzzirr?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 - 174488*q\/5 - 1902878884\/5.\nAnswer: -4*(q + 21811)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329 and 2037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 72000. Suppose -o - 3*o + j = 0. Round o to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*y - 12*y + 25*y**2 + 121*y**2 + 183 + 29*y wrt y.\nAnswer: 292*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5567 + -5539. What is the lowest common multiple of z and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 21. Let l = 95 - 290\/3. Which is the closest to 0.1? (a) -9 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -462631724 divided by -4\nAnswer: 115657931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-40))\/(1\/(-5)). Let k(g) = 5*g - 43. Let r(m) = -3*m + 29. Let t(v) = -5*k(v) - 8*r(v). Let b be t(-20). Solve b*o - i = 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (201*n + 178*n - 193*n)*((0 - 2 + 4)*(-1 + 3 + 0) + (3 - 1 - 1)*(-3 - 4 + 5) + 3 - 3 + 1) as a*n + g and give a.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + 67 + (16 - 9) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:18 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 650 and 494?\nAnswer: 12350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3074*k + 1547*k = -1525*k + s - 29, -3*k - 44 = -2*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 185007321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80427 is divided by 299.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(2)*-1 + sqrt(2) - sqrt(2)))\/(2*sqrt(20)\/sqrt(2)) + (sqrt(180)\/(sqrt(18)\/sqrt(2)))\/((sqrt(60)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 398703, 397551, 396399, 395247, 394095, 392943?\n\"Answer: -1152*b + 399855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 43*x - 645. Solve 0 = -10*r + 5*r - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -21, -44, -85, -150, -245, -376, -549?\n\"Answer: -c**3 - 4*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714564 and 2620068?\nAnswer: 7860204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55870 and 148?\nAnswer: 111740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17429.\nAnswer: 29, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 4)*5)\/((-910)\/385) + -4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/12 + f**3\/2 - f**2 + 1. Let y(a) be the second derivative of r(a). Find the first derivative of y(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -20*o + 1. Suppose -2*j - j - 14 = 5*k, 3*k + 2*j + 9 = 0. Calculate c(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(39\/(13572\/60))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u - 3. Let g be d(7). Let c = 55 - g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2755)\/2280)\/(1\/(-6)))\/(12\/(-48)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t**3 - 1\/160*t**6 + 1 - 3\/2*t**2 + 0*t**4 + 1\/80*t**5 + 0*t. Let a(u) be the second derivative of g(u). Factor a(o).\nAnswer: -3*o**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.331 and -22.\nAnswer: 73.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 5, 0, -103, -5, -1 in decreasing order.\nAnswer: 45, 5, 0, -1, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-16)*6\/(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 1 - 1)*((2 - 3 + 0)*(5*c - 2*c + 0*c) + 2*c - 5*c + 4*c)*(11 - 36 + 15) to the form v + k*c + l*c**2 and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -17 + 77. Let s be (3 - h\/(-7))\/1. What is the second biggest value in -6, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.5 + 14. Let f = -0.5 + 0.8. Sort 3, f, v in descending order.\nAnswer: 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -248866\nAnswer: -1244330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 80. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 987189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(88)*2)\/(sqrt(8) + 1*sqrt(24)\/sqrt(3)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 239904842.5 to the nearest ten thousand.\nAnswer: 239900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -21. Suppose 0 = 3*m + 4*c + 3, -16 = -v*m + 4*c + 11. Solve -w - m = 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132310132 (base 5) to base 9.\nAnswer: 1224874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i**3\/3 + 1316*i**2\/3 + 8696*i\/3 - 153884\/3 = 0. What is i?\nAnswer: -73, -17, 31\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 278 = 181. Let a = x + 171. What is the remainder when 71 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1820*t + 947*t + 911*t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309178*i + 1309178*i + 14*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11212 - -11216. Let u = 0.7 + -0.4. What is the closest to 0 in -0.27, u, n?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*t - 0*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14871 and 6?\nAnswer: 29742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 843. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(52\/(-325)*5))\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 123*g + 1054. Give n(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62423718 divided by -6?\nAnswer: 10403953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 7*b**2 - 4*b - 3. Let g be a(6). Suppose 0 = -3*c + 4*y - 10, -3*y + 7 + g = 2*c. Differentiate -f**2 - 9*f**2 + 7 - c wrt f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -698291a?\nAnswer: 6982919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 9) to base 12\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*b - 5)*(149 - 3462 + 584 + 14 - 3148).\nAnswer: -23452*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023213 (base 5) to base 15.\nAnswer: -51dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583287 (base 11) in base 8?\nAnswer: 3421771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 738\/144 + (399\/(-56) - -7). Solve 4*u + 3*r - 2 = -0*u, h*u = -5*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 + 0 = 0, 0 = -g - 5*h + 55. Let m(z) = -z**3 - 2*z**2 - 2*z - 2. What is the remainder when g - (4 - (-3)\/(-3)) is divided by m(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498 - 3*h**2 - 81 - 259 + 4*h.\nAnswer: -3*h**2 + 4*h + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121110302 + -2?\nAnswer: 121110300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - 5*a**2 - a + 4196. Let n(f) = -f**3 + 160*f - 1 - f**2 + 0*f**3 - 160*f. Let b(p) = -5*n(p) + u(p). Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b127 (base 12) in base 16?\nAnswer: 230ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 6*y - 2. Let a be p(-7). Find the second derivative of -5*c**5 - 14*c**a - 20*c - 6*c**3 + 21*c**5 wrt c.\nAnswer: 40*c**3 - 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41695 * 2\nAnswer: -83390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*c - 8 - 4 = 6, 12*c = -84 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/129 and (-11893)\/(-2184) + 22\/(-143).\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from nvuxnx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (16 - (-32 + 28))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -26. Let t be 4\/(-3) - 364\/s. Let d = 29 - t. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -492*w**2 + 493*w**2 + 45*w - 6*w + (-4*w - 9*w + 7*w)*(0*w - 4*w + 3*w).\nAnswer: 7*w**2 + 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3422.588335 + 3397.189. Let g = k - -25.4. What is g rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*u = 259*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = -0*a, d - 11 = -3*a. Let t = -2.1541 - -34.1541. What is the closest to -0.1 in d, 3, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 100330?\nAnswer: -100335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3920 + 4089. What is the remainder when 3040 is divided by w?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 927, 3707, 8339, 14823, 23159?\n\"Answer: 926*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 less than 4.3?\nAnswer: -166.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2. Let v(l) = 11*l**2 + 8*l + 4. Let h(c) = c**2 + 2*c + 1. Let d(g) = 4*h(g) - v(g). Give d(x(k)).\nAnswer: -567*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 55706\/5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose f + k*f = 2*d + 13, 2*f = 6. Suppose 4*r + l + 3 = -9, -r + l = -2. Which is the biggest value? (a) r (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5*i - 3 + 7*i + 2*i**2)*((0*i - i - i)*(3*i - 4*i + 2*i) - i**2 - 7*i**2 + i**2) to the form j*i**2 + h*i**4 + v + u*i**3 + f*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33110726 a multiple of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 15?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from {t: 2, q: 1, y: 1, k: 1, a: 1, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*63\/(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**7\/420 - 3*n**6\/20 - 7*n**5\/24 + 548*n**2. Factor q(u).\nAnswer: -u**2*(u + 1)*(u + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 1. Let p(y) = 1. Calculate 6*p(w) - 2*t(w).\nAnswer: -4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6787750.\nAnswer: 2, 5, 19, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 + 2566*u**2 + 50720*u + 252600 = 0. Calculate u.\nAnswer: -1263, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.7 + 31. Let z be ((-50)\/12)\/5 + 1. Which is the nearest to -3? (a) 4 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 19c1?\nAnswer: -19bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 + 2 = 0. Let w be (-1)\/(-3)*(g + 32). Let p be 2\/w - 5\/25. Which is bigger: -2\/49 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35168 (base 15) in base 6?\nAnswer: 3342425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22621891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 6*z + 2*z)*(29*z**2 + z**3 - 1439 + 1439).\nAnswer: -2*z**4 - 58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 26 - 0\/2. Let s = h - -41. Let r be 112\/s - (-4)\/(-18). Solve r = -2*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 90.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1182.8 + -1180.8. Which is the nearest to -0.2? (a) 0.15 (b) -2 (c) u (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31786, 31796, 31806, 31816, 31826, 31836?\nAnswer: 31846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 6*l**2 - 7*l - 1. Let c be p(3). Solve -c*d = -q - 18, -q - 10 = -6*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3\/7, 2, 5.53, 3.\nAnswer: -3\/7, -0.2, 2, 3, 5.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7774 = -11*y + 5965. Suppose w - y = -0*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/51, 5, 4\/9, -166, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/3025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 7*v**3 + 36*v**2 - 36*v**2.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.2039 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 6*p. Suppose 1 = -p*n - 2*n + d, 4 = -n + 4*d. Suppose n*b + 3*b = 4683. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**4 + 9*i**3 - 27*i**2 + 15*i = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*q - 16, 3*t + 10 = t + 2*q. Which is the smallest value? (a) 5 (b) t (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**48\/(a**0)**(-4\/7) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 65 (c) 1.8 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5135)\/(-260) + -4 + (-1 - 11))\/((-6)\/(-136)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = w + 4*o - 24, o = 5*w - 28. Let n be 5 + ((-52)\/44 - w\/(-33)). Solve -3*m - n*m = 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15012 * 20.\nAnswer: -300240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - 11. Let u be -2 + j\/(3 + -4). Let s = 209 - u. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 0.08 (c) -5235 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -206, -256, -304, -350, -394, -436, -476?\n\"Answer: w**2 - 53*w - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (168\/(-10))\/(14\/70). Let l = -36 - v. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - 55. Suppose 3*u - 5*u = 26. Let g = b - u. Put 3, 1, g in descending order.\nAnswer: 3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 1. Let d be i(-1). What is the second derivative of d*q - 16 + 16 - 2*q**4 wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132.7 + -133. Which is the third biggest value? (a) -12 (b) -5\/3 (c) 0.1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let d = -0.146 + 0.076. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 - 15 = 4*o, 0 = -v - 5*o + 12. Let s = -137644 - -137656. Solve s*m - v*m = 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667, 1243, 1837, 2449?\nAnswer: 3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 17 + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -10*o + 73 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Let d(r) = -3*r + 3*r + p + r - 3*r. What is d(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = 4*z, 0 = 5*z - d - 0 - 5. Find the first derivative of -z - 2*u - 2 + 6*u + 5 wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - x - 12. Let u be h(3). Suppose 0*j + 2*j = -u*c + 1022, -1571 = -3*j + 5*c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -3, 7, 72, -2, 1 in increasing order.\nAnswer: -3, -2, 1, 7, 72, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101010110 (base 2) to base 9.\nAnswer: -6071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*m + 29*m + 19*m)*(-2 + 35 - 3 + 4) to b + w*m and give w.\nAnswer: 3536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 32\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1607.4 (b) 2\/27 (c) -6\/7 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -19, 391?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.6 - -16.6. What is the nearest to 2\/11 in 5, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - s - 13. Let y(w) = w**2 - w + 12. Let j(p) = 3*b(p) + 4*y(p). Let o be j(6). Calculate the highest common divisor of o and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*g = -5, -5*s - 31 = -4*g + 7*g. Let d be (-13)\/26*(-1 + s). What is the nearest to -0.1 in -0.2, -2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 2*d - 244. Suppose 29*h - d = 21*h. Calculate the remainder when 159 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*x = 72, -o + 3*o = -x + 36. Let i = 19 - o. Solve 5*y - y = -4*l + 28, -25 = -4*y - i*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*l**3 + 56*l**3 + 73*l**3 + 3*l**2 + 0*l**2 + 45*l**3 as s*l + h*l**3 + f*l**2 + n and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-6)\/9) + (22 - (-12140)\/(-620)). Suppose 5*m - 4*j - 12 = 0, 5 = -2*m - 4*j - 7. Is y >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2829*k - 2844*k - 110*k**3 + 5673*k)*((3 - 3 + 1)*(2 + 5 - 3) - 2 - 1 + 2) to j + t*k + c*k**2 + m*k**3 and give m.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(8 + (63\/7 + -10 - 21\/(-126))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -79.5. Let y = 25 - 25. Let j = y + -2\/3. Which is the third biggest value? (a) n (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-4)*(-7 - -8). Suppose 0 = o*h + 2*k - 394, 0*h - 135 = -h + 3*k. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 15. Suppose -2*i + 4*b = -182, i - 2*i = 5*b - 70. Let l = 109 - i. Calculate the remainder when 33 is divided by z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from arraazrrzaaaarazaarz?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g + 87*g**2 - 2*g**3 - 44*g**2 - 49*g**2 + 750.\nAnswer: -2*g**3 - 6*g**2 - 19*g + 750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -18*r + 588 - 640. What is the third biggest value in -5, -25, 4, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12552694589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 5*d. Let h be (0\/(d\/1))\/(-3). Factor -2\/5*b**3 + h*b - 8\/5 + 6\/5*b**2.\nAnswer: -2*(b - 2)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -31*c. Let p(n) = 32*n**2 - 4. Calculate w(p(f)).\nAnswer: -992*f**2 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/60 + 5*k**4\/8 - 2*k**3 + 2*k**2 - 563*k. Determine q(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 86 + 66. What is the remainder when 302 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68969477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.1. Let c = -0.2 + 0.2. Let z = 1 - 0.5. Sort c, u, z.\nAnswer: c, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800))**2 + sqrt(2) - sqrt(6)\/(sqrt(3)*1).\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 27484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(0*d - 3*d + 7*d) + 0*d - d + 3*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z + 4023*z**3 + 12*z - 4995*z**3 + 973*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7598202 hours?\nAnswer: 2735.35272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3\/5, 0.1, -40, -15 in descending order.\nAnswer: 3\/5, 0.1, -1\/2, -15, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 79*r**2 + 2701*r + 3067. What is j(105)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37425 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100100010 (base 2) to base 11.\nAnswer: 94a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 144*v + 112. Calculate s(-26).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**24\/((c*c*c**(-27\/2))\/c*c))\/(c\/c**(-4\/3))**(-1\/14) assuming c is positive.\nAnswer: c**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -4, -0.3, 1\/4, 1, 140, 2.\nAnswer: -4, -0.3, 1\/4, 1, 2, 32, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*p - 1394 = -2*w + 661*p, -p = 2*w - 1398. What is the highest common factor of w and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -26*g + 41. List the prime factors of z(-14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66199, 66337, 66475, 66613, 66751, 66889?\n\"Answer: 138*z + 66061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((1 - 359\/362)\/((-231)\/(-462))). Solve s*u = 199*u - 72 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h + 12. Solve -v - a = 1, -h*a = v + v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u - 2690*u + 109242 = 0 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 33*d**2 + 183*d - 1082. Determine n(-17).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3115266567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-52))\/(-2 + 5\/2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 957680 and 480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19453\/(-1191) - -16*1 - 610\/15.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3. Determine v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47333 and 637867?\nAnswer: 685200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 9*j - 22. Let a be f(-10). Let s be (2\/1)\/(-4)*a. List the prime factors of 30\/(-1 - (-15)\/s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -300*l**2 - 14*l - 43. Let j(u) = -200*u**2 - 9*u - 26. Give 8*j(m) - 5*x(m).\nAnswer: -100*m**2 - 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2984829588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*i + 99*i - 64*i - 137*i.\nAnswer: -287*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - 1392\/24)*((-1)\/3 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahah when four letters picked without replacement from atmtamtmtmtltxh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211021210011011 + 12?\nAnswer: 22211021210011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1331984310*r - 132199213.\nAnswer: 1331984310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 18*t**3 - 3*t**2 + 3*t + 12. Let b(d) = -37*d**3 + 5*d**2 - 5*d - 23. Let k(q) = -3*b(q) - 5*g(q). Differentiate k(n) wrt n.\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -32\/9 (c) 5 (d) 2\/13 (e) -2 (f) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/18)\/((-2)\/(-78)). Let z = 9 - l. Let u(o) = -o**2 - 6*o - 3. What are the prime factors of u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4725299 is divided by 917?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 + 14. Suppose -r = -q + 17. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + d)*(50 - 20 - 3).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2.6 (c) -1.74 (d) 0.0451 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 12*f + 11. Let m be x(11). Let t(s) = s - 4*s + 4*s + m*s. Let g(o) = 9*o**2 + 7*o**2 - 3*o**2. Determine g(t(q)).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5346 - 5342. Solve 5*f - 35 = k*v + 5, -4*v - 3*f = 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 251 in 2\/67, -3\/8, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 189569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - 10. Suppose -8 + 0 = q*t. Let x = -0.3 + 1.3. What is the closest to x in -0.3, t, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1407451*h + 1 + 1407370*h - 1.\nAnswer: -81*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 296\/28 + 16\/(-28). Suppose v - 22 = 2*g. Is (7042\/(-84))\/(1\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:50 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 17224 = -0*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1774*a + 371. Is z(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22570, 45247, 67924, 90601?\nAnswer: 113278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 + 271360640*o + 271360645 = 0.\nAnswer: -1, 54272129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4142414 + -20?\nAnswer: -4142434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008416979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -66 + 26. Let o(q) = -12*q**2 + 0 - 8*q - 1 + v*q. Suppose 0 = 2*l - 4 + 2. What is o(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49718 + j + 49718.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6920*t. Let x(k) = -3*k - 5. Let z be x(0). Let b be c(z). Round b to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + 6 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24757033 a multiple of 1567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwtlwglwccoc. Give prob of picking 1 l, 1 g, and 1 o.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*n - 2*j + 23, -2*n + 3*j - 7 = 0. Let q be 6\/(-8) - (0 - 1). Let p be (-3)\/6*(-20)\/65. What is the nearest to p in q, n, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0559 and 75.\nAnswer: 79.1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/3*((-1560)\/16)\/(-13). Let s = t - -691. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3568\/17 + 210. What is the biggest value in h, -7\/2, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:29 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/3 - 6*r**4 + 92*r**3 + 1588*r**2\/3 + 762*r + 330 = 0. Calculate r.\nAnswer: -15, -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -410, -1637, -3682, -6545, -10226?\n\"Answer: -409*y**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(75\/(-54)))\/(6\/20). Suppose 3*s + 4*k - f = 0, -4*k = -2*s + s + 4. Solve -4*r = -4*d + 24, s*r - 7 = -4*d + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/a*a)**(-4)\/(a\/(a\/a**(-4)*a))**(-39))**37 assuming a is positive.\nAnswer: a**(-7807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9096 + 9514. What is the lowest common multiple of u and 1881?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816.904ug in tonnes?\nAnswer: 0.000000003816904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010014 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 781355\nAnswer: -1\/156271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3551.5142 * 0.3\nAnswer: -1065.45426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 5)*(2*n**2 - 3*n + 3*n) + 18*n**2 - 35*n**2 - 41*n**2)*(2*n - 2*n + 2*n**2) to the form y + a*n**3 + x*n**4 + p*n**2 + l*n and give x.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-92) - (1\/(-4))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-960)\/9)\/(((-3)\/(-74))\/(36\/(-16)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17003948?\nAnswer: 2, 13, 326999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5\/4 (b) -10300 (c) 3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.019 - -0.219. Which is the smallest value? (a) -12 (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:33 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 3.4. Let w = -635.2 - -635. Which is the second biggest value? (a) -2 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37ccb (base 15) in base 9?\nAnswer: -301632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/126)\/(2\/(-14)) + 13. Suppose 19*n = m*n + 225. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 544600.2 minutes?\nAnswer: 32676012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/12*((-80)\/(-24))\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*v - 20, 2*z - v - 4 = z. Suppose -2 = 10*h - 22. Sort z, 1, -34, h in increasing order.\nAnswer: -34, 1, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 7*w - 2*w - 12, 62 = 3*a + 2*w. Suppose -a*q + 1142 = -20*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**2 + 82*t + 5. Let x(p) = -14*p**2 + 167*p + 7. Determine 5*c(w) - 3*x(w).\nAnswer: 2*w**2 - 91*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-20) - (-1)\/4. Suppose -9*d + 6*d + 12 = u. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 1. Let r(l) = l. Let n(f) be the first derivative of -5*f**2\/2 - 31*f - 8. Let c be n(-6). Calculate c*a(j) + r(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 + -697. Let l = z - -857. Let m = l + -316.99058. Round m to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(-4) + (-18)\/72. Which is the smallest value? (a) s (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.19 (b) 21 (c) 0.2 (d) -4 (e) 9.5 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*h - 6965 + 18197 = 0 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41237 less than 288650\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**2 - 7*l - 21. Let i be c(-4). Let z(a) = -a**2 - a + 80. Let h be z(0). Let n = i - h. What is the highest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, -4, -2, -10.\nAnswer: -305, -10, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1573\/7 + 217. Let m = -70 + 76. Find the common denominator of (-519)\/120 + (m\/4)\/1 and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let x(y) = -10*y**2 - 7. Let u(p) = -10*p**2 - 6. Let m(k) = -7*u(k) + 6*x(k). Calculate f(m(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 51*z - 1. Let w(h) = -102*h + 5. Let m(a) = -9*o(a) - 4*w(a). List the prime factors of m(-7).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 3202645?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*i - 4 = 0, -2*n - 4*i + 3 = 25. Let m be 6\/(-12) + 6\/4. Sort m, n, 12 in descending order.\nAnswer: 12, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121222 + -10202?\nAnswer: 111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*q**5 + q + 19 + 19 - 8 wrt q.\nAnswer: 1140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -3\/5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 - 20*s - 22. Let a(i) = -7*i**2 - 19*i - 21. Let y(g) = 5*a(g) - 6*j(g). Let r be y(-24). Solve 5 = -r*v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 - -18 - 6\/(-6). Let -8\/9*d**n + 2\/9 + 2\/3*d = 0. What is d?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 + 508*o**3 - 30698*o**2 - 198120*o - 304200 = 0 for o.\nAnswer: -3, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Suppose -2*q + 10 = 3*q. Let j = q - 2. Solve -o*x + 8 = 2*l, -x + j + 1 = l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 11. Let f(u) = 279*u. Calculate f(n(r)).\nAnswer: 558*r**2 - 3069","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59851887911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1444, 1, -35.0824 in ascending order.\nAnswer: -1444, -35.0824, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180534524?\nAnswer: 2, 45133631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 12 + 25*o - 26*o to the form q + n*o and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 - 48865*x**2 + 1758816*x - 15828372.\nAnswer: (x - 146559)*(x - 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 + 7*x + 6. Suppose -12 - 18 = 4*u - 3*c, 5*c = -3*u - 8. Let n be a(u). Let j(w) = -w**3 + w**2 + 8. What is the units digit of j(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgjzdwgvj. Give prob of sequence jdw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*p - 4*r, -16*r + 15 = p - 0*r - 12*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.06, 3, -0.8 in increasing order.\nAnswer: -0.8, -0.06, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 5. Let g be (-228)\/(-14) + 2\/(-7). Let d(c) = -10*c - 16. Let z(l) = g*i(l) - 5*d(l). Let v(o) = 3 - o + 4*o - 6 + 3. Give z(v(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794831609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4301 - -0.4564. Round f to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13 + 23 - 36 + 3*c**5 - 3*c wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*1 + (sqrt(729) - (sqrt(729) + (sqrt(729) - sqrt(729)*-2) + sqrt(729))))\/(sqrt(36)\/(sqrt(72)\/sqrt(6)) + -2*sqrt(108)).\nAnswer: 34*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -35*(48\/(-20))\/6. Solve -a = j + 4*b, -2*j + 4*b + 12 = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*g**4 - 178*g**4 - 108*g**3 - 102*g + 20*g**4 - 207*g**2.\nAnswer: -3*g*(g + 1)**2*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.067064 to four dps.\nAnswer: -0.0671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128\/3 - 616\/3*r + 106\/3*r**3 + 130*r**2 - 8\/3*r**4 = 0.\nAnswer: -4, 1\/4, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.72, 1, -1 in increasing order.\nAnswer: -15.72, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 - -13.8. Let f = 11605.4 - 11594. Let k = x - f. Put 5, 4, -24, k in ascending order.\nAnswer: -24, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 852, 871, 918, 1005, 1144, 1347, 1626, 1993?\n\"Answer: 2*x**3 + 2*x**2 - x + 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (989\/86)\/((-8)\/(-48)) - 24?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*y + y. Let s be ((-18)\/15)\/((-12)\/y). Let p(g) = -g + 4. Let m be p(0). Let l(u) = u**2 + u. Let a(w) = -w**2 - w. Determine m*a(v) + s*l(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1779, -4190, -7971, -13128, -19667, -27594, -36915, -47636?\nAnswer: -59763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2279371110 rounded to the nearest one hundred thousand?\nAnswer: -2279400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3106771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 12*c. Let q be m(12). Suppose 3*s + q*s - 144 = 0. Suppose 0 = -g + 3*d - 6, 14 + 0 = 3*g - d. What is the highest common factor of g and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y + 1. Let n be g(1). Suppose 0 = 3*p - n*p + 85. Let k(h) = 13*h + 6. Let u be k(10). Calculate the highest common factor of p and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d + 189*d**2 - 11*d + 16*d as b*d**2 + w + x*d and give b.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3535 + 3564. What is the second smallest value in l, -2.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*x + 1, 3*w + 0*x + x + 3 = 0. Sort -6, w, 0.\nAnswer: -6, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 2*f + 2. Let o(b) = b**2. Let y = 20 + -14. Let x = -516 + 509. Let r = y + x. Calculate r*l(j) + 6*o(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -438862*f**3 + 6*f**2 + 5*f + 75. Let w be k(-7). Round w to the nearest 1000000.\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 1\/84*s**4 + 0 + 0*s**3 + 0*s - 1\/84*s**5 - 1\/120*s**6 - 2*s**2. Let k(u) = 0. Calculate u.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*c - 54 = -c, -5*t + 150 = 5*c. Calculate the least common multiple of t and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625202 at most as big as 625180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 16*m - 2. Calculate j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3 + 38*c + 0 - 39*c. Let n be k(-11). Suppose -n = -2*h - 6, -4*h = -b + 13. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3698*d**4\/15 - 1376*d**3\/3 - 2684*d**2\/15 + 32*d - 6\/5.\nAnswer: -2*(d + 1)**2*(43*d - 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506991637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:32 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620847 a multiple of 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k + 1. Suppose 2*x - 8 + 4 = 0. Suppose -x*m - 2 = -10. What are the prime factors of r(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5376314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-168))\/(-3*1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**2 + 9*r + 14. Determine c(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 8. Let w(g) = g + 16. Determine -5*f(x) + 3*w(x).\nAnswer: -2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 22*c + 47. Let h be w(2). Is ((h - 18\/3) + 0)*-29 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21467*w**2 + 10732*w**2 + 10732*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36550850213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1404599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(6)\/sqrt(2) + sqrt(3))**2 + (sqrt(864) + 2*sqrt(864) + sqrt(864))\/sqrt(2).\nAnswer: 21 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-6 - 15) - (9 + 21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 24, -5, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-905)\/(-10))\/((1\/(-44))\/(-1)). Suppose 5*b = 1723 + o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2040 and 33\/320?\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 65, 122, 201, 302?\n\"Answer: 11*r**2 + 2*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k + 17*k - 47*k - k**3 - 115*k - 23*k to the form t*k**2 + b + d*k + z*k**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i**2 + 5 - 5)*(-66 - 145 - 114)*(i - 3*i - i)*(2 - 3 - 2 - 1) to o + r*i**3 + m*i + t*i**2 and give r.\nAnswer: -23400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 + 19042*y**2\/3 + 152240*y + 913248.\nAnswer: 2*(y + 12)**2*(y + 28539)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9377.9 - 9378. Which is greater: i or 34.93?\nAnswer: 34.93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 4*c - 4. Suppose -4*d = 3*j + 5, -2*d - 3*j - 6 = d. Let p = d + -6. What is the units digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20064 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 14*t**2 - 2*t + 12. Is m(6) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8043 and 4213?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 326537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-300))\/(8\/(-1340)) and -1 + (-3)\/(162\/91)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 52. Let y be (4\/(-3))\/(4\/j). Let m = y + 11. Let u(p) = p - 1. Calculate u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*9\/(45\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 3*d + 10, 5*u = 5*d + 20. Let v(q) = -q + 4. What is the remainder when 37 + d + -1 + -2 is divided by v(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -127*w**2 - 11*w - 1. Let t be s(-2). Let y = -199 - t. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-19))\/(784\/14896).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6105, -25586, -58421, -104610, -164153, -237050, -323301?\nAnswer: -422906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169455640 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.306 - -0.194. Which is the closest to -4\/7? (a) 2\/9 (b) 5 (c) p (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ull when three letters picked without replacement from llllllllllllllulll?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1141247 (base 8) to base 3\nAnswer: 120211221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33299 less than 33299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.5 (b) 27\/10 (c) 3\/1663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15830 and 280.\nAnswer: 443240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43494 - -14690?\nAnswer: 58074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, -104.\nAnswer: -104, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 3. What is m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 7. Let i = 8 + q. Let w = -0.0327 - -0.3327. Which is the nearest to i? (a) 2\/3 (b) -2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 2341\/5 + -468. Is m <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(27)\/(sqrt(99)\/(sqrt(11) + sqrt(44)\/sqrt(4))))**2*-3*-6.\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 31510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6 - 6. What is the greatest common divisor of o and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 2*f + 4*f + 6 = 0. Solve 5*o - 33 = 4*w, 21 = -6*o + 9*o - f*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -352*l**3 - 36 + 372 + 1364*l**2 - 1416*l - 20*l**4 - 1785*l - 1642*l + 3515*l = 0. Calculate l.\nAnswer: -21, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 20*v - 44. Determine c(20).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = h - 356, 4*h - 192 = 2*r - 3*r. Calculate the greatest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4096)*-32 + 46\/32\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/370 and -61\/962.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2185)\/(-46)*(-22)\/90 + 552\/(-621).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/12 + 41*x**3\/6 + 106*x**2 - 137*x + 7. Give u(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5805658 is divided by 1380.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + n - 1 = 0, -2*n + 0*n = -8. Suppose -2*w + 1155 = -q*x - 140, 4*x + 1730 = 2*w. Calculate the remainder when 61 is divided by x\/(-20) - 6\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*x**3 + 1633*x**2 + 916827*x wrt x.\nAnswer: -108*x + 3266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320851233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 2*d + 4. Let u(a) = -2*a**2 + 1. Give -n(t) + 5*u(t).\nAnswer: -15*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/38, -16, 2\/5 in increasing order.\nAnswer: -16, 1\/38, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) + 21\/(-6). Let h = -0.02 + -0.28. Let g = 0.8 + h. Put k, g, -4 in increasing order.\nAnswer: -4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:54 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*(-403399)\/(-9839).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, j: 7, o: 2, g: 1, p: 3}. Give prob of picking 1 g and 1 j.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 10*k. Suppose 5*z - g - 142 = 55, -3*z + 111 = -3*g. Let n(d) = -23*d**2 + z*d**2 - 16*d**2. Determine n(u(p)).\nAnswer: 4*p**4 - 40*p**3 + 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151407*n**3 - 75814*n**3 - 75595*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 87 = -4*y - 40*j - 25, 5*j = 5*y - 70 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 6*t**2 - 3*t + 4. Let i be u(5). What is the greatest common divisor of 6 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.97 from -95789.\nAnswer: -95783.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12238 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/60 - 75*u**2 - u. Let f(q) = -909*q. Give a(f(n)).\nAnswer: 826281*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -431 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 74 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/(-25))\/4)\/15.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsclywsljsjlywyccwjs. What is prob of sequence wl?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**2 + 17\/3*x**3 + 4 + 5*x. Let t(s) = 3*s. Give t(d(j)).\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41a186 - 6?\nAnswer: -41a191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.6. Let l = -1 - i. Which is the closest to 1? (a) 2\/5 (b) l (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3185\/6 (b) 181 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3260.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-36) - (6 + (-2 - (-260)\/(-22)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/17 (c) 2 (d) -1\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 11*w. Let i(s) = -s**2 + s. Let x(b) = -7*b**2 + 10*b. Let z(p) = -5*i(p) + x(p). What is 6*h(d) - 13*z(d)?\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0) + (-64)\/(-2). Suppose 8*w + q = 13*w. Calculate the remainder when 15 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2890, -3041, -3190, -3337, -3482, -3625, -3766?\n\"Answer: f**2 - 154*f - 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(6\/5)*o*o\/(o*o**8\/o*o*o))\/(o\/(o*(o*o**(-1\/13))\/o*o)*o*o**(1\/32)*o))**(-23) assuming o is positive.\nAnswer: o**(445303\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -62. Let c(a) = a**2 - 15*a - 5. Let k be c(o). Put -3, 33, k, -1 in decreasing order.\nAnswer: 33, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 minus 67086.3055?\nAnswer: -66805.3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l - 4. Let v be s(-2). Suppose -o - 4 + v = 0. What is the least common multiple of 50 and o?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131261\/709830 + -7\/26290. Let t = 962\/3 - 324. What is the common denominator of q and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 + 105*b**4 - 1423*b**3 - 345*b**2 + 23024*b - 21360 = 0?\nAnswer: -4, 1, 4, 15, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -1 + (-6 - -5) - -12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1252774 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -6926 = -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 202, 327, 490, 703?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 68203 + 703 = 0. Let m = k + 43179\/16. Let u = 3210\/7 - 57493\/126. What is the common denominator of m and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32067\/(-7) + 0 + -3. Round w to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -9. Let y(j) = -j**2 + 11*j + 39 - 70 + r. Is y(9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1202 - (8 - 4)) + (-10 - -14). Let z = -165 - u. Is z a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r + 247. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*a - 5 = -164*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 19*n - 13. Let d(h) = -h. Let z(w) = -c(w) - 3*d(w). Let s be z(6). Let k(x) = 2*x + 4. Calculate k(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -6) + 1*-2. Suppose -4*s - 12 = -h, -6*h = -9*h - 3*s + 21. Suppose j = h*x - 3 - 277. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619*y + 2617*y + 2619*y - 10448*y + 2607*y - 51*y**2.\nAnswer: -51*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 5*d = -9*k - d - 5*d - 11, -2*d - 12 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -138, 0, -4237, -5 in increasing order.\nAnswer: -4237, -138, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 47 - n**2 + 4*n**2 + 6*n**2 - 33*n + 25*n - 3*n**2. What are the prime factors of k(-9)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.2. Let b = -205 + 51. Let x = b - -153. What is the nearest to c in 4, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81230.6 days in milliseconds?\nAnswer: 7018323840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 356, 538, 734, 950, 1192, 1466, 1778?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*n - 2381*n + 6653*n + 2528*n + 4274*n in the form j + g*n and give g.\nAnswer: 11180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6777.479 microseconds?\nAnswer: 6.777479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.98 + -0.08.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 206388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 11 = b + 4*j, 3*b - 5*j = -8. Suppose -b*y = -38 + 2. Which is smaller: 7 or y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 112488670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1593.755 - 1600. Let l = b + 0.245. Suppose -d - 4 = 3*d. Sort l, d, 2 in increasing order.\nAnswer: l, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14082 equal to -14083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/6 - 1802*b. Let m(w) = 295*w - 19. Determine m(t(y)).\nAnswer: -295*y - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.44239 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -325\nAnswer: -3\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {f: 4, h: 2, q: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*u - 13 = 0, 9*x + 0*u + 27 = -4*u + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*5\/(90\/(-4)))\/(131\/2751).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 + 624. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 49540.3.\nAnswer: 49540.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -967610, -967472, -967334?\nAnswer: -967196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6823 is divided by 1018.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 96054 = 213067 + 24527. Does 68 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - 2. Calculate y(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 352 = -10*w. Let z = 123 - w. What are the prime factors of z?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(450) - 2*sqrt(450)) + sqrt(450))*1*3)\/(3*(sqrt(160) - (sqrt(160) + (-1*sqrt(160) - sqrt(160) - sqrt(160)) + sqrt(160))*-5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4145 + 5946. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) + ((-2548)\/(-2128) - (-21)\/(-14))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 - (-45 - (-67 - 81)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxkgzezzke. What is prob of picking 1 z, 1 g, and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*p - 2, -4*o + 15 = p. Is (o - -27) + (0 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 + 137 - 137. Let y(k) be the third derivative of 2*k**2 + 0*k**4 + 0*k**3 + 0*k + 0 + 1\/30*k**5. Calculate y(s(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k + 3*k + 2*k - 28 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 12\/(-4) - -1. Suppose p*k = 4*k + 992000. What is k rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(1456\/(-1120)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9*c = -1140. Let l = 98 + c. Solve 10 = -5*n + l*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3) + 7 + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.199 + 0.301. Which is the third biggest value? (a) 1\/7 (b) f (c) 2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109 + (-98425)\/620 - 3\/(-4)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = p - 15358, -10*p + 15*p = -4*h + 76769. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 21. Let m(c) = -22*c + 90. Let z be m(4). Let r(b) = -b**2 - 4. Calculate z*v(u) - 11*r(u).\nAnswer: 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5280 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-18)*6*(-15)\/(-5). Which is the fourth smallest value? (a) j (b) 2 (c) 2008 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 61, 47, 29, 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 2*d**4\/3 - 41*d**2 + 1751*d. Let b(h) = -3*h**2. Give b(y(m)).\nAnswer: -192*m**4 + 3936*m**2 - 20172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1802524 at most as big as -1802524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6184 + v**2 - 2*v**2 + 39*v - 38*v - 6183. Let n(l) = -22*l**2 + 33*l + 33. Calculate -165*m(o) + 5*n(o).\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179651 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1 + 2 + 3 - 5 + 9*x**3. What are the prime factors of s(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 + 2*p**4)*(12 + 5 - 4).\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*t - 6. Let x be t\/8*-2*4. Solve -7 = -s - x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -417293*w + 10432309. Give r(25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -8\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:51 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -94239 divided by 283?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2\/5))*i\/i**(-11\/4))\/((i*i**33)\/((i\/i**2*i)\/i)) assuming i is positive.\nAnswer: i**(-617\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Let r(j) = -j**3 + 7*j + m*j + 11*j + 5*j**2 - 3 - 25*j. Calculate r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f**2 - 28*f**2 + 7*f + 54*f**2 - 4*f to r*f**2 + l + m*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13716 in 0.4, -2\/9, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 - 12*l - 47. Let t be x(-10). Let f(b) = -t*b + 41*b - 7*b**3 - 8*b**3 + 33*b. Calculate f(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 4*p**3 - 4*p**3 - 2*p**3 - p + p + (p**2 - 3*p**2 + 4*p**2)*(0*p - 5*p + 3*p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4923861*i**3 - 11800690*i**2.\nAnswer: 29543166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 + 5*m**2)*(905 - 1570 + 1325) + 0*m + 0*m - 2*m**2 + (-m + 1 - 1)*(2 + m - 2).\nAnswer: -663*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 3*y**5\/20 + y**4\/24 + y**3\/6 - 7*y**2. Does 35 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/11 - 108*h**3\/11 - 1512*h**2\/11 - 2708*h\/11 - 1302\/11 = 0. What is h?\nAnswer: -31, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 40. Suppose -49 = -5*j - 2*a, 0 = -5*j - 5*a + c + 47. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 4\/46213 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -130?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19791 + 19790 - 9*t - 39581.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 484 + 180 = 0. Calculate the remainder when 59 is divided by (15\/12)\/(2\/m*1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3924 and 2575779.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 8, d: 2, y: 4, e: 2, z: 1}. Give prob of picking 1 z and 1 e.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.5, 1\/9, -2\/49, -97?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -35*g**3 - g**2 + 10*g + 32. Is v(-3) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -292610000 to the nearest one million.\nAnswer: -293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 40. Solve -4*q = -n - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2*r**5\/5 + 2*r**4 + 10*r**3\/3 + 2*r**2 + 3. Factor m(h).\nAnswer: 2*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68\/(-14)*(-4340)\/155. Are h and 123 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19988611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -73723\nAnswer: 1\/73723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 q when four letters picked without replacement from qqqiqqiqiqqqqqqqiqqi.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**3*v**2 - 2*g**3 - g**2*n*v - 8718*g**2*n - 3*g**2*v + g**2 - 767387*n*v**2 + 3*v wrt v?\nAnswer: -8*g**3 - 1534774*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*b + 3*b + 2*i, b - i = -13. What is the units digit of ((-208)\/6)\/(b\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20065, 160491, 541645, 1283893, 2507601, 4333135, 6880861, 10271145?\n\"Answer: 20061*i**3 - 2*i**2 + 5*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/120 - z**5\/12 - z**4\/24 + 7*z**3\/6 + z**2 + 60. Give c(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-48)\/(-4) - -2. Let b(c) = -3*c**2 + 6*c + 5*c**2 - 3*c**2. Let q be b(6). Solve -k + 4*z - 20 = q, 3*z = 4*k + 4 + r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 12*u**2 + 3*u - 16. Let g be y(12). Suppose 5*o = -10, -4*t - 6*o = -3*o - 2. Solve -d - t*w = w - 12, 5*w - g = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*l**2 + 19*l + 1.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.473 + -3.64. Let k = x - 3.833. What is the second smallest value in k, 0.2, -0.4, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*3 + -1.\nAnswer: -1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 28 = 0, -6*q = -q - 4*y + 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Determine y so that -y**w + 5*y + 0*y**3 + y**4 - y - y**2 - 3*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823270.\nAnswer: 2, 3, 5, 94109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 5*k**4\/2 - 7*k**2 + 4*k - 2. Suppose 10*r + 3*r = -182. Let m(f) = 2*f**3 - 3*f + 1. Determine r*m(a) + 3*g(a).\nAnswer: 2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*r - 464 + 446 = 6*d, -r = -4*d + 18 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3*3*(-440)\/(-176)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.01, -0.3, 1\/3, -9859, 6, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1d54e (base 15) to base 16\nAnswer: -175d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -16 - 11. Let f = l + -3. Suppose 5*u = -9 - f. What is the closest to u in 1\/4, 1\/8, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 10:46 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 - 5 = -151*q + 138*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6328693 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h + 100. Let i be n(-5). Suppose 6*m = -i*m + 702. What is the highest common divisor of m and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/2 + 2292380*r - 2627503032200 = 0.\nAnswer: 2292380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*r + 291 - 313, -5*r + 30 = 3*y. Let o(z) be the first derivative of 2\/3*z**3 + 10*z**2 + y + 18*z. Factor o(l).\nAnswer: 2*(l + 1)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -10570, -3\/19, -2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Let z be (75\/(-6))\/(2\/(-4)). Suppose -t - 89 = -6*t - x, -t = 2*x - z. Solve -4*o + 2 = -i*d - t, -2*d - 11 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2339, -2354, -2395, -2474, -2603?\n\"Answer: -2*z**3 - z**2 + 2*z - 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4423733*q**2 + 12959806*q wrt q?\nAnswer: -8847466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1677\/7 + 239. What is the nearest to -0.2 in -0.1, o, 0.2, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from fpyllypypnl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 7\/2*f**2 + 0*f - 20. Let g(q) = -2*q. Determine b(g(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34419836 is divided by 3640.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 7. Let z(f) = 3*f + 21. Let t(g) = 17*a(g) + 6*z(g). Suppose -4*r - 182 + 50 = 0. Let d = r - -28. Give t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 x when three letters picked without replacement from wwwx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -12 - 5529\/(-485))*(0 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + 1*sqrt(112))*-4 - (1 + sqrt(112) + 1 - (0 + sqrt(112) + sqrt(112) + -1))) + 4)**2.\nAnswer: -408*sqrt(7) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1944*a**6 - 421*a**2 wrt a.\nAnswer: 233280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -47, -64, -79, -92, -103?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (7 - 2) - -2. Let m(x) = 3*x**2 - 2*x + 1. Let d be m(1). Suppose v = -d*o + 106 + 324. List the prime factors of o.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 125194*g\/7 - 625920\/7.\nAnswer: -2*(g - 62592)*(g - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 4*p - 4*p)*(-665414 - 2691*p + 665414) to the form s*p**4 + m*p**3 + d*p + j + w*p**2 and give s.\nAnswer: 5382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/9 (c) -8023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37099, -37213, -37327?\n\"Answer: -114*f - 36985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001110101 (base 2) to base 11.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/21, -14, 3, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-48)\/(c\/c**5*c\/(c*c**(5\/3))) assuming c is positive.\nAnswer: c**(-271\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 1, c: 3, t: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -2 (c) -1\/17 (d) 1 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-52) + -7*6\/(-8). Suppose -2*w = 4*h - 8, r*h = 2*w - 0*w + 19. Solve -4*n = -o + 1, -4*n + h*o - 5*o = -2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330300410 + -3?\nAnswer: -330300413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 25 = 37. Suppose -3*a = x - 2, 4*a + 3*x = -x. Let r be (-9)\/81 + -1 + a. Are r and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011468 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 (base 13) in base 6?\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by -1592.\nAnswer: -141\/1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0.4, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 7. Let k(a) = a + 4. Let r be k(0). What is the remainder when t(6) is divided by r*2*(-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*f = -6*a - 5, 5*f = a + 22. Suppose a*s - 7*s + 8 = 0. Suppose -17*g - 2 = -34 + 15. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*10\/14*-78. Let f be (-2)\/(-4) - y\/(-20). Suppose -4*d = -5*s + f, -25 = 5*d - 4*s - 9. Solve d = -5*h - 5*b - 25, -2*b - 10 = -3*h - 0*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 304 - 748 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -10\/31, -2 in increasing order.\nAnswer: -2, -2\/5, -10\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9146 - -9146.05. Which is the biggest value? (a) 13 (b) t (c) 1 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -368 - 13. Let t = p + 78. Let w = t + 302.9791. What is w rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2035867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 6. Let p = 33 - 18. Let l be (-3)\/(-5) + (-294)\/(-35). Let o = l - p. Let t(m) = -2*m + 13. What is o*t(d) + 13*k(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 13518510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265374738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.5 - -14.5. What is the fourth smallest value in u, -0.1, -0.062, -3?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4 = -10*c, 6*c - 39 = 5*f - 145. Calculate the remainder when 1418\/18 + 2\/9 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 14 = 4*d, 3*k = 5*d + 28. Suppose -5*q - 25 = -k*q + 3*m, -3*q - 4*m = -114. What is the units digit of 8\/(-20) + q\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 833 = -835 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -998*p + 19 - 75 + 30 - 1249*p + 24 to the form u + r*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14980 + 21022. What are the prime factors of a?\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/363820 and 41\/55.\nAnswer: 4002020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143.96 + 1.04. Let h = 142 - u. Which is the closest to 0.3? (a) -0.2 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72\/5? (a) 97 (b) -1\/4 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -z + 3*r + 1472, -z = 5*r - 1304. Suppose -11*u = -z - 713. Is u a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011000110001010100 (base 2) in base 13?\nAnswer: -3135c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75\/7692794 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 5*s, -s = 4*w - 132. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -12, -39, 2.\nAnswer: -39, -12, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 352 times -3\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 3 + 6)*(3 - 4 + 3)*(-2 + 5 - 2)*(-3 + 1 + 1)*(5*t - 3*t + 0*t)*(-373*t + 164*t - 175*t).\nAnswer: -12288*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.444 + -0.044. What is the biggest value in 1, 4, h, 0.29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/9, -2, 4, 1\/8, 3\/5, -7, 77?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -1\/2, -9, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzwz when four letters picked without replacement from {d: 1, b: 5, w: 3, z: 2, r: 8}.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -174, -255, -330, -399, -462, -519?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6775 + -3552. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109938 = 4*j + 3*n, -5*n = -252*j + 254*j - 54976. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 + 147*w**2\/4 - 1629*w + 22113.\nAnswer: -(w - 78)*(w - 42)*(w - 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62, 121, 206, 317, 454, 617, 806?\n\"Answer: 13*j**2 + 20*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 1. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 0.3, -4, -39, -12?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 + -68.3. Let z = d - -62. Let s = -0.25 + -9.75. Which is the smallest value? (a) s (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(15\/7)\/(f\/(f*f*f*f**(-1\/9))*f**(-6)))**(-37) assuming f is positive.\nAnswer: f**(-13394\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1663*a = -1667*a - 39, -2*a + 21 = 3*w. Solve w = -4*q - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011511\/10 less than or equal to 701152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*s - s + 6*s)*(-5*s - s + 0*s) + 4*s + 2*s**2 - 4*s)*(2*s**2 - s**2 - 3*s**2) in the form g*s**4 + x*s + h*s**2 + f*s**3 + i and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6441 divided by 3\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -30*q**3 - 2*q**2 + 3*q + 4. Let v(c) = -c**3 + 2*c**2 - 2*c + 12. Let t be v(3). Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 19. What is p(15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 30. Let o(t) = -13 - 3*t + 6 + 7. Determine o(z(c)).\nAnswer: 6*c - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3320, 13331, 30012, 53357, 83360, 120015, 163316, 213257?\n\"Answer: -m**3 + 3341*m**2 - 5*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57\/424 + -1\/106. Which is the second biggest value? (a) -2\/13 (b) 4\/5 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851*j = -675*j + 120554 for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22805651*h**2*o + 34905636*h*o wrt h.\nAnswer: -45611302*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11355 and 1150343256.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qbq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 182965823303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/7 - -1)*14. Is (-1)\/((-4)\/(-8)) + 5960\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*p = 42, -3*c - 21 = -c + 5*p. Let z = -18 - c. Suppose z = -4*y + 2*y + 38. Calculate the remainder when 36 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from {v: 14, a: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2775362202.\nAnswer: 2, 3, 509, 302921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (121\/(-1496))\/(21\/(-756))\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -335\/4?\nAnswer: -335\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38723 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -13959.64747 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168382 is divided by 14013.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -14. Let u(b) = 5*b**2 + b - 1. Let i be u(1). Does 6 divide (4 - i)*x\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:39 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7*h - 152*h**2 - 7*h**2 - 81*h**2.\nAnswer: -240*h**2 + 7*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (20991\/(-69970))\/(((-126)\/(-5))\/(-3))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9808 - 1082.4192. Round x to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15344 (base 7) in base 3?\nAnswer: -12220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1800 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7235129.\nAnswer: 11, 67, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let z = y + -2. Let k = 1542 + -1541.5. Sort z, k, -4 in descending order.\nAnswer: k, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(810)*-1 + (sqrt(810) - (sqrt(810) - ((sqrt(810) + sqrt(810)*2 + sqrt(810))*5 - sqrt(810)))))\/(sqrt(56)\/(2*sqrt(7))*1).\nAnswer: 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67213859 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26928525 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0*c)\/c*c*c)**(-1\/3))**(-2\/5)\/((c\/(c\/(c**(-1\/12)*c)))\/c*(c\/(((((c**(3\/8)\/c)\/c)\/c)\/c)\/c))\/c)**40 assuming c is positive.\nAnswer: c**(-907\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)\/((o\/(o**(2\/7)*o))\/o)*o**0*o**(-1\/10))**22 assuming o is positive.\nAnswer: o**(2431\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410.34486 - -410.4. What is r rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.48 in 3\/8, 0.08, -1\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14084 in -0.2, 1\/8, -5, -2\/15, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2893800 by 3900.\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2770 is divided by 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6109760 and -1\/4276832.\nAnswer: 42768320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 66 = 3*g - 4*m, -4*g - 3*m = -113. Suppose w + 0 = 1, 5*b - 5*w + 30 = 0. Let r be 2\/5 - 63\/b. What is the greatest common factor of r and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 18*s**2 - 19*s + 4. Let d be z(19). Suppose 0*x - 8 = -4*x. Suppose 4*g - 50 = x*k, -3*k - k = d*g - 68. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(2\/41)*l**(-5\/4)*l assuming l is positive.\nAnswer: l**(131\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c30954 (base 13) in base 16?\nAnswer: 455145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a**2*t**4 + 15*a**2*t + 2*a**2 - 16*a - 33 wrt t?\nAnswer: 36*a**2*t**3 + 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffffffffffrfffrff?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 13960 in increasing order.\nAnswer: -10, 4, 13960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8)*20\/12)\/((-675)\/(-135))*-58.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 117185?\nAnswer: 17\/117185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*x - 18040, -5*x - 16565 = -4*n + 1435. Calculate the greatest common divisor of n and 530.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 6119.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 31*t - 68. Sort -6, 0, -5, t in descending order.\nAnswer: t, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 4 + 11 + 9*y + y**3 + 0 + 11*y**2. Let u be x(-10). Suppose -4 - 1 = -u*r, -b + 76 = -3*r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4147 and 17\/13717.\nAnswer: 178321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 - 118. What is the nearest to -0.1 in 2\/9, s, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.5985365 times -0.08\nAnswer: 0.52788292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*u**3\/4 - 1167*u**2\/4 - 10041*u + 21235 = 0. Calculate u.\nAnswer: -31, 2, 1370\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -378, 1859, 4092, 6321, 8546, 10767, 12984?\n\"Answer: -2*x**2 + 2243*x - 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 13344?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -27, -62, -121?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, -84662, 2, -3\/35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14189410 is divided by 346081.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3360 (base 7) to base 6.\nAnswer: 5350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923568.\nAnswer: 2, 120223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0 + 0*i**3 + 0*i - 1\/510*i**5 + 0*i**4 + 1\/1785*i**7 + 9*i**2 + 0*i**6. Factor t(m).\nAnswer: 2*m**2*(m - 1)*(m + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25285 = -9*o - 5908. Suppose -287 = 6*m - o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-5 - -3) + -1*3. Factor -5 + 2*o**4 - 6*o - 12*o**m + 3*o - 1 - 13*o.\nAnswer: 2*(o - 3)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10\/(k*k\/(k**(-11\/4)*k)) assuming k is positive.\nAnswer: k**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 36\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1195*f**4 + f**2 - 2*f + 1199*f**4 - 14*f - 2 to the form g*f**2 + c*f**3 + t + m*f**4 + i*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-14)\/(-4) - 0) + -2)\/((-1389)\/(-81207422)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 3*q)*(-16303*q - 11622*q + 8885*q).\nAnswer: -38080*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 9*w**2 + 9*w - 4. Let s be h(-10). Let t be s*((-29)\/(-6) + -4). Suppose t*x - 104 = -2*v, 0 = -x + v + 2 + 16. Solve -3*b - 5 + x = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*g + 1512996, -5*h = 4*g - 3*g - 302580. Round g to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639\/5*j - 636\/5 - 3\/5*j**2 = 0.\nAnswer: 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*g**4*i**2 - 608*g**4*i + 176*g**2*i**2 - 4*g**2 + 2*g*i**2 - g*i wrt g.\nAnswer: 4152*g*i**2 - 14592*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (10\/(-4))\/(10\/(-40)) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 146 = -916. Let m = -105 + z. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 z when three letters picked without replacement from {c: 6, z: 3, m: 4}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6032261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 2*l**5\/5 - l**3\/3 - l**2\/2 - l. Suppose -2*n - 2*x = -2, 3*n + 5*x - 7 = -0*n. Calculate t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*y**4 - 3*y**2 + 11766*y - 6635763.\nAnswer: 20*y**3 - 6*y + 11766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -4284143613.2?\nAnswer: 4284143615.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.2 + -0.2. Let v = s - 22. Let p = v - -12.0000025. What is p rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10697, 10666, 10613, 10538?\nAnswer: 10441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1022.89 and 0.37?\nAnswer: -378.4693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 0 - 1 + 2*i**3 + 5. Let x(o) = o**2 - 2*o - 4. Let b be x(0). Let j(c) = c + 1. Let d be (-66)\/14 + 10\/(-35) + 6. What is b*j(r) + d*w(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4102 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403301604 a multiple of 1295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than or equal to 16960.8673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53097 is divided by 6283?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/12 + y**2\/2 + 137*y. Let f(g) = -g**2 + 2*g + 2. Let n be f(3). Let q be i(n). Put q, 1, -5 in descending order.\nAnswer: q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/371 - 501\/4823. Which is the second smallest value? (a) -5 (b) w (c) 8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 72, 180, 346, 576?\n\"Answer: d**3 + 20*d**2 - 11*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2. Let g be (-4)\/(-2)*o\/32. Which is the closest to 1? (a) -5 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190 in 72778, 5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 38065.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 65 = 847. Let m = c - -786. Solve 0*r = 5*r - m*f + 7, 5*r + f - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -689 divided by -2.\nAnswer: 689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 76. Let y be (-28)\/3*(2 + (-1 - 77\/44)). Give n(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182912 is divided by 1466.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9499.\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18\/d**(2\/15) assuming d is positive.\nAnswer: d**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let x be (-1)\/((-2)\/186 - u). Let h = -14 + x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1744693, 1745161, 1745941, 1747033?\nAnswer: 1748437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a + t + 23 = 0, 0 = 4*a - 3*t - 25. Suppose a*s - 4*z = 12, 0*s - 17 = -3*s - 5*z. What is the units digit of 12\/(-3)*(-39)\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*u - 89*u = 4*z + 6, -3 = 3*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3238 * 0.21\nAnswer: 679.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - -33. Let d = g + -7. Calculate the highest common factor of 171 and d.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-75)*2\/7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5942 - 15352 - 8435)*(1 + 1 + 1)*(2*a + 0 + 0)*(-1 + 3 - 1).\nAnswer: -107070*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6822 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 7 + 36\/(-17). Let h = -3 + 2. What is the second biggest value in u, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 10. Suppose -i*f - 24 = -6*f. Let p = 15 + -11. What is the remainder when f is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -10. Let t(a) = -a**2 + 7*a + 2. Let y be t(v). Suppose -60 = -13*b + y*b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**3 + 109*l**2 - 99*l**3 + 56*l**3 + 211*l**2 + 26*l**3.\nAnswer: 14*l**3 + 320*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t\/t**(-4))\/t)\/t)\/(t**(-2\/5)\/t)*(t*t\/((t*t*t**(-5)\/t)\/t)*t*t*t)\/(t**2\/t*t)*t**(-19)\/t**(-4) assuming t is positive.\nAnswer: t**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, 12\/23, 1\/9, 0.4.\nAnswer: -4, 1\/9, 2\/9, 0.4, 12\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-42))\/(-2)*105\/(-4725)*-54\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163086.\nAnswer: 2, 3, 7, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 8. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(2*sqrt(8)*6 - sqrt(8)).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*l. Suppose l = g + 1. Calculate the smallest common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(21\/(-2)) + (-40)\/(-24)*216\/(-84)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 + 6*s - 3. Let o be j(4). Suppose -5*z + 2*g = -8*z + 7, -10*z - 4*g + 34 = 0. Calculate the highest common factor of o and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 26*h + 29. Suppose 28*w + 55 = 25*w - 5*r, 0 = -2*r + 8. Give o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x - 0. Let o = x + 1. What is the smallest common multiple of 7 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -54. Calculate the remainder when a is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(11907\/(-54)))\/((-8)\/(-6)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 638*x**3 - 9*x**2 + 4*x - 18. Let m be b(-9). Let d = 2534115 - m. Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + l + (-1 + 0 - 1)*(-3*l + l + l) - 6 - 2*l + 6)*(61 - 83 - 538).\nAnswer: -560*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368394 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 5184?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*o**3 - d*o**2 + 3*d + 44*o**3 - 7*o - 1 wrt o?\nAnswer: -18*d*o - 2*d + 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/56*(-84)\/(-336)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:22 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 15, 9 = 3*p - 2*t + t. Solve -p*i - x - 10 = 0, -2 + 0 = x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, c: 1, t: 1, b: 1}. What is prob of sequence dtd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 416 and 18.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -554853*u**2 + 198*u. Let h(x) = -2*x. What is t(h(s))?\nAnswer: -2219412*s**2 - 396*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19666528 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 129, 1, -2, 5 in ascending order.\nAnswer: -25, -2, 1, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 15743*w - 30490642\/3.\nAnswer: (w - 47866)*(w + 637)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*a = -a - 9, 2*a - 18 = -4*r. Suppose -2*s + 60 = -3*y - 7*s, 4*s + 42 = -2*y. What is the units digit of (-100)\/y + 2\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -114*k + 3329. Determine x(30).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by -9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 1 - g**2 + 5*g**3 + 0*g**3 - g. Let n = -12723 + 12724. Let t(o) = 3*o**3 - 8*o**2 - 3*o - 5. Determine n*t(q) - 5*l(q).\nAnswer: -2*q**3 - 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-12)\/(-9) + -2). Suppose 24 = -s + z*s. Solve 0*a + s = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c50a81 + 12?\nAnswer: -3c50a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 17*h**2 - 197 + 4*h**3 - 199 + 399 in the form x + o*h**2 + j*h**3 + p*h and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21111 - -1?\nAnswer: -21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) 3 (c) -2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 122425 = -5*s, -s + 35*a = 32*a - 24477. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25492715.\nAnswer: 5, 89, 57287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2665 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 3*w**4\/4 - 2*w**3\/3 - w + 1. Let l be n(2). What is the highest common factor of l and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j. Let d be j + (3 + -2)*3. Suppose -18 = -3*g - 2*o - 0, -6 = -g + d*o. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 832 - -2815. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13868, 13699, 13424, 13049, 12580, 12023, 11384, 10669?\nAnswer: 9884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 15537*f + 15542*f + 70, 3*u + 17 = -4*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -0.1. Let a = z - 0.2. Let w = -0.44 + a. Round w to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + 10 + -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(2))**2 - sqrt(8)\/sqrt(64).\nAnswer: -25*sqrt(2)\/4 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b + 12254?\nAnswer: 122b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 (base 15) in base 16?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.028 - 3.872. Round w to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -8?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y = 26 + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148516532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 24107.6409 to zero decimal places.\nAnswer: 24108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(52)\/sqrt(4) + -4)**2*1.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2. Let k be o(4). Suppose k*d - 5*d = -10. Solve d*m - 7 = -3*l + 9, -3*l = -4*m - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 74*(-5 + 77\/14). Suppose 30*v + 237461 = f*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*i = -29 + 31, -5*o - 35 = -5*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.3 + 0.3. Let g = a - -13. What is the third smallest value in 5, g, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 10*i**2 - 374*i - 1971. What is c(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6) + 171\/(-38))*69\/184?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135 divided by -61.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5733161 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 0. Let f = 5 - o. Suppose 2*c + x - 39 = 0, f*c + 3*x - 81 = c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/8, 1, 0.1, 248\/239 in decreasing order.\nAnswer: 248\/239, 1, 2\/3, 1\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 336\/4 + (-48)\/6. Suppose -64*w - 5220 = -u*w. Does 36 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0*f*f*f**(-9))**(4\/5))**26 assuming f is positive.\nAnswer: f**(-624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -1 - 3. Let v = 0 - -1. Suppose v = -x + 2*x. Calculate the remainder when b is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -1\/4 in increasing order.\nAnswer: -5, -1\/4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2 - 460*q + 154. Calculate x(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 114\/4*(24\/(-7))\/(11520\/(-8960))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5154658ml in litres?\nAnswer: 0.0005154658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 4}. What is prob of picking 2 j and 2 r?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25d1c (base 15) in base 8?\nAnswer: 354365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-7))\/(44\/77)*(-350)\/7000\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-3)\/sqrt(10) - sqrt(19) - (0 + sqrt(2299))**2.\nAnswer: -2299 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -546 < -38\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 53*k**4 - 44*k**4 - 3*k**3 - 9*k**2 + 0*k**3 + 6*k - 3*k**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y**3 + 2 + 2*y**3 + 3*y**3)*(-y - 4*y - 7*y) to the form t*y + m*y**2 + z + v*y**4 + a*y**3 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1057, -10, -3, 5, 2, 0 in increasing order.\nAnswer: -10, -3, 0, 2, 5, 1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i)\/i)**(-2\/21) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 371472 or 371467?\nAnswer: 371472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t + t)*(-2*t + 38 - 38) + t**2 + 1 + 5*t - 5*t.\nAnswer: -3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 4*u + 3. Let z(w) = w + 3. Let t be z(0). Let n(c) be the first derivative of 4*c**3\/3 + 9*c**2\/2 - 7*c + 1. What is t*n(l) + 7*p(l)?\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2 + (-7)\/(-2)). Let s(m) = m**3 + 7*m**2 + 8*m + 7. Let o be s(-6). Let b = z - o. Solve 0 = -g - 4*g + 3*c - 27, -g + 9 = b*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*y - 124 = 0, 5*b + 5*y = 6*y - 343. Let u = 163 + b. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 14*r - 6. Let s(k) = 2*k**2 - 15*k - 7. Calculate 7*j(b) - 6*s(b).\nAnswer: 2*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*o = -6*q, 4*q - 5*o = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/32 - 21*m**3\/8 + 165*m**2\/2 - 2299*m\/2 - 4344. Let a(x) = 0. What is x?\nAnswer: 19, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3729, -3670, -3571, -3432, -3253?\nAnswer: -3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28041 and 6786?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhyhyyy. What is prob of sequence hyh?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0633705 * -22\nAnswer: -1.394151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -301. Let x = r + -119. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.75 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 4524*n**2 + 6822192*n + 3429288512.\nAnswer: (n + 1508)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549099 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + f. Let c be -4 + 95\/30 + (-23)\/(-6). Give x(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 4*h - 1. Let b be y(-3). Let s = b + 22. What is the remainder when s is divided by -4*(-3)\/54 - (-612)\/162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(3*sqrt(11) + sqrt(11)))\/((sqrt(144)\/sqrt(9))\/sqrt(4)) + 1.\nAnswer: sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 62533813?\nAnswer: -62533810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/66*6\/(78\/65)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 92 = -77 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172512 = 24*h + 28008. What are the prime factors of h?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488409826.\nAnswer: 2, 229, 523, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -1400?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 268048*h + 268052.\nAnswer: -4*(h - 67013)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {t: 3, u: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -4\/173, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 6*m**2 + 1. Determine u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 411013365 - -1?\nAnswer: 411013366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24120)\/(-1206)*(-6)\/(-15)*10\/(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -15*b + 15. Calculate the lowest common multiple of b and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6837604*z**2 + 12349407*z?\nAnswer: -13675208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2. Let q(y) be the first derivative of 10*y**2 + 289. Calculate q(t(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-10)\/3)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*a - 775, 5*a - 769 - 1140 = 3*s. Calculate the greatest common factor of 114 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 103 + 11 - 5*a in the form m + j*a and give m.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4) - -1)*0. Let j be -3 + s - (3 - -14994). Round j to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 17*w - 4 + 15*w - 2*w**2. Calculate u(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-86)\/(-129))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 139*i - 138*i. Calculate the remainder when 671 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*y - 116 + 1985 = -915 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**4*u + 26*n**3*s - 11*n**3 - 4347*n**2*s - 2*n*s*u + 2 wrt n.\nAnswer: 24*n*u + 156*s - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-15) + (38\/3)\/2. Solve 0 = -j, g + 2 = -4*j + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 8, 7, 1 in descending order.\nAnswer: 8, 7, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1) + (2 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 139857840 divided by -366120\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2971, -3, 0, 5 in ascending order.\nAnswer: -2971, -4, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/420)\/((-2)\/(-411)). Let g = 21\/5 - n. Which is the closest to -42? (a) 4 (b) -5 (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 455*d*f**3*r*y + d*f**3*y**2 - 9*d*f**2*r + 40392*d*f*y**2 - 5*d + 56*f**3*r*y - 31*r*y**2 wrt y.\nAnswer: 2*d*f**3 + 80784*d*f - 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-144)\/10 + (-408 - -422). What is the biggest value in -4, z, 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20854245?\nAnswer: 3, 5, 1390283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 21281?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -216149?\nAnswer: -5\/216149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 7:29 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123 + 21313?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 2*n**2 - n - 3. Let c(b) = b**3 - 2*b**2 + b + 2. Let y be c(2). Suppose -5*j + 3*s - 18 = -y*j, 2*j - 3*s + 21 = 0. Is 9 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101011111?\nAnswer: 101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9637184, 19274370, 28911556?\n\"Answer: 9637186*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in 3, -5, 1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - -1) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-489)\/(-1630) + (-146)\/20\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(108))*5 + (sqrt(108) + 1 + sqrt(108))*3)*2 + 5)*4)**2.\nAnswer: 46464*sqrt(3) + 838288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12990 + 20440. Is 68 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1*441)\/(-3))\/(0 + -1). Let d = -123 - u. Calculate the greatest common divisor of 336 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3, s: 1, h: 2, c: 1, j: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = 0, 4*t - 4 = 3*x + 12. Let l be 3\/(t + 3 + -5). Calculate the remainder when ((-84)\/4)\/(l\/2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 320*y + 22*y**2 + 5*y**2 + 13*y**2 - 317*y - 22*y**3 to m*y**3 + x + d*y**2 + o*y and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n**2 - 4*n + 5. Let m be q(2). Let v(h) be the first derivative of 3*h**2\/2 - h - 1. What is the tens digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(0 + (-1)\/2). Suppose 142*k - 40 = 132*k. Let y(c) = -2*c**3 + 108 - k*c + c + 3*c**3 - 114 + 2*c. Determine y(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 1*(sqrt(77) + (sqrt(77)*-2 - sqrt(77))) - 6*(sqrt(77) + sqrt(77)*-2))\/(4*sqrt(343)*-1).\nAnswer: -5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 13*w**2 + 42*w - 3. Give f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1431948218*h**3 + 1014197668*h**2?\nAnswer: 8591689308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720 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: Solve -10*j - 12 = -22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690812, 690837, 690878, 690935, 691008, 691097, 691202?\nAnswer: 691323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 3*z - 48, 3*m - 66 = 3*z. Find the third derivative of -m + 14*r**2 + 122*r**4 + 30 - 8 wrt r.\nAnswer: 2928*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18416618.\nAnswer: 2, 11, 271, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 18*i + 22*i = 42, 5*d = 4*i - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40 + (5\/(-1))\/5. Let k = v - 35. Let x(f) = -f**3 + 4*f**2 + 3*f - 5. Calculate x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 - 375*g**2 - 11160*g + 11514. Let t(f) = -7*f**3 + 751*f**2 + 22320*f - 23025. Let c(k) = 13*d(k) + 6*t(k). Factor c(u).\nAnswer: -3*(u - 1)*(u + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 733482866 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -363*y**3\/7 - 132*y**2\/7 - 16*y\/7 + 1230. Factor r(j).\nAnswer: -(33*j + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g**2 + 71. Let h(l) = -45162*l**2. Give m(h(x)).\nAnswer: -32633699904*x**4 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22*k**2 + 2*k**3 + 2*k - k**3 - 2 + 29 - 29*k. What is the hundreds digit of a(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1296 divided by -54\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 65*z**2 - 6*z**3 - 4*z + 3*z - 65*z**2 + 5*z.\nAnswer: -12*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 9*j**2 + 11*j - 47. What is o(9)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8*g + 13*g = -88, -5*g = -4*w + 72 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(273\/104) - 4\/6. Let b(i) = -5 - q*i - i - 10 + 14. What is b(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = -o, -2*p = -5*o + 18 - 4. Suppose p*v + 28 = 7*v. Calculate the lowest common multiple of 102\/27 + (-4)\/(-18) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:44 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/12)\/((-8)\/(-60)*-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113643 by 23.\nAnswer: -4941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61414 and 45204163.\nAnswer: 45142749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Suppose 0 = -4*b - f*o + 7, 2*o - 2 = 4*b - 16. Suppose -d - 4*u + 45 = 0, -4*d + 235 = b*u + 2*u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 24. Suppose -2*z + 12 = -z. Let l be v(z). Put 2, -2\/17, l in descending order.\nAnswer: 2, l, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i - 477. Determine r(-26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 63 = -2*q + 5*n, -4*n - 84 = -3*q. 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: What is 669 minutes before 12:09 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v = 60*v - 2. Sort v, 2, -1, 4 in ascending order.\nAnswer: v, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - 4.8. Let i = 5\/2 - 7. What is the biggest value in i, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -9*c**3 - 3 + 3*c - 3*c - 3*c**2 + 11*c**3. What is the second derivative of m(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - w**2 + 9 + 3*w**2 + 0*w + 0*w**4 + w - 6 as t*w**3 + y*w + s + q*w**4 + r*w**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 1, q: 1, v: 5, l: 2, t: 1}. What is prob of picking 1 j and 1 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - 6*p + 3. Let v be q(-6). Suppose 7*o + v = 4*o. Which is greater: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -313*((-949)\/(-237) - 4). Let h = x + -1\/79. Which is the third biggest value? (a) 3 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 2\/9 (b) 7401\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602736848 by 4.\nAnswer: 150684212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from efbtxffxxtpftxbpfxpp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108383788 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 297 - 2*i - 297. Let l(j) be the third derivative of 13*j**5\/60 - 2*j**2 + 216*j. Give l(z(x)).\nAnswer: 208*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 2325?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)*(5 + (-168)\/35). Which is the second biggest value? (a) 1\/8 (b) 0.5 (c) f (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104 + 324101?\nAnswer: 331210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51680 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2a8 (base 16) to base 5\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2 + 3*w. Let i(h) = 4*h**2 + 2*h. Let p(q) = 2*a(q) - 3*i(q). Let t(z) be the first derivative of -z**3\/3 + 7. Calculate p(t(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 25 + -46 - -10 - 43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -929\/7. Let h = 119 + -114. Which is the closest to q? (a) h (b) -0.07 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {j: 1, y: 1, i: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvhv when four letters picked without replacement from hhhhvvhvvhvvhhhhhvh.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.195 in 0.7, -3, -7, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 - 6*l**3 + 6*l**3)*(l - l + l) - 2 + 2*l**5 + 2.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 20*a**2 - 67*a - 43. Let q(t) = -t**2 + 10*t + 20. Calculate the remainder when q(7) is divided by y(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375256 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Let t be (q - 1)\/((-11)\/(-132)). Let j be (-50)\/t + 12\/3. What is the smallest value in 4, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7d78 (base 14) to base 13\nAnswer: 9c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = 8*f + 85. Suppose -23*b + f*b - 53192 = 0. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25752 and 11.\nAnswer: 283272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**5 - 501*r**4 - 2487*r**3 + 153273*r**2 + 417384*r - 156060 = 0.\nAnswer: -34, -3, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**3 + a**2 - 5*a + 2. What is the lowest common multiple of t(1) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 225330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 5 - 5)*(-11*c - 15*c + 8*c) - 4*c + 2*c + 4*c)*(-2 + 2 - 2).\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = -3*r, r - 3*r = -2*g + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -157. What is the nearest to 4 in 0.1, j, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.58661 to 0 decimal places.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312313 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = g - 2*p, -2*g + p = 0. Is 20\/9 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:36 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2 - 4*o - 3. Let n(c) = -3*c**2 - 3*c - 2. Let k(a) = -3*n(a) + 2*u(a). Factor k(y).\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366027450 to the power of 1\/2, to the nearest integer?\nAnswer: 19132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6156642?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1166, 2094, 4620, 9542, 17658, 29766?\nAnswer: 46664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 3*o + 19. Let y be c(17). Let l = 563 + y. What is the remainder when -5 - l\/9 - 4\/18 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.526 less than -829977?\nAnswer: -829972.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126195367\/630 - 200310. Find the common denominator of -22\/175 and p.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = 5*p, -2*w - 5*p = 2 - 3. Suppose 0*x + 2 = x. Suppose x*g = -w*g + 19500000. What is g rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221832 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/7? (a) 11 (b) -0.15 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19 = -y, 0 = 3*x + 2*x - 20. Let k(o) = 74 + 72 - o - 135. Let d be k(y). Solve -2*r + 2 = d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 19. Suppose s*l = -0*l + 12. What are the prime factors of 3\/((l\/26)\/3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 15. Let i = 19 - 11. Let z be g(i). Let s be (3\/z)\/((-1)\/1). Put s, -0.4, 0.01 in ascending order.\nAnswer: -0.4, 0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*o)*(-7*o**3 + 2*o**3 + 0*o**3) - 5*o**4 - 2*o**4 + 2*o**4 + 5 + 0 + 2*o**4 - 3.\nAnswer: -28*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2. Let p(y) = 2*y**2 + 16. Let t(u) = -1185*u**2 - 18960. Let d(k) = 1185*p(k) + t(k). What is q(d(b))?\nAnswer: 2808450*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 76. Let y(a) = 4*a**2 + 80. What is 3*h(m) + 2*y(m)?\nAnswer: -m**2 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(171) + sqrt(19) - sqrt(95)\/sqrt(180).\nAnswer: -1 + 23*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/36*6\/16*2. Let x = -17 + 12. Sort 3, x, w in decreasing order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453329.193 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + ((sqrt(147) - (-1 + sqrt(147) + sqrt(147)))*-2)**2.\nAnswer: -56*sqrt(3) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 0.5, 5, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 29*y + 24*y - 79*y + 21*y + 3. What is q(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 365076116*q\/7 - 365076118\/7.\nAnswer: 2*(q - 182538059)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102, -213, -324?\n\"Answer: -111*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 370 = 346 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1, 24, 1.\nAnswer: -1, 0, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -1 - (-14 - (4 - 24))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 9*s + 9. Let f be q(6). Let o be ((-39)\/(-52))\/((-6)\/(-40)). Solve -3*p = -3*c + f, 2*p + 2*c - o*c = -22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 0*u**2 + 9*u**2 + u**3 + 0*u**3 to q*u + r*u**2 + i*u**3 + n and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1701538597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85859 is divided by 270.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(512)*4 + (sqrt(5) + (sqrt(5) - (sqrt(5) - (2 + sqrt(5) + 0))) - (sqrt(20) - sqrt(5))*-6))**2.\nAnswer: 34*sqrt(5) + 1461\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r - 3*b - 133, -5*b = 5*r + 330. Let k = -73 - r. Let o = -0.9 - -1. Is o < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 0*i**2 + i**2. Let t(a) = 17*a - 3550*a**2 + 1203*a**2 - 17*a + 1183*a**2 + 1202*a**2. Calculate h(t(o)).\nAnswer: 5776*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -1 + -1 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-165)\/42 + (-432)\/(-96). What is the second biggest value in s, 512, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (1 - 11) - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1375?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0646 and 84.\nAnswer: 83.9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70970 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 + 9 = 0. Suppose 10 = -5*f + 3*y - u, 2*f - 4*y = -18. What is the remainder when 24 is divided by (-26)\/2*1\/f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.1 (c) 3 (d) -19974 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 105.\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1620 and (-17*516\/(-13770))\/(32\/5)?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/17 - 3170760*d**2 - 363190544162874*d\/17 + 726381303937444\/17 = 0. Calculate d.\nAnswer: -13475731, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/170 and 16\/2125?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*z - 100*n + 98*n, -5*z + n + 30 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 4 = 14*h. Let y be 4 - 1 - 11\/((-33)\/(-6)). What are the prime factors of y*(-4 - (h - 52))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 128895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 37\/(-7) - (1 - 1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 34746721. Let r(m) = 25*m. Give q(r(s)).\nAnswer: 50*s + 34746721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1321 (base 4) to base 13\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (2\/(-6))\/((-16)\/(-32))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/6 and -58\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*m + 322*m + 12*m - 152 + 152 - m**2.\nAnswer: -m**2 + 492*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 + 2*r**2 - r - 2. Let a be c(-1). Suppose 0 = -5*v - 4 - a. List the prime factors of ((v - -1) + 6)*11.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2. Let i(h) = 3*h. What is i(m(f))?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, 0.035, 3863.2.\nAnswer: 0.035, 224, 3863.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/3))**(-2\/53)*(p**7)**(-8) assuming p is positive.\nAnswer: p**(-8914\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 h when three letters picked without replacement from {d: 3, g: 1, w: 5, x: 1, k: 5, h: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xppbpxpbpxxx. What is prob of picking 3 p and 1 b?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a)*(3*a + 3*a + 2*a).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -572154 - 338?\nAnswer: -572503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -464656, -464646, -464624, -464590, -464544, -464486, -464416?\n\"Answer: 6*k**2 - 8*k - 464654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.273, 3, 3\/5, -2\/11, -4.\nAnswer: -4, -2.273, -2\/11, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - (-3)\/(-2). Let a(i) be the second derivative of -5*i**5\/4 - 2*i**3\/3 - 3*i**2\/2 - 5*i - 213. Let k be a(t). Solve -4*m + k - 6 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1733 + 1809. Is 3547 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o + 18*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = -0*k + 19*k. Let r(g) be the second derivative of -2\/9*g**3 + 0*g**5 + 0*g**2 + k + 1\/6*g**4 - 1\/45*g**6 - 6*g. Factor r(m).\nAnswer: -2*m*(m - 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 4*y + 1. Let o(t) = t**3 + t. Give -3*n(u) - 12*o(u).\nAnswer: 3*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i - 1. Let m(h) = -23*h - 3. Give 3*m(t) - 8*z(t).\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5645*l**3 - 3450*l + 3450*l - 11286*l**3 + 5650*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36180851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/2 + 63969*d**2\/2 + 511520112*d + 511488128 = 0. Calculate d.\nAnswer: -31984, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3. Suppose -5 = f*l - l. Let o be (11 + l)\/((-1)\/(-130)). What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from iirkknkdkifkr.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t + 17*t - 5*t + 1 - 8*t to m*t + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10546*b**5*n**2 + b**3*n - 4118*b**2 + 8*b*n**2 wrt b?\nAnswer: -632760*b**2*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 + g**2)*(-760 + 13*g - 691 + 1384) + (2*g**3 + g**3 - g**3)*(2 + 0 + 0).\nAnswer: -9*g**3 + 67*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(33) + 2*sqrt(33)))\/sqrt(11)*5 - -3*-2*(sqrt(363)*-2)**2.\nAnswer: -8712 - 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -372630, -372631, -372632, -372633, -372634?\n\"Answer: -o - 372629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by (848\/159)\/((-2)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 8*x + 15. Let b be w(0). What is the highest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614184 = -7819*d - 128621 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 8, 50, 2, 0, -3.\nAnswer: -4, -3, 0, 2, 5, 8, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62727 divided by 721?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 + 2 = 0. Suppose -2*s - 4*d = -3*s + 20, d = j*s - 20. Suppose -15 = -m - 5*h + 2, -m - s*h = -13. Let c(v) = v + 2. What is c(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487982 is divided by 161873.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/373 (b) 1 (c) 3 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 0.01 (c) -2\/3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7097784 and 1776.\nAnswer: 14195568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283201530 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.3 - 20. Sort 3\/5, -0.04, r in descending order.\nAnswer: 3\/5, r, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 0. Suppose -4*m = m. Suppose m = -4*z - 0*d - 2*d - 30, 15 = -4*z + d. What is the second biggest value in q, 5, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/((2\/292)\/(40\/(-80))) is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(891) + sqrt(891))*-5 - ((-5 + 0 + sqrt(891))**2 + (sqrt(891) - (sqrt(891) + -1)*-5)).\nAnswer: -909 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnukunkknunuunknu. What is prob of sequence nknu?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*x - 19*x - 15*x + (1 + 0 - 3)*(-3*x - 7*x + 12*x)*(0 + 3 + 0).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 - 5352*u = 0 for u.\nAnswer: -1338, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(640) - sqrt(10))\/(sqrt(14)\/sqrt(7)*4 + sqrt(2)).\nAnswer: -33*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3 - 783*d**2 + 19236*d + 414540 = 0.\nAnswer: -282, -14, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 14) to base 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7071159 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 3. Let u be o(0). Suppose -33 = -u*x - 21. What is the lowest common multiple of (-75)\/(-9) - 2\/6 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -45*z**3 + 2*z**2 + 6*z + 9. Is s(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:51 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -164 and 0.1639.\nAnswer: -163.8361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 28*f**2 - 52*f**2 + 16*f + 255*f**2.\nAnswer: 231*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -8. Calculate the remainder when 37 is divided by -13*(2 - (-2 - r)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2032026928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 14*j**3 - j**3 - 41*j**3.\nAnswer: -65*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/1576134 and -69\/159152.\nAnswer: 2559641616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 13701, 5, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139.94 - 145. Let u = -2 - -7. Let r = m + u. Which is the biggest value? (a) 0 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.931 + 6.631. Sort y, -1129, 5, 0.\nAnswer: -1129, y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2426167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 8, l: 2, o: 5}. Give prob of sequence tt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -17*d + 24. Let x = 17 - d. Solve -x*a - 6 = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 8 = -5*v. Let y(j) be the second derivative of 2*j**v + 0*j**3 + 0*j**4 - 1\/20*j**5 - 5*j + 0. Differentiate y(q) with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5227 + 5238. Suppose -5*a = -5*g - 175, g + 65 = 2*a - 0*g. What is the remainder when a is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 4, l: 5, n: 10}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5406296 rounded to four dps?\nAnswer: 0.5406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-223)\/(-892) - (-390)\/8 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2*2\/6)\/(166\/(-5478))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 2 + 29 - 2*w**3 + w**3.\nAnswer: -w**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19*x**2 - 4*x + 3. Give c(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 656812429 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34776.1105 rounded to the nearest one hundred?\nAnswer: -34800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4242072 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 78*q**2 + 21*q - 8. What is the units digit of v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36898 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:52 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 9 - 3 + 5*s**2 - s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/16)\/(g*g\/(g\/g**(-1\/35))) assuming g is positive.\nAnswer: g**(-649\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 849 + 1925. Is n a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20877 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: Rearrange (8*z - 4*z - 3*z)*(858 - 858 - 86*z)*(-2*z + 0*z - z) to n*z**3 + y*z + p + q*z**2 and give n.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d51ec + 4?\nAnswer: d5201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:18 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g**2 + 4*g + 14. Let t = -1252 + 1257. Calculate c(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03895 (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -17. Let n(o) = o**3 - 5*o**2 + 7*o - 9. Let a be n(4). Let b be (-20)\/(-1 - d) - a. What is the highest common factor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + (sqrt(14)\/sqrt(2)*1 - sqrt(7))**2 + -4 + sqrt(175) + sqrt(7) + 1)*6*-3.\nAnswer: -108*sqrt(7) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**12*w*w**(1\/6)*w)**(12\/5)\/((w\/((w*w**1\/w)\/w)*w**(-2\/9)*w*w*w)\/(w**(-1))**(-2\/51)) assuming w is positive.\nAnswer: w**(-19078\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1623 = -c + 4*z + 14967, 5*z - 33232 = -2*c. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100312 + 232?\nAnswer: 101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -24684.\nAnswer: -49368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 212\/18 + (-46)\/(-207). Which is the smallest value? (a) 1 (b) -1\/2 (c) u (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l**2 - 717*l**2 - 22*l**2.\nAnswer: -1027*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/12 + 9*u**2. Let n(b) = -8*b**2 - 11*b**2 - 4*b**2. Determine n(r(l)).\nAnswer: -92*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9330 divided by 3110.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 767030*t. Let k(l) = -2*l. Determine k(w(u)).\nAnswer: -1534060*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-75) + 870\/(-225) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4909 is divided by 307.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 156*v - 15*v + 852 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1028 + -2687\/3. Let k = 132 - v. Let c = -4 - -3. Put c, 2, k in increasing order.\nAnswer: c, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 67*f + 0*f**2 + 20\/3*f**4 + 0*f**3 + 0. Let n(y) = y**2. Give n(m(b)).\nAnswer: 6400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26020.66853 rounded to 0 decimal places?\nAnswer: -26021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17678885, 35357743, 53036613, 70715501, 88394413, 106073355, 123752333, 141431353?\n\"Answer: s**3 + 17678851*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -118 - 4*p**2 - 5*p**2 + p + 8*p**2. Let x be n(0). Let a = x - -203. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 29*h = -0*h - 378 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 72 + 120 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -493*m**2 + 492*m**2 - 4*m**3 + m + 1 + 5*m**3. Let w(x) = 7*x**3 - 6*x**2 + 5*x + 6. Give 6*o(d) - w(d).\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810*x = 1653*x - 5181 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11020 divided by 76\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17823249 is divided by 1274.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 49 - (8 - (21 + -11))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2622)\/1472*60\/285.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*x - 6*x. Let u be 10\/12*(-2)\/x. What is the nearest to -1 in u, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 803\/33 - (-8)\/(-6). Let g be (2 + -1 + q)\/((-4)\/(-96)). Suppose 3*y + 5*h = -0*y + 340, -h = -5*y + g. List the prime factors of y.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 1, 0, 16961?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10931358 rounded to the nearest 10000?\nAnswer: -10930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*f - 15 = 0, 0 = -7*d + 5*f + 5 + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 6. Let s be q(10). Let d = s - -16. Solve d = 2*c + 10 - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/293 (b) -2\/9 (c) 2\/3 (d) -4\/5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*s - 0*s. Let g = s + -14. What is the remainder when g is divided by (-8 + 9)*1*30\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/4 + -1 - (-190)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from kkkdokkkkkdkkkkkjky?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1552785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21950 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 424932?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470204 (base 8) in base 2?\nAnswer: 1100111000010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 - -0.2. Let i = -0.15385 + 0.0746. Let z = y - i. What is z rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 17. Suppose -r - 3*t = -36, 3*r - q*r + 4*t = -208. Suppose 4*s - r = -z, -4*z - 5*s = -3*s - 192. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -9496, 3, 4 in decreasing order.\nAnswer: 4, 3, 1\/4, -9496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2. Let j(m) = 102598*m. Calculate j(v(w)).\nAnswer: 205196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180 - -185. Suppose 5*d + 24 = 2*d. Which is the second biggest value? (a) d (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18061 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/15 + 322*o**2\/3 + 616312*o\/15 + 162624 = 0.\nAnswer: -280, -4, 1089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 1.5000006. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 691471198 or 691471197?\nAnswer: 691471197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**3 - 3*k**3 + 4*k**3 + 8*k**2 wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/24*-9*60. Let q = -88 + f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -22350444?\nAnswer: 22350443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -0*r + 4*r, 3*p + 18 = -3*r. Let z = 0.1403 - 0.0403. Sort p, z, 7 in ascending order.\nAnswer: p, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 9*b**2 + 8*b + 5. Let w be i(-8). Is w at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.30000022 - 2.3. What is c rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4*1)\/(159\/((-58512)\/1196)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h - 74*h - 32 = 0. Let p(s) = -2*s - 1. Let b(n) = -8*n - 3. Let v(y) = h*p(y) + 3*b(y). Determine v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - t + 2. Let q be m(2). Suppose q*w = 5*w - 63. Let j be (-2)\/(((-3)\/w)\/(-1)). Calculate the greatest common factor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -27. Let f be (-8)\/(-3) + m\/3. Suppose -4*c + 14 = 3*x, c + 4*x = f*x + 6. Solve g - 4*h + 13 = 0, 1 = c*g + g - 2*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8002174 to the nearest integer?\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, m: 2}. Give prob of sequence wmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 314*k**3 + k**2 + 3*k + 14. Let j be v(3). Let q(g) = -8446*g + j*g - 1 - 2. Let y(r) = -2*r**2. Calculate y(q(p)).\nAnswer: -8192*p**2 + 768*p - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 834, 784, 942, 1506, 2674, 4644, 7614?\nAnswer: 11782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107800160 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199 + -198.999794. What is b rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 12600976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323 - 323.2. Sort 10, i, -5.\nAnswer: -5, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -128, -448, -1070, -2096, -3628, -5768?\nAnswer: -8618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) - (-816)\/5. Let r = n + -44. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80056 is divided by 440?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -42. Let u(b) be the first derivative of 1\/14*b**4 + 1\/7*b**2 - 4\/21*b**3 - 2 + t*b. Factor u(v).\nAnswer: 2*v*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/((-66)\/18) - (-6)\/1. What is the smallest common multiple of 48*(4 - 0)\/8 and (1\/i)\/((-18)\/(-1296))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1049 + 1049. What is the second biggest value in -4, o, 34?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 12\/11, 3, -19?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 5. Let b be u(9). Suppose -12 - 12 = -b*n. Differentiate q + n - 4 - 3*q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 59 (c) 1\/6 (d) -1\/4 (e) -4391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 830 = -2*d, 6*f + 3*d = 2*f + 1655. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 159 = 8*i - 4*i, -2*r + 118 = 3*i. Let n = 530 + -516. Calculate the remainder when i is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -184651, -369248, -553747, -738100, -922259, -1106176, -1289803, -1473092?\n\"Answer: 8*n**3 + n**2 - 184656*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.42 - 4.58. Sort -1\/2, -11\/5, y, -0.1 in decreasing order.\nAnswer: -0.1, -1\/2, -11\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5501375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-34)\/(-8))\/(2\/8). Suppose 0 = -2*i + 2, -3*i + 2*i - 161 = -g. Let m = 196 - g. Calculate the highest common factor of n and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1315548 by -702.\nAnswer: -1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 29*o**2 + 13*o**2.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.43\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - 27\/(-12). Let y(t) = 6*t**3 - 2*t**2 - 2*t + 2. Let x be y(s). Suppose -h - 2*b + x = 0, 0 = -4*h + h + 3*b + 69. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -19) + 9 + -8 - -13\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or 0.9?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25555538?\nAnswer: 2, 269, 47501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 159 + 19)*(-o + 3*o - 4*o) + 2*o - o + o.\nAnswer: -316*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 397441, -3, -5, 1 in descending order.\nAnswer: 397441, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21035 + 12 - (51 + -48)\/((-1)\/(-2))?\nAnswer: 53, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.2 and 0.4.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - l**2 + 4*l)*(-25*l - 207 + 205 - 20*l) to the form g*l**3 + x*l**2 + z + m*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + b + 4098 - 4199 = 0, -2*c - 97 = -3*b + 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 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: b\"What is the vth term of -127635, -127628, -127617, -127602?\n\"Answer: 2*v**2 + v - 127638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -25, 1\/6, -4, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 + 56 = 25*l. What is the remainder when 62 is divided by (l - -13) + -3 + -2 + 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249053010 and 981?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.9 - -46. Let p = 63.9 + m. Let x = -60.00000029 + p. What is x rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -252, -610, -966, -1320?\n\"Answer: o**2 - 361*o + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -24 (b) -1 (c) 0.1 (d) 8 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(4\/27)*g)**(-48) assuming g is positive.\nAnswer: g**(-1792\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8*k, -o + 2*k = -4. Suppose 2*j + o*w = -12, -4*w = -2*w + 8. Solve 4*f = 6*f + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65071 - -65070.99. Let t = -1 + 1. Which is the smallest value? (a) o (b) t (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4477 + 4474 - 8769 + 11*j**3 to b*j**2 + d + s*j**3 + t*j and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 14 + 17 + y**2 - 35. Let g(c) = -2*c**2 + 3*c + 7. What is 10*d(n) + 6*g(n)?\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 16 = -3*l, -l - 59*f = -57*f - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982 a factor of 36963928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/3367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - 546*d**4 - 4631*d**2 wrt d.\nAnswer: 60*d**2 - 13104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76552.\nAnswer: 2, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 3*z**2 - 26*z + 22*z - 5 - 2*z**3 - 6*z**2 in the form y*z**3 + o*z**2 + r*z + c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12391 by 22.\nAnswer: 12391\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 12*v**2 + v + 1. What is c(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416.413 micrometers in meters?\nAnswer: 0.003416413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2787925 (base 11) to base 7.\nAnswer: 55532312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Suppose -5*q = m*l, -q = 3*l - 0*l - 6. Factor -2*v**3 + 4*v + 2*v**l - 2*v**3 + 2*v**2.\nAnswer: -2*v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248693?\nAnswer: 17, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.792093 litres to millilitres.\nAnswer: 6792.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -1\/54*l**4 + 0 + 0*l + 1\/270*l**5 - 2*l**2 - 1\/27*l**3 + 1\/270*l**6. Factor s(g).\nAnswer: 2*(g - 1)*(g + 1)*(2*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4598876 divided by -2299438?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5398*f - 5293*f - 630 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(-10)\/(-12)*(-12)\/(-15). Let q be (3\/m)\/((-9)\/(-144)). Let z(u) = -u**2 - 10*u - 10. Let k be z(q). Solve 4*s + 2 = k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 4*g**2 + 2*g + 4. Let w(p) be the first derivative of -p**4 + 5*p + p**2 + 52 - 5\/3*p**3. Determine 4*w(v) - 5*y(v).\nAnswer: -v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -918969 greater than -918977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*8356.4.\nAnswer: -835.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441681 + 5741855\/13. Let 4\/13*s**2 - 4\/13 - t*s + 2\/13*s**3 = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0, -8\/24863.\nAnswer: -8\/24863, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1364438?\nAnswer: 1364443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1091*c**3*k**2 - c**3 + 144*k wrt k?\nAnswer: -2182*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37496.3 take away 0.1?\nAnswer: -37496.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 0 - 1\/3*c**2 + 0*c - 1\/3*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46750 divided by 125?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u - 4. Suppose -5*d - 10 = -0. Let c be r(d). Let f = c - -2. What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10859*o**2 - 6*o - 3. Let j(s) = 746816866*s**2 - 412642*s - 206321. Give 3*j(u) - 206321*x(u).\nAnswer: 10859*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 22 = -2. Let p be (c + -1)\/((-42)\/28). Solve p = -3*f - 2*s, -5*f - 2*s - 2 = -0*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 160803359099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10457, 20924, 31411, 41924, 52469, 63052?\nAnswer: 73679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 120*b - 957. Let j be a(8). Let -4\/5*m**5 - 8\/5 + 4*m - 16\/5*m**j - 8\/5*m**2 + 16\/5*m**4 = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -593*s - 4 + 1189*s - 4*s**4 + 33*s**3 - 598*s in the form q*s**2 + z*s + t*s**4 + k + i*s**3 and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -485 in decreasing order.\nAnswer: -1, -4, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203148 by 9234.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 2, y: 3, k: 4}. What is prob of picking 4 k?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-64)\/4 + -1). Solve -l = -4*f + 2*x - 3*x, -2*x = 4*f - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 - 2.8. Let t = 491\/660 + 1\/165. What is the third smallest value in a, t, -9\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l + 4*l + 0*l - l)*((-2 + 3 - 2)*(4 - 4 + l) - 17*l - 15*l + 24*l) in the form j + s*l**2 + m*l and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.6. What is the nearest to 0.1 in q, 0.3, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 234934922 and -0.0947322.\nAnswer: 234934921.9052678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 3, -4, 5, -19830 in decreasing order.\nAnswer: 52, 5, 3, -4, -19830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 10*r - 9. Calculate the smallest common multiple of b(3) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose 4 = i*c - 29. Suppose -5 = j, 5*j = v - 9 - c. Let r(m) = -m**2 - 5*m - 4. Determine r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 268*d + 144. Let k(p) = 2*p**2 + 402*p - 204. Let h(m) = 8*j(m) + 5*k(m). Factor h(o).\nAnswer: 2*(o - 66)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 2*n, -2*r = 3*n - 4. Suppose -r*l = -104 - 476. Let i = l - 96. Solve -8*p - i = 5*m - 3*p, m - 11 = 4*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 26. Suppose -5*d - 5 = -4*v, 116*d + 28 = 120*d. What is the lowest common multiple of v and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -1. Solve 0 - v = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/5 - 2338*o**2\/5 - 340084*o\/5 - 134160 = 0.\nAnswer: -129, -2, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22\/(-77) + 506\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + 2 + 1)*-2*-5.\nAnswer: 30 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 204, 265, 330, 399?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 2*b + 1 + 3*b. Let l(m) = 157 - m - 157. Calculate 5*l(u) + o(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11666983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, p: 5, y: 1, g: 9}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 12 - m**2 - 17 - 2*m**3 + 17 to the form n + f*m**2 + z*m**3 + p*m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:34 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4195.1 * 2\nAnswer: 8390.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1591468*d - 30*d**3 + 1591468*d.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - 26. Let y = v + 48.134. What is y rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-8\/7))\/i))\/i**(4\/11))\/(i**2*i*i**(-6)) assuming i is positive.\nAnswer: i**(368\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 41*i - 68. Suppose 10*m - 310 = -0*m. List the prime factors of a(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 160, 236, 384, 628, 992, 1500?\nAnswer: 2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27797\/(-7942)*(-13)\/(-14)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*m + 0*m + 40 = 0, 0 = 3*v - 3*m. Suppose -v*r + 86 + 9 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:47 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16648 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/5 + f**3\/5.\nAnswer: -f**3*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8614 is divided by 429?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*y**3 - 2974*y**2 - 449751.\nAnswer: -12*y**2 - 5948*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 (base 9) in base 16?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 665+16105977\nAnswer: 16106642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 58. Solve l*m = 10*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 - -0.04. Let l(s) = 11*s**2. Let o be l(1). Let u(k) = k**2 - 12*k + 9. Let c be u(o). What is the smallest value in c, 2\/9, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2732*z**5 + z**2 - 219.\nAnswer: 163920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 143. Let k(f) = 1. Let q(p) = -p**2 - 7*p - 23. Let g(o) = -6*k(o) - q(o). Is 23 a factor of g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656698991?\nAnswer: 3, 552232997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 8603 and 9249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -565*j**2 - 10167*j + 67. Calculate r(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 45. Let o = 1759 + -1757. Solve o*g + 4 = g - m, 0 = -g - n*m - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + m - 3*m - 2)*(-7*m + m - m) + (-11*m + 3*m - 6*m)*(-3*m + 2*m + 0*m) in the form b*m**2 + w*m + l and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*j = -754*j - 1824 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Suppose 3*w - 33 = 3*d, -2*w + 7 = -0*w + d. Suppose s*h + 198 = w*h. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266025 - 4?\nAnswer: -266032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*d, -d = -0*r + 4*r. Suppose d = -w + 2*f + 184, 2*w + 0*f + 4*f - 368 = 0. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -4810 + 4815. Let a(z) = -z - 2. Let v be a(-5). What is the second derivative of -r*q - q - 9*q**3 + 3*q + 43*q**v wrt q?\nAnswer: 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 0.1, -2\/41?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 2 = 0. Which is the closest to 0.4? (a) -0.1 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 8:10 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1942713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 855 and 71805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -34976?\nAnswer: 244832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/409685 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/15 or -16907?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12028811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*-2*sqrt(1300) - (sqrt(13) + (sqrt(13) + 4)*-2 + 2 + sqrt(13) + 4))**2.\nAnswer: -1920*sqrt(13) + 2995204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46726, 90258, 127384, 154900, 169602, 168286, 147748, 104784?\nAnswer: 36190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(6*(-6)\/108)*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcgwpggpggacnw. Give prob of sequence gcaw.\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 209 - 27 = -38*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1494.1ms?\nAnswer: 1494100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 295719687, 591439380, 887159075, 1182878772?\n\"Answer: k**2 + 295719690*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588908 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 - 105*w**2 - 550*w = 0.\nAnswer: -5, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 9. Are 0.1 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -195, -293, -393, -495, -599, -705?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c - 3. Let l(s) = -10 - 2*s**2 - 11*s**2 + 17*s**2 - 10*s. Determine 6*l(t) - 20*x(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 13 = -16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v - 1\/84*v**7 - 1\/2016*v**8 - 1\/24*v**6 + 2 - 6*v**2 - 25\/16*v**4 + 19\/36*v**5 + 9\/4*v**3. Find w, given that f(w) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c**3*i*p*w**2 + c**3*i*p + 2644*c**2*i*p*w - c**2*i*p + 2*c**2*i*w**2 - 2*i*w**2 wrt w.\nAnswer: -38*c**3*i*p + 4*c**2*i - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5\/7 + 36*d**4\/7 + 9*d**3\/7 - 102*d**2\/7 - 72*d\/7 = 0. Calculate d.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-1 + -14 - -5). Calculate the highest common divisor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/96 - 907\/(-104)) + 4\/26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in -5, -5.6, 5, 1, 39\/2?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 118923?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 121, -2 in descending order.\nAnswer: 121, 88, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.7 times -4?\nAnswer: -182.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 9*h + 2*h. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 1320?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 121*j**2 - j - 2. Let f be r(-1). Calculate the greatest common factor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54 - 4)\/5 - -2. Let m be 4 - (o\/3)\/(-4). Suppose -4*d = 5*t - 2*d - 1877, m*t - 1865 = -5*d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*i + 10. Let t = i - -40. Let j = t + -38. Is -19 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:34 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20998 + -21425. Put 4, k, -1\/2, -0.1 in descending order.\nAnswer: 4, -0.1, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*y + 10467 = -58*y - 443*y + 33607 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 g, and 1 h when four letters picked without replacement from jgkhjgj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 430, -60.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*i + 8. Let o = 5 + i. Let a be (3 - -2) + o + -2. Let d(h) = -h**3 + 3*h**2 + 6*h - 4. Give d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474198503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 283702.016 to the nearest ten.\nAnswer: 283700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 5. Suppose -18 = -2*s - r*b, -4*s + 8*s - b = 11. What is the remainder when 13 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1232*o - 714*o - 155*o + 2879*o**2 wrt o.\nAnswer: 5758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*f + f = -103, 16 = -4*f. Suppose -t = -2*z + 7. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0*c + 2*c**2 - c**2 - c**2 + c**2 + (-2*c + 2*c - 2*c)*(1 - 1 - 2*c) - 96*c + 709*c**2 + 191*c - 95*c in the form a*c**2 + l*c + q and give a.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41304252621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26324 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/4)\/(r\/r**3))\/(r\/r**(1\/3))**(-6\/5))**(15\/4) assuming r is positive.\nAnswer: r**(123\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*s + 1 + 539*s - 1620*s - 1 + 539*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-157)\/120 - (-18)\/(-45) and 121\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 14. Calculate the highest common factor of 50 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 j when four letters picked without replacement from fjjjnffjnfnfnnjnjfjp?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14523 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 83592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72328\/(-90410)*(-30)\/4*(-78)\/9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -84402?\nAnswer: -843ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20 and 83\/250785192.\nAnswer: 1253925960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -7\/3*c - 1\/3*c**2 - 2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 8966\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by 545080?\nAnswer: -5\/13627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -94 and 428.284472.\nAnswer: 334.284472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 38\/7, 10, -11311, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39*-70.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -772 + 837. Solve 0 = m + 12*m - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3154? (a) -5 (b) 0.4 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-121)\/(-1089))\/((-3)\/36). Which is the closest to -0.1? (a) -0.4 (b) g (c) 101\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788835 is divided by 126765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 0, 2*v - 16 = -3*v - 3*b. Suppose -n - 4*c - 20 = -v*n, 0 = 2*n + 2*c - 10. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355001 is divided by 1099?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39993 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(22)*-1 + sqrt(22))\/(sqrt(99) - sqrt(99)*-1)*6)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 - -215. What is the nearest to -0.2 in 8\/7, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*z - 6 = 0, 4*z = -s + z + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {u: 1, h: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 3*f - 2*f + (4 + 2 + 1)*(-18 - 13 + 1)*(-5 + 2*f + 5) to o*f + q and give o.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 17) + 8 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - -128. Suppose -w = -10*z + 345. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/28 - 208\/(-56). Suppose 0 = 5*a + 23 - 3. Sort a, -3, i.\nAnswer: a, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (64 - 2) + (2 - 1). Suppose -4*b + 13 + c = 0. Suppose -29 - b = -4*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 5 - (0 + 0). Let b be (-2)\/8 - (-123)\/g. Let d be 12\/(-66) + b\/(-110). Sort d, -3, 0.4 in decreasing order.\nAnswer: 0.4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -38. Suppose 32*c - 31*c - 84 = d. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1990 + -1150. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 - 2005*j**2 + 266400*j - 11715840 = 0. Calculate j.\nAnswer: 113, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 8) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1364 and 4?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -408 - -404. Sort 155, g, 2\/7 in decreasing order.\nAnswer: 155, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -27, -35.8, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + 0 - -6. Let o(h) = 11*h + 6. Let i(v) = v + 1. Suppose 5*c = 162*x - 157*x - 40, 0 = 2*x - 14. What is b*i(r) + c*o(r)?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s)**5*((s\/(s\/(s*s**(-1)*s*s*s)))\/s)**(-2\/57)*s**(2\/11)\/s**(-2\/3)*s**(3\/4)*(s*s\/s**(-6))\/s*s assuming s is positive.\nAnswer: s**(280139\/17556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1))**(-11))**(-4))**(22\/7) assuming d is positive.\nAnswer: d**(-968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - t - 22 = 0, 3*l = 2*l + 4*t + 11. Let h = 1515 + -1510. Solve 0 = h*f - 20, -2*f = 4*c - l*f + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 1040.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 7*b**2 - 3*b - 4. Give a(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -47*d**4 + 181*d**3 - 198*d**2 + 20*d - 12. Let a(o) = -23*o**4 + 91*o**3 - 99*o**2 + 5*o - 6. Let w(x) = -7*a(x) + 4*p(x). Factor w(t).\nAnswer: -3*(t - 1)**3*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 + -2.698751. What is a rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47147 greater than or equal to 47153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024272557 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39*(-14)\/(-1092)*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m - 168 = 0. Let k = m + -54. Calculate the common denominator of -41\/20 and k\/60*3*(-38)\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + (79 - (8 + 166)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 18. Let u be n(3). Let r(c) = -c**3 + c. Let q(k) = 2*k**3 - 2*k**2 - 3*k + 1. What is u*r(t) + q(t)?\nAnswer: -t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35269.44105 rounded to the nearest ten?\nAnswer: -35270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 855 = -x - 5*z, 2*x - 354 = -4*z. Let o = -16 + 38. Calculate the remainder when x is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 + 368*c**4 + 576*c**3 - 19656*c**2 + 64260*c - 60264 = 0. What is c?\nAnswer: -9, 2, 3, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-r + 2*r + 0*r) - 2*r + 2*r + r + 5*r - 3 + 3 - 4*r - r + 3*r + r + 0*r + 0*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*(2 - 0). Suppose 0*x = 2*h + 4*x + 16, -h - x - 4 = 0. Let k(v) = -z*v - 3*v + 3 + h*v + v**2. Calculate k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-57)\/76)\/(-3))\/((-3)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 10. Let s(h) = 39*h + 66. Let l(y) = 7*y + 12. Let c(n) = 11*l(n) - 2*s(n). Give -3*c(p) + x(p).\nAnswer: p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 10*p - 4 = 0. Suppose 7 = 3*z + p. Suppose 2*c = 2, z*x + 5*c = 1 + 226. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552 + 2 - (1 - 9)*1.\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103, -209, -305, -385, -443, -473?\n\"Answer: r**3 - r**2 - 110*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3493 - 3259 = -13*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 1, x: 1}. Give prob of picking 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -514 (base 15) to base 6.\nAnswer: -5144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/6 - 13*c**4\/3 - 59*c**3\/6 + 38*c**2\/3 + 110*c\/3 + 56\/3 = 0. Calculate c.\nAnswer: -2, -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 3254?\nAnswer: 19524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1105 and 6005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 20, 39?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -24\/5*z + 9\/5*z**3 - 16\/5 + 31\/5*z**2 = 0. Calculate z.\nAnswer: -4, -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 0*n - 2*n - 22*n + 7*n - 25*n + (1 - 2 + 3)*(n + n - 3*n) + 3*n - 3*n - 3*n as k + p*n and give p.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -764, -1458, -2126, -2756, -3336?\n\"Answer: 2*s**3 + s**2 - 711*s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 551920712 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1014804 (b) 0.02 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85837192*z**2 - 151208392.\nAnswer: -171674384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 9 = -o. Let h = o - 13. Solve -4*y - 2*k = -3*k + 5, h = 2*y - k + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**7\/6720 - d**6\/2880 + 94*d**3\/3 + 35*d. Let b(f) be the second derivative of m(f). Determine p, given that b(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2628*t**2 - 8*t + 1. Let k be w(2). Suppose -4*l - 2*j + 33678 = 0, -5*j - k = -3*l + 14755. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*(-20)\/135?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10456978459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*b + 11, -15*b + 9 = c + 66 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 10 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4461*a + 128. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354 and 1062944.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-21 - -28) + -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 1, f: 4, b: 8, e: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -375 (base 12) to base 5\nAnswer: -4041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p**(1\/2)*p*p)**48\/(p\/p**(2\/19)*p\/(p\/p**(2\/3)*p)*p*(p**1)**(1\/33)) assuming p is positive.\nAnswer: p**(224722\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8 = b, 0*z = z + 5*b - 26 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:05 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times -11\nAnswer: 6.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:19 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49165745 rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4528 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 539, 538, 537?\n\"Answer: -t + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 232?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.084 + 0.916. What is the smallest value in 0.3, h, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/30 + 85*x**4\/24 + 269*x**3\/6 - 251*x**2. Differentiate p(y) wrt y.\nAnswer: -4*y + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-45) + (586\/45 - 22\/99).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*2)\/((-17)\/(119\/1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rgo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 3:44 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 30. Let l be t(0). Let c be (-1 - 5)*-6*(-266)\/(-315). Let p = c + l. Is -0.4 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (42\/280)\/(9\/(-5)) and (-201)\/4*2\/27?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**2 - 2*v**4 - 138 + 138 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -11. Let i be ((-3)\/(-7))\/(2\/u). Let q = 0.96 + -1.36. Which is the closest to i? (a) -5 (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (51\/(-10) + 5)*-4. Put 1\/2, 2\/7, u, 3 in descending order.\nAnswer: 3, 1\/2, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = -x + 10, 0 = x + 2*h - 10. Suppose 0 = 5*d - 6 - 4. Let a be x*((4 - 1) + (0 - d)). Put -1, 0.2, -0.1, a in descending order.\nAnswer: a, 0.2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102.3 - 4.3. Let s = -102.1 + r. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 33 = 4*y - 3*y, -4*x + 4*y + 68 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -4 - (-5 + -2). Let u be 168\/30 - j\/(-10). Find the third derivative of -7*o**2 + 2*o**2 - 34*o**u + 31*o**6 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*d - 3. Let u be -6*(-6)\/18*(-5)\/(-2). Suppose d - 4 = g, -u*g = 5*p - 20. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1110, 2266, 3454, 4674?\nAnswer: 5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-112 + 15*g**2 + 112)*((3 - 3 - 3)*(-4 + 1 + 5) - 23 + 10 + 5) as c*g + o + y*g**2 and give y.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103\/4 + 26. Let l(q) be the second derivative of 1\/12*q**3 + p*q**2 - 1\/24*q**4 - q + 0 - 1\/40*q**5. Factor l(c).\nAnswer: -(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3ac (base 15) to base 13.\nAnswer: 12987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.5 and -17.\nAnswer: 76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 - 0.27. Let r = o + 0.1. Let z = -4 - -4.4. What is the second smallest value in r, z, -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (10 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:17 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13738, -27475, -41212, -54949, -68686?\nAnswer: -82423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 1\/2. Suppose -3*w - f = -4*f - 54, k = -3*w - 4*f + 54. What is the least common multiple of 36\/(-14)*266\/(-57) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10347.52 to the nearest 100.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.63 - -2.63. Let m = -22 - -17. Let j be (-2)\/5*3\/(-6). What is the nearest to 0 in j, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 11 = 3*m, -7*m + 5*m = l - 4. Put l, 0, 5, -4 in decreasing order.\nAnswer: 5, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 - -4.29. Let b = l - 1.5. Suppose 7*x + 3*z - 16 = 11*x, -3*x = -3*z + 15. What is the third biggest value in x, 4, 4\/11, b?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - -4 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -0.25 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 1536.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4430 and 203180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 + -3.17. Sort -0.1, 10\/11, b in descending order.\nAnswer: 10\/11, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 3*l - 17*l + 7*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214223 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -222.91. Which is greater: 0.3 or o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175\/57 - -3445\/456. Find the common denominator of (-3789)\/630 + (-2)\/10 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 54\/7, -2, 58, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 244*l**3\/3 - 2032. Let h(n) = -25*n. Determine f(h(y)).\nAnswer: 152500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228 - i + 612 + 616.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 7:21 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 9*q**2 + 20*q + 97. Let i be v(-11). What is i rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -602161\/24 - -25085. Calculate the common denominator of a and -63\/860.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1107174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 12, -38*h + 39*h + 23 = 5*a - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3, -3811862?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265645 + 9*c - 531266 + 265621.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16411.01355 + -31.\nAnswer: -16442.01355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34234\/7665 + 1\/2555. Calculate the common denominator of -22\/15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b0b085b7 + 2?\nAnswer: -3b0b085b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40000 = -17137*o + 17537*o for o.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14867657 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 489*m - 40153. Determine q(82).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384195899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419154700 by 5.\nAnswer: -83830940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 45220\/3987?\nAnswer: 45220\/3987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 597*i + 17557. Determine m(-27).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-744)\/(-88) - 14\/2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 16*l - 912. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 7*i - 6. Let g be s(-9). Let z be ((-18)\/15)\/(-3) + 16\/10. Solve 0 = -z*t - t - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-14 + 8 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 2*g - 2. Let s(b) = b**3 + 5*b**2 + 4*b + 3. Let t be s(-4). Let u = -4 + 4. Let l = t + u. What is p(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Is 0.3 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -18. Let x = m + -5. Let d be (-21)\/(-12) + x\/8. Solve -q - d*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 691 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -19. Suppose -4*s + b = 30. Let h = -16 - -16.4. Put -4, h, s in decreasing order.\nAnswer: h, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -275*i**3 - 18*i + 711. Let a(p) = -1374*p**3 - 96*p + 3554. Let k(o) = 3*a(o) - 16*q(o). Find the first derivative of k(l) wrt l.\nAnswer: 834*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244 + 23?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 46. Suppose 0 = m - j - d, 25 = m + j + 8. Solve 2*c + m = 6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n**3 + 2*n**2 + n. Determine d(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/16 (b) -0.1 (c) -3\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11820 divided by -3940\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 + 13525*u + 27070 = 0.\nAnswer: -2, 2707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/27 and -173\/1140.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (92 + 0 + 4)\/((-9)\/(-6)). Suppose j = -0*f + 2*f. Let p = f - -150. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/363, -1\/2, -938.\nAnswer: -938, -1\/2, -1\/363, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0.9, -22.41?\nAnswer: -22.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/16)\/(111\/(-1184)))\/((-2)\/3)*11?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345357560 to the power of 1\/2, to the nearest integer?\nAnswer: 18584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1521.6 - 1521.8. Which is the closest to -1\/6? (a) 2 (b) -0.4 (c) 5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3544 - 104*s + 3544 in the form k*s + r and give k.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 4, z: 2, k: 1, g: 3, o: 3}. Give prob of sequence koho.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/5)*g\/(g\/g**(-10)*g)*g)**(1\/15) assuming g is positive.\nAnswer: g**(-46\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23684, -23683, -23682?\n\"Answer: a - 23685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0.2, 9, 1, 4, 23, 117 in increasing order.\nAnswer: 0.02, 0.2, 1, 4, 9, 23, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2882717, -2882715, -2882713, -2882711, -2882709, -2882707?\nAnswer: -2882705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 3*o - 213. What is the remainder when 284 is divided by s(-21)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -0.4 (c) -0.08 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -0.1 (c) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r + 13312 = 9*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(156) + sqrt(156))*-4)\/(sqrt(1452)*-1 + sqrt(12)))**2 - (2 + sqrt(1573)*2 + sqrt(1573))*4.\nAnswer: -132*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 minus -14.6?\nAnswer: -434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/((u**(-1\/2)\/u)\/u))*u**3)**(-30)\/((u**(2\/23)\/(u*u**(-4)*u*u))\/((u**(-3)*u)\/u**(-2\/3))) assuming u is positive.\nAnswer: u**(-5342\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 24734, -2\/11, 0, -8\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43936805 to the power of 1\/2, to the nearest integer?\nAnswer: 6628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 10. Let r = 2 + 1. Suppose -2*k + r*j = 1 - 6, 3*k = 4*j + p. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.88 times -370?\nAnswer: -1065.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.016 - 0.017. Let s = c - 2.999. Let p be -4*(-1 + (-2)\/(-8)). Sort p, s, -1.\nAnswer: s, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -336*p + 4. Let s be l(-2). Find the second derivative of -s*z**3 - 21*z + 676*z**3 + 33*z**4 wrt z.\nAnswer: 396*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + 5187*m + 15495. Determine h(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16174 + 38882. What are the prime factors of n?\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 601 - 599.876. Let w = p - 1.38. What is w rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 28*d + 26*d = -6, 0 = 4*y - 100*d - 29*d - 403 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1406237, -2812487, -4218737, -5624987?\nAnswer: -7031237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-5) - (-1)\/(-5). Suppose z*u - 3*a - 63 = -2*a, 12 = 2*u + 4*a. Suppose 7*j - 131 - 57 = 3*j. Calculate the remainder when j is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 203*z**4\/2 - 239*z**2\/2 + 366. What is the second derivative of u(p) wrt p?\nAnswer: 2436*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*((-2*sqrt(390) - sqrt(390))\/sqrt(10))\/(sqrt(6)\/sqrt(2)*-1 - sqrt(3)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(128) - (sqrt(128) + (sqrt(128) - (sqrt(128) + -1*sqrt(128))))) + -4)**2 - (sqrt(128)*2*3)**2).\nAnswer: -384*sqrt(2) + 26784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-19 - 2 - (22 + -31 + 21))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*v = 4*u - 160*v + 5, -5*u + 3*v = 2. Let f = 4 - 3. Let k(s) = -5*s**2 + 1. Let o be k(-1). Sort o, u, f.\nAnswer: o, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 71*d - 288. Calculate p(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-40)\/(t*(t**28\/t)\/t))\/(t**(-23\/5))**(1\/7) assuming t is positive.\nAnswer: t**(-2322\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0153573125 - 3.\nAnswer: -3.0153573125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*u + 5*u + m, m = 2. Let x(g) = g**3 + 5*g**2 + 3*g + 3. Let c be x(-4). Suppose c*v - u*v = -4. Is -5\/4 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 23 = 3*j + 4*l, -3*l = 3*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - ((3 - 3) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*c*j**3*o + 7*c*j**2*o + 10*c*o**3 - 2*c*o + 6618*j**3*o**3 - 880*o**3 wrt j.\nAnswer: -426*c*o + 39708*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -91, -3, 2\/11?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 25 = 9*z. Suppose 4*o + z = 5*d, -o + 12 = 5*d - 18. Suppose o*j = -2*n + n - 3725, 2*j - 18706 = 5*n. What is n rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1088?\nAnswer: -5440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161344 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/125093400 and 17\/10007472.\nAnswer: 250186800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/120 - w**5\/20 - w**4\/24 + w**3\/3 + 3*w**2. Determine t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8931 + 11877. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + g + 13 = 0, 0 = g - 3. Put l, 5, 253 in decreasing order.\nAnswer: 253, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4 and 4850\/20*1\/(-35).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t - 7*t - 2*t in the form a + r*t and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 12. Let p be d(-10). Let x be (p\/(-7))\/((-1)\/7). Solve f = -x*g + 7, 5*g + 6 = g + 2*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 18*i - 69. Let h be f(-12). Suppose -3 = 2*k - 9. Solve -6*g + 3*g = -k*x - 6, -8 = x - h*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 468.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.56, 0.5, 1.3?\nAnswer: -3.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c - 537. Let v be x(0). Let s = v - -897. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14410 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43752, -87505, -131258, -175011?\n\"Answer: -43753*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39671, 39687, 39703?\nAnswer: 39719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6508447 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5\/c)\/(c**(-7)*c))\/((c\/c**(-4))\/(c\/c**(-6))) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 3.195522.\nAnswer: 19.173132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*g = 8, -y + g + 10 - 1 = 0. What is the smallest value in -4, 4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - -421?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbbtybbbtbgtct. What is prob of picking 1 b and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97 and 10.\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270626969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 80 - 8. Let h be ((-1)\/(3\/r))\/(-1). Let g = h + 33. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8 = 2*o + 4*t, -3*t = 12. Suppose -d + 5*s = 2*d - 76, -2*d + 46 = -s. Suppose -26 = -o*a + d. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1014, -1013, -1004, -981, -938?\n\"Answer: r**3 - 2*r**2 - 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*z + 65, 4*z = -a + 49 - 41. Calculate the greatest common divisor of 180 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 3*t + 3. Let u(b) = 2*b**2 - 7*b - 7. What is -2*u(v) - 5*w(v)?\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*r + 54428 = 608 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/2 + 9*w**2 - 4*w.\nAnswer: w*(w + 4)*(5*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 839.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2053*t**3 - 2*t**2 + t**2 - 2123*t**3 wrt t?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3411 + -43?\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h**2 - h - 1. Give k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10388076 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -22 (b) 3\/4 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-5)\/(-160))\/3*-2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.31 + -8.31. Let n = -5 + 7. Put z, 0.5, n in decreasing order.\nAnswer: n, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 + -384. Which is the nearest to 0? (a) n (b) 2\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l*x**2 + 12*l*x - 1114735*l + 7*x**2 - 108*x wrt x.\nAnswer: -10*l*x + 12*l + 14*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 487 = 8*b. Calculate the remainder when b is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 202*b + 33816. Calculate g(190).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g + 88. Let s = -11 - g. Let v = 22 - s. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 + 3*d - 3. Let f(w) = 4*w**3 + 10*w**2 - 10*w + 10. Suppose 2 = b + 2*i - 4*i, -5*b + 3*i = -38. Calculate b*n(l) + 3*f(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 19547?\nAnswer: 19542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -22. Let z be 0*(0 + -1 + 10\/15). Suppose q*v + z*v = 66. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -14*r - 25. Give a(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.5, 57823, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -614.38 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1706215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 19*n - 11. Give y(5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 117 - 123 = 0. What is the greatest common divisor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/70)\/((-3)\/14). What are the prime factors of 133\/(-35) + z + (-48)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4746 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-85)\/(-25) + (-1)\/((-10)\/(-4)). Suppose 30*z - 32*z = 0. Solve z = 3*b - 9, -3*b + 5 = -v + q*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6379916 divided by -13\nAnswer: 6379916\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15791.5728 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g - 4*q - 14, -g + q = 6. Let c = 13 + -20. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7270*a**2 - 218*a + 19. Let g(l) = -1818*l**2 - 55*l + 5. Let j(z) = 9*g(z) - 2*m(z). What is the second derivative of j(p) wrt p?\nAnswer: -3644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*k - 60, 0 = 5*y - 4 - 11. Suppose 3*p - j = 161, k*p - 4*p = 2*j + 269. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*q + 6, 2*a + 3*q = 63. Suppose -t - 2*t + 336 = 0. What is the highest common factor of a and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 30 (c) -0.1 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3535\/582 - -9\/97. Find the common denominator of -4\/21 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*o**5*z - 851*o**3*z + 2*o**2 + 546*o*z - 5 wrt o?\nAnswer: -900*o**2*z - 5106*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:30 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 5*o + 48 - 30)*(-3*o**2 - 39 - o**2 + 37 + 4*o) in the form s*o**2 + t + g*o + p*o**3 and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33616 and 444.\nAnswer: 3731376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.7. Let y = -7892101\/85 - -92847. Let w = -11\/17 - y. What is the second smallest value in u, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 129600\/2088 + 4\/(-58)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (102*d**2 - 102*d**2 - 8*d**3 + (81*d - 76*d**3 - 81*d)*(-1 - 1 + 1))*(0 - 2 + 1) as c*d + i*d**2 + u + k*d**3 and give k.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - 2a8?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 299, -1, 0, 1.29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -30. Let b = g - -31. Suppose 4*x = i, -5*i = -b*x - 4*i + 2. Is 16 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468664805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19189434 - 0.038?\nAnswer: -19189434.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -592483\/3 + 228117328\/1155. Let z = 246\/35 - q. Find the common denominator of z and -13\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 12*x - 27. Let n be 4*(-1035)\/300 - (12\/(-15) + 0). What is a(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 93 = u + 25, 5*u + 5*c - 280 = 0. Let t = 46 - 26. What is the remainder when u is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-75) - 3\/15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919267 is divided by 365?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 115*t**2 - 224*t - 185. What is the common denominator of 93\/94 and q(113)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 2\/3 (c) 1 (d) 1118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.173 + 84.227. Let k = h + -87.4. What is the second biggest value in 0.18, 1\/7, k, 1\/3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 5317, 13922, 25959, 41422?\nAnswer: 60305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9526.\nAnswer: 2, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/90)\/(((-6972)\/(-83))\/42).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7178 - 8?\nAnswer: 7170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 8*q**2)*(-10*q**3 + 0*q**3 + 0*q**3).\nAnswer: -80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {s: 2, g: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 107. Suppose -19*x + q = -11*x. Suppose x*o = 5, -2*o = 5*y - 897 - 1320. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 2834996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -197, -196, -193, -188?\n\"Answer: n**2 - 2*n - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 1 - 2104*b**3 + 0 - 22*b + 1 + 2117*b**3 in the form j*b**2 + v + u*b**3 + z*b and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 10*n**2 + 10*n + 12. Let f be c(9). List the prime factors of (-6)\/f - (-5365)\/35.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660130, -1320256, -1980382, -2640508, -3300634?\nAnswer: -3960760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2517268, -10069059, -22655376, -40276219, -62931588, -90621483?\n\"Answer: -2517263*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/45 - 4\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -934.74 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 3. Suppose 423*m - 234 = -1080. Let d(l) = -2*l. Give m*n(h) + 6*d(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173798307*d**2*s + 11*d*s - 17*d + 122*s + 64 wrt d.\nAnswer: 347596614*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 687 + 826. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/1260 and -121\/5640210.\nAnswer: 78962940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02217336173 to five decimal places.\nAnswer: -0.02217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.3013l to millilitres.\nAnswer: 95301.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -122.999582. What is b rounded to 5 decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, l - 2*d = 6*l - 1284. Let k(q) = -134*q + l*q - 124*q - 14*q**2. Let x(b) = 8*b**2. What is k(x(z))?\nAnswer: -896*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.939 - -0.039. Let z = 2.5 + p. Which is the nearest to z? (a) -0.3 (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 23*g - 8. Let s be b(7). Suppose 6*u - u = -o - 21, o + s = -2*u. Suppose -4*x + 50 = 3*i, o*i + i + x - 72 = 0. Solve 3*h - i = 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 8.15?\nAnswer: -24.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 204.813 * -1\nAnswer: -204.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*((5*i - 5*i - 7*i**3)*(-5 + 2 + 4) - i + i + 2*i**3) to the form d*i**2 + l*i**3 + h + v*i and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 524\/3*y**3 + 0 + 4\/3*y**5 + 160*y + 104\/3*y**4 + 904\/3*y**2 = 0. Calculate y.\nAnswer: -20, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.228 + -2.772. Which is the third smallest value? (a) 5 (b) f (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 + 6*w + 16. What is x(-6)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*h - 85*h + 8*h**2 - 80*h - 20*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -1\/21*n**3 + 0*n**2 - 82 + 16\/7*n. Factor z(f).\nAnswer: -(f - 4)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171.3 - 172. Let q = j - 1.3. What is the closest to q in 1, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let t = s - 4. Which is smaller: -4\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4933?\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1. Let k(o) = 15*o - 6. Suppose 0 = -20*n + 130 - 57 - 153. What is n*v(w) - k(w)?\nAnswer: -15*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4799392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370572*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 35\/((-15120)\/(-10422)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*r = 12 - 4, 24 = -5*m + r. Put m, 3, 0 in ascending order.\nAnswer: m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -1 - (-96 + 77)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.937 - -0.063. Let g = y + -40. Which is the closest to 1\/2? (a) g (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -127, -257, -389, -523, -659, -797, -937?\n\"Answer: -c**2 - 127*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 9. Determine k(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from lalfaaa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1dc (base 16) to base 11\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*p**3 - 659*p**3 + 3 + 39*p**2 + 85*p**2.\nAnswer: 6*p**3 + 124*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 26 (b) -0.3 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/(0 + -1 - 1). Let v = 79 + -43. Is v smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1746578, 1746576, 1746582, 1746602, 1746642?\n\"Answer: q**3 - 2*q**2 - 3*q + 1746582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 4625.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46497 is divided by 7748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11323998 and 75852.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**6\/12 - a**5\/5 + 5*a**4\/8 + 5*a**3\/3 - a**2 - 4*a + 60. Solve w(z) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1621*g**2*q**2 - 85*g*n + n*q + 9*n - 163*q**2 - 14 wrt g.\nAnswer: -3242*g*q**2 - 85*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48157169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/157 (b) 0 (c) 15 (d) -4 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Suppose 4*d - 19 = -3*p, -5*p + h*d = -4*p - 13. Suppose -13 = -m + 31. Calculate the remainder when m is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 14*s - 96 = 0. Suppose 3*z = -2*g - 2, 3*g = 5*z + s - 8. Suppose 22 = -g*q + 3*q. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16213, -16352, -16685, -17302, -18293, -19748, -21757, -24410?\nAnswer: -27797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**9\/168 + 13*x**5\/30 + 5*x**2. Find the third derivative of a(q) wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 159*s**2 - 60*s - 9547. Give r(-159).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.7 (b) -4841 (c) -1 (d) -0.07 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 + 9434044*l**2 - 320760964*l + 2726478020 = 0. Calculate l.\nAnswer: -2358545, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*u + 5 = 3*c, -3*u = -4*c + 1. Let s be -2 - (c + -8 - 3). Solve 3*b - 2*b = s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4731, -9353, -13987, -18639, -23315, -28021, -32763?\n\"Answer: -c**3 - 4615*c - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -121\/80 + 153\/80. Factor -o*i**2 + 11\/5*i + 21\/5.\nAnswer: -(i - 7)*(2*i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w = 3174 - 3279 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3445 - -0.334. Let d = x - 4.9895. What is the biggest value in 42, -1, d?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 11:26 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) + 515\/(-25). What is the units digit of ((-7)\/g)\/(2\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74\/7 + -437\/42. Let i be -2 + 0 - 0\/3. Let h = 126 - 123. Which is the nearest to 1? (a) h (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.393. Let g = t + 0.053. Let w = 0.04599963 - g. Round w to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -118*z + 2. Let x be d(-9). Suppose 4*v = -0*v + x. Suppose -v = -2*l - 2*s, 0*s = 3*l - 3*s - 387. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 123*a**2 - 149*a + 286. What is the units digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.66 - -11.660012775. What is p rounded to 7 dps?\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501264 divided by 16?\nAnswer: 93829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -35 - (-3 - 16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3808 = 12*r. Let f = -308 - r. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (5 + 12 + (-11 - 18))) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:25 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chcaah. What is prob of picking 1 a and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1032*n**2 + 6*n - 2077*n**2 - 2 + 1038*n**2 + (-6*n + 3*n + n)*(2*n - 7*n + 2*n).\nAnswer: -n**2 + 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:32 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6)*(8 + -4). What is the nearest to 1\/3 in 0.3, 5, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35645537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/(w*w\/(w\/(w\/w**(-2)*w))*w*w))\/(w**1)**(1\/56))\/(w**2\/(w\/(w\/((w**(2\/3)\/w)\/w))))**(-2\/17) assuming w is positive.\nAnswer: w**(-21779\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 10*h**2 + 11*h - 1. Suppose -i - 6 - 2 = 0. Let t = i - -13. What is the remainder when s(9) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16245449 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 1. Let n be m(1). What are the prime factors of 10 + n + (-2 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-24)\/95 + (-17)\/(-85))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -24)\/(4\/(-10)*70\/(-28)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4135\/4361 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420\/60*(97*2)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 2*k + 1. Determine x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057))*1 + sqrt(2057)*-3 + -4 + (5 + -2 + sqrt(2057))*-5 + -3)**2*3.\nAnswer: 10164*sqrt(17) + 303831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 77521887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - d = 12, 3*z - 55 = -2*z + 4*d. What is the third derivative of -2*n**5 + 5*n**2 + 12*n**5 - z*n**5 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/17, 6, -2\/5, 2\/7, 416, 1.9, 17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 86 + 782*m + 308*m + 31*m - 159*m.\nAnswer: 962*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1433 + -56834?\nAnswer: -55401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403.61 - 3.39. Let g = v + 410. What is the third biggest value in -1, -3, g, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000606 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2707, 5307, 7901, 10489, 13071?\n\"Answer: -3*l**2 + 2609*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11849 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13168 is divided by 166?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p*p**(1\/5)))\/p)*(p\/p**13)\/p*((p*((p\/(p**1*p))\/p)\/p*p)\/p)**2)**(-15) assuming p is positive.\nAnswer: p**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60011316 to the power of 1\/2, to the nearest integer?\nAnswer: 7747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 36. Let r(c) = -2*c + 66. Calculate the remainder when r(q) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 11. Let u(v) = 2*v + 10. Let q(s) = 6*k(s) - 7*u(s). Let a be q(4). Let d be (-2 + a\/3)*1. Solve -d*c - c + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:55 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 15 = l, -2 = d - 2*l. Suppose 0*b = -2*b + d. Find y such that 5*y**b + 3 + 0 - 1 + 7*y = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 6. Let n be z(0). Let i be n\/2*(-4)\/(-3). Suppose i*a + 5 = -u, 5*a = -0*u - 2*u + 2. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77866 - 66305 = -17*a - 2391. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.21. Let c = d - 5.17. Suppose -3*b + 4 + 2 = 0. What is the smallest value in c, 6\/5, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 5 - 27. Suppose 3*p - 15 = -v + 8*p, -j*v + p = -3. Determine u so that 0*u + 0*u**3 + 2\/9*u**2 + v - 2\/9*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2211592 = -6896*f - 11287*f - 13148*f - 482874 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 10*c - 13. Let y(f) = -13*f**2 - 40*f + 53. Let l(w) = 9*u(w) + 2*y(w). Let o be l(-12). Which is smaller: o or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*u + k, -3*u = -2*k + 5 - 39. Let b(d) = -8*d - u*d - 17*d + 30*d. Let m(y) = 2*y**2. What is m(b(a))?\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -11. Let l be (-10326)\/(-4)*v\/12. Let n = l - 2179. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 5. Suppose -44 = -2*k - 4*l, -2*k + 5*l = -11 + 3. Let r be (k\/4)\/(g\/(-32)). Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -14, 6, 20, 28, 30, 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2)\/(-2) - -1. Let k(g) = 248*g + 739. Let u be k(-3). Which is the nearest to -2\/7? (a) r (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l + 2. Let g be u(3). Let t(w) = -w**2 + 2*w + 29. Let s be t(10). Let c = s - g. Solve -c*a - 3*q = -7, -q = 4*a - 0*q + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -191662, -383259, -574856?\n\"Answer: -191597*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 - 2*g - 3. Let p be j(-4). Suppose y + 3 - p = 0. Solve -12 = y*w + w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419084 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1340.9341 + 1341. Let w = s + -0.036. What is w rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24759*k**4*n + k**3*n - 15*k**2*n - 20*k**2 + k - 3*n wrt k.\nAnswer: -594216*k*n + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381.47 + -386.47. What is the third smallest value in 0, -0.0007, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145\/4 + -36. Suppose 2*d - 232 + 34 = 0. Let q = d + -393\/4. Which is the closest to 0? (a) 0 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - 1.25. What is the second biggest value in 2\/5, 0, 1\/2, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 3*p + 2, 2*b - 8 = 0. Let x(s) = -6*s - 9 + 29 + 3*s + 3*s**2 - s**p. Is x(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 87*d**2 + 153*d - 243.\nAnswer: 3*(d - 1)*(d + 3)*(d + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d + -a8589?\nAnswer: -a854b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -129325.46622 minus 0.17747?\nAnswer: -129325.64369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2716167?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4 + 4*m**4 - 2*m**4 + 5*m**2 + 0*m**2 wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*y + 13*y + 5*y**2)*(169*y**2 - 4450*y + 4450*y) in the form v*y**3 + a*y**2 + q*y**4 + g + x*y and give q.\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -299, -4813, -17069, -40937, -80287, -138989?\n\"Answer: -645*m**3 - m**2 + 4*m + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 33*u**2 - 29*u - 44. Calculate the remainder when 463 is divided by l(32).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13)*c*c**8)**(-13) assuming c is positive.\nAnswer: c**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 3*v, v + 1 + 1 = 5*s. Let p(u) = u**2 + 1. Determine p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 197212*w**4 + 17*w**2 - 3199170?\nAnswer: 788848*w**3 + 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 65.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) - 105\/10. Let v be (c - (1 + 0))\/2. Let s = -31\/285 - -1\/114. Sort 3, v, s in decreasing order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/32 + (-1)\/4. Suppose 4*c = -5*n + 1, g = 5*c - 5*n + 3*n - 26. Suppose -c*j = 3*f - 4*f + 13, 11 = -4*j - f. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -124*h - 727. Let q be a(-6). Let b = -7 + 10. What is the greatest common divisor of b and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 - -453\/2. Let o = -4\/85 + 262\/1955. Which is the second biggest value? (a) 0.2 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -782 by -6.\nAnswer: 391\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 12*k**2 - 28*k + 12. What is the smallest common multiple of 28 and l(-14)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t = 55. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 12*n**2 + 1. Let g be u(6). Let i(d) = -6 + d**3 - 2*d**2 + 2 - d + g. Determine i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210202021120202 (base 3) to base 2.\nAnswer: 101100000110001000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 2*s = 25*b, 10 = 2*b + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71d7 + -6c?\nAnswer: -7265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52280 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5\/3 - 16*n**4\/3 + 92*n**3\/3 + 152*n**2\/3 - 880*n\/3 + 800\/3.\nAnswer: -4*(n - 2)**3*(n + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/6)\/(((-76)\/(-744))\/(-19)). Put 5, 0, h in decreasing order.\nAnswer: h, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110631.611 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 4. Let q(t) = -t + 1. Let a(r) = 3*q(r) - y(r). Suppose 0 = 2*s + v - 37, 5 = -4*s + 5*v + 44. Let m be (20\/s)\/(1\/4). Give a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.184 - 68.184. Let u = 80 + o. What is the closest to u in 0.3, 0.5, 3\/4, -2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5\/(-20)*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-632)\/869 + 4\/(-10) + (-14729)\/(-1760).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 50928*u\/7 - 324207648\/7.\nAnswer: -2*(u + 12732)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - b - 10652 = 0, -10*b = 2*y - 9*b - 7098. List the prime factors of y.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/30 + 1\/(-12). Let t(y) be the third derivative of -1\/10*y**3 + 1\/300*y**5 + 4*y**2 + 0*y + 0 - g*y**4. Factor t(f).\nAnswer: (f - 3)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 5, -0.2, 0.5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 34. Suppose -5*q = 2*f - j, 3*q + f = -3*f + 26. Suppose 4*s - 6 = q*s. Solve 0 = s*n - 15 - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(200))**2 + sqrt(200)) - (-1 + sqrt(200) + (sqrt(200)*-2 - sqrt(200)) + sqrt(200)).\nAnswer: -2399 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7250, -7560, -7874, -8192?\nAnswer: -8514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11561 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/x**(-1\/27))\/x)\/x)\/((x\/x**(2\/83))\/x))**(-1\/3))**(7\/2) assuming x is positive.\nAnswer: x**(-959\/13446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**0*k)\/((k**22*k)\/k) assuming k is positive.\nAnswer: k**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 4*a**2 - a + 3. Let j be k(-2). Solve -3*r + j*q + 17 = 0, r + 2 = -4*q - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 43698.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992923, -992944, -992985, -993052, -993151, -993288, -993469?\nAnswer: -993700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63410281931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -28 (b) 1\/4 (c) 3 (d) -44\/123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 7200*b**3 + 1146064*b**2 - 4497984*b + 4469248 = 0. Calculate b.\nAnswer: 2, 172, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -2*o - 30. Suppose 2*h - w - 67 = 0, -o*w - 125 = h - 5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 6) to base 16\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 8. Is 303 - -11 - ((0 - a) + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 218 - 88 = 0. Let f(k) = 19*k**2 - k. Let r be f(-1). Let m = s - r. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 7) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 - -324. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -9. Let j = -777226.99986 - -777235. Let p = j - u. What is p rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82586889 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 126879 times -0.06?\nAnswer: -7612.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 52*s. Let u(a) = -190*a**2 - 15. What is x(u(v))?\nAnswer: -9880*v**2 - 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*w + 53, 0 = c + 23730*w - 23731*w - 2 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294*a**3*k**2 + 3*a**2*k**2 + 2*a*k + 14*k**2 wrt a.\nAnswer: 1764*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 - (1 + 2)) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*y - 15 = y, -7 = 3*k + 4*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:41 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -591 >= -621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3703 + 2957?\nAnswer: 6660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.1 - 75. Put 3, 6, g, -1\/4 in decreasing order.\nAnswer: 6, 3, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14008 (b) 3 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*b - 90 = 220*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -644903?\nAnswer: 644901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s + 4*s)*(-3 - s + 3) + 2 - 2*s**2 - 2 - 7*s + 2*s**2 + 7*s to the form d + b*s**2 + r*s and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 776\/72 - (-2)\/9. Solve -v = -3*p + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 = -4*w + 661. Suppose 0*f = -f + w. Suppose -2*c - 13 + 3 = 0, c - f = -5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 - 56*r - 472. Determine v(-12).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154.62 + -154. Let g = q - 0.92. Is g smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 196*p**2 + 23*p - 243. Let r(i) = -78*i**2 - 9*i + 97. What is 5*q(z) + 13*r(z)?\nAnswer: -34*z**2 - 2*z + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 5 + 16 + -24 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - -3*(-6)\/(-18). Suppose -h - 9 = -l*h. Suppose 20 + 1 = 3*v. Solve -x = -h*w, 0 = 5*w - 2 + v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2168)\/2439)\/((24\/810)\/((-2)\/3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5899201758178\/7755 + -760696530. Let j = r - 1\/2585. Find the common denominator of j and 70\/69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -128688\nAnswer: 128687.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 527363*t + 2 - 2.\nAnswer: 527363*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 + 4. Let f(p) = -15*p**2 + 9. Let j(d) = 4*f(d) - 9*z(d). Let n(w) = -19*w**2. Calculate j(n(a)).\nAnswer: 1083*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*g**2 + 197*g + 4 + 6*g**2 - 5.\nAnswer: 3*g**2 + 197*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.49796ml to litres.\nAnswer: 0.09849796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 3 - -22 - -56) + (0 - 6).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 66 = 2*r, -v = 2*r + 18 - 36. Calculate the remainder when v is divided by (-426)\/(-27) + 4\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -232\/127 (c) 3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129988 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: Solve 195*v + 12338 = -290*v + 8*v - 8650 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 464\/986*(-6)\/(72\/3)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m - 21 = -44*m + 2*k + 5*k - 6*k, -4*k = 2*m + 9*k - 23 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:52 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2*t + 8. Let u = t + -4. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 - 78*c**2\/11 - 280*c\/11.\nAnswer: -2*c*(c + 4)*(c + 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149 - 149. Suppose k*j = 13*j - 117. Solve -5*s + 1 + j = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2562.929 years to centuries.\nAnswer: 25.62929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 288*q - 14528. Give z(-65).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37903311, 75806626, 113709941?\nAnswer: 151613256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6208963 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 4*a**3 + 26*a**2 - 26*a**2 - 7)*(1 - 1 + a).\nAnswer: -2*a**5 - 4*a**4 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 1\/2, 20.\nAnswer: -1, -0.1, 1\/2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -1, -5192 in descending order.\nAnswer: -1, -4, -7, -5192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 4*l**2 + l - 2. Let m be y(-2). Put -2, m, 3, 10 in ascending order.\nAnswer: m, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 2. Let a = -25 + 25. Let x be f(a). Let d(k) = k**2 + k + 3. Let v(m) = -2*m**2 - 2*m - 5. Let u(h) = -5*d(h) - 3*v(h). What is u(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61096 rounded to three decimal places?\nAnswer: -0.611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**5 - 3*w**4 - 13*w**3. Let c(r) = r**5 + r**4 + 4*r**3. Let p = 35 - 28. Let g(k) = p*c(k) + 2*l(k). Find j, given that g(j) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63885 - -63889. Let o(r) = -r**3 - 2*r**2 + r + 1. Let q be o(-1). Let y be q\/2 - (-1)\/2. Which is the closest to y? (a) 1 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.7 - 63. Let w = n + -1.8. Let r = 5 + w. What is the smallest value in -1\/3, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16782467?\nAnswer: 13, 563, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3315, 6449, 9583, 12717, 15851, 18985?\n\"Answer: 3134*n + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 4, 0.4, 390, -4, -2\/7 in ascending order.\nAnswer: -4, -2\/7, 0.12, 0.4, 4, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12801 divided by 3\nAnswer: -4267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 + 1756. What is the units digit of i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*h*r**4 - h*r**2 + 3*h*r + r**4 - 2*r**3 - 2*r**2 wrt r.\nAnswer: -912*h*r + 24*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 40, 0, 4 in increasing order.\nAnswer: -2, 0, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000089272 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 20*u**2 - 153*u - 117. Give g(19).\nAnswer: -3385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8467.3 rounded to the nearest ten?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4359 to 2 dps.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than 45?\nAnswer: 44.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 98. Calculate the greatest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*-26*20\/(-8)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 899?\nAnswer: 3596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59896 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 + -315.0000579. What is k rounded to 6 dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:58 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 - 5. Suppose -o = 2*o - 12, -2*o = -q - 7. Let r be (-13 - -11)\/(q\/2). Determine y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(3*p - 4*p - p) - 47*p - 98*p - 74*p + 3*p + 0*p - p + (1 - 5 + 2)*(3*p - 2*p - 2*p) + 3*p + 3*p - 5*p - p + 3*p - p - 4*p + 0*p + 3*p.\nAnswer: -220*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 1\/3*g**3 + 11\/10*g**6 + 0*g**4 + 5 + 0*g**5 - 3*g + 27\/2*g**2. What is the second derivative of p(a) wrt a?\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1585, 1613, 1641, 1669?\n\"Answer: 28*y + 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 24*d - 17037. Suppose -12*a = -293 - d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**3\/9 + 994192*u**2\/9 + 994198*u\/9 + 82850\/3.\nAnswer: -2*(u - 124275)*(2*u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 3*z**2 + 0*z**2)*(-1 - 3 - 1)*(-1 + z + 1).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 34 = 3*q, 28 = -5*q + 4*q - 4*i. Let p = q + 30. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + -5*(sqrt(13) - (sqrt(13) + 2)**2)).\nAnswer: 64*sqrt(13) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/7 - 58668\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 13*n**5\/20 - n**3\/6 - 15*n. Find the second derivative of f(l) wrt l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 8*x. Let f be w(8). Suppose f = -27*j - 7*j + 1496. Suppose k - 5*d = 7, -k - 2*d = -0*d - 14. What is the remainder when j is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000151483 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))**(2\/43))**(-33) assuming k is positive.\nAnswer: k**(-165\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17558834543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -7735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4007.4 - 0.397.\nAnswer: -4007.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/16 + 2)\/((-3)\/2). Are -3\/10 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:52 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11635.5669 + 11635. What is p rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - a = 508, -3*z + 2*a + 340 = -z. Suppose 3*f - 4*w = z, 2 = -4*w - 2. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + -2 - -1)*-65 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530924 divided by 74?\nAnswer: -1265462\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 18. Solve 5*l - 11 + 0 = -2*k, -k - 2 = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*d - 25 = 0, 5*a + 5*d - 34 = 2*a. Let y = -12 + 16. Suppose 0 = -v + g + 3, -4 = 4*v - 5*g - 19. Sort v, a, y.\nAnswer: v, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -0.4, 0.2, -7 in increasing order.\nAnswer: -56, -7, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4 (c) 1\/16 (d) 2\/43 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2812054 and 7?\nAnswer: 2812054","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -5460\/697 + 134\/17. What is the closest to 2\/5 in -1, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73, 147, 221, 295, 369, 443?\n\"Answer: 74*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9628 * -2409.\nAnswer: -23193852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3421155?\nAnswer: -3421151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -168\/1171?\nAnswer: -168\/1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 - 10*q - 5. What is b(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21433*m - 21418*m - 21415*m + 64249*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1547 (b) 4 (c) 9\/166 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 - (-2981)\/(-77))*-28. Solve -648*q = -c*q + 112 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - 260\/8. What is the units digit of 468\/33 + 6\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.4 - 2.1. Let y = i + 5.7. Let f = y + 3.7. Which is the third smallest value? (a) f (b) 0.2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 j when three letters picked without replacement from crmrxjmq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k + 12 = 0. Let v be (-2)\/4 + (-6)\/k. Let f = 5 + -4.9. Which is the nearest to v? (a) 2\/15 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 14869, -5 in decreasing order.\nAnswer: 14869, 11, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -n - 9. Let k(z) = 6*z**2 + z + 3. Let l be k(-2). Let m = l - 19. What is the remainder when n is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16172843 (base 10) in base 9?\nAnswer: 33378865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from issiifffsfiiiiffif?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29953.\nAnswer: 7, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004619 to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-9 + 3 - (-3 - 3)) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*c**2*s**2 + 28*c**2 + 1758*c*s**2 - s**2 + 6*s - 2958 wrt s.\nAnswer: 192*c**2 + 3516*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8366291467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -508\/7 greater than -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 4073401?\nAnswer: -40733d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3280)\/(-3690)*(-15)\/(-2).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47911222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78109216 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(126))\/sqrt(7).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 197. Suppose 0*b + 2*q = -b + 97, 0 = b - 2*q - 105. Calculate the smallest common multiple of y and b.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315212 is divided by 2694.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = 0, 4*d - 9*d + 582 = z. List the prime factors of z.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 + 9010*d**4 + 4076990*d**3 + 16208980*d**2 + 20223005*d + 8082010 = 0 for d.\nAnswer: -899, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*o**2 + o - 3*o**3 + 7*o + 55*o**2 + 12*o + 52*o.\nAnswer: -3*o*(o - 3)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -333281*h**5 + 433602*h**2?\nAnswer: -19996860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 3*y - 5. Let p be w(-4). Let j = 1310 - 1309. Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30397985 to the nearest integer?\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, 3, 87 in ascending order.\nAnswer: -8, 3, 9, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13818\/5 - 2746. Let u = r - 17. Let w = -2 + 1.9. Sort -5, u, w.\nAnswer: -5, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-121)\/(-11)))\/(1\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1850, -1\/130, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 + 4*i - 7. Determine y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1398, 2794, 4190, 5586?\nAnswer: 6982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5 + (sqrt(64)\/(sqrt(8) + sqrt(32)) - sqrt(88)\/(sqrt(11) - sqrt(99))))*2)*1.\nAnswer: -12 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 9*w - 2*g = -101, 4*w = -4*g + 424. Let y = -384 + -147. Let c = y + w. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.8367 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 71. List the prime factors of v.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 43*q + 236*q + 52*q. Let z(o) = -o. Give z(l(y)).\nAnswer: -328*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -2*t - h + 126, 0 = -5*h - 15. Suppose 0 = -106*k + t*k - 80. Solve -z - 4*z = -k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -11015?\nAnswer: 10550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 7, 2, 5, 22?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -23. Which is greater: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 40. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q**2 + q + 4. Calculate w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*l, -97*l + 93*l = 4*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -102329021*t**3 - 45679*t**2 + 45679*t - 45679. Let i(y) = -26882*y**3 - 12*y**2 + 12*y - 12. What is -12*d(p) + 45679*i(p)?\nAnswer: 5374*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 15, 0 = 2*h + w + 3*w - 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 18*i + 53. Let k be r(-3). Is 87344\/28 + (-15)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 30372210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185331 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p + 2. Let z(v) be the third derivative of 5*v**4\/24 - 7*v**3\/6 + 4*v**2. Is z(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246977128.\nAnswer: 2, 23, 1342267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054202 is divided by 837?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14)\/(-3)*189\/126 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17030215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by -1\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**3\/13 - 2348*h**2\/13 + 98112*h\/13 + 28224\/13.\nAnswer: 2*(h - 84)**2*(7*h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 107*l**3 + 9*l**2 + 21*l + 1. Let x(o) = 126*o**3 + 10*o**2 + 23*o + 1. Calculate -7*f(n) + 6*x(n).\nAnswer: 7*n**3 - 3*n**2 - 9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 13\/3, -2\/21, -25, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-16 + 5 - 2 - q) + ((-3 + 1 + 4)*(0 + 6 - 4) + 4 - 13 + 6)*(-3*q - 2*q - q).\nAnswer: -7*q - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -24*j - 25. Calculate r(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -50, -12, 6\/13 in descending order.\nAnswer: 1, 6\/13, -12, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 12222?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -1291, -1774, -2155, -2440, -2635?\nAnswer: -2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 12. Determine n(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q + 204 - 687. Let z(s) = 98*s**2 + 6*s + 2. Calculate the remainder when z(-1) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - 5*d + 6. Let y(o) = 20*o**2 - 14*o + 17. Let k = -69 + 63. Calculate k*y(f) + 17*m(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 + 0*v + v + 0*v - 3*v as z*v + i + g*v**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350068 is divided by 105?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/1527 and 187\/30.\nAnswer: 15270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532390 is divided by 40953.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y*y**(-2\/19)))**(-6) assuming y is positive.\nAnswer: y**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 52 (c) 0.023 (d) -0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -29*c + 190. Determine m(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 1\/2*p**2 - 1\/4*p**4 + 3*p - 4\/3*p**3 - 8. Calculate r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4806580 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 552711?\nAnswer: 552710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680938225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/41 - -35\/123. Is -11 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -7\/3*v**3 + 1\/3*v**4 - 1\/3*v**2 + 2*v + 1\/3*v**5 + 0 = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**8\/56 + q**4\/6 + q + 3. Let d(m) be the first derivative of h(m). What is the third derivative of d(k) wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, t: 10, b: 1}. What is prob of sequence tb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 233410*k**2\/3 + 513572*k\/3 + 154\/3.\nAnswer: 2*(5*k + 11)*(23341*k + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 2. Let j(c) = -c + 1. Let n = 3 + -9. Calculate n*a(h) - 10*j(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7695.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**4 - 67*d - 733?\nAnswer: 36*d**3 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**2. Let o(f) = 27*f**2. Determine i(o(c)).\nAnswer: -10206*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 2*b - 58*v + 73*v, -b - 34*v + 5 = -35*v - 14 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 + 3*a - 3. What are the prime factors of u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260595*b**2 - 3*b - 2242 wrt b.\nAnswer: -521190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 30. Let m(h) = -2*h + 9249. Give z(m(g)).\nAnswer: 8*g**2 - 73992*g + 171087972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -633002.3 rounded to the nearest one thousand?\nAnswer: -633000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(2\/15)*a)\/a))**(1\/7))**26\/((a**3)**(5\/4))**(-1\/17) assuming a is positive.\nAnswer: a**(24559\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 - 7*y + 9. Let x = -5 + 5. Suppose -3*d + 2*o + 8 = x, 3*o = 4*d + 2*o - 19. Give h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 38 = 13*k. Let c be 5 - (-10)\/k*(-6)\/(-4). Solve -2*x + 7*x - 10 = c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -571, -564, -553, -538, -519, -496, -469?\n\"Answer: 2*x**2 + x - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - j - 2*f - 2, -2*f + 0*f = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*j + 3*j. Let s be (-2 - -1)*j - 0. Let g be 2 + (-1 - 10\/8). Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 11.\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20b3b8 + -8b7?\nAnswer: -2100b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -17*h**7\/420 - h**6\/180 - h**5\/60 - h**4\/24 - h**3 + 2*h. Let q(y) be the second derivative of r(y). Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -2b?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2349\/(-24) - (-3473)\/(-27784).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172422*16.67.\nAnswer: -2874274.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*n. Let d be 8\/3 + (-1)\/(-3). Suppose -d*q - 2*q = 4*r - 2, 0 = -q + 3*r + 8. Solve n = q*c + 3*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 4*c + 2. Let s be x(-4). What are the prime factors of 1\/s - (-516)\/24?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.64, 1, 1\/197, 1\/2, 2 in increasing order.\nAnswer: -0.64, 1\/197, 0.3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 17*c - 75. Solve 11*k - c*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d + 18*d + 9*d**3 + d.\nAnswer: 9*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -5\/2*q**2 - 7*q + 9\/4*q**4 + 2*q**3 + 26. Let y(u) = -8*u**3 - 5*u**2 + 4*u + 6. What is 6*b(n) + 7*y(n)?\nAnswer: -2*n**3 + n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43843 + -350747\/8. Sort 0.5, 1\/24, y.\nAnswer: y, 1\/24, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19582*b**3 - b**2 - 2*b - 2239 wrt b.\nAnswer: -117492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417617*d - 2 - 417815*d + 2.\nAnswer: -198*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -129.81 (b) 2\/15 (c) -3544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17768498 is divided by 335?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -610317*m**2. Let t(x) = 2*x**2. What is v(t(b))?\nAnswer: -2441268*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a + 4 = 0. Let d(y) = 9*y**2 + y. Let j be d(a). Let m be 2\/(-3 + 1)*-88. What is the highest common divisor of m and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/4)*f)\/(((((f*f**(-1\/2)*f*f)\/f)\/f*f)\/f)\/f))**(-1\/32) assuming f is positive.\nAnswer: f**(-9\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 21*j = -16*j - 4271, g = 3*j + 2108. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6) + 5 + 0 + 3.\nAnswer: sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -193 (b) -2\/17 (c) -1 (d) 1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 4*j - 7 + 5*j)*(64 + 46 + 72) as k*j + c and give k.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s + 36 = 0. Let y be ((-2)\/3)\/(3\/s). Is 4\/8 - (-30)\/y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 11) to base 9\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -102. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbbbbbbbbbbbmb. What is prob of picking 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 9. Let x be c(7). Let h = x + 8. Solve 4*v**2 + 0*v**h + 2*v**4 + 2*v**4 + v + 6*v**3 + v**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 662 = 490. What is the highest common factor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 10) in base 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/62 and 137\/1152.\nAnswer: 35712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-9)*15\/(-35)*7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/260 and -89\/6.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54419*c**3 - 309493.\nAnswer: -163257*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12*3)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(196)*-2 + sqrt(196) + sqrt(196) - sqrt(196))*4)\/sqrt(7))\/(6*sqrt(196)*1)*-3)**2*-3.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.52 times -4?\nAnswer: -930.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -6\/11, 0 in decreasing order.\nAnswer: 0, -6\/11, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295532111*z**2 + 349444599*z wrt z.\nAnswer: -591064222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 6, 3\/4, 0.1 in descending order.\nAnswer: 6, 3\/4, 0.1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/19 + 1248\/(-304)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/(396\/36)*1\/(-5)*-6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1103 or 0?\nAnswer: 1\/1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 1 + 844*z**2 + 10852*z**2 - 6 as s*z**2 + x*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 + 124*h**4 - 226*h**3 - 832*h**2 - 480*h = 0.\nAnswer: -1, 0, 4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7*g + 187 = 0. What is the remainder when 406 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 82478 + 82478 + 20*l**3 - 2*l - 4*l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 7448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5626\/(-18))\/((-260)\/39). Let b = -143\/3 + z. Calculate the common denominator of b and -79\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - c**4 + 4*c**4 + (c**3 - c**3 + c**3)*(3*c - c - c) + 4*c**4 - 4*c**4 + 2*c**4.\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - 91 - 2*t**3 - 87.\nAnswer: -2*t**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 12:17 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-8)\/(-2))\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 239*n + 1. Let d(a) = 1. Calculate b(v) - d(v).\nAnswer: 239*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8, -742, -115\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4326)\/(-1030)*1*(-160)\/216.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:08 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 k, and 1 m when four letters picked without replacement from kpkkmmkmkmfmkmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -6202 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 18 - 6)\/(4\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 699\/(-27) + -5 + ((-448)\/(-126))\/(-32)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 60 + 105)*(-2*d**2 - 3*d**2 + 2*d**2) + (3 + 1 - 3)*(-4*d**2 - d**2 + 4*d**2) + 5*d**2 - 2*d**2 - d**2 to the form m*d**2 + b*d + i and give m.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -1, -28, 5, -50, -3 in increasing order.\nAnswer: -50, -28, -3, -1, 5, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11468\/3 - 4249. Which is smaller: i or -425?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 17*b. Let z(o) = -6*o - 12. Let y be z(-4). Let p be n(y). Suppose 455 = 5*m - p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*-1)\/(1*sqrt(252)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {s: 1, f: 2, j: 2, e: 1, h: 1, i: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -22425\nAnswer: 122\/22425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 3 = 0. Suppose 2*y - w*y = 2*f, -2 = 2*f. Let t be (75\/y)\/(3\/4). Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-2*g + 3 - 3 - 2*g + 0 + 0 + (0 - 1 - 2)*(2*g + 1 - 1)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52232?\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294548634?\nAnswer: 2, 3, 16363813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2747 - -2747.43. Let o = 2 + -2.33. Let x = w + o. Which is the third smallest value? (a) -0.5 (b) -1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -6) + (-8 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -3*c**2\/2 + 29. Let g(q) be the first derivative of -q**3\/3 + 2. What is k(g(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83698 - 24858329\/297. Let w = -7\/27 - z. Which is the biggest value? (a) 4 (b) -5 (c) w (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -0.5, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 21 = -4*a + 5, -3*a - 9 = 3*w. Let u(x) = -x**w + 6*x + 4 + 2*x**2 + 3*x. What is u(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 22*l**2 - 11*l + 254. Let n be y(-21). What is the highest common divisor of 16148 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 17 - 17.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/10)\/(1\/4). Suppose 26 = 4*v - m*l, l + 28 = 4*v - 3. Let p = 5 - -2. Calculate the smallest common multiple of p and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -26. Suppose 2*f - 354 = -2*q + n*f, 0 = -2*f + 4. What are the prime factors of q?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.7 (b) -3 (c) 1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794138.\nAnswer: 2, 3, 23, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6732 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100202000220 (base 3) in base 15?\nAnswer: -254319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.508, -1, -1354\/13, -3 in increasing order.\nAnswer: -1354\/13, -3, -1, -0.508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -182, -360, -568, -782, -978, -1132?\n\"Answer: 4*l**3 - 51*l**2 + l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 9.1. Let v = x + -9.8. Which is the closest to 0? (a) v (b) -0.9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*d - 14. Let l be 1\/1 - (-2)\/2. Let v be (-26)\/39*(-3)\/(-11). What is the nearest to l in d, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d - 59*d - 12 = 0. Let g(x) be the third derivative of -x**4\/24 + x**3\/6 - 2*x**2. What is the remainder when 26 is divided by g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2424834 kilometers?\nAnswer: 242.4834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 4.238\nAnswer: -245.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 46, 69, 92?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(1287\/63)*((-160)\/(-28) - (14 + -8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60760.87 centimeters to meters.\nAnswer: 607.6087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90482\/5 - -18096. Which is the closest to n? (a) -4 (b) -2\/43 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j - n + 20 = -73*j, 2*j + n = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 59*m - 1. Give l(10).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-140)*-14*(-35)\/14?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85591345 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:12 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1477238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21122 (base 3) in base 10?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 2. Let p be n(5). Let g = 41.1 + -45.1. Which is the biggest value? (a) g (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 15743088?\nAnswer: 78715440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/26)\/(-3*(-2)\/120*5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11081*z**2 + 10515 + 2411*z**2 - 10519.\nAnswer: -8670*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 85. Sort 2, 2\/45, h in decreasing order.\nAnswer: 2, 2\/45, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39783*l**3 + 6308 wrt l?\nAnswer: -119349*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/((-9)\/6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19953515, -39907065, -59860601, -79814117, -99767607, -119721065, -139674485?\nAnswer: -159627861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 39 = -16. Let m = l - -32. Suppose 5*b = 5*w - 17 + 72, -3*b - w + m = 0. Solve 0 = 3*r - 5*r + b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3))**(-1\/5))**49 assuming r is positive.\nAnswer: r**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -724140 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 55*p + 57. Let r be h(-1). Solve -14 = 5*n + 5*f - r*f, n + 13 = -4*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -3 (c) -1 (d) 12.08 (e) 38 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(240\/28 + -8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 83, 0.02, 2\/9, 4, -4\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006868237 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328409 is divided by 1999.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10284, -10287, -10290, -10293, -10296?\n\"Answer: -3*y - 10281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0277 + -0.10802. Round v to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -882*r + 1748*r + 2656*r + 2521*r to p + m*r and give m.\nAnswer: 6043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22327, 44657, 66987, 89317, 111647?\n\"Answer: 22330*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10187, -20349, -30475, -40547, -50547, -60457, -70259?\nAnswer: -79935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1bb5 - 3?\nAnswer: -a1bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - (2 - -4))\/(6\/8). Solve -4*b = -5*g - 9, 0*g - s*g = 2*b + 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272154 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 - 10*y - 9. Let x be o(-6). Let d be 7 + -4 + (-41)\/x. Let j = 2.48 - -2.52. Which is the second smallest value? (a) j (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 160. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -20.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2927 - 1624. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20210)\/(-172)*(-6*1 + 16\/(-20)*-7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(1\/8)\/(m**(-2)*m)**22*m**(5\/4)\/(m\/(m\/m**(1\/2)))*(m*m**0)\/(m\/(m\/(m\/m**(-1\/11)*m)*m)) assuming m is positive.\nAnswer: m**(3495\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 2. Let k be s(-2). Solve -2*q + 0 = -k, -5*f - 5 = -2*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -279, -326, -447, -678, -1055, -1614, -2391?\n\"Answer: -6*i**3 - i**2 - 2*i - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 3*m**2 + m**3)*(1 + 3 - 3) - m + 2*m**3 + m + (-3*m + 0*m + 0*m)*(-8*m**2 - 3*m + 3*m).\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 16*j**2 + 4. Let q(o) = 5*o**3 + 65*o**2 + 17. Let b(m) = 9*c(m) - 2*q(m). Suppose 359*h + 374*h = 284*h + 6286. Calculate b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14*l = 3204. What are the prime factors of l?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 451528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6*(-82)\/(-164))\/((-1)\/(-93)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11147 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2256320 and -53\/789712.\nAnswer: 15794240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 11*r**2 - 9*r - 6. Let s be t(-10). Let o be 2\/(-8) + (-1588)\/s. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11013 - 3494. Is h a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6706\/6779 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.073671 to two decimal places.\nAnswer: -3.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8255583 litres in millilitres?\nAnswer: 825.5583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a = -1526*a - 35906 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004253161732 to 6 dps.\nAnswer: 0.000425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -7, -4, -3, -15 in descending order.\nAnswer: -3, -4, -7, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -t + 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 902998\nAnswer: 902941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 0 in descending order.\nAnswer: 27, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7288 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 - 6*v. Let z be i(4). Let t(o) = o**2 + 8*o + 3. Let x be t(z). Suppose 0 = -x*q - b + 191, -4*q = -b - 10 - 254. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (32 + -12 - -14)) + (1 - 8) + -1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34964 is divided by 8413.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 216 = 0. Let x be (-48)\/n + (-4)\/(-6). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5218 - 550?\nAnswer: -550.5218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -16308?\nAnswer: -16315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8080380 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-582)\/(-10) + (-17)\/85?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8267.2251 rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 94 = 4*w - 23*g, 5*g = 4*w - 73. What is the fifth smallest value in -1.3, -2\/5, w, -0.1, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + 3*u)*(-7734*u**4 + 1220*u**4 - 2463*u**4)*(-1 + 3 - 1).\nAnswer: -26931*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3.7. Let v = -0.4 + g. Which is the third biggest value? (a) 4 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123467796 is divided by 61733897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as -66.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/199? (a) 0.3 (b) 0.572 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308539 less than -1?\nAnswer: -6308540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 + 2. Let d be g(0). Solve -s = -d*b - 11, -15 = 3*b - 0*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2080 and 299273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 0. Suppose 742 = p + p + 4*c, -5*p - 2*c + 1895 = w. Suppose 0 = 4*t - 3*t - p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.428017339 to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 949 + -904 - (24 + 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c + o + o, -17 = c + 5*o. Is 0 + c - (-80 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = 3*b, t - 2*b + 7*b - 19 = 0. Let w be t\/(-6) + 178\/12. Solve -20 = -3*v - k, -2*v = -0*k + k - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.209 - -4.791. Let w = 0.45 + -0.48. Let n = 0.97 - w. What is the closest to n in d, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3244 divided by 1622\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31932 or 31939?\nAnswer: 31939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 506 - 538. Sort -2, t, -1, 5 in increasing order.\nAnswer: t, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18314790 at least 18314792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 158\/3. Let i(x) be the first derivative of 2\/15*x**5 + 0*x + c*x**4 + 0*x**3 + 0*x**2 - 2 - 1\/9*x**6. Factor i(m).\nAnswer: -2*m**3*(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - b2dc9f?\nAnswer: -b2dca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -25, -63, -139, -265, -453, -715, -1063?\n\"Answer: -2*v**3 - v**2 + 5*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -32, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2 + 1\/9*f**5 + 5*f - 2\/3*f**3 + 28\/9*f**2 - 2\/3*f**4 = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2. Let n(w) be the third derivative of 0*w + 0*w**3 + 3\/8*w**4 + 0 + 33*w**2. Calculate z(n(m)).\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 419*s**3 - 420*s**3 - 22*s**2 + 30*s**2 + 8*s**2.\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3.1 (b) -4 (c) -234 (d) 13\/2 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 920 and 116360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:48 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/360 + 7*t**5\/180 - 5*t**4\/36 + 1431*t**2. Find c, given that x(c) = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1349\/142)\/((-2)\/(-8)*2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 10)*2\/(-8). Suppose -j + 4*c + 5 = 1, -2*j + c + b = 0. Suppose j = -4*n + 5*w - 4 + 244, -5*n + 271 = w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4486, 4705, 5070, 5581, 6238, 7041?\nAnswer: 7990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 37 = -5*l, f + 117*l = 115*l + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:34 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32902 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(6\/(0 + 3) - 1). Let c be -1*(y + -2) + 2. Suppose 5*j - 44 = -c*k, 5 = -0*k + 5*k. Solve -4*g + j = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 + 54 + 1 + 17*b + 13*b as z + t*b and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.294 + 7.794. Which is the closest to 1? (a) -0.05 (b) -3\/4 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 16*k + 2. Calculate a(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 653801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101874368 greater than 101874367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-760)\/35 - 2\/7. Let k(v) = -29*v + 71. List the prime factors of k(x).\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.05. Let n = w + 5.05. Which is the nearest to -2\/5? (a) -1 (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -359*h + 1371 + 1120 + 6125 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3302341 is divided by 121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6.47 (b) 3\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18194.331s to minutes.\nAnswer: 303.23885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 358 and 145169.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1782*s - 1862*s = 1739*s - 5195*s + 18048 for s.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.34 and 2.\nAnswer: 16.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a centimeter in micrometers?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047658708 rounded to 6 decimal places?\nAnswer: 0.004766","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 88. What is the remainder when (-3 - k)\/((-1)\/109) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3 in descending order.\nAnswer: 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 5*x + 0*x)*(-36*x - 15*x - 23*x).\nAnswer: -370*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -193, -705, -1701, -3343?\nAnswer: -5793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 22. Let v be k(10). Let w = v + -413\/5. What is the nearest to -2 in w, 0, 0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/2896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 16 = 2*o - 0*n, 24 = 4*o - 4*n. Solve -5*t = -o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 0*w - 21 - 618 in the form g*w + f and give f.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277 + 4723. What is y rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = 350*t - 718*t + 354*t for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 3. Let w be 2\/(40\/(-45)) + 3. What is the nearest to 2\/3 in w, 0.5, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 102034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -3, 3, -1 in descending order.\nAnswer: 125, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from ccccicccccccccccccci?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 57*o - 353. Give q(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20667679423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13 = -17 + 10. Solve -3*s + 6 = -w*m, 7*s = -m - 30 + 44 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + s - 6. Let k(y) = -y**2 + y - 1. Give 2*k(u) - v(u).\nAnswer: u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from sryyyssysss?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*r = 9, 48*r = 2*d + 45*r + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 10. Let h be 3\/(-9)*-21 + 0. Let f be j(h). Suppose -f = 4*q - 5*q. Which is the nearest to 2? (a) -3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 2\/11 (b) -2 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/8 of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000111888 to seven dps.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5418*l**2 + 4*l + 10692*l**2 - 5276*l**2.\nAnswer: -2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 454\/10 + 26\/(-65). Let n(u) = 48*u - m*u - 1 + 1. Let v(f) = -2*f**2. Calculate v(n(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4*42)\/(121\/(-242))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1 (c) 1078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 - (-51)\/6. Let n = h - 7. Solve 0*v + 3*a + n = -2*v, v - 21 = 4*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let t(q) = -26432591*q. Determine t(r(s)).\nAnswer: 26432591*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 19*u - 10 = 0. Let d be 2*(-2)\/(-8)*u*11. Which is smaller: 34\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 799026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1572440 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457902, 457935, 457988, 458061, 458154, 458267?\nAnswer: 458400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129665279 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 2)*(-8*d - 4*d + 17 - 19) + (0 - 4 + 3)*(0*d + 2*d - 4*d))*(4 - 3 + 0 + 4*d) in the form x*d**2 + a + k*d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4008 and 9024.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 30 - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/194752 and -16\/3759.\nAnswer: 4089792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 78 = -2*b. Let i(t) = -t**2 - 5*t + 5. Let v(x) = 6*x**2 + 25*x - 24. Let f(o) = 11*i(o) + 2*v(o). What is the remainder when b is divided by f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9854 is divided by 895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 28*f**2 + 12*f - 10. Let a(i) = 140*i**2 + 56*i - 48. What is 3*a(h) - 14*p(h)?\nAnswer: 28*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 1171, 1048, 905, 736, 535, 296?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17913518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -4431?\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/21 + (-12)\/126. Suppose 5*g + o*g - 975 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(1\/3)*r)\/r))**(1\/7)*r**(5\/3)*r**(-13) assuming r is positive.\nAnswer: r**(-233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 10, 0*h = 3*h - i - 3380. Let m(x) = x + 0*x + h - 1126. Determine m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(275) + -3)*6 + -1 + (2 + -3*sqrt(275) + sqrt(275) + -4)**2).\nAnswer: -5425 - 350*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 46. Suppose -a - 5*z = -19, 2*a + 4*z = 4*a + b. Let q(s) = -6*s - 4*s - 3*s + 3 - 4. Calculate q(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 77, 80, 83, 86?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 13*q = 44. Suppose -180 + 2732 = q*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 480*y + 9 + 6 + 9.\nAnswer: -480*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g + g)*(-2 + 0 + 3)*(18*g**2 - g + g**3 + 5 - 18*g**2).\nAnswer: 3*g**4 - 3*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*s = 7064 - 33824 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 - 118. Suppose o*n - 12*n = -6. Calculate the least common multiple of n and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {t: 2, r: 7, l: 7, u: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(832))**2)*3.\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 5*t + 56 = 0, -4*t - 72 = -4*p. Suppose -4 = -k + p. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2178)*-1 - sqrt(2178)) - (3 + (sqrt(18) - (sqrt(72) + -1))))**2.\nAnswer: -2664*sqrt(2) + 221794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1428531\nAnswer: -5\/1428531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 - 1255*k**4 + 24040*k**3 + 25300*k**2 = 0. Calculate k.\nAnswer: -1, 0, 22, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(4))\/sqrt(2) + sqrt(108))**2 + (sqrt(324) - (sqrt(324) - (sqrt(324) + sqrt(324)*-2 - sqrt(324) - sqrt(324))))\/sqrt(12) + sqrt(27).\nAnswer: -6*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 28. Which is the closest to i? (a) 2\/9 (b) 5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqzqqztqttjqqtjqqq. What is prob of picking 1 j and 1 q?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g = -126*g - 184 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 - 26183*b**4 + 141554*b**3 + 104828*b**2 - 62904*b = 0. What is b?\nAnswer: -5242, -1, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410.8 + -410. Let j = p - 6.8. Let l = 487\/6 + -81. Sort j, -4\/7, l, 4 in descending order.\nAnswer: 4, l, -4\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 32667909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 2*b)*(2*b + 4*b - 3*b) + (-3 + 2 + 3)*(3*b**2 + 0*b**2 - 5*b**2).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 45 = 47. Calculate the common denominator of -18\/17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 4a8?\nAnswer: -49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 + 379 + 20*h**3 - 13*h**3 - 6*h**3 + 12*h**2.\nAnswer: h**3 - 2*h**2 + 379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1475344 divided by 533.\nAnswer: 2768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*c - 1456 + 2226 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6904 + -6904. Which is the nearest to 0.9? (a) -2 (b) -1\/5 (c) v (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -2*z**3\/3 + z**2 - 5*z. Let g be x(-2). What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -15*n**2. Let x(c) = 22*c - 9. Determine x(p(u)).\nAnswer: -330*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 749 - 747. Suppose 0 = -4*t, -7 = m - a*t + 7*t. Let z(s) = 2*s - 3. Let o(j) = -2*j + 3. Determine m*z(q) - 6*o(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225\/472 - -6\/59. Let m be (-38)\/88 + (-24)\/(-96). Let r = -409 - -6955\/17. What is the third smallest value in m, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -29, -53, -89, -137, -197?\n\"Answer: -6*k**2 + 6*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 479350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + 1.4. Let g = 15 + -15. Let r = g - -0.1. Which is the closest to w? (a) r (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*y - y + 6*y**2 + 5 to p*y**2 + d*y + w and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 188200237 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: Suppose -129 = -2*q - 177*s + 180*s, -3*q - 5*s + 127 = 0. What is the remainder when 510 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*z + 3073 = 9297 + 5158 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2239, -2635, -3275, -4141, -5215?\n\"Answer: 3*o**3 - 140*o**2 + 3*o - 2105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x - 1 - x**4 - 57*x + 29*x)*(2 + 1 - 6).\nAnswer: 3*x**4 + 24*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/24 + 2*p**2. Let i(c) = -29 + c**2 - 10*c + 42 - 13. Calculate s(i(o)).\nAnswer: -o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -125, -206, -173, 28, 451?\n\"Answer: 9*m**3 + 3*m**2 - 153*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.921 + -0.259. Let w = 0.18 + v. Let h be 16\/4 - (-33)\/(-9). Which is the closest to w? (a) 2 (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2122 - 0.2502. Let u = 0.842 + -0.78. Let i = u - d. What is the second biggest value in 1\/2, -0.5, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*sqrt(32) + -3 + sqrt(50))*-2.\nAnswer: -30 + 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*h - 768*h = -9339750. Calculate the greatest common factor of h and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*x**2 - 9*x + 0*x + 9*x - 857*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 5*u**2 - 2*u + 8. Let m be v(5). Let f be 7\/m*(-45)\/70. Find r, given that -3\/4*r**2 - 3\/2 - f*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101100 - 1?\nAnswer: -11010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-40) + (-42)\/(-15) - (-2 + 5). Factor -6\/5 + 2\/5*b - w*b**3 + 6\/5*b**2.\nAnswer: -2*(b - 3)*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34160*i - 234233*i + 15254*i - 294640*i.\nAnswer: -547779*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 4*b + 3. Determine t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 12. Let t(z) = -13 - 3 - 1 + z**3 - 2*z**2 + 0*z**3 - 10*z**2 + 3*z. Calculate the remainder when t(h) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -12, -2\/5, -3\/136, -5\/6, -0.2?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from uef.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111010010 (base 2) to base 12.\nAnswer: -696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25614 - 76844\/3. Let h be 6\/4*1\/(-6). What is the biggest value in 3, h, r, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + k)*(-1 + 3 + 1) + (-2*k - 1 + 1)*(-1 + 1 - 1).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*r + 18, 14*j + 410 = 6*j + 5*r + 473 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1892)\/121 - (-128)\/(-352).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11055 + -10923.42. Round v to 0 decimal places.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 23*c**2 + 34*c - 14. Let k(f) = 8*f**2 + 11*f - 5. Determine -6*a(j) + 17*k(j).\nAnswer: -2*j**2 - 17*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 28 = -34. Suppose -5*k = h*o + 203, -o + 196 = -4*k + 20. Let v = k + 48. Solve -5*t + 4*a = -19, 5*t = 3*a + 13 + v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*q = -606*q + 285*q - 833 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*a - 1575*a + 4272*a to the form o*a + w and give o.\nAnswer: 3089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001011101100 + 10000010110?\nAnswer: 1011011100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 111*g - 140*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 <= 725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 17*w + 2 + 145*w**2 - 155*w**2 wrt w?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 30. Let m = -31 - -33. Let w(q) = 35 + q**m - 35. Calculate a(w(i)).\nAnswer: 2*i**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10758, -21625, -32564, -43611, -54802, -66173, -77760, -89599?\n\"Answer: -6*o**3 - 10825*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 160?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzdddddzddddd. Give prob of picking 1 d and 1 z.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 4*f + 4 = 41*j, f = -3*j + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = -1. What is the third derivative of k - 105*q**2 - 3 - 2*q**5 + 103*q**2 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 5:17 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/6972)\/(1\/(-27)) and -61\/62.\nAnswer: 5146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 93*u = 55*u + 780 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 6077*p**2\/3 + 4050*p.\nAnswer: p*(p - 6075)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j\/(j\/j**(-2\/5))))**43*(j**1)**(-1\/15)*(j\/(j**(-3\/8)\/j))\/j**(-6) assuming j is positive.\nAnswer: j**(18541\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -157*h**7\/210 - 1621*h**3\/6 - 2*h**2 - 42. Differentiate l(y) wrt y.\nAnswer: -628*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.2162 + -4851007.5?\nAnswer: -4851113.7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/c)\/(c**6*c))**(-24\/11)\/((c**0\/c)**(-2\/125)*(c**(-1)*c)**(4\/33)) assuming c is positive.\nAnswer: c**(47978\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 81 - 201. Calculate the smallest common multiple of (-214)\/(-4) - 5 - (-111)\/74 and d.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.19, 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)*b*b\/b**2)**27)**2 assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -4)\/(9\/(-6)). Suppose y*z - 8 = -0. Suppose w + z*w + 5*r - 75 = 0, 2*w - 75 = 5*r. Calculate the greatest common divisor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -3339 (c) -13 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 5)*(-10)\/(-2). Is ((-84)\/(-10) + 2)*n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1567494411 divided by 223927773.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/5)\/(5\/25). What is the second biggest value in -0.2, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173090231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 3*g + 3*g)*(0 + 1 + 0)*(-11 - 12 + 27)*(-2*g**2 + 0 + 0) + (g + 0*g - 3*g)*(2*g**2 - 2*g**2 + 2*g**2) to t + x*g + z*g**3 + j*g**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(320\/50)*104\/(-1430)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -120?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5437 + 5439. Sort h, -9, 150.\nAnswer: -9, h, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let a(s) be the third derivative of -s**6\/360 - s**4\/6 - 3*s**2. Let r(l) be the second derivative of a(l). What is r(f(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**3\/3 + u. Let a = -1 - -2. Let l be -1*(-2 + 1)\/a. What is h(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-50) + (-28)\/(-5). Let x(y) = -y**2 + 7*y + 6. Calculate the remainder when 22 is divided by x(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98375 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - y = -4*j, 3*j = -2*y + 5. Suppose -4 = -3*w + 5*x - j, -2*w - 2 = -2*x. Let z = 0 - w. Solve -q = -z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nctgwdcwcgctgggccdt. Give prob of sequence tdd.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19581 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {b: 2, a: 2, e: 4, l: 2, v: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - -2 - (-7 + 13 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*((z**(-30)*z)\/z)\/z*z)\/z*z)**(-35)*z**12\/(z*z*z\/(z\/(z*z*z\/z**(-8)*z))*z))**(-36) assuming z is positive.\nAnswer: z**(-35172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4436407159 to the nearest ten thousand.\nAnswer: 4436410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 66. Let d be (27\/(-594))\/(5\/(-4) - m). Let n be (4\/(-66))\/((-2)\/(-6)). Sort n, d, -3\/4.\nAnswer: -3\/4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 76*y - 150. Let i be l(-22). Solve -58 = -6*o - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -32) + -1 + -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y = -50*y + 4. Solve 3*b - 4*b - y = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -5*i - q + 621, -3*i = 5*q - 308. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiigiiiiiiiii. Give prob of picking 1 i and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 7*b - 5. Let h be v(-5). Suppose 4 + 6 = h*n - 4*r, 0 = -5*n + r + 10. Let g(f) = -4*f**2 + f - 2. Give g(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8)*-1)\/((-287)\/328)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 - 299 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/9)*s**(-6)*(s*s\/(s\/(s**(1\/3)*s))*s*s)**(6\/7) assuming s is positive.\nAnswer: s**(-95\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206035 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5 - 6*j - 1 - 1. Let w(n) = -5*n - 7. Let z(p) = p**3 - 6*p**2 - 13*p - 19. Let l be z(8). Let i(v) = l*w(v) - 4*h(v). Determine i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -31905\nAnswer: 2\/10635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s**3 - 25*s**2 - 27*s - 2. Let d(q) = 17*q**3 + 18*q**2 + 19*q + 1. Let h(k) = 7*d(k) + 5*m(k). Determine h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 133.2 and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let d be m(2). Let u = 0 + d. Let x(c) = 1 + 3*c - u*c - 4*c + 3*c. What is x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 1. Let v be q(1). Let a = 11 + v. Calculate the remainder when 23 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6267829 litres in millilitres?\nAnswer: 626.7829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 350, 362, 382, 410, 446?\n\"Answer: 4*u**2 + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 30 = 5*h. Let t = h - 4. Solve 0 = 2*u + 4*n + 10, t*n + 0*n + 15 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5318 - -5317.99. Let j = -19 + 18.6. What is the biggest value in f, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 616430.4ml?\nAnswer: 616.4304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:34 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iky when three letters picked without replacement from kyki?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-5) + (-3)\/15. Suppose -2*y + 0*q - o = q, q = y - 4. Let k be y\/((-3)\/(3*2)). Sort -5, 1, k.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 - o. Let k(y) = y**3 + 3*y**2 + 2*y - 3. What is -k(c) - 2*n(c)?\nAnswer: c**3 - c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**2 - 6*i + 6. Let n(v) = v**3 - 8*v**2 - 8*v + 9. Let p be n(8). Let h(m) = -100*m**2 + 55*m - 55. Give p*u(w) - 6*h(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 55.1 times 88\nAnswer: 4848.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.03164 rounded to one decimal place?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, 1.243, 0.21 in descending order.\nAnswer: 1.243, 2\/3, 0.21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 5. Let c(t) = 2*t - 6. Let i(x) = x**3 - 5*x**2 - 5*x - 10. Let m be i(6). Calculate m*l(n) + 3*c(n).\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = x + 2*x - 6, 4*x = u + 8. Which is the closest to u? (a) -0.1 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001011011100101000011 (base 2) to base 12.\nAnswer: -440aa2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-35)*(-375)\/(-600))\/((-3)\/(-2)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1110000?\nAnswer: -1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1156*i + 280910. Calculate z(-243).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n - 4. What is g(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -24448 greater than -24444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 o when three letters picked without replacement from hhioio?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.55 - 5.54998852. What is v rounded to 7 decimal places?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -2) + (23 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2696 + 8*y**3 + 2696.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18230)\/15*3 + 7)*-1. Is s bigger than 3642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.8, -4\/5, -0.04?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 11429476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-30)\/(-14))\/((-108)\/126).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 4. Let p be n(0). Suppose l + p*l = 10. Suppose -l*i + 5*v - 2 + 15 = 0, 12 = 2*i - 4*v. Solve -24 = -i*c + 3*o, -o + 8 = -3*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10170, -20344, -30518, -40692, -50866?\nAnswer: -61040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5968361 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 17*h**2 + 20*h - 28. Let g(q) = 3*q**3 - 50*q**2 - 59*q + 84. Let x(t) = 6*g(t) + 17*r(t). What is x(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let g(x) = -3*x + 1. Give g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1641)\/147690*3\/16*(-130)\/39.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(2\/4 - 0). Let j = h + -2. Let p be ((-6)\/(-4))\/((-2)\/(-20)). What is the highest common factor of j and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*-1566*1\/(-2)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/129 in 1, -9, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 886, 3360, 5818, 8254, 10662, 13036, 15370, 17658?\nAnswer: 19894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t + 145782 = 74*t. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 525 + 153 = 0. Find the second derivative of -b*h**2 - 70*h + 293 - 49*h**2 - 293 wrt h.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22287578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87716 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*w - 113*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = -p, 2*d - 9 = 3*d - 3*p. What is the highest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s**2 + 19*s + 13. Let p be i(-17). Let q = 156367\/20 + p. What is the common denominator of -99\/2 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/3 + 63128324*z\/3 + 63128320\/3.\nAnswer: 4*(z + 1)*(z + 15782080)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 116226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 8556273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 74*n - 732. What is the remainder when 144 is divided by u(9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 w when four letters picked without replacement from ooooooowowwoooooowo?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9355, 9567, 9781, 9997, 10215?\nAnswer: 10435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6952921 - 4839812. Let i = s - -4646891. Round i to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.5. Let r = z + 0.6. Do 2\/7 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -312 + 352. Calculate the remainder when 106 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5490.317 years?\nAnswer: 54.90317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872)*-1)\/(sqrt(400) - 2*sqrt(400)))**2 - -1*(5 + sqrt(117) + -2 + sqrt(117) + sqrt(117))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -3, 4, 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/66*29)\/((-1)\/(-3)) and 26\/167.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 4:58 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1991271*m**4 + 1933*m + 14 wrt m.\nAnswer: -23895252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 9e87?\nAnswer: -9e98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 10) in base 2?\nAnswer: -101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*o + 15278 = 246*o - 967*o - 2322 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1759968 divided by -3024.\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26533 - -38676. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27771106 + -3?\nAnswer: 27771103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 241*w - 4. Let h be (1\/2)\/((-1)\/(-14)). Let r be d(h). Suppose -2*k = -5*f + r, -4*f - k + 1349 = -0*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100898581769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/8 - 81*a\/4 + 159\/8 = 0. What is a?\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4715 + 5178. Put -2, -3, r in descending order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-9 - -3 - -3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.3. Let j = -22880\/3 + 914987\/120. Let w = j + 11\/8. Which is the second smallest value? (a) g (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-1\/38)*t*t**(-2\/9) assuming t is positive.\nAnswer: t**(599\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1857*b + 217278. What is k(117)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121.2 + -107. Let x = 14 - v. What is the biggest value in 2\/5, x, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 832447535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 2, x: 1, t: 4, o: 8}. What is prob of picking 1 g and 2 s?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from {z: 7, h: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/(k*(k\/(k**(1\/13)\/k*k)*k*k)\/k*k)*(k*k**1)**19)**(-2\/5) assuming k is positive.\nAnswer: k**(-4482\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12)*22)\/((-105)\/(-441)).\nAnswer: -77\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420221, 840432, 1260643, 1680854, 2101065, 2521276?\nAnswer: 2941487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(3*20\/15)*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/175)\/(14\/(-140)))\/((-15)\/(-21))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -114321 divided by 53\nAnswer: -2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 714900 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2768565, -5537227, -8305889, -11074551?\n\"Answer: -2768662*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -9. Let n = 25 + -15. What is the lowest common multiple of n and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -17, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 371*y**5\/10 + y**4\/12 + y**3\/6 - y**2\/2 + y. Suppose 5*b + 12*m = 16*m + 9, -2*m + 3 = 5*b. Is s(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17309880 divided by -42?\nAnswer: -412140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 + 16*j - 7. Let t be k(7). Let r = t - 4. Suppose -y - b + 47 = 0, -r*b + 21 + 36 = y. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**3 - 5*k + 1. Calculate w(3).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -7535, 5, -3 in increasing order.\nAnswer: -7535, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2))**(-18))**(-1\/11))**(-14) assuming m is positive.\nAnswer: m**(504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.032 - -0.057. Let w = -0.025 + v. Sort w, 1, -0.05, -0.5 in increasing order.\nAnswer: w, -0.5, -0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g + 29. Let i be v(-16). What is the greatest common divisor of i and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**3 + 5*t**2 + 5*t + 5. Suppose -4*m - m + 25 = 0. Let n(y) = -m - 12*y**3 + 7*y**2 + 2*y**3 + 7*y + 12. Calculate -5*n(f) + 7*q(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 202448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -197, -160, -89, 28?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-96)*-26)\/(138\/414)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:05 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23383*g**2*y**3 - 2*g*y**3 - g*y + 2796*y**3 wrt g.\nAnswer: -46766*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 6*c**2 + 8*c + 10. Let r be 2*2\/(-8)*14. Let f be q(r). Put -0.4, 0, f in ascending order.\nAnswer: -0.4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 4 (c) 3522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 6:55 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.698 - -0.602. Let i = x + -60. What is the third smallest value in i, -4, 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155262 >= 6155264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4802 by -3.\nAnswer: -4802\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2. Let s(r) = -4*r - 1. Let w be s(-1). Let j(p) = 0*p**2 + 0*p**2 - w*p**2. What is j(d(h))?\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 27*t**2 + 47*t**2 - 20*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -16. Let c be p\/(-1) + (-7)\/(-7). Suppose 4*x - 4*m = 160, c*x = 4*x + 4*m - 50. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 2\/11, -0.06, 4, -1\/3, -83?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 + 54 - 24*g**3)*(-100*g + 30 - 30 + 256*g + 286*g) in the form j*g**3 + w*g**4 + n*g**2 + k*g + f and give w.\nAnswer: -10608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46 - 97 - 45*y**3 + 50 + 2*y**2 wrt y.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.15308506 - 0.2.\nAnswer: 27.95308506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 + 4. Let w(a) = -3*a + 7. Let k be w(4). Let i be f(k). Find the third derivative of 5*x**2 + 6*x - i*x + 2*x**3 - 2*x wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 66 = -2*z - d, 5*z + 4*d = 174. Suppose 4*m = -3*a + a + z, 0 = 5*m + 2*a - 43. Solve -5*s + 6 = -m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180) + -1*sqrt(500))**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 28) + 19 + (5 + -1 - 32).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -178438 (base 12) in base 11?\nAnswer: -259949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*h = 196*h - 155 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*s + 18, 3*y + 60*s = 56*s + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -238572 + 2?\nAnswer: -238570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136013 + -4?\nAnswer: 13600a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.2496 + 1.50417\nAnswer: 0.25457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 6, -49.\nAnswer: -49, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/21)\/((26640\/13860)\/(-74)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1450, -2862, -4236, -5572, -6870?\n\"Answer: 19*s**2 - 1469*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 1, z: 1, d: 6, s: 1}. Give prob of sequence sd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 39. Let y be l(0). Let n be 7\/(-7) - (-1 + y). Suppose n*o - 41*o + 472 = 0. Is o a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 13. Let n(x) = x**2 + 24*x + 23. Let j be n(-23). Suppose 2*t + 5 - 39 = j. What is the remainder when t is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 73, 97, 121?\n\"Answer: 24*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from guuuyggyggtyyyutu.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7918222*g**2*u**2 + 2*g*u**2 + 1139*g - 2*u**2 - 17 wrt g.\nAnswer: 15836444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 37*a**2 + 5*a + 1717. Let m(q) = -8*q**2 - q - 3. What is -5*m(l) - n(l)?\nAnswer: 3*l**2 - 1702","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352258 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*a + 120*a + p + 12 = 0, -a + 3*p = 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - v + 5*v)*(2 + 15 - 4)*(-3 + 5 + 0) in the form q + z*v and give z.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + q - 2*q + (1 + 0 - 3)*(2*q + q - 5*q))*((3*q + 2*q - q)*(0 + 0 - 2*q) + 4*q**2 + 2*q - 2*q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*g = 22, 32*g + 12 = -8*y + 8*y + 28*g for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q - 2*a + 66 = 0, 4*q + 3*a = 131. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118236939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16*(1*-9 - (0 + -5)). Calculate the greatest common divisor of 36 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326452105.\nAnswer: 5, 11, 24117311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -39. Let h = n + -30. Which is smaller: -2\/157 or h?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -33221?\nAnswer: 33223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -1\/4, 9969\/10 in decreasing order.\nAnswer: 9969\/10, 9, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g + 4. Let r be s(0). Solve 3*d = r*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 4*n)*(0*n**4 - 3*n**4 + 0*n**4) + 24*n**5 + 30 - 30.\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51308*a**3 - 25682*a**3 - 25624*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) + sqrt(6)\/sqrt(2)) + 5.\nAnswer: sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - n. Suppose -a = -1 - 0. Let j be d(a). Let c be (16\/(-8))\/(j - 1). What is the second biggest value in 3, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.89, 3, -1 in descending order.\nAnswer: 3, -1, -1.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-16) + (-9 + (-852)\/(-96))*1. Let h = 2 - 8. Let t be (3\/h)\/((-27)\/12). What is the nearest to -1 in t, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2150 - 2158. Which is the biggest value? (a) 0.111 (b) v (c) -0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttltttltttr. Give prob of picking 4 t.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-5825)\/4950 - (1 - 2*4)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -21. Let r = 10 + -19\/2. Let w be 1 - (4 - (-4 + 1) - 4) - -6. Sort r, w, g in descending order.\nAnswer: w, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2161, -12\/7, 1\/3, 4, -0.2, 0.5 in descending order.\nAnswer: 2161, 4, 0.5, 1\/3, -0.2, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 878647?\nAnswer: -878647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Suppose 156*m - 32 = 160*m. Let z be m\/(-12) - 4\/6. Let t be o(z). Solve t = d - 2 - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6255032 + 6255324.0173. Let n = 292 - y. What is n rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97914 = 318*j - 312*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -183*r - 2657. Let o be g(-15). Which is the nearest to o? (a) -2\/7 (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 1852?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58234 is divided by 19409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 99\/220*(-150)\/(-45)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 18*i - 44*i + 20*i - 235 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let s = 8 + z. What is the remainder when 18 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1174, -4265, -9422, -16651, -25958, -37349, -50830?\n\"Answer: -b**3 - 1027*b**2 - 3*b - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81247 divided by 4.\nAnswer: -81247\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/7 + 104*q**3 - 14196*q**2 + 861224*q - 19592846 = 0. What is q?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 5, 2, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 2*t**3 + 0*t**3 + (-3*t**2 - 2*t**2 + 3*t**2)*(-t - 3*t + 2*t) + 0 + 0 + 2*t**3 + 0*t**3 - t**3 - 2*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - 7*v**4\/12 + 11*v**3\/6 + 9*v**2 - 3510*v. Let s = 2 + -10. Determine k(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/3 + -1 - 6727\/(-93). Let h = n + -73. Suppose h = 2*b + 18 - 16. Which is smaller: b or -7\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-28)\/(-4) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 197. Let i be (74\/8)\/((-5)\/(-20)). Let u = i + v. Calculate the greatest common divisor of 60 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, f: 2, x: 1, w: 7, a: 3, q: 1}. What is prob of picking 2 f and 1 d?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00298364547 to 5 decimal places.\nAnswer: -0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43905013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 63*c**3 - 71*c**3 - 67.\nAnswer: -8*c**3 - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4)*(-9)\/(-6). Let v be 3 - b - 3 - -31. Suppose -v = z - 2*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.13103, 0.5, 1.8, 33?\nAnswer: 0.13103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjcccjncjhjqooh. What is prob of sequence hjh?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22960\/126 - 2\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96912119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o - 2*k = -16, 5*k - 35 = -5*o. Suppose -2*b + 32 = o*b. Suppose -p = -b + 4. Solve -p*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 3}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 10. Let m be (0 - t\/(-12))*-1. Let f = 10337 + -10336.98. Which is the nearest to m? (a) 1\/3 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/((-11648)\/(-975) + -12). Solve 15 = -5*p + 2*r, -39*r - x = -44*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8138.283 days?\nAnswer: 11719127.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by 2825.\nAnswer: -87\/2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*(4 + 6*2*sqrt(72) + 0 + sqrt(72) + -3 + 1*(sqrt(72) + sqrt(72) + 1 + sqrt(72))) + -4))**2.\nAnswer: 1152*sqrt(2) + 18468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**3 - k**2 + 0*k**4 + k**4 + 0*k**4 + (3*k - 3*k - 2*k**2)*(4*k**2 + 2*k**2 + 2*k**2).\nAnswer: -15*k**4 + 12*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.38506 seconds in microseconds?\nAnswer: 38385060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21854605 to the power of 1\/2, to the nearest integer?\nAnswer: 4675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 10*l**2 - 7*l - 10. Let h(u) = -4 + u - u**3 + 3*u**2 - u**2 + 2*u**2. Let v be h(3). List the prime factors of i(v).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -4*p - d - 89, -4*d = -5*p + 45 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 15 = -18*c. Suppose 0 = 3*v + c, 3*l - l - 5*v - 27 = 0. Suppose -11 = -5*q - l. Solve -4*d + 2*d = -q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + -27. Let a be 5 - 6 - -135 - (-10)\/(-2). Let y = k + a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 2 + 0*h - 2*h)*(4 - 2 + 0)*(4 - 5 - 3) in the form o + p*h and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 266952571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20928.03 months in decades?\nAnswer: 174.40025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4523 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -41*-0.035\nAnswer: 1.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*m - 10289 + 6243 = 1958 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c + 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*y, o + 6 = -0*y + 4*y. Suppose 5*b + y*d - 17 = 0, 4*b - 3*d = d + 36. Suppose b*h - 14 = 36. Calculate the lowest common multiple of 16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 24. Let u = -15 - -5. Let s = u - h. What is the remainder when 23 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**2 + 3 - 3*s - 14*s**2 + 7*s**2. Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29638*s - 1870*s - 1558*s.\nAnswer: 26210*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21376081 is divided by 215920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 less than -92.9?\nAnswer: -693.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 85 - 35. Solve -3*b = -5 - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is -0.001766116 rounded to six decimal places?\nAnswer: -0.001766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 414 - 414.4. Which is the closest to i? (a) -3 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 57.\nAnswer: 57.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q**3 - q)*(2*q + q - 5*q) - 46*q**4 - 35*q**4 + 50*q**4 - 2*q**2.\nAnswer: -29*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 26*h**2 - 51*h - 46. What is k(-10)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 8. Solve 0 = -5*p - l + 2 + g, 2*l = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1626, -2120, -2614, -3108, -3602?\n\"Answer: -494*p - 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187549212791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (59197 - 20\/(-4)). Round f to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + s = -7*t + 114583, 3*t = -5*s + 114551. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*v - 756*v + 31*v**2 + 7*v**2 + 5*v**2 wrt v.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*i. Suppose 2*f + 3*f - x = 12, -i*x = 5*f - 6. Suppose f = 2*z, -z = -4*v - 0*v - 17. Is v at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) - (sqrt(3) - (sqrt(3) - (sqrt(12) - sqrt(3))))) - (sqrt(75)*-2 - sqrt(3)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 4. Suppose -15*s = -13*s - 4. Suppose -4*w - w - 45 = -4*f, 0 = -s*w - 10. Calculate l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252211 + -257726?\nAnswer: -5515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105 - 4117577?\nAnswer: -4117472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28348*u**3 - 28410*u**2 - 5*u wrt u?\nAnswer: -170088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1048, 8748, 29686, 70492, 137796?\nAnswer: 238228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + 1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327284 divided by 26?\nAnswer: 3663642\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43655 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696*m - 23212 + 23212.\nAnswer: -696*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1237 - 1237 + z. Let f(t) = -23*t. Let l(k) = -8*k. Suppose 0*a + 119 = -7*a. Let b(p) = a*l(p) + 6*f(p). Give o(b(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124152 is divided by 342.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 c when four letters picked without replacement from ccccccfecfcecceceecc?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 + 332*p**2 + 338. Let w(y) = 36*y**3 + 2322*y**2 + 2364. Let n(f) = -15*t(f) + 2*w(f). Differentiate n(x) wrt x.\nAnswer: -9*x**2 - 672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52312.288 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117822 (base 15) in base 10?\nAnswer: 835457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**3 - 22. Let s(a) = 13*a**2. Determine h(s(m)).\nAnswer: -1014*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 923445 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 8*j = 3*w - 19, 16*j + 6 - 43 = -j - 4*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(125) - (sqrt(125) - (-5 + (sqrt(125) + 4 - sqrt(125))))))**2 + (sqrt(30)\/(sqrt(2)*-2))\/(-1*sqrt(12)) + -1.\nAnswer: sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7243 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvt when four letters picked without replacement from {t: 1, v: 3, w: 2, g: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111 (base 2) in base 11?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49.526854 and 0.4.\nAnswer: 19.8107416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v - 5*v + (1 + 4 - 2)*(-v + 5 - 5) + 3*v - 5*v + 4*v + (0 + 0 + 1)*(-3*v + 5*v + 0*v) - 2 - v + 2.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**2 + 1. Let q be g(-1). Let l be 3\/2*q\/(-3). Suppose l*u = -4*d + 12, 5*u - 21 = d - 0*d. Which is the biggest value? (a) -0.8 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -214.\nAnswer: 3\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 474814978 divided by -21582499?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -235)\/(-17) + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11504 is divided by 311.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.66 - 1.92. Let y = 5.26 + o. Which is the nearest to -0.1? (a) y (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1261656 divided by -4779\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqoququuouuq. Give prob of picking 1 o and 2 u.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 1800, 4045, 7188, 11229, 16168, 22005?\nAnswer: 28740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let k(v) = 9 + 155*v - 155*v + 27*v**2. Let r(s) = 7*s**2 + 2. Let g(z) = -2*k(z) + 9*r(z). Determine g(c(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 16 + -14 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 65 (b) 1\/5 (c) -203 (d) 3 (e) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))**(2\/103)\/((q**(-9)*q)\/(q\/q**(2\/17))))**(-18) assuming q is positive.\nAnswer: q**(-2718\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lslbslleelll. Give prob of picking 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 253 = -3*r - 42, 8*r + 77 = -63*o + 67*o + 9*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9259 is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/19 - 3568*n.\nAnswer: 2*n*(n - 33896)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2, -23\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/m**(1\/2)*m))**4*(m**(1\/3))**(-1\/9) assuming m is positive.\nAnswer: m**(-163\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8841?\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 4*m**3 - 3*m**3 + 0*m**2 + 2*m**2 - 5*m in the form u*m + z + n*m**3 + i*m**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -2. Let p(o) = o**3 + 3*o**2 + o + 2. Let f be p(i). Suppose -2*g + 15 = 4*c - g, 4*g = -4*c + 24. Solve s - c = f*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 + 2850.\nAnswer: 2850.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*-2 - sqrt(1216))*6 - ((sqrt(2299) + 0)*-4)**2) + (3 + -1 + sqrt(1900) + sqrt(1900) + sqrt(1900) - 3*sqrt(1900)*1) + 3.\nAnswer: -36779 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16217, -16231, -16255, -16289?\nAnswer: -16333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r + 781 = -110*r - 78*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((151300\/(-160))\/85)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.396 + 0.806. What is the nearest to 1 in r, 5, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/14 - 2*d**3\/21 - 5*d**2\/7 - 6*d\/7 + 54. Determine q, given that s(q) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = h - 15 - 1, -3 = -2*k + 3*h. Suppose 4\/3*z**2 - 2*z + 2\/3 - 2*z**4 + 2\/3*z**5 + 4\/3*z**k = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -669*r**3\/4 - 8691*r**2\/4 + 119436*r - 1071 = 0. Calculate r.\nAnswer: -34, 2\/223, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15*j**2 + 828*j + 168. Give w(-55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-11 - ((3 - 7) + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*h - h + 13, -3*h + 1 = 5*t. Find the third derivative of -2*x**2 - 794*x - 7*x**5 + 7*x**t - 3*x**2 + 805*x + 60*x**5 wrt x.\nAnswer: 3180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -9*p + 4*p. Let a = -25 - p. Is (a\/4)\/((-3)\/(-204)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 54*i**2 - 130*i + 1057. What is the remainder when 2447 is divided by r(56)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35171338*-2.\nAnswer: -70342676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4312448 and 673820?\nAnswer: 21562240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 5*d - 1. Let i = 4 - 6. Let w = -11 + 12. Let s be 3\/w + (i - -5). What is p(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8432197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 7*o + 3*o + 17*o)*(-o + 5*o + 0*o) to the form c*o + b + p*o**2 and give p.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*z**2 - 15*z + 17*z**2 + 15*z - 33*z**2 to the form s*z + r + o*z**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 1. Let j(x) = 161*x**2 + x + 2 - 321*x**2 + 159*x**2. Let c(v) = j(v) - 5*n(v). Determine c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*k**3 + 0)*(-3*k + 3*k - k) - 4*k**2 + 4*k**2 - k**4)*(3 - 3 + 2)*(2 + 3 - 6)*(-147 + 147 + 19*k).\nAnswer: 114*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**3*n**(1\/2)*n*((n**(4\/7)\/n*n)\/n)\/(n*n**1\/n) assuming n is positive.\nAnswer: n**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 122952 divided by -8\nAnswer: -15369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24940 - 25503 = -c. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-369)\/(-21) + (-1 - 18\/(-42)). Suppose 10*o + 37100 = b*o. Round o to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341121, -343904, -346687, -349470, -352253?\nAnswer: -355036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - (-5)\/30*28. Solve 4*c + 7 = -a*q, 3*q - 6*c + 19 = -c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 21*p + 18*p + 5 = 0, i - 3*p + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -5*l**7\/42 - 17*l**5\/20 - l**3\/2 - 408*l. What is the second derivative of v(r) wrt r?\nAnswer: -100*r**3 - 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 50854*x + 864227. What is h(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*c**2 - 4649*c**4 + 42*c**2 - 4*c - 384 - 3*c + 6*c wrt c.\nAnswer: -55788*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**2\/2 + 1. Let x be o(1). List the prime factors of (-1)\/((-3)\/6*x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eju when three letters picked without replacement from {y: 4, z: 2, u: 2, e: 1, h: 2, j: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9.5. Let z = -0.1 + 0.17. Let w = 27807 + -27806. Sort z, g, w, 4 in increasing order.\nAnswer: g, z, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. Suppose a*n + 5 = d, 5*d + n = 75 + 54. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013941 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 9*k**2 - 9*k - 11. Let i be t(-8). Let n be (-2 - -1)\/(3\/9). Let l = -2 - n. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556546153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**3\/6 - 4*c. Calculate the remainder when 10 is divided by b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*y + 11 = 0, -c - 10 = -y - 12. Suppose 0 = -5*r + 17 + 3. Sort r, -5, c in descending order.\nAnswer: r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1946 + -1945. What is the third biggest value in 0.72, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507625 - 507482. Suppose -j = -3*h - 22 - 6, 5*j + 4*h - 45 = 0. Calculate the greatest common factor of r and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k + 1 + 7 + 0*k + 8*k. Let m = 2 - 8. Let n be d(m). Solve -n*t + 7 + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -136*k - 224. What is the remainder when c(-4) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 6 - 11*s**2 + 14*s**2 + 1.\nAnswer: 3*s**2 + 10*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.75 + -20.84. Let b = z - -11. Let a = b - -4.09. What is the nearest to 1\/4 in a, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/19 + 53\/114. Which is the second smallest value? (a) f (b) 0.047 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189304?\nAnswer: 2, 148663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/3)*w*w)\/w)\/(w**(-4)*w)*(w*w**(-1))**(-21))\/((w\/(w**(-1\/9)*w))\/w*w**(3\/7)*(w**(2\/7))**18) assuming w is positive.\nAnswer: w**(-64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 - (-1)\/1). Let l = 0 - r. Let h be -69 + 78 + -1 + -2. Solve l = 3*q - 15, -5*b = 5*q - h + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -554 - -1613. What are the prime factors of n?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1076065\/28262844 + 2\/261693. What is the common denominator of -61\/756 and r?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1044.\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 53036 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -94063 (base 11) to base 8\nAnswer: -413712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a64277b + -8?\nAnswer: -a642787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + (sqrt(720) - (sqrt(720) + 2)) - 3*(-2 + sqrt(720)))**2 + 4.\nAnswer: -648*sqrt(5) + 6562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 3)*1 - 8. Let z be -2 + 3\/(c\/(-10)). Determine s so that 0 + 4*s**2 - 5\/2*s**z - 2*s + 1\/2*s**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/88*(-1)\/2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p + 55. Let f = -10 + p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)\/y)**(10\/17)\/((y*y**(1\/2))\/y**6))**(-3\/5) assuming y is positive.\nAnswer: y**(-369\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 0, -4*n - 3278 = -7*n - 2*c. Suppose -g = -5*s + n, -6*s - 631 = -9*s - 4*g. What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/59402 and 29\/10?\nAnswer: 297010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*k**3 + 14*k**2 - 14*k**2)*(2*k - 6*k - k + (-k - k + 3*k)*(-4 - 2 + 4)) in the form m*k + u*k**4 + w*k**2 + g*k**3 + h and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2485395*f**2 + 246*f - 1877 wrt f?\nAnswer: 4970790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -6 + (5 - -1 - 10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 8495928?\nAnswer: -8495930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 5) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (2 + -3)) + 13. Suppose 0 = b - 5*f + f + 2, 5*b - k = -3*f. Let j(i) = 2 + i - i**3 + 2*i**b + i**2 - 6*i**2. Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153\/5 - -31. Let b(o) be the second derivative of -5*o - 3\/2*o**4 + 2*o**3 + 0 - o**2 + v*o**5. Let b(d) = 0. What is d?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 2887061*f**2 + 2889711*f**2 - 5776769*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 10. Suppose -3*a = v - 49, -4*v - 1 = a + s. Let o(r) = -8*r - 12 + 30 - a. Let f(c) = -6*c. Calculate o(f(q)).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459\/(-51) + 715\/99.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 54. Let v be (2\/(-4))\/(1\/(-18)). Let w = v - d. Solve 0*u + u - w = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (4 + -5 + -1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -209969532.6 to the nearest ten thousand.\nAnswer: -209970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllflflllflflf. What is prob of sequence flll?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 6*r - 21. Suppose 2*z = x + 15, 4*x = -5*z + 3 - 24. What is the lowest common multiple of 2 and s(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 - 2*b**2 + 2*b + 2. Let w be d(2). Solve 4*x + 37 = 5*q, -x = -0*q + 5*q - w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113780279 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cec. Give prob of sequence ecc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85? (a) -7 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 3*y + 4. Suppose -2*b - 6 = a, a = -5*b - 0*a - 15. Let i(s) = 2*s + 3. Let w be i(b). Let c be l(w). Solve -2*f - 2 - c = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 303, 5, 63, 1 in increasing order.\nAnswer: -0.02, 1, 5, 63, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21043*z**4 + 8448*z**2 wrt z.\nAnswer: -505032*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 + n + 2. Let v(p) = 257*p**3 + 12*p**2 + 6*p + 12. Give -6*h(s) + v(s).\nAnswer: 263*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -7*h**3\/6 - 7*h**2\/2 - 2*h. Let c be -15*((-2)\/5)\/1. Let l(r) = 9*r + 6*r - 10*r + 6 + r. What is c*l(u) + 5*z(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 5*d - 27. Let g be k(0). Let c be (-36)\/g*(1 + (-2)\/(-4)). Sort -25, c, 0.\nAnswer: -25, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -624 by -1063.\nAnswer: 624\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/20 or -687287?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + -1 + 1 + sqrt(288))**2 + (sqrt(144)*2)\/sqrt(8)*-1.\nAnswer: 90*sqrt(2) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.04496\nAnswer: 0.08992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g. Let w(p) = -6*p - 2 - 7*p - 4*p**2 + 8*p - 3. Let i(x) = -3*x**2 - 4*x - 4. Let j(q) = -5*i(q) + 4*w(q). Calculate j(d(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 - 36174*g + 253136. What is r(7)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298260?\nAnswer: 2, 5, 139, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 1 + 1)*(-3 + 5 - 1) - 3 + 0 + 6 + (3 + 0 - 1)*(2 + 3 - 1) - 1 + 3 - 1)*(-h**4 + 3*h - 3*h).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 59*z**2 - 4*z + 5. Is y(1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p - 33. Let q(r) = -16*r - 39. Calculate 3*n(l) - 2*q(l).\nAnswer: -25*l - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223922130.\nAnswer: 2, 5, 433, 282661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -11. Let u be (1 - -1) + 0 - t. Solve -u - 5 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-2 - -5 - 1). Suppose 2*l - k = 2. Suppose 0*v - 59 = -l*v + 5*u, 0 = -2*v - 4*u + 86. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -26*-22*5\/60*3 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2 + 2 - w - 3. Let u(x) = -7*x + 11. Let a(v) = 5*p(v) - u(v). Let z be a(7). Solve -t = -2*t + 2*k + 2, -t + z = -4*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 74*o**2 - 192*o**2 - 13*o + 7*o + 6*o in the form u + r*o**2 + x*o and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 = 2*a + 5*r, -3*a + 2*r + 2 = 0. Solve a = -51*g + 86*g - 210 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83025\/11745 - (-1 + 8)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/5)*h)**41*h\/h**(2\/13)*h\/(h\/(((h\/(h\/(h\/h**(1\/2)*h*h*h*h)))\/h)\/h)) assuming h is positive.\nAnswer: h**(13227\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - w + 12, -123*u + 126*u = -3*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/147 and 44\/7.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -7*w**5\/60 + 11*w**4\/4 - 5*w**3\/3 + 33*w**2 - 1. What is the smallest common multiple of j(8) and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9633577 + 3\nAnswer: 3.9633577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*j = 5*g - 66, 5*j - 50 = -2*g. Let m be 3*(-7)\/(-12)*g. What is the greatest common divisor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76618040.\nAnswer: 2, 5, 1915451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*x - 7*x. Suppose -8*q = -x*q - 4. Suppose 7*w = 5*w - 2. Put q, w, 0 in increasing order.\nAnswer: w, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 74*g. Let x(c) = 31755*c. Determine x(z(t)).\nAnswer: 2349870*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 1.4. Let g = -3 + 7. Let h = 6 - g. Put k, h, -2\/11 in decreasing order.\nAnswer: h, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2929 * -463\nAnswer: 1356127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 389 = 5*o, -5*w = -8*o + 3*o - 490. Let d = w - 59. Calculate the highest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = m + 3*k, -k = 57*m - 52*m - 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6001, 24015, 54039, 96073, 150117, 216171, 294235?\nAnswer: 384309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56343, -56344, -56345, -56346?\n\"Answer: -h - 56342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11343266887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4 + (-4 + 3 - 1)*(2 + 1 - 4))*(424*u - 1024*u - 912*u).\nAnswer: -6048*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 5*h**2\/2 - 3. Let n(z) be the first derivative of z**2 + 1. Give n(l(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a week in minutes?\nAnswer: 68880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4412 - 423?\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/69 or -526?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*j*m**2 + 2*b*j*m + 6*b*m**4 - 4*b - 11*j - 5*m**5 - 2*m wrt m.\nAnswer: -6*b*j + 72*b*m**2 - 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1571*s + 3135*s - s**3 - 15*s**2 + 47 - 1561*s. Give o(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/((-4)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-6)*-2 + -5. Which is smaller: h or 3\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12\/11))**(-1)*h*h\/h**32*h**(1\/14) assuming h is positive.\nAnswer: h**(-4441\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8109221609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1417443840 to the nearest 100000.\nAnswer: 1417400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 - (-6 + -3 + 3). Calculate the greatest common factor of w and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 58*z - 48*z. Let u be ((-3)\/z)\/((-7)\/14). Solve 6 - 2 = 4*j, -t = u*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204 (base 5) to base 9.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*v + 144*g - 141*g, -3*v = g - 144. What is the remainder when 156 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 20*i - 18.\nAnswer: -2*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*h + 30, -x - 2*h = -2*x + 1. Let v = -3 - -6. Sort x, v, 2.\nAnswer: x, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53088389933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 10870*n + 5907845 = 0. What is n?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381546 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:34 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose -4*u - 2 = 3*p - 3, -4*u - 23 = -5*p. Suppose -q + 6*q = -2*r - 13, -p*r = -2*q - 9. Which is the smallest value? (a) -5 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2453?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 + 10*h**2 - 9*h. Let f be q(1). Let v be (-13 + 13)*2\/f. Let d(z) = -11*z + 1. Let k be d(-1). Solve v = -w - 3*w - k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 128*w**3 - 2 + 12*w + 124*w**3 to t*w**2 + v*w + l + f*w**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.13 or 140.1?\nAnswer: 140.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/19 + 160\/627. Let z be (-33)\/(-99) - ((-39)\/63)\/(-1). Which is the closest to 1? (a) 0.1 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1897.799 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*n + 8 + 11, -t - 4*n = -17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25122355 (base 7) in base 13?\nAnswer: 6108ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/3)*j)\/(j*j\/(j*j**7*j)*j))\/(j**8\/j**(2\/15)))**(9\/2) assuming j is positive.\nAnswer: j**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-9) - (5 - 1). Which is the nearest to 0.1? (a) s (b) -7\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8704 = -21*r + 1166. Let f = -385 + r. Calculate the greatest common factor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*l + 3*l - 4, -5*l = 22*m + 108 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 4 + -6 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -15642.8\nAnswer: 3128.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180310 and 140452.\nAnswer: 13342940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -13, 4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 136*d - 821. Give c(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:04 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 6 - 2 + 1. What is the remainder when ((-1)\/4)\/(-4 - 376\/(-96)) is divided by z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203 - -206. Suppose 0 = t*s - 8*s + 25. Solve -10*y + s = -9*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 bigger than -256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.48, -1, -83\/8, 0.3, -2\/11 in decreasing order.\nAnswer: 0.3, -2\/11, -0.48, -1, -83\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 5*g. Let s be b(-5). Solve z - n = -5, -5*z - s = -n - 0*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(64\/(-928) - (-5615108)\/81420748) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/60 + y**2 - 5*y. Let l(t) = 5*t**2 - 5*t. Determine l(g(v)).\nAnswer: 5*v**4 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23202120002 (base 4) to base 13.\nAnswer: 81b7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -3, 6, 4\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.202048 - -5?\nAnswer: -1.202048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 118 and 117 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344039027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/4 + 14*t**3 - 579*t**2\/2 + 2618*t - 34969\/4.\nAnswer: -(t - 17)**2*(t - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3657.82398 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16134 - 14119.14773?\nAnswer: -30253.14773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g**3 - 8*g**2 + 5*g + 6. Let x be j(6). Let o be (-1790)\/x - 4\/8. Let f = -3\/73 - o. What is the nearest to 1 in f, 5, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -104*l. Let r = -46 + 50. Let g(p) = 3*p**2 - 3*p**2 - 2*p**2 + r*p**2. Determine g(k(n)).\nAnswer: 21632*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -5*a**5\/2 + a**4\/3 - a**3\/6 + 3*a**2\/2 + 16*a. Suppose 4*i = 8*i + 16. Is c(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + j = i + 179, 3*i - 135 = -j. Is (-554)\/(-8) + (-11)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2978.246 meters?\nAnswer: 2978246000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2410 - 6?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o + 3*o)*(o + 0*o + 0*o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2. Let n(h) = 4*h**2. Let z(t) = -4*i(t) + 5*n(t). Let g(m) = 23*m - 2. Determine g(z(s)).\nAnswer: 92*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - 12. Let i be (3 - 0) + 3\/y. Let h(l) = -l**2 + 4*l**2 - 3*l + 0*l**2. Give h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602238139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**3 - 32*p + 26*p**3 - 19*p**3 + 0 + 2 + 11*p**3 + 0.\nAnswer: -3*p**3 - 32*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (6 - (-6 + 9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivbkcim. Give prob of sequence bk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v - 1, -5*v = 4*u - 62. Let r(t) = t + 17. Let c be r(-13). Suppose -c*x = x - 170. Calculate the remainder when x is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4)*(15 + -13). Is 40 a factor of (92\/6)\/(k - (-2199)\/(-315))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -591880 by 2.\nAnswer: -295940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l - 4. Let r = -174 - -167. Let b(p) = -2*p**2 - 7*p + 7. Let o(s) = r*f(s) - 4*b(s). Let h(u) = 138*u**2. What is o(h(j))?\nAnswer: 19044*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -161 - 10. Suppose -r = 3*i + 5*x, 3*x + x + 12 = -4*i. Find the second derivative of -19*c**2 - c + 2*c + 51*c**i + 16*c wrt c.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-1 - (-25)\/15). Differentiate -9*d**2 - 15*d**4 - 36 + 6*d**2 + 3*d**w wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 54 = -2*f, -f - 27 - 4 = -5*x. Let p = f + 30. Solve t - p*t = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -38 - (0 + 3) - -9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -538629.\nAnswer: -1615887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 24. Let g(w) = w - 12. Let o(y) = -5*g(y) + 3*u(y). Let a be o(10). Calculate the common denominator of (5\/((-90)\/34) - a)*23 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 36 = 0. Let v be 129 - (3 - (-5 - (-2 + -7))). Let k = -126 + v. Solve -4*t = -k*f - d, -7 = f + f - t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193\/3 + -65. Let d be ((-3)\/(-27) - 0)*-102 - -11. Sort d, 5, c, -2\/13 in ascending order.\nAnswer: c, d, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-172)\/903)\/((-46)\/21)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049085309 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1311, -862, -15 in descending order.\nAnswer: -15, -862, -1311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 26. What is the remainder when 14\/(3 + 26\/u) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6552733ml in litres?\nAnswer: 0.0006552733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 25*k**2 - 9*k - 232. What are the prime factors of u(12)?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u + 4*k = 20, 23 = -5*u + k. Let t(b) = -b**2 - b + 1. Let y be t(2). Let v = y - u. Put 0, v, -4 in descending order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/2 - 1435*f**3\/2 - 258476*f**2 - 768984*f = 0?\nAnswer: -716, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -510737 times 0.18\nAnswer: -91932.66","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.068 (b) -8 (c) 1 (d) -1 (e) 1.82 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwewegzpg. What is prob of picking 1 p and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 82 = -118. Find the third derivative of -16*h**6 - 176*h - 54*h**j + 30*h**2 + 178*h - 5*h**6 wrt h.\nAnswer: -9000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u**2 + 19*u + 10. List the prime factors of h(8).\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*y**2\/7 + 14271288*y\/7 - 2828745294152\/7.\nAnswer: -2*(3*y - 1189274)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + 1*((sqrt(204)*-2 - sqrt(204)) + sqrt(204)) + 5*sqrt(204)*1)\/((sqrt(12) - sqrt(36)\/sqrt(147))*-5) + 4)*4.\nAnswer: -56*sqrt(17)\/15 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82*260\/2665 + 558\/(-70).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 1, 2\/13, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61811273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -784, -1983, -3932, -6817, -10824, -16139?\nAnswer: -22948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 205 times 430.86\nAnswer: 88326.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:49 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313073693*r**3 - 13*r - 6699946?\nAnswer: 1878442158*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 10*s**4 + 2307*s - 2310*s + 0*s**3 + 2*s**3 - 5 + 8*s**4 in the form v*s**2 + b + x*s**3 + i*s + m*s**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by 73.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqveqqnvepp. What is prob of sequence ep?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/8 and 71\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 8683532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 2:33 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 1, f: 1, d: 1, g: 1}. Give prob of picking 1 d, 1 p, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -42*r**2. Let u(h) = h - 1. Let l(b) = 2 + 22*b - 1 - 21*b - 3. Let q(f) = l(f) - 2*u(f). Determine i(q(o)).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 45. Solve -5*o + t + 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -4 (b) 27 (c) 3 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (7 - -1 - 1). Let n = 4.31 - -0.49. Let r = n - 5. What is the nearest to 8 in r, -4\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 22*y**3 + 172*y**2 - 2*y - 8. What is j(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 - 102*q**3 + 195*q**2 - 96*q = 0.\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + g + 3. Let t(r) = -r**3 - r**2 + r + 1. Let b(x) = -k(x) + t(x). Suppose -5*w + 3*j + 10 = 0, 4 = 4*w - 2*w + 4*j. Determine b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -8*w + 840. Suppose 5*m - 4*m + 4*f - w = 0, 0 = m + 5*f - 118. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 4*h + 17 - 2 - 11 + 22. Let t be d(12). Let m = 71 + t. What is the least common multiple of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1856 and 0.061696?\nAnswer: -114.507776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - ((144 - 125) + (3 - 6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001736922435 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 716501034 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2846659 by -1.\nAnswer: 2846659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) + 3*(sqrt(156) + -2*sqrt(156)) + 1*sqrt(156)*3))\/(2*(sqrt(1452) + sqrt(1452)*-1 + sqrt(1452))*3).\nAnswer: sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*q + 2360 = 0, 2*n - 4*q - 3100 = -2*n. Let i be (-1)\/2*(4 - 4)*1. Suppose 4*a - n = -i*a. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*g + 91, 0 = -4*j - g + 39 + 57. Calculate the remainder when 72 - 2*(-2 + 1) is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + -1 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005006 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 7. Let u be (-6 + 2)\/(m\/(-2)). Let y be 2\/u + (-5)\/(-2). Solve b + 6 = -y*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) - ((-34)\/(-10) + 2). Let b be (0 - h)*(-6 + (-188)\/(-20)). Solve -t = -5*a - 23, -3*t + 5*a + b = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/9)\/((-2)\/(-15)). Let l be (s\/(-45))\/(4\/6). What is the second biggest value in -1\/7, 0.5, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 57. Let a = b + 15.2. What is the smallest value in a, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -286*n - 5719. Calculate b(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/9)*u*u)\/u**3)**(-47\/3)\/((u**(-2)\/u)\/u**(-3\/4))**32 assuming u is positive.\nAnswer: u**(1756\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395426 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**2)**46\/(g**(-2\/37)*g**(4\/19)) assuming g is positive.\nAnswer: g**(96904\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (342 - 342 - 13*m**2)*(-4 - 2 + 4) + (3*m - 3*m - m)*(3 + 4*m - 3).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/21*6\/4. Suppose 0 = -j*o - 5 + 1. Let v(c) = c**3 + 4*c**2 + c + 1. Let x be v(-4). Is x at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2124 = -2*d - 572. What are the prime factors of d?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - o - 40, 0 = -3*n - 3*o + 8 + 16. Let z be 10\/3*n\/(-8). Let p(c) = 2*c + 3*c - 6*c + 2 - 4. What is p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107701279 and 9653.\nAnswer: 753908953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o**(10\/7))**(-25)*((o\/(o\/((o*o\/o**(-8))\/o)*o))\/o**(-4\/3))\/(o\/((o*(o\/(o\/(o*o**(-1\/3))*o))\/o*o)\/o)*o*o\/(o*o\/o**(-7)*o*o)) assuming o is positive.\nAnswer: o**(-306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**4 - 20345*q**3 - 60985*q**2 + 20345*q + 60990 = 0.\nAnswer: -4066, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -25) + 1 + 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g - 6*g - 13*g - 3*g - 1 + 1 + (0*g + 4*g - 2*g)*(5 - 5 - 2) - 2*g + 2*g - 2*g + 0 + 0 - 2*g - 3 - g + 3 + 14*g - 5*g + 11*g as q + y*g and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djvt when four letters picked without replacement from {j: 1, d: 4, t: 5, v: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4*s + 4. What is n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - (-27 + 39)) + 7 + (0 - -67).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 41*p + 230. What is the remainder when d(-22) is divided by 317?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 3*k**2 - 3*k**2)*(5*k**3 - k**3 + 2 - 3*k**3 + (-3 + 1 + 5)*(0*k**3 - 4*k**3 + 3*k**3)).\nAnswer: -4*k**5 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 10 = -4*k, -5*k - 2 = -9*k + 3*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 54 = 9*n, -3*p + p + 3*n = -4*p - 0 + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27430 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 310782, 310443, 310102, 309759, 309414?\n\"Answer: -s**2 - 336*s + 311119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8012236 years?\nAnswer: 0.0008012236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**3 - 4*v**2 - 4*v + 6. Let p(z) = -10*z**3 + 3*z**2 + 3*z - 6. Let k(u) = 3*i(u) + 4*p(u). Find the first derivative of k(s) wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2053728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*k = 330, -4*r - 5*k - 124 = 536. Let j = r + 181. Solve 0 = -2*f + 2*l, -3*f + f = 2*l + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23623023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u. Let k(a) = -2*a**2 + 4*a - 5. Let d be 48\/(-15) - -3*4\/60. Let q(m) = d*v(m) + k(m). Calculate q(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.1 * 16166\nAnswer: -389600.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-16*a + 2 + 2*a**2 + 16*a) in the form t + f*a**2 + c*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 12*t**2 - 10*t + 1. Let o(l) = -l**3 - 2*l - 4. Let a be o(-2). Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 7*n**3\/3 - 20*n - 12. Differentiate q(l) with respect to l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 416868.2 years?\nAnswer: 416.8682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/2)\/(12\/(-1296)*-12) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-17)\/x)*x*x)\/x)\/((x**(2\/9)\/x*x)\/x))**(-12) assuming x is positive.\nAnswer: x**(-748\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Suppose v = 3*v. Sort 3, s, v.\nAnswer: v, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 131. Let i be x(32). Suppose -5*s + 0*s = 0. Suppose 19*v = -15 + 110. Sort s, v, i.\nAnswer: s, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 - -5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcqcycyqqqycqqqcyqq. Give prob of sequence qyyy.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -2066176?\nAnswer: 2066172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -52*r + 166. Let d be (-6)\/(-162)*18 - (-14)\/6. Let g be q(d). Solve 3*o + n + 1 + 4 = 0, g = 3*o - 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 166475 - 35138 + 2*d**3 - 231247.\nAnswer: 3*d**3 - 432860","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-447)\/2086)\/(17\/14).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -20*w**4 + 110*w**3 - 6*w + 3169. Let s(a) = 3*a**4 - a**3 + 3*a + 1. Let z(b) = k(b) + 2*s(b). Find the first derivative of z(v) wrt v.\nAnswer: -56*v**3 + 324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 1, 0 in decreasing order.\nAnswer: 47, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 8?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468504 (base 10) to base 13.\nAnswer: 13532a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/57984 and -79\/84808848.\nAnswer: 678470784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1234410 + 1?\nAnswer: 1234411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -985, -968, -943, -904, -845, -760, -643?\n\"Answer: d**3 - 2*d**2 + 16*d - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*t + 52 = -t, 3*r = t + 20. Find the third derivative of -21*f**2 - 11 + 9 + 3*f**6 - r*f**6 - 2*f**2 - f**4 wrt f.\nAnswer: -600*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -22 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12542, 25069, 37584, 50081, 62554, 74997, 87404?\n\"Answer: -r**3 + 12534*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 3*u**2 - 6*u**2 + (1 + 0 + 0)*(-u**2 - 3*u**2 + 2*u**2) + 98 - 40 - 55 - 30*u**2 to the form w*u**2 + p*u + i and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -5*-2*sqrt(104) + sqrt(104))\/(sqrt(80)\/(sqrt(10)*-2)) + (5 + sqrt(1872) + sqrt(52) + sqrt(52))*-3.\nAnswer: -72*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1635, -1911, -2191, -2475, -2763?\nAnswer: -3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.4, -0.12, 0.1, -5, -217?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(((m*m**(-6\/11))\/m*m*m*m)\/m*m*m*m))**14)**(-2\/11))**7 assuming m is positive.\nAnswer: m**(5292\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -69. Sort n, 1, 4, 2.\nAnswer: n, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 8:01 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -2.95. Suppose 2*n + u - 16 = 0, 3*n + 39 = 8*n + 2*u. Which is the closest to p? (a) n (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from snsssnsnnnnnnnsnnn.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(8\/5))\/h)*h*h\/(h**(-1\/7)\/h)*h)\/(((h**(-2\/11)*h*h)\/h)\/h)**(-3\/28) assuming h is positive.\nAnswer: h**(2713\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9008000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818846 is divided by 7311?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494506 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 383894 and 3808.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -9 - -31) + -17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -21. Let u = -2.02 + 0.02. What is the closest to u in v, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 32*s**2 - 30*s + 45. Let x be u(-31). Let b be x\/4 - (49\/(-14) - -4). Solve -b*w + 1 = t + w, -4*w + 6 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1820266\/5 or -364052?\nAnswer: -1820266\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*c**3*q - 2*c**2*q - 8*q wrt c?\nAnswer: 294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47764 by -5.\nAnswer: 47764\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = 5*v - 75, -3*o - 15 = 0. Let l(k) = -k**3 + k**2 + 2. What is the lowest common multiple of v and l(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1061 + 3?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101a (base 16) in base 15?\nAnswer: 134c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -120672 (base 9) in base 10?\nAnswer: -72722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105598, 105626, 105654?\nAnswer: 105682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 52. Calculate the remainder when 169 is divided by p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176431.\nAnswer: 176431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6411, 5, 935.\nAnswer: -6411, 5, 935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 3*q)*(13 - 4 - 2).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 1. Let l be f(-2). Let p(c) = c**2 - 145*c + 2065. Let i be p(16). Put -5, i, l in descending order.\nAnswer: l, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:20 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 2*y - 1. Let k(t) = 8*t**2 + 7*t - 4. Calculate 2*k(g) - 9*r(g).\nAnswer: -2*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Suppose -130 = 2*j + 3*j. Let y = 3648 + -3653. Put y, -1, j in descending order.\nAnswer: -1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 328, 327?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19218 - -16220. Which is smaller: v or -3000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:50 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 68 = 9*f + 10*l, 0 = -5*f + 3*l + 50 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2972)\/(-24) - 10\/12) + -58 + 44 + 1\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 + 357188*s + 2143056 = 0.\nAnswer: -178588, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (4 + -26 + (10 - -19))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1800\/2625 - (-4)\/(-10). Let o = -11.6 - -12. What is the fourth smallest value in g, o, 0.05, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-120)\/(-16) - -11439 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64, 72, 84, 100?\n\"Answer: 2*f**2 + 2*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:10 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 12709290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 19 = -19 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2268))**2 + sqrt(63).\nAnswer: 3*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2783 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 27. What is the second derivative of 9*c**4 + 2*c - c + m*c wrt c?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308827 (base 13) in base 10?\nAnswer: 1132840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261130 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15146754*n**4 - 22374808*n?\nAnswer: -181761048*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1\/1 + -2. Let k be (l\/4)\/(2\/8). Suppose -13 - k = -3*x - 4*a, -x + a = -7. What is the greatest common divisor of x and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4\/5 + 837*w**3 + 1945842*w**2\/5 + 310775724*w\/5 + 3980843496\/5 = 0.\nAnswer: -553, -414, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffdffffdffffdff. What is prob of sequence ff?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/((-12)\/(-28))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5632*q + 542317. Determine p(98).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, q: 8, v: 5}. Give prob of sequence qnvq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 52. Calculate the remainder when 1256 is divided by d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -51. Which is the third biggest value? (a) -2 (b) q (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 88*r**2 - 7*r + 33. Is a(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12236 (base 7) to base 6.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -q - 17838. Let y = q + -1351. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u + 5*u**2 - u**2 - 3*u**2 + 4. Let x(j) = 7*j - 4. Let t(d) = -15*d + 9. Let f(p) = -6*t(p) - 13*x(p). Let s be f(3). Give n(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194974237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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 l(j) = -36*j + 9. Let t(b) = 37*b - 8. Let n(g) = 6*l(g) + 5*t(g). What is the hundreds digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*r*z**4 - 2*r*z**3 - 3496762*r*z**2 + 3749*z**4 + 2*z**3 wrt z.\nAnswer: -216*r*z - 12*r + 89976*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 174*y**3 - y**2 - y + 2. Let g be d(1). Suppose -5*r - 3*c + g + 281 = 0, c = -5. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - u - 3)*(3*u - u + 0 - 3) + 4*u**2 + 0*u**2 + 2*u**2.\nAnswer: 4*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170519 is divided by 80.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27317237 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = -5*k. Suppose 2*v + o - k = -10, 0 = -5*v - 3*o - 23. What is the units digit of (-402)\/(-33) - v\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6707 + 8806. List the prime factors of i.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c**(-7))*c)\/c**(-2\/5)*c**(-2\/13)*c*c**(-8)\/c assuming c is positive.\nAnswer: c**(16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -4, -1028, 1\/2 in descending order.\nAnswer: 4, 1\/2, 0.2, -4, -1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 - 5*a**3 - a**2 - 456*a?\nAnswer: -24*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and 103\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2096 divided by -9\nAnswer: 2096\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(33))\/sqrt(3)*-5 + -1 + 0 + 4 + sqrt(176) + 4)**2.\nAnswer: 196*sqrt(11) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 34*m + 15857 - 15865, -4*s - 11 = -3*m - 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2694 and -59\/12.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r + 11. Let y be a(-5). Let t = y + -27. Put t, -4, 1 in increasing order.\nAnswer: -4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*g + 965752 - 969106 = 0 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*w - 2*w**2 - 25*w**2 + 200*w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.3, -4, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 3. Suppose 0*p - 5*p = 2*w - 595, -q*w = -5*p + 570. Let h be -1 - -10 - (-512)\/128. Calculate the highest common divisor of h and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*i**3 - 358*i**3 + 346*i**3 + 368*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d - 3. Let c be (66\/15)\/(7\/(-35)). Let a = -25 - c. What are the prime factors of t(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 3*b)*(-4 + 1 + 1) + (3 + 6 - 2)*(2*b - 4*b + b + b - 5*b + 3*b + (1 - 3 + 0)*(2*b - b + b) + 55*b - 136*b + 50*b).\nAnswer: -263*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5953 + -8.1951.\nAnswer: 5944.8049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3*x**2 + 7. What are the prime factors of a(5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 2*a**2 - 18*a - 10. Let f be l(-5). Suppose -5*d = g - 465, -251 = d - 4*d + f*g. Calculate the highest common divisor of 69 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 2*x = 975. Calculate the remainder when x is divided by 14\/5*(1 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -702009 - -111509. What is l rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g. Suppose -b - b + 10 = g. Solve -3*i = 2 - b, 11 = 2*x + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 - 2*r**5 - r**5 + (-12 + 2 - 4)*(0 + 0 + r)*(-r**4 + 3*r**4 - 5*r**4).\nAnswer: 40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 4. Let l(f) = 33*f**2. Calculate l(u(b)).\nAnswer: 132*b**2 - 528*b + 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - 1149\/(-12) - 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255.35 - -255.45. What is the biggest value in 134, k, 0.05, -0.1, 1?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/3 + 14*o + 110. Let j(s) = -2*s**2 + 94*s. Give j(a(u)).\nAnswer: -8*u**2 - 188*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -14, -50, -110, -200, -326, -494, -710?\n\"Answer: -h**3 - 3*h**2 - 2*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10530 and -151\/108?\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 61*v + 268 + 39 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*w**4 - w**2 - 4*w + 37*w**4 + 2*w**2 - 107*w**4 + 3 + 34*w**4 to a*w**4 + r*w**2 + b*w**3 + f + z*w and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2833887 divided by 944629.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 108136.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**5\/7 + 38*v**4 + 4194*v**3\/7 + 6038*v**2\/7 - 19972*v\/7 - 22080\/7 = 0.\nAnswer: -115, -16, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 13*g**2 + 7*g + 5. Let h(u) = -2*u**2 - 5. Let w(k) = -3*h(k) - q(k). Determine w(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zwiwziiwwi.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(154) - (sqrt(154) - (sqrt(154)*-1 - sqrt(154))))\/sqrt(11))\/(2*sqrt(18)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255 (base 8) in base 16?\nAnswer: -aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*h - 2472294. Let g = -644049 + h. What is g rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3969 and 8181.\nAnswer: 400869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 4. Let n(a) = -a**2 - 9*a - 2. Let j be n(-8). Suppose j*f + 5*p + 25 = f, -p - 9 = 2*f. Let g(y) = 1. Determine f*g(d) + m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 5:41 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 153. Calculate a(-43).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:13 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m. Let q(l) be the first derivative of 13*l**5\/60 + 10*l**2 + 2*l + 62. Let n(h) be the second derivative of q(h). Determine v(n(c)).\nAnswer: 104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 516411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. Let y be 5 + -2 - q\/(-3). Which is the nearest to 0? (a) y (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 2) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, d: 7}. Give prob of picking 4 q.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 195 = 4*u - 29, 4*u = -3*i - 752. Let z be i\/(-10) - 8\/20. Suppose 7*n - 3*n = z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 798365 - 4931500592\/6177. Find the common denominator of -89\/522 and n.\nAnswer: 37062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -30*i. Let c be (-10)\/(6 - 1)*2. Let s(g) = -4*g. Give c*t(d) + 28*s(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 12.6. Let d = -7.7 + j. Let u = -12.0951 - d. What is u rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:56 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 1. Let t = -43 + 48. Let o(q) = -31*q - 2 + 41*q - 5. What is t*u(p) + o(p)?\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-10))\/((-3)\/5 + 1). Suppose -o*l = -33 + 17. Solve -b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324604 = -63*c + 328447 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - (12 + -6 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 + 98.6. Let a = 1644.95 - 1586. Let l = a + -59. Sort 0, l, u, -0.3 in increasing order.\nAnswer: u, -0.3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2496 and 25233.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 - 6*p + 1. Let b be r(-5). Let y(q) be the third derivative of q**6\/120 - q**5\/12 - q**4\/3 + 4*q**3\/3 - 33*q**2 - 315*q. Give y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 18. Let g = 5.5 - h. Let d = g + 0.5058. What is d rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 10 = -3*u. Let w be 28\/u - (-4)\/(-6). Find the third derivative of 4*p**2 - 2*p**5 - 6*p**2 + w*p**2 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**3 - x - 1. Let f be w(-1). Suppose 8*v - 26 = f. Solve 20 = -0*r - v*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 - 6)*(0*g**2 - 2*g**4 + 3*g**2 + 4*g**4).\nAnswer: -28*g**4 - 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**2 - 388*n + 68. Does 14 divide r(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1710 at most as big as -9756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 7. Let q(f) = -f. Let m(g) = -c(g) + 2*q(g). Let i be m(10). Is -4 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*f - 0*f. Let i(s) = -14*s - f + 6*s + 3*s**2 - 11*s - 4*s**2. Is 11 a factor of i(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2 + 590*o + 3920. Determine p(-7).\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/(-12 + 13). Let z be (-8)\/(-12) - 4\/6. Sort z, 1, y in decreasing order.\nAnswer: 1, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q + 7. Let l be b(3). Suppose m - l = 2. Suppose f - 4*o = 72, 0*f - 4*f + 4*o = -312. Calculate the remainder when f is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (-960)\/165)*33?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 181 - -110428?\nAnswer: 110620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 5. Let w = 471 + -476. Calculate c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 2\/5 (c) 2 (d) 0.3 (e) 103 (f) -20\/7 (g) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 65 - 5*z**3)*(-1 + 2 - 3)*(-2 + 1 - 1)*(3 - 3 - 2).\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 377\/65 - 2\/(-10). Suppose d*v + 22 = 17*v. Solve 4*b = 2*k, -v*k + 0*k - 5*b = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from lusse?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 3*t**2 - t**2 - 2*t**2 - t**2 + 4*t**2 + (0*t - 4*t - 7*t)*(4*t - 3*t + t).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 - d + 3. Let p(t) = -3*t**3 + 14*t**2 + 5*t - 15. Determine -5*m(w) - p(w).\nAnswer: -2*w**3 - 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1104 and -63\/2893952.\nAnswer: 8681856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 38*d**3 - 2*d + 1. Suppose -5*k = 10, 4*q - 3*k - 9 = q. Is t(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9513090 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*a + 85*a + 50*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 24. Suppose -c + a*c = -20. Let v(g) = -4*g - 3. Is 6 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 47 = -4*a, 8701*k + 26 = -3*a + 8706*k. Let q = 3 + -7. Sort q, 28, 1, a in decreasing order.\nAnswer: 28, a, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:39 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -k. Solve u = -2*u - 3*m - k, 4*u + 5*m = -25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, w: 1, u: 4}. Give prob of sequence ooo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23739366 rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 3*d**7\/7 - 5*d**3\/3 + 10. Find the third derivative of p(b) wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 20, 4*i + 49 = -3*a - 9. Find the common denominator of (a\/30)\/((-20)\/(-250)) and -95\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265*q**2 - 2*q + 255*q**2 + 7774 - 7775 to f + t*q + u*q**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*u = 188*u + 2336. What is the remainder when u is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(76)*5)\/sqrt(4))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.7 - -5.7. Let p = 0.1 - 1.1. Is p smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 294*g**2 - 12. Let d(u) = 4298*u. What is c(d(r))?\nAnswer: 5431004376*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291282836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 255 + 522. Calculate the remainder when 121 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u**3 - 2*u**4 - 17719 + 17943 - 6*u**3 with respect to u.\nAnswer: -8*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 680 and 660?\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**3 + 279*v - 77 - 3 + 2*v**2 - 4*v**3 - 275*v to the form u*v**2 + q*v**3 + i + c*v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/((-2)\/(-9)). Let m(h) = h**2 - h + 8. Let l be m(0). Solve p*x = 7 + l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2287 = -15*g + 16552. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -4 (c) -2\/19 (d) -0.15 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -200*y**3 - 175*y**4 - 222*y**3 + 421*y**3 + (y**2 + 0*y**2 - 3*y**2)*(1 + y**2 - 1).\nAnswer: -177*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m - 3. Let k(o) be the third derivative of -5*o**4\/6 - 3*o**3\/2 + 9*o**2. Calculate -6*k(p) + 17*z(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 9*m**2 - 16*m + 2. Let p be k(-8). Suppose -79 = -13*y + p. Let u = -2 - -63. Calculate the remainder when u is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*m - 981997 = 0, -53*m + 981995 = -p - 58*m. What is p rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 0.02 (c) -1 (d) 0.2 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1\/2 (c) 8 (d) 0.1 (e) 0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19201 + -5?\nAnswer: 191a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/20 + f**4\/12 - f**3\/6 - f**2 + 2*f. Let h be z(0). Let d = 281 - 280.8. What is the closest to d in -0.3, h, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2 (c) -2\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**5\/5 + 74*m**4\/5 + 234*m**3\/5 + 14*m**2 = 0. What is m?\nAnswer: -7, -5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 4. Let o(x) = -3*x - 3. Let d(c) = -3*k(c) + 4*o(c). Let z(v) = -2*v**2 + 0*v**2 + 4*v**2. Calculate d(z(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1745571 millimeters?\nAnswer: 0.0000001745571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -97*s - 6. Let b(u) = 20370*u + 1261. Determine 6*b(g) + 1261*d(g).\nAnswer: -97*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -46*r**2. Determine u(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.83 - 2.53. What is the third biggest value in u, -4\/5, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10019 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 202, 410, 688, 1030, 1430?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15654061 (base 7) to base 3\nAnswer: 2212112100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -7*t**4\/8 + 8*t**3\/3 - 5458*t**2. Let q(l) = -15*l. Give q(z(k)).\nAnswer: 315*k - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 29. Suppose -5*g - 1 = h - 55, 0 = 4*h + 4*g - 152. Let q = 22 - h. Is j(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbhbh. What is prob of sequence bh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*d = 216, 4*r + 4*d - 2*d - 208 = 0. Let i be -1*(-2 - -1)*9. Suppose -2*n = -5*n + i. Calculate the greatest common factor of r and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -0.563, -10.3, 5, -5, -3, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 3*u - 111 - 176*u**2.\nAnswer: -176*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-180))\/(-32*(-30)\/8640)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110581, -221158, -331735, -442312, -552889?\n\"Answer: -110577*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -57 + -126 - -190 - (3 + -3 + -50)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(192)\/(sqrt(24)\/sqrt(3)) - sqrt(24)) + sqrt(24) + sqrt(1944)*-2)\/((-5*sqrt(600))\/sqrt(3)) + -1.\nAnswer: -3 + 17*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, z: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbb when three letters picked without replacement from {q: 2, x: 4, v: 9, b: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131033022020 (base 4) to base 14\nAnswer: -1037156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, d: 6, g: 1, w: 4, b: 2, f: 2}. What is prob of picking 1 m and 1 d?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339743, -340260, -340777, -341294, -341811, -342328?\nAnswer: -342845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/34, -15\/2, 1, -0.1 in descending order.\nAnswer: 1, 0.1, -1\/34, -0.1, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f = 49*f - 1337. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 185 + 24 = -13*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.490756 rounded to two decimal places?\nAnswer: -8.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000060412 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226651)\/8607)\/((2 - 4)\/6).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/67 less than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.192913 and 39485.8443.\nAnswer: 39485.651387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 699 - 469 = 73*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8064 and 0.24.\nAnswer: -0.433536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -167. Let k = -34 - u. Which is the nearest to 3? (a) -2\/3 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3495395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1)*1 + -3. Let j = 20\/119 - -7933\/238. Find the common denominator of j and h\/(-5)*(-245)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:34 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and 2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-2)\/(-312)*8\/12*2.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -78c?\nAnswer: 77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -287496?\nAnswer: -287499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 19. Is c - -3 - 28\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980660833.\nAnswer: 853, 1149661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58145 divided by 145?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 424a - 0?\nAnswer: 424a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177.032 - 177. Let v = 0.16 - a. What is v rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + a)*(-5*a**2 + 5*a**2 - 3*a**2) + 24*a**2 - 24*a**2 + 22*a**3.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1572 and 2359834?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 219\/212, 3 in decreasing order.\nAnswer: 3, 219\/212, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -127 (b) -0.07799 (c) 36 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 2\/4. Let d be o\/((0 - 1)\/4). Solve -5*q - 3*k + 10 = 0, -6 = -4*q + q + d*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 262*m + 1054. Give x(0).\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 4. Let d be v(5). Let p be d\/3 + 2\/6. Suppose -4*y + y + 51 = p. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2614 + 2610. Which is the closest to 1\/7? (a) -2 (b) -5 (c) -6 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 11. Let r be p(-6). Let z = 9 - 1. Let d = z + r. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2542777 and 27121?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = h + 14. Suppose 0 = -h*s - 2 - 1. Suppose 2*g = -3*g. Sort 4, s, g in ascending order.\nAnswer: s, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 7*a + 22. Suppose -33 = -o - 38. Let f be j(o). What is the hundreds digit of ((-1086)\/(-15) - -2)*40\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 6, u: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 119 and 0.038.\nAnswer: 119.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 140678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.59890469\nAnswer: 0.639561876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:08 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6569 - 6560. Calculate the lowest common multiple of 1678 and s.\nAnswer: 15102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153824 - 153818. Suppose 31 = 2*h - 5*j, -5*j + 41 + 40 = 2*h. Calculate the remainder when h is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5 - 23*k + 7*k + 11*k + k**2. Suppose 4*f = -f + 25. Let j(g) = -2*g + 2. Let n = -15 - -13. What is f*j(i) + n*v(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9728753 + -0.9734. What is t rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 3847149*d**2 - d + 3847102*d**2.\nAnswer: -47*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32\/384*-33 - (0 + -3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45a0c + 474a?\nAnswer: -41292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12220, -12214, -12208, -12202?\nAnswer: -12196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580139677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/20008679?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 83565?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7 = -1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -693*i - 485*i - 87*i + 266*i - 189*i in the form c + s*i and give s.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 5, s: 5}. Give prob of sequence ppr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 5. Let d be v(4). Let w be 2 + d - (-1 + 4). Suppose t = 2*y + 12, 3*t - w*t = 5*y + 24. Put 3, 5, t in descending order.\nAnswer: 5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t + 8. Let z(h) = 2*h - 4. Let o(m) = -3*r(m) - 5*z(m). Let k(w) = w - 1. Calculate -3*k(u) + o(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4892.2 take away 0.0052?\nAnswer: -4892.2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**2 + 237*w + 1029. What is g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2793)\/sqrt(3) + 1.\nAnswer: 1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5\/7 (b) 2678\/191 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54336 divided by 6.\nAnswer: -9056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -0*j - 16. Factor -3*q**5 + 0*q**4 + 45*q**3 - 125*q**2 + 74*q**j + 18*q - 9*q**4.\nAnswer: -3*q*(q - 1)**3*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93882.\nAnswer: 2, 3, 15647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1686*p + 1716*p - 656910. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/61 (b) 3\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24170, 94466, 211626, 375650, 586538, 844290, 1148906?\n\"Answer: 23432*d**2 + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 take away 1083015935?\nAnswer: -1083015963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12057 times -88?\nAnswer: 1061016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 c when three letters picked without replacement from {p: 2, u: 2, c: 3, a: 4, g: 2}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 23. Let m be ((-342)\/o + (-3)\/15)\/(-1). Which is smaller: m or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 6486282*l - 10517963545881.\nAnswer: -(l - 3243141)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -496, -704, -930, -1180?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 4*f**2 + 2. Let h be k(4). Solve 3*x - 3*z - 12 = 2*x, z = -h*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(1275\/(-10))*-3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/15*((-231)\/2)\/11)\/(-1). Let z(v) = v - 11. What is z(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.8, -2, 3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42.00972 litres?\nAnswer: 42009.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 10 = 5*s, -4*s - 9 - 21 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/7, -3, 906.8, -1, 7 in descending order.\nAnswer: 906.8, 7, 0.5, -2\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 4*x - 5*x + (-4*x + x + 0*x)*(34 - 45 - 33) to g + r*x and give r.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/24 - p**3 + 3*p**2. Let x be a(8). Solve 2 = c - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*n - 202*n**3 - 1 - 244*n - 254*n.\nAnswer: -202*n**3 - 12*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 161. Determine l so that 2*l**2 + d + 4 + 8*l - 3 + 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 3*f - 9. Let x(m) = -m**3 - 8*m**2 + 7*m - 13. Let k be x(-9). What is the units digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5550778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4099, 8195, 12291?\n\"Answer: 4096*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 2}. Give prob of sequence vvs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 = 6, b = -5*d - 60. Let k = -604 + 603. What is the units digit of 13\/(d\/(-18)) + k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6720109?\nAnswer: 11, 610919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1.97, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19694415?\nAnswer: 3, 5, 13, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 4. Let q be k(5). Let m be ((-3)\/q)\/(1\/(-12)). Suppose -2*b + 110 = -m*b. Round b to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3)\/84)\/(10\/80)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131030 (base 5) to base 8.\nAnswer: -12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -47571*m - 47572*m + 95142*m. Let b(d) = -930*d + 1. Calculate b(f(o)).\nAnswer: 930*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 3, -1, -5, -9?\n\"Answer: -4*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(63\/(-15) - -3). Let t be (-40)\/z*12\/(-10). What is the derivative of t*d**2 + 5*d**2 - d**2 + 9 + 5*d**2 wrt d?\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1960*z**3 + 147*z**2 - 147. Let i(b) = -53*b**3 - 4*b**2 + 4. Calculate -4*a(l) - 147*i(l).\nAnswer: -49*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 4*q + 7*q - 142920*q**2.\nAnswer: -142920*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*q + 12, -25 = -2*x - x - 5*q. Suppose -10*r = 15*r. Solve 24 = -2*a + 5*f, x*a + 3*f - 4*f + 14 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8969 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 26576*v**2 + 2307356*v + 2333936.\nAnswer: 4*(v - 6556)*(v - 89)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000219875096 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8, -3*h + 46 = -4*a - 45. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llsqqlqllqqqqqqqqll. What is prob of sequence lll?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/10843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1053 + 312. Calculate the greatest common factor of p and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01177 - 1.98823. Let l = 3.43 + 0.37. Which is the closest to k? (a) l (b) -0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/24 - 5*c**3\/3 + 2151*c**2. Determine o(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**3 + 36*m**3 + 9*m**3.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Let w = 13502 + -13501. Let x(v) = 46*v + 2. Calculate w*x(f) - 3*c(f).\nAnswer: 43*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165864 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 184345100.\nAnswer: 921725500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -8. Suppose -4*r + v - t = -4*v, 3*v - 15 = 0. Suppose 2*m - 265 = -r*m. What is m rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 plus 0.105?\nAnswer: 1055.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 41 + 145 = 0. Let i(x) = -x - 2. Let t be (-74)\/8 + 2\/8. What is the remainder when s is divided by i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, j: 11}. What is prob of sequence jaa?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 4) to base 12\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110202 + -1?\nAnswer: 110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 - 2 + 2 - 1 + (7 - 2 - 3)*(0 + 1 + 0) + 4 + 1 - 4 + 0 - 1 + 0 - 1 - 1 + 3)*((-5*f + 5*f - 2*f)*(3 - 1 - 1) + 0*f - 4*f + 3*f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 + 20*r + 7. Give p(8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, 1\/4, 0.17, 1, -1, 3, 2492?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.088 - 2.414. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 15 (c) 12 (d) 2\/7 (e) 2\/379 (f) -1\/4 (g) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99\/5 + -20. Suppose -j - 2*c + 3 = 0, 5*c - 9 = -0*j - 4*j. Do j and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 2755999752.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 914 + -913. What is the third smallest value in -5, 2\/95, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*f - 15 = 0, -s = 2*s - 4*f + 22. Let k = 34 - s. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**2 + 5*u - 4. Suppose 0*x + 3*q = -2*x + 59, -2*x + 57 = q. What is the remainder when x is divided by y(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 8*q = 14*q - 71 + 158 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 36, -130, -592, -1482, -2932, -5074?\n\"Answer: -22*b**3 + 50*b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67417763492.85 + -14.4.\nAnswer: 67417763478.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108177511399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-25))\/((-5)\/(50\/36))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 4*q**6\/3 - 25*q**4\/2 - 213*q**2\/2 + 8*q + 2346. Find the second derivative of p(m) wrt m.\nAnswer: 160*m**3 - 300*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -49538*j + 148599. What is h(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14876764 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Let k = 2 - m. Solve k*v + 1 = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2873595.\nAnswer: 3, 5, 17, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 46*t - 300 = 0. Let h be (-21)\/12 + t\/20. Let w(f) = f**2 - 3*f - f**2 - 3*f**3 - 4*f**2 + 3. Let a(o) = o**2 + o - 1. Give h*a(d) - w(d).\nAnswer: 3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2. Let o(q) = 3152*q - 2. Calculate o(z(b)).\nAnswer: 3152*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/23 + -219\/253. Which is greater: 1\/6 or g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1968*a - 15749. Give l(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}