diff --git "a/data/dm_maths/full_data_2/10441_11255.jsonl" "b/data/dm_maths/full_data_2/10441_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10441_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Four letters picked without replacement from {s: 3, w: 1, a: 1}. Give prob of picking 3 s and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - s + 2 + 4)*(15*s**3 + 40 - 40).\nAnswer: -15*s**4 + 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145208930*s*w**2 - 56*s*w - 25*s + w**2 + 15*w - 84 wrt w.\nAnswer: 290417860*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1584) + -5*(sqrt(1584) + (2*sqrt(1584))**2) + (sqrt(77)\/sqrt(7))**2*2 + 3.\nAnswer: -31651 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 12*o**2 - 29*o**2 + 11*o**2 + 13*o**2.\nAnswer: 7*o**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.358484 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by 13504.\nAnswer: 53\/6752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/2 of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:27 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.31 millilitres in litres?\nAnswer: 0.08731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 7*x - 3. Let c be l(8). Let w(s) = s**3 - 6*s**2 + 5*s + 5. Let t be w(c). Find the second derivative of 0*v**2 + t*v + v**2 - 3*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, -723, -1510, -2295, -3078, -3859?\nAnswer: -4638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062138 to seven decimal places.\nAnswer: 0.0006214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let t(m) = 27. Give -2*j(b) - t(b).\nAnswer: -2*b - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*v + v + 845, 5*g + 870 = 4*v. Let k = -2\/97511 - 3022775\/3217863. What is the common denominator of k and g\/216 - (-2)\/(-8)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50525)\/(-172)*(-1196)\/(-37375)\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + m**2 - 3)*(-m + 0*m + 2*m) + 6*m**3 - m**3 - 3*m**3 + 14*m**3 + 11*m**3 - m**3 - m + 2*m**3 + m.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/52 + (-96)\/260*-5. Suppose 6*r + f*j - 14256 = -2*j, r = 3*j + 2365. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*k - 6, -4*g = -0*k - 2*k - 20. Let h = 9 - 5. Let i be 52\/(-44) + h\/22. Put 2, g, i in increasing order.\nAnswer: i, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -795, -1075, -1467?\nAnswer: -1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-3) - 20\/(-15). Let h(l) = l**3 - 2 + 114*l - a*l**2 - 114*l. Give h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 83808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptoptoyoonntttppoop. Give prob of sequence oy.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/22977 and -58\/621.\nAnswer: 22977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + sqrt(39)\/sqrt(3) + -1)**2 + 1).\nAnswer: -54 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/4 + 3\/2*r + 3\/4*r**2.\nAnswer: 3*(r - 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -745 - -752. Solve 3*q + w - 16 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227 - 21*i**3 + 464 - 693 - 11*i**2 to the form r*i**3 + x + v*i**2 + d*i and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-25))\/(3\/9). Let t = 2\/9 + -1\/45. Let v = -0.4 - -0.7. Sort c, v, t.\nAnswer: t, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*l + 903 = -9*l + 6*l. Let i(b) = 3*b**2 + 17*b - 3. Give i(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v. Let h(u) = u**3 - u**2 + u + 4. What is the units digit of h(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1479\/986 - (-110)\/(-75).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*i + 21, -4 + 7 = 5*g - 4*i. Let b = 502 + -502.1329. Let n = 0.0329 + b. Sort n, g, 0, -1 in decreasing order.\nAnswer: g, 0, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-10) + (-6 - 124\/(-20)). Is (-1813)\/(-2) + w\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714 and 69.\nAnswer: 16422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40327*r**3 + 51382*r**2.\nAnswer: -241962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/74109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -29\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15e (base 16) to base 6.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 87*i**4 + 13*i**3 - 3413*i**2 wrt i?\nAnswer: -60*i**2 - 2088*i + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*u - 5*f, -4 = -6*u + 10*u - 4*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158120 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 32843304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1531 = -7*m + 138. Let w = m + 316. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*g + 15, 4*k - 3*g - 12 = -1. Solve 0*h = k*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31576 - -1712?\nAnswer: 33388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 - 29*t**2 - 3*t - 73 + 72 as h*t**2 + z + y*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5922*m**3 + 567*m**2 - 189*m - 189. Let q(b) = 126*b**3 + 12*b**2 - 4*b - 4. Calculate -189*q(k) + 4*x(k).\nAnswer: -126*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 190 = -0*k. Let i = 949\/10 - k. Let z(x) = -x + 8. Let u be z(9). Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let k(y) = -59*y. Give j(k(i)).\nAnswer: -177*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 - (-19 - -38))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -b + 19, 0 = -2*i + 3*i + 4. Let v = -0.1 + 0.05. Let m = v - 0.15. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 56430000 = 30*p. Round p to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - y**4\/4 - y**3\/3 - 2*y**2 + 17. Suppose -10*z + 45 = -15. Calculate i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-10) - (-88)\/605) + 144\/(-264). Which is the fifth smallest value? (a) 1 (b) 10 (c) o (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-364)\/49*49\/(-14). Calculate the greatest common divisor of 897 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -2. Let h(z) = -z**3 + 13*z**2 + z - 18. Let v be h(p). Which is the closest to 1? (a) -4 (b) 2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0271 - -0.027. What is o rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2273, 2246, 2219, 2192, 2165?\n\"Answer: -27*q + 2300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(180) - sqrt(180))\/sqrt(12)*-1)\/(-2*sqrt(500)*2 - (sqrt(500)*-2*-3 - sqrt(500))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 31*k\/7 + 20\/7.\nAnswer: -(k + 5)*(7*k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1642*r**4\/7 + 14774*r**3\/7 + 39372*r**2\/7 + 26176*r\/7 - 64\/7 = 0. Calculate r.\nAnswer: -4, -1, 2\/821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3235448 and 56.\nAnswer: 22648136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -31. Suppose -3*v + 41 = v - 5*p, x = -4*v - 4*p - 4. Suppose -8*q + v*q + 1004 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 0)*(-3 - 2*b + 3) + 27*b + b - 76*b - 3*b - b + 5*b as z + n*b and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16776441, 16776437, 16776423, 16776393, 16776341, 16776261?\nAnswer: 16776147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 21. Let f be (q\/21)\/((-1)\/(-2)). Factor -8\/7*j**3 - f*j**2 - 2\/7*j**4 - 8\/7*j - 2\/7.\nAnswer: -2*(j + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -5\/2 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 37. Let m = d - -25.85. Round m to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -151.5. Let s = -3.36 + 1.69. Let v = s + c. Round v to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6 + 59*f + 5*f**2 + 5*f**3 + f**2 - 72*f. Let n be z(4). Suppose g = 6*g - n. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from tlxltlbltlxjtoxl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Calculate l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 4. Let n be k(10). Let w = n + -6. Let z = 11 + w. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.2. Let n = -2.629 + 0.169. Let v = n - -0.46. Put 6, v, l in descending order.\nAnswer: 6, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 7*s + 2*s + 0*s - 9. Let g be p(-4). Solve w + g*w = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13754808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3482398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 421, 626, 831?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:55 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1517\/23 + 66. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.2 - -16.095. Let q = m - -3.105. Which is the closest to q? (a) -3\/7 (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 681911276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 305334211.5 to the nearest one hundred thousand.\nAnswer: 305300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j + 9 = w, 2*j = -w + 9. Calculate the highest common factor of w and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 10:57 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 56*y + 233. Let j be q(-23). Let u(l) = l + 1. Let d be u(4). Solve 12 + j = d*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16752 - 16747. Solve -3*u + 3*o - 23 = 7*o, x*o - 15 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42438.582 * -18.\nAnswer: 763894.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4\/4 - 9*k**3\/4 - 5*k**2 = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 - -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2392 divided by 26.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 1:00 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*d - 7. Let c = 15 - 9. What is the remainder when c is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8970 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 5741\nAnswer: -28705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -40\/13?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13*b**2. Let r(o) be the third derivative of o**7\/2520 + o**4\/24 - 11*o**2. Let u(i) be the second derivative of r(i). Give f(u(m)).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -923 - -943. Let p = 5 - 1. Solve m - 6 + 1 = f, -p*f = -m + j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-6))\/((-4)\/(-6)). Let k = 16 - 3. Let u = k + -11. What is the third smallest value in u, -1, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivlllvvvilv. What is prob of sequence vvi?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2999055*a**3*o**3 - 23315*a*o**2 - o**3 wrt a?\nAnswer: -17994330*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26502\/(-32)*1654\/11265. Let m = -1\/6008 + a. Let p = m - -124. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1404 + -0.0762. Round q to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 97. Let x = -63.98 - -69. Let d = x + -0.02. Which is the nearest to 1? (a) -0.4 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5 + 17. Sort -5, 10, 2, t in decreasing order.\nAnswer: 10, t, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.49367 rounded to the nearest integer?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27589223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*x - 16 - 16, 4 = -2*x - 3*k. Let u(m) = 51*m - m**3 - 9*m**2 - 23*m - 38*m - 4. Calculate u(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1796392 or -4\/3?\nAnswer: -1796392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.17 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 1272*o**3 - 1268*o**2.\nAnswer: -4*o**2*(o + 1)*(o + 317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 87*j - 2*j - j + 63*j + 27*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001904 rounded to 7 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(1*sqrt(150))\/sqrt(10))\/(-3*(sqrt(15)\/sqrt(3) - sqrt(5) - sqrt(5)) + sqrt(5) - sqrt(30)\/(sqrt(6)*-1)).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7586850 divided by -68350.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/126*63\/14. Which is the nearest to -1? (a) 2\/3 (b) 0.5 (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5691 to two dps.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.26 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(170)*-4 + sqrt(170)) + (-5*-5*sqrt(170) - sqrt(170)) + sqrt(170))\/(-3*(sqrt(490)*-2 + sqrt(490)) - -6*(sqrt(490) + sqrt(490)*2 - sqrt(490))).\nAnswer: 31*sqrt(17)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.07 - -7. Let r = x - 0.43. What is the second smallest value in -5, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 10 = -g, g - 4 = -g - 4*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2230 - 5606 = -4*a + 4*i, 9763 = 5*a + 3*i. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(5 - 3 - 4)*(56*q - 56*q - 14*q**5).\nAnswer: -56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30303 + -2003031?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 844*d\/7 + 240.\nAnswer: 2*(d - 420)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14\/56*-12*(-42)\/(-27)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -6 (b) 0 (c) 3\/4 (d) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1550 or -3129?\nAnswer: -3129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0012? (a) -5\/3 (b) -4\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6 and 41\/156450684?\nAnswer: 156450684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*x**3 - 2*x + 1 - 43*x**3 + 17*x**3 to the form y*x**3 + s*x**2 + o*x + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*a - 830 = -127*a. Calculate the remainder when 341 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:08 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 92968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3849591 to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 2:17 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1411 and 197.\nAnswer: -27.7967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 665*j**5 + 9*j**5 + 647*j**4 - 647*j**4 + (-4*j**3 + 10*j**2 - 10*j**2)*(j**2 - 2 + 2).\nAnswer: 670*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131832603.\nAnswer: 11, 19, 5415467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 + -97. Let h = i - 68. Solve -5*x - h*a - 2 - 3 = 0, 0 = 4*x + 5*a + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/8)\/(9\/4). What is the closest to 1 in 5, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14529 - -0.269.\nAnswer: -14528.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 165*d**2 + 339*d - 171 = 0. What is d?\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 - o**3\/3 + o**2\/2 + o + 3. Let m be z(-1). Let u be 256\/(-40) + m\/(-5). Let t(h) = h + 8. What is t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2744, -5476, -8196, -10898, -13576, -16224, -18836?\nAnswer: -21406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from pvpspsvussvvv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/42)\/((-664)\/(-15936))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*x - 7*x**2 - 90*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + z**2 + 2*z**2 - 2 + 2 + (-2*z + 0*z + z)*(0 + 0 - z) + (1 + 2 - 15)*(-1 + 3 + 0)*(-137*z + 137*z - 10*z**2).\nAnswer: 244*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*b - 2*f - 4 = 0, -4*f = -2*b + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142778 or 141866?\nAnswer: 141866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 0)*34*1\/2. Let g(d) = 169*d - 169*d + 12*d**2 - p*d**2. Let f(r) = r**2. Determine g(f(m)).\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-20))\/(4\/1457200*5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3904 and 29\/244?\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474603 is divided by 525.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 + 25*w**4\/3 - 25*w**3 - 375*w**2.\nAnswer: -w**2*(w - 15)**2*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 58*i**2 + 120*i + 46. Calculate l(60).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.05 + 4. Let j = n - -0.75. Let d = j - 1. Which is the closest to 2\/11? (a) -0.5 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, o: 2, g: 2, r: 2}. What is prob of sequence rgop?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7057, -6334, -5611, -4888, -4165, -3442?\n\"Answer: 723*a - 7780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93200698.\nAnswer: 2, 17, 691, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 91*q + 341 = 0. Let f(p) be the second derivative of 0*p**2 + 0 + 1\/2*p**3 + q*p + 1\/12*p**4. What is the second derivative of f(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -304, -16, -0.1, -4, -3.02 in decreasing order.\nAnswer: -0.1, -3.02, -4, -16, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/29, 3\/5, 7, 66\/35, -1\/2, 0.5, -1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -163.5. Let s be (-10)\/55 - 26\/(-44)*2. Let j be (-15 + -1)*(3 - s). What is the nearest to -0.1 in 5, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1559782121 - -65.1559782611. Let l = 749 + -813. Let g = l + o. What is g rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71039813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-21))\/(((-54)\/81)\/(14\/6))*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17517.85623225 + 0.04176775. Let n = 17534 - g. Let c = n - 16. Round c to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -16. Let k = 0 - -10. Let y(o) = -o**3 + 10*o**2 - o + 9. Let s be y(k). Sort p, -3, s in ascending order.\nAnswer: -3, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b. Let k(u) be the third derivative of 0*u**4 - 1\/20*u**5 + 0*u**3 + 5*u**2 + 0*u + 0. What is k(c(x))?\nAnswer: -243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/148 and -107\/6912.\nAnswer: 255744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3*w)**2)**19\/((w**(1\/3))**(-14\/3)\/(w**0*w)**(4\/17)) assuming w is positive.\nAnswer: w**(23530\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378 take away 0.5?\nAnswer: -1378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 70.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 6*a + 50. Determine q(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 1156*c**2 - 144570*c.\nAnswer: -2*c*(c + 183)*(c + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4*2*(-6)\/45?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137503231*l**4 + 3720996*l**2 + 83 wrt l?\nAnswer: 3300077544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 33. Let v be u(21). Is -5 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.1\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188644 + -34710597\/184. What is the common denominator of q and -20\/207?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79968191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 127aa99?\nAnswer: 127aa97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 729819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 3 - -1) + (-1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 + 8*k + 10. Let l(p) = -p - 1. Suppose -25 = -15*x + 230. Suppose 0 = 3*w - x*w - 140. What is w*l(n) - c(n)?\nAnswer: -6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u**5 - 46344*u**4 + 209325*u**3 - 189366*u**2 - 209277*u + 235710 = 0 for u.\nAnswer: -970, -1, 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-4) + (-1 - 2). Suppose m*y = -2*g + 73, -4*y = -3*y + 1. What is the greatest common divisor of 114 and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-174)\/957?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/48)\/(1\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10252.\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470 + 470.06. Suppose 2*z + 2*l = z + 29, -2*z + l = -33. What is the third biggest value in z, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2. Let l(a) = a**2 + 6*a - 6. Let d(b) = -9*b**2 + 7 + 8*b**2 - 5*b + 0*b - 2*b. Let f(i) = -6*d(i) - 7*l(i). Calculate f(z(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 10. Let s(m) = -15*m - 4786. Determine s(g) - 4*y(g).\nAnswer: g - 4746","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*g + 11, -2*g + 1387 - 1374 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 107346480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*y + 10 + 11, 4*y = -5*v - 3. What is the third derivative of 3*k**3 + 2*k**2 - 6*k**3 + 0*k**y wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1106 + -1572. Let l = 471.14 + n. What is l rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 15*s**2 - 28*s + 3. Let r be l(4). Which is the closest to 1? (a) r (b) 510 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -130. What is the biggest value in -0.3, f, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 5*g**2 + 9*g - 1. Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1877, 3754, 5631, 7508?\n\"Answer: 1877*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/3 - 16*p**2 + 110*p - 484\/3 = 0. What is p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 519 or 518?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3268\/1455 + -93\/194. Calculate the common denominator of a and -89\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, a: 12}. Give prob of sequence ka.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1050 * -610165.\nAnswer: -640673250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.6825m to kilometers.\nAnswer: 0.4906825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112065 > 112065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 428 = -140. Let q be 4\/((y\/(-140))\/((-12)\/10)). Calculate the highest common divisor of q and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/132 and 13\/79024.\nAnswer: 237072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-2*v**4 - v**2 + v**2) + 327 - 20*v**4 - 327.\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 20*r + 65. Let n(w) = -251*w + 9554. Let h be n(38). Give c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 112001110?\nAnswer: 112001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31172, -62362, -93552, -124742, -155932?\nAnswer: -187122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 23\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f - 1. Let k be a(9). What is the derivative of 89*c**2 - k*c**2 + 2*c**4 + 4 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1353664 divided by 32.\nAnswer: -42302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.05 - 257707.\nAnswer: -257736.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 11\/4 (b) 0.4 (c) -0.1172 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 17. Let l be y(-7). Suppose u = 1 - l. Let p be u - 7\/((-7)\/87). What is the highest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by 18?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -217 - -389. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 8*j + 9. Let u be l(8). Let y = -2 - -2. Suppose y*g + u = 3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10404186 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -59852 bigger than -59843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/60 - n**5\/20 - n**4\/8 + 4*n**2. Let s(t) = -t**3 + t**2 + t. Give -l(w) - 3*s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -21*f + 2. Let r be j(-4). Suppose -36 = 5*u - r. Let h be ((-2)\/(-16))\/((-1)\/u). Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13*o**2. Let q = -6 - -10. Let m(l) = 4*l - 10*l + q*l. What is h(m(v))?\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/(10\/(-45)). Let b(s) = -s + 2. What is b(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 2 - 1 - 1.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -424*a*t**2*y**3 - 16*a*t**2*y**2 + a*t**2 - 2*a*t - 3*t**2*y**5 + 4*t**2*y**2 wrt y?\nAnswer: -2544*a*t**2 - 180*t**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 0 + 6*c as j*c + d and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141765521?\nAnswer: 6389, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 320, 447, 558, 647, 708?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54413.8 and -0.344.\nAnswer: 18718.3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 407*r - 369*r + 114 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72930, -145823, -218716?\nAnswer: -291609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 32, 28, 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 + 3*u - 1. Let a be m(2). Let x be 5*(-3)\/a*51. What is the remainder when 13 is divided by 3\/(-2) - x\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/1*2\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 965 in ascending order.\nAnswer: 1, 3, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1713168 and 285528?\nAnswer: 1713168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*k**3 - 36*k**3 + k + 77*k**3.\nAnswer: 93*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/(-767))\/((-70)\/182).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from tttttqtpcttpaapp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 91 + -74 - (-60)\/(-5). What is the second smallest value in 0.2, 4, g, -377?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 8*s + 3*s - 5. Let i be g(-5). Solve 4*n = 0, 2*z + i*z + 6 = -5*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 1:21 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/5 + 37206*h**2\/5 - 106406379*h\/5 - 56542232088\/5.\nAnswer: -3*(h - 6429)**2*(h + 456)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4785*p**5 - 39*p**2 + 84870*p wrt p.\nAnswer: -95700*p**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*3*(-6)\/30\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 118634?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-5))\/(10\/325). Let b = -45 + z. What is h in 2 + b*h**4 + 6*h + 3*h**3 + 13\/2*h**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 193? (a) -0.01 (b) 0.2 (c) -0.647 (d) -0.2 (e) -5 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15017, -15013, -15007, -14999, -14989, -14977, -14963?\n\"Answer: w**2 + w - 15019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 70*k + 522. What is y(24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 213969?\nAnswer: 213970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -34*a**3 - 32*a**3 - 2 + 65*a**3. Let b be u(-2). Solve 4*i + 3*m + b = 0, 5*m + 0 = -4*i - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480358268 a multiple of 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 65*h - 347. Calculate x(-59).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (5 - 0) + 7 + 4 + -15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 620*h**2 + 14*h**2 + h**3 - 1 + 1160*h**2 - 2*h**3 - 288*h**2 in the form d*h**2 + o*h**3 + c*h + w and give d.\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 852, 1723, 2616, 3543, 4516, 5547, 6648, 7831?\n\"Answer: 2*h**3 - h**2 + 860*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9761)\/117132*(2\/3 - (-290)\/15)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -526, -1832, -4378, -8578, -14846, -23596, -35242?\nAnswer: -50198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6) + 116\/24. Suppose 0 = r*g - 9*g + 32. Suppose 11 = -w - 4*p, -2*p - 20 = -4*w + 8. Calculate the remainder when g is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:16 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5, -0.08399, -0.1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blllblnllblblnbblbb. What is prob of sequence lnnb?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (7 - (1100\/176 + (-1)\/4)). Let c(n) be the second derivative of k + 1\/60*n**4 - 6*n - 1\/15*n**3 + 0*n**2. Suppose c(h) = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kpkkappaekkppappk.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (1 + -7 - -3 - (9 - -2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 4:18 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 (base 9) in base 15?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -309*k - 1192. Give j(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291140 = -24*f + 4232148. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1.03. Let p = 30.2 + -30. What is the closest to u in 5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 8, y: 7, r: 2, x: 1}. What is prob of sequence rs?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 372.2 (c) 4 (d) 0.5 (e) 2 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + -1 + (33 - (39 + -4 + -20))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -85 + 7. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469957193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let x = -144\/55 + 14\/5. Let r = -336\/5 + 67. Sort x, r, f in decreasing order.\nAnswer: x, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*s + 5*s. Let g = 85 + s. Suppose 1 = -5*k + g. Solve 2*n = 5*d + 35, k*n - 4*d = -0*d + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/418 + -11909\/1672. What is the common denominator of 51\/16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 77?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007680 to the power of 1\/2, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:52 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 6*h + 5. Let v be g(-7). Let j(a) be the third derivative of 0 + 1\/3*a**3 + a**2 - 1\/24*a**4 + 0*a. Give j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 - 12*c - 9. Does 27 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14383*h = -11*b - 14383*h + 28769*h - 73, -2*b + b = -4*h + 70 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8847*u**2 + 3*u + 5175*u**3 - 8847*u**2)*(2*u + 1 - 1).\nAnswer: 10350*u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1966925 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21537 + 53013 = 15*n. Let w be (-2)\/(-17) - n\/(-238). Which is greater: 112\/5 or w?\nAnswer: 112\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 17 = 5*m + 7, -4*m - 40 = -4*y. Solve 20 = -y*b + 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u + 23*u - 12*u + 135 in the form f + c*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*x + 3. Let t = 8803 + -8799. Sort 21, x, t in ascending order.\nAnswer: x, t, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1032.31 - 1055. Let n = 2.51 - u. Let r = 25.2117 - n. Round r to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 574\/49 + 4\/14. Let c = 24 + b. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 65. Let p(n) = -n**2 + 4*n + 7. Let q be p(5). Solve q*w - 2*o - 10 = 0, 3*o + r = -w + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45\/4, 4, 2\/623, 2\/5, 25, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - (-5)\/4. Suppose 3*u + r - 19 = -4*m, 2*u + 2 = 2*m. Put -5, 1, m in ascending order.\nAnswer: -5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72301 is divided by 24099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -28*c + 2499. Determine p(91).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 16506?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011110011 + -10000000101?\nAnswer: 10101011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:52 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -26*m - 21*m + 64*m - 4 - 20*m. Let i(c) = c**3 + 2*c**2 - 24*c - 4. Let z be i(4). Determine o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from xxgggggxggxxsxgssx?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -463, -1 in decreasing order.\nAnswer: -1, -5, -12, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -22*v + 18*v + 72, 4*v + 24 = 3*y. Let s(p) = -p**3 + 14*p**2 + 31*p - 22. Calculate s(y).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1048572 and 1204.\nAnswer: 45088596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 23 - 3 = 0. Find v, given that 0 - 4\/3*v**3 + 4\/3*v - 10\/3*v**h + 10\/3*v**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19177 and 132276.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/52)\/3 - 6504\/(-26). Let i = s + -207. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492042393.\nAnswer: 3, 491, 111347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 599 = -578. Let x(o) be the third derivative of 1\/90*o**6 + 8*o**2 + 0*o + 0 + 0*o**4 - 1\/9*o**w + 1\/30*o**5. Solve x(c) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 25. Let z(l) = 3*l + 53. Calculate the smallest common multiple of 2 and z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2945 + 2189\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/11 + 25750*y**2\/11 + 180364*y\/11 - 206112\/11 = 0.\nAnswer: -8, 1, 12882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 7*l = 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 385 = -z. Suppose 12 - 34 = -2*p. Calculate the highest common factor of p and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*1\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/120 + 3*j**5\/20 + j**4\/24 - 3*j**3\/2 + j**2 - 15. Give r(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-27)\/y**(1\/18) assuming y is positive.\nAnswer: y**(-487\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11.053. What is c rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*k**2 + 106 - 106 + (2 + 1 - 1)*(-1 + 1 - 2*k**2).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7056 and 1008000.\nAnswer: 7056000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from -58.77.\nAnswer: -27.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:45 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -213432 or -213433?\nAnswer: -213432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -173, -163, -149, -125, -85, -23?\n\"Answer: l**3 - 4*l**2 + 15*l - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o*o\/(o*o**(-7\/5)\/o*o)))*o**(-11)*o**(-24)\/o**(3\/11) assuming o is positive.\nAnswer: o**(-1863\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (71 + -48 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 22 = 5*y - p, 3*y + 5*p + 25 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 105\/(-50) + 6\/4. Let g = -4.27 + -0.73. What is the third smallest value in 4, m, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -64\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z\/(z**(-1\/15)*z))\/z*z*z*((z**(-2)\/z)\/z)\/z)**(3\/20) assuming z is positive.\nAnswer: z**(-29\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b)\/b**(-22) assuming b is positive.\nAnswer: b**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21 - 1 = 0. Suppose -u - 9 = -5*k. Suppose 4*r + 10 = 2*r + 4*o, 4*o = -3*r + 25. Solve 3*p = -r*m + k*m + 15, 5*m = -p - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.634 + 23\nAnswer: 21.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -69017239283.\nAnswer: -69017239288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4, -16 - 18 = -p + 5*a. Let d = -6 + p. Let r = d - 7. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-23)\/(q\/(q\/q**(-2\/3)*q)*q*q)**(1\/63) assuming q is positive.\nAnswer: q**(-1\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0)*(-2 - 2*x**2 + 2) - 5*x**3 + 4*x**3 + 2*x**3 + 2307*x**3 - 148358 + 148358.\nAnswer: 2306*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 2*t - 19, 5 = -0*t - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 21*r + 14. Solve -2*n - r = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1817\/4 + 452. Calculate the common denominator of p and (-3341)\/(-312) - 2\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 48 = -6*o. What is the lowest common multiple of o and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15854849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, s: 3}. Give prob of sequence sssr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from {i: 3, s: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from {c: 2, u: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f - 14 = 0. Suppose 2*w + 20 = 5*n, n - w = f - 0. Suppose -i - 3 = 0, 3*i = 4*x - n*x - 79. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2288 = -4*k - 3*o + 1233, -25 = 5*o. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1438*d - 41699. Give a(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/9 (b) -0.3 (c) -1\/18 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -273? (a) 4\/5 (b) 274\/11 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 4. Let g(j) = j. Determine g(d(p)).\nAnswer: 13*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*l + l - 34, 142 = -3*l - 4*g. Which is smaller: l or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**3*h**2 - 148*f**2*h**2 + f*h**2 + 4*f*h + 7*f wrt f?\nAnswer: 30*f*h**2 - 296*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120021 (base 8) to base 13\nAnswer: 15861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/72 + (-25)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 879\/21 - (-1)\/7. Suppose d = -2*o + y, 4*o = 7*d - 3*d + 84. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10139 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 1, w: 3, r: 1, k: 1}. What is prob of sequence kv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-27)\/(n**(-9\/7)\/n) assuming n is positive.\nAnswer: n**(-173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -38, -52, -66, -80?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 9}. What is prob of picking 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)*q**(-3\/5)*(q**(-9)\/q)\/q**(-2\/3))**(1\/15) assuming q is positive.\nAnswer: q**(-158\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 158\/22 + 22\/(-121). Let d(u) be the first derivative of -s*u**4 - 1 + 15*u**4 + 13*u**2 - 7. Find the second derivative of d(x) wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3233 + 4033. Let s be (2\/(-4))\/((-21)\/f). Let o = s + -62. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101.0000103 + 101. What is u rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - s + 20, -n = 4*s - 6*s + 7. Suppose n*t + 2*b = -b + 9, -15 = -5*t - b. Solve 3*a + t = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 46*q - 1. Let j(a) = -140*a + 3. Determine 4*j(u) + 11*z(u).\nAnswer: -54*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2*8928\/(-28272))\/(1\/38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 14 + 2. Suppose -p - 3 = m, -p = -2*m + b*p - 6. Let y = 5 - m. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 19*o + 32 = -5*w - 61, w + 14 + 11 = -o for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 94*f + 269. Let k be v(-3). Solve 0 = 9*o - k*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p + 18. Let j = p - -6. Solve -3*a = -3*f - 8 + 2, -5*f - 25 = j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(2\/29))))**40 assuming x is positive.\nAnswer: x**(1080\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 18*z - 1946. Give a(54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*w = 4655*w - 5584 - 37901 - 48201 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596 a factor of 984861692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -3\/7, -0.9, 1, -40, -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 - 2*m - 9 - 3*m + 2*m**2. Let f be i(5). Suppose f - 2 = s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/((l\/(l**(-1\/8)*l))\/l)*l)*l*l*l**(-1))\/(l**(-6)*l**(-1)\/l) assuming l is positive.\nAnswer: l**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2*f + 2*f**2 + 2*f**4 + f**3 + 9 + f**3 in the form l + x*f**2 + h*f**4 + i*f**3 + k*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -99775 rounded to the nearest 100?\nAnswer: -99800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/20)\/((-6)\/(-15)). Let b(x) = -x**3 + 3*x**2 + 4*x + 5. List the prime factors of b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = 2*s + 198, -4*s + 27 = k. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 17842112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -58. Let h = g - 1. Solve 2*m + 2*m**h + 2*m + 12 - 5 - 5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2. Suppose -h + 6*h + 120 = 0. Let v be (-1)\/((0 + 3)\/h). Suppose u = 3*g - 6, g - v = -3*g. Give t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 304?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 32?\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 3, l: 5, s: 7, m: 2}. What is prob of sequence hsm?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 2*t**3 - 33*t**2\/2 + 76*t + 1. Let g be a(3). Solve b = -j - 3, 2*b - 2 = -g*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52430*h**2 + 7165*h**2 - 110849*h**2 + 7799*h**2.\nAnswer: -148315*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 4400*w**3 - 8806*w**2 - 4404*w.\nAnswer: 2*w*(w - 2202)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (221 - 12) + (-2 - -4). Suppose 169 + t = 4*c. Suppose 3*v = 338 - c. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x = -231*x - 229*x + 526*x - 4173 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 + 1 + 3 + -5). Suppose -l - 5*j + 3 = a, -4*l = 5*j - 38. Solve l = 3*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 9767.\nAnswer: 22\/9767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 2*u**2 - u**2)*(223*u - 474*u + 98*u)*(-3*u + 2*u**2 + 3*u).\nAnswer: -612*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 18. Let y(w) = 3*w + 18. Let p be (-2)\/8 - 247\/52. Let k(b) = p*y(b) - 4*h(b). Let x be k(-7). Solve 3*i - 4*s = -26, -x*i - s + 4 = s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose -o*q = -3*q. Suppose 4*c = -16 + 4. Put 3, q, c in decreasing order.\nAnswer: 3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 431274403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01784 + 4.98216. Which is the closest to 0.1? (a) 2\/7 (b) h (c) 21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/4 - a**3\/3 - 4*a**2 - 17*a. Let v(l) = l**2 - 1. Calculate 5*v(u) - z(u).\nAnswer: 2*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 269969.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 23, -22, 1 in decreasing order.\nAnswer: 23, 5, 3, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.148 - -18.852. Is 2\/11 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 227*y**3 - 2*y**2 - 215*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a + 5. Let v(u) be the first derivative of -36*u**2 - 28*u - 168. Determine -28*t(x) - 5*v(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*l - 9 = 0, -2*n = n + 2*l - 8. Suppose 128 = 4*o + n*s, 3*o - 5*s - 38 = 32. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 10. Let w be a(8). Determine j, given that 3*j**2 + w*j**2 - 4*j**2 - 2*j**3 + j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.791352 - -0.209138. Let w = -5 + g. Round w to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 18*h = 0. Let u = 29 - 5. Suppose 3*m - 6 - u = h. Calculate the remainder when 17 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 964*-4.5\nAnswer: -4338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 246 = o + 4*u, 2*u = 0. Let w = -52 + o. What is the remainder when 117 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -98, -4, 1 in decreasing order.\nAnswer: 4, 1, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.3 (b) -0.4 (c) 0.4 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u + 1. Let d(y) = y + 1. Let i(j) = -10*d(j) + 2*f(j). Solve i(o) = 0 for o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20033 + -1121223033?\nAnswer: -1121203000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523315972?\nAnswer: 2, 130828993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20315 - 2?\nAnswer: -1.79685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 5*w + 3. Suppose 0 = 4*x - 8*x + 3*l - 39, -2*l = x + 7. Give a(x).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b - 5148 = -2*b + 4*b + 17*b for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:49 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-567))\/((-3)\/(-21))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -18 (b) 2 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 divided by -14652?\nAnswer: 29\/1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 0 + 56*i - 29\/30*i**6 + 0*i**5 - 13\/6*i**3 - 1\/6*i**4 + 1\/2*i**2. What is the second derivative of x(p) wrt p?\nAnswer: -348*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 9, q: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*a**2 + 142\/9*a - 896\/9 = 0. What is a?\nAnswer: 7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20151397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i**4\/5 - 254*i**3\/5 + 696*i**2\/5 - 46*i\/5 - 84 = 0 for i.\nAnswer: -2\/3, 1, 5, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1411 divide 5882992358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -161, -367, -655, -1025, -1477?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177\/5 + 36. Are 0 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:38 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 907.5515ug in kilograms?\nAnswer: 0.0000009075515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 16. Let j be u(0). Which is bigger: j or 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {i: 2, d: 4, k: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-338)\/114 - 174*298\/12963.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is de0984 + -4?\nAnswer: de0980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13387 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:14 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3619, -3\/4, -11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183211448 and 117368.\nAnswer: 183211448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let z(d) be the third derivative of 151*d**2 + 0*d**4 + 0 + 0*d - 109\/30*d**5 + 0*d**3. Determine z(j(y)).\nAnswer: -218*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 26. Let z be 39\/(-65) - (-3)\/5. Suppose -l + n + 1 = z. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139 and -227.4.\nAnswer: 31608.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 17 = -h - h, 3*h - 4*v - 9 = 0. Suppose 0 = -4*u + 89 - 29. Suppose 0 = -2*d + h*d - u. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4\/2 - 25941*n**3 + 77832*n**2 - 77835*n + 51891\/2 = 0.\nAnswer: -17297, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80830\/40 - 1\/(-12)*3. Suppose -504 = 4*w + j - s, 0 = 2*w + 4*j - 776. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 6, 2*b = h + 8. Let z be (-2)\/4*3*h. Suppose -16 - z = -j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 30*h**2. Suppose -10*a + 5*a + 6505 = 0. Let m(g) = -a*g + 1301*g + g**2. Determine m(q(k)).\nAnswer: 900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5, -2, -0.2, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7307\/4 - 1846. Find the common denominator of q and 2\/(-28)*-7 - 10\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -108*f - 1967*f**3 + 105*f + 1965*f**3 - 4*f**2. Let q(b) = 5*b**3 + 9*b**2 + 7*b. Determine 4*q(c) + 9*x(c).\nAnswer: 2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -5 (c) -2\/1281 (d) -0.4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164496672 a multiple of 2154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 13 = 23. Let l = 11 + g. What is the tens digit of 10\/l*(-2 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10829 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 0.02 (b) 0.5 (c) -13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 587473, 587473, 587465, 587449, 587425, 587393?\n\"Answer: -4*h**2 + 12*h + 587465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-162)\/(-8)))\/((-10)\/15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-6*2\/(-24)). Solve -5 = -l*i + 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 41*g - 7. Calculate x(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4608 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, a: 2, o: 4, c: 1}. What is prob of picking 1 c and 2 a?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 755 + -542. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5\/7, 10, -1\/3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17*i**2 + 33*i - 16. Let r(t) = t**3 - t**2 + t. Let y(x) = -c(x) + 5*r(x). What are the prime factors of y(5)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/3 + 28*m**3\/3 - 336*m**2 - 6592*m\/3 - 8960\/3 = 0.\nAnswer: -28, -4, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 416 + 215. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {g: 4, w: 2, q: 10}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*u**5 + 90*u**4 + 6*u**3 + 33478*u?\nAnswer: -300*u**3 + 1080*u**2 + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhxh. Give prob of sequence xhm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u + 12\/7 - 2\/7*u**3 + 0*u**2.\nAnswer: -2*(u - 3)*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 4) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(72))\/sqrt(2) + sqrt(180)\/(sqrt(5) - sqrt(180)))\/((sqrt(360)\/(sqrt(18)\/sqrt(3)))\/(sqrt(45)*-1)))**2.\nAnswer: 9747\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1919\/11622 + -3\/1937. What is the third smallest value in 4, 0, -2\/7, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/5 of a milligram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r - 713 + 609. Let h(a) = a**3 + 17*a**2 + 23*a + 68. Does 6 divide h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.116 in 0.4, 0.3, -2, -22, -5680?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 379*o + 33892. What is s(-88)?\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -28.\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -302312223 (base 4) in base 14?\nAnswer: -55ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 3*m + 41 = i, 0 = 21*i + 4*m + 120 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -235047204 divided by -58\nAnswer: 4052538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 413273*t**3 + 15*t**2 + 51319991*t?\nAnswer: 2479638*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 3*k)*(-2 + 0 - 1)*(67*k + 72*k + 69*k).\nAnswer: 1872*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2699 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*d - 2416, d + 2*u = 262 + 218. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 1378951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + 4 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (-9 + -18) - -43?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, -66, -92, -118?\n\"Answer: -26*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p - 72 + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.19 (b) 0.2 (c) 1 (d) -0.31393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y - 16. Let w be u(10). Let d = 8 + w. What is the third derivative of 0*l**d + 8*l**3 + 4*l**2 - 22*l**2 wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/30 + 15*d**2. Let k(g) = -7*g. Determine k(x(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -28*g - 45. Let o be h(-3). Let c(x) = x - 25. Calculate the smallest common multiple of c(o) and 326.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227508449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*b**3*y - 5*b**3 + b**2*y - 85*b**2 - b*y - 51*b + 161*y + 7 wrt b.\nAnswer: 516*b*y - 30*b + 2*y - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 0 = -4*l. Calculate the greatest common factor of l and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1356*n + 883. Is v(44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7238916, 14477828, 21716740, 28955652, 36194564, 43433476?\nAnswer: 50672388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.5831 centuries to years.\nAnswer: 69158.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 14*i + i + 17719. What is the least common multiple of 9 and i?\nAnswer: 12267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*j - 160 = 3*j, -2*c - 2*j - 160 = 0. Let l = 93 + c. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 684296, 684258, 684220, 684182, 684144?\n\"Answer: -38*k + 684334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290514.\nAnswer: 2, 3, 7, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 47*o**2 - 513*o + 16046. Determine v(-60).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*f + 3*r + 14 = 159*f, -5*f + 16 = -3*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319094?\nAnswer: 2, 103, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*p - 31*p - 42*p - 32*p + 8*p to the form a + d*p and give d.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1358*j**2 + 257 - 291*j**2 - 257 - 1817*j**3 wrt j.\nAnswer: -10902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466.269 tonnes to grams.\nAnswer: 466269000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 28 = -4*c - 8*m, 0 = 4*c - 5*m + 34. What is the nearest to 1 in c, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - (7 + -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 779\/291 + -1\/97. Calculate the common denominator of -7\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71694*u - 49*u**2 + 48*u**2 - 72166*u.\nAnswer: -u**2 - 472*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -517606471*m - 307218418.\nAnswer: -517606471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 196 = -3*o, -5*o + 60 = 5*g - 225. Let h(l) = 36*l + 5. What is the remainder when h(5) is divided by o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628920087 to the power of 1\/3, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201 is divided by 502.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(2 + -1 + -2). Let f = t - -5. Suppose -4*h + 5*g + 37 = 2*g, 0 = -5*g + 5. Is f bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 12*w**2 - 14*w - 12. Let p be h(-13). Put -21, 5, p, -5 in decreasing order.\nAnswer: 5, p, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 8*c**2 + 58*c + 32. Let h be u(-14). Suppose 2964 = 7*v - h. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 0, 5*g - 1 = -5*v + 24. Suppose -n - 6 = z + 1, -3*n + 3 = v. Let l(j) = -j**3 - 9*j**2 - 14*j + 7. What are the prime factors of l(z)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 + 7 + 11*g**3 - 2*g**2 - 2*g + 9*g - 7*g**3 - g**3. Let i(h) = -5*h**3 + h**2 - 3*h - 3. Calculate 14*i(k) + 6*n(k).\nAnswer: -4*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15312)\/(-9856) + (-7)\/28*(-1)\/(-2).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.9 + -38.3. Let z = -3 + 5. Let m = 4.07 - 0.07. Which is the nearest to 2\/7? (a) m (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 40*m**2 + 222*m - 17. Let z be w(-5). Which is the closest to -0.173? (a) 0.5 (b) 4\/3 (c) z (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*j - 340*j - 307*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*q - 13. What is the first derivative of q*u**3 - 108*u**3 - 101 + 177*u**3 wrt u?\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 29*f**2 + 104*f**4 - 101*f**4 + 3 + 28*f**2 to i*f + h*f**2 + c*f**4 + b + w*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**4*s*s**(-1\/7)*s*s*s*s*s*s*(((s*s*s*s**1)\/s*s*s)\/s*s)**(-2\/5)*((s*s*s*s\/(s*s*s**6\/s*s)*s)\/(s**3\/s))**19 assuming s is positive.\nAnswer: s**(-603\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 9, w: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*r = -30, -2*t - 25 = -7*t + 5*r. Let j(g) = g - 8. Let f be j(t). Let p = f + 4. Solve 15 = p*i, -q + 3*i = 2*q + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29387640 is divided by 619.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 7) to base 6\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 697, 704, 743, 832, 989, 1232?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 22 = 4*p, 4*p - 10 = 3*c - 2*c. Suppose y - 2 = -b, c*y = 4*y + 4*b. Solve -y*q - 9 = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 + 116. Let a = z - 15. Sort a, -1\/4, -2\/5, 0.3 in increasing order.\nAnswer: -2\/5, -1\/4, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**2 + 2*s - 1. Calculate h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*u - 596, -124 = 3*z - 3*u - 544. What is the greatest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*x + 34, 18*x - 13*x = 2*b + 31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 33, 0.1, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 2. Let c be a(-5). Suppose c = -4*y - 0*p + p, 0 = -5*y + 5*p - 15. Solve y = 4*z - z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-11 - (7 + -17)) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1701926 + 1702018.0041. Let t = m + -92. What is t rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30634 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-14) - (-160)\/28 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) 3 (b) -0.1 (c) 17 (d) -6\/11 (e) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**4 - 3*h**3 + 3*h. Let a(x) = -12*x**4 - 4*x**3 + 4*x + 1. Let b(r) = 3*a(r) - 4*o(r). What is the first derivative of b(n) wrt n?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -689 - -691. Put 7, d, 3\/2 in increasing order.\nAnswer: 3\/2, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/45 - 14\/(-5). Let r be 9 + (5 - d) + -3. Factor -4\/3 - 15*l**2 - 25\/3*l**3 - r*l.\nAnswer: -(l + 1)*(5*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -502 + 5401?\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5932626 to the nearest integer?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(225) - (sqrt(264) + sqrt(264)*-2 - sqrt(264) - sqrt(264))\/sqrt(12))\/(sqrt(200)*-2*-5).\nAnswer: 4*sqrt(11)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4088249 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x\/(x\/x**(2\/3)))))*x\/(x**(-4\/3)\/x)*x*x)\/(x**(-3\/2)\/(x*x**(2\/3))) assuming x is positive.\nAnswer: x**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.6 and 631041.1891.\nAnswer: 631045.7891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 27759 + 4829 - 27936 - 20409.\nAnswer: 3*b - 71275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346.8 + -347. Sort 0.2, u, 1 in descending order.\nAnswer: 1, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11960*r**2*v**3 - 6*r**2*v**2 - r**2*v - 115*r*v**3 + 21*r*v - 522*v**2 wrt v?\nAnswer: 71760*r**2 - 690*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/7 + 41*m + 4452 = 0. What is m?\nAnswer: -84, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 greater than 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 361, -4\/13, 33.3, -16?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) + 6\/33. Suppose 5*h - 4*j + 12 = t, -2*h + 2*j - 2 = 4. Differentiate h*z - 3 + 13 + 2*z + 0*z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**2 + 2*i + 2*i - 3*i + (-5*i + 3*i + 4*i)*(1 + i - 1) + 4*i**2 + i**2 - 4*i**2)*(-7*i**2 - 75 + 75).\nAnswer: -70*i**4 - 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/17, -1543?\nAnswer: -1543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 405 = 3*u - 111, p = u + 73. Let l = p + -66. Is l equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -4887?\nAnswer: -4886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12698*a + 571403. Calculate w(-45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Suppose b = 6*n - 2*n - 20. Solve o + 3*w + 2*w = -17, -3*w = n*o + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7090.4 milligrams?\nAnswer: 0.0000070904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c*c*c*c**(-4\/5)*c)\/(c*c\/(c\/c**(-1))*c)**(-3\/7) assuming c is positive.\nAnswer: c**(162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/58*300\/(-825).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 2\/11, 0.1, 67, -19.9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.21239, -4, 9 in descending order.\nAnswer: 11.21239, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-23 - (-40 + 19) - -126).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 141*a + 7059. Calculate j(-52).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2704275 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.563 - -5.763. Which is the nearest to 1\/3? (a) 1 (b) h (c) 4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21122 (base 3) to base 10.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s**2 - 43*s + 71*s - 84*s - 100*s to the form h*s**2 + w + c*s and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o + 3*o**2 + 0 + 0*o**4 - 1\/60*o**5 + 0*o**3. Let m(w) be the second derivative of w**3\/6 + w. What is d(m(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 1 + -13 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*x. Let t(j) = 2*j + 23. Let p(b) = b + 12. Let u(f) = x*p(f) - 3*t(f). Let v be u(-6). Let k(a) = -a**3 - 3*a**2 + 4*a + 4. Give k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwu when three letters picked without replacement from {i: 3, w: 2, e: 1, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (4380\/(-584))\/((-1)\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:37 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/42)\/(-9*48\/(-1944))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/5))**16\/((v\/(v**(-2\/7)*v))\/v)**(9\/4) assuming v is positive.\nAnswer: v**(2913\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.897377 millilitres in litres?\nAnswer: 0.003897377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-222)\/296*8\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 60 = -5*u. Calculate the remainder when (0 - -1)\/((-2)\/(-70)) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7623, 4, -4, -17 in decreasing order.\nAnswer: 4, -4, -17, -7623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.531*301.\nAnswer: 460.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -27*l**4 + 47235*l**3 - 81651478*l**2\/3 + 15325295116*l\/3 + 26228508760 = 0?\nAnswer: -5, 474, 5762\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-1 - 2 - -1) + 3. Solve -z*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030150611 rounded to four dps?\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 (base 4) in base 11?\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71861 is divided by 517.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 16 = 2*a, -4*a - 12 = -2*f + 20 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/((-112)\/6139) - 6\/(-16)) + -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375.3436 litres to millilitres.\nAnswer: 375343.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/6 + 40\/30. Solve 0*w - 25 = r*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -2\/3, -1, -4, 0.07?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 + 38*h**3 + 892*h**2\/3 + 448*h.\nAnswer: 2*h*(h + 2)*(h + 7)*(h + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = t, -6 + 8 = -3*x + t. Calculate the smallest common multiple of 65 and x.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l*x**3*z + 2*l*z**2 - l + x**3*z - 11*x**2*z**2 - 3*x*z**2 + 2*z**2 wrt x.\nAnswer: -30*l*x*z + 6*x*z - 22*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 967946*j**3 + 829570*j**2 + 177702*j - 18.\nAnswer: 2*(7*j + 3)**2*(9877*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/(6\/1284). Suppose 5*r = 2*f - 56, -3*r = 5*f + r - t. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 2. Let w be u(7). What is the units digit of (-94)\/(-8) + (-4)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1182 + 1267. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1\/28*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v + 3*v**4 + 6*v - 2*v**4 + v**4 + 2*v**4 + (-v**4 - 4*v**4 + 2*v**4)*(5 - 2 - 1).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1333*k + 320*k - 2072 - 14136 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/50 + -3\/25. Which is the closest to f? (a) 1 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/7 - -31\/28. Let b = 3 - 8. What is the biggest value in -1\/3, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**2 - 5*g. Let u(i) = 9*i**2 + 6*i. Let k(j) = -4*j**2 + j + 1. Let a be k(-1). Let w = a - -9. Give w*u(l) + 6*m(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2165*m + 2188*m - 251 = 0, 3*f + 17 = m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - -11) - (3 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.04 and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5))**(3\/22)*r**(-9)*r**(-5\/2) assuming r is positive.\nAnswer: r**(-134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) + (-9)\/(-6). Let y be (a - 3) + (2 - 0). Suppose y*i - 2*i = 0. Solve l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3667368 and 820.\nAnswer: 18336840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/114182859?\nAnswer: -1\/114182859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042008 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -1, -21, -61, -127, -225?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:44 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(5 - 1 - 3)*(2362*l - 2362*l + 47*l**2)*(-3 + 2 + 0).\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 + 3*u**2 - 4*u + 2. Let p be z(1). Is p\/1 - (-2 + (2 - 198)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12213203 (base 4) in base 6?\nAnswer: -325255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 406096 = 3*a - 406031, -5*b - 25 = 3*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (-2 + 11 + -4). Let c(x) = 2*x**3 + 2*x**2 + x + 4. Let f be c(4). Suppose j*n = -n + f. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, 4, 76, 156, 232, 292?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:00 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10 + 34*w**2 - 6*w**2 - 16*w**2 - 11*w**2 + 9*w. Let s be o(-8). Let p = s - -37. What is the remainder when 194 is divided by p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*t**4\/3 + 1999336*t**3\/3 - 12188152*t**2 - 69699904*t\/3 + 22852480\/3 = 0. Calculate t.\nAnswer: -142828, -2, 2\/7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(3*x + 0*x - x)*(2 - 2 - x) + x**2 + 0*x**2 + 2*x**2 + (-4 + 4 + 2*x)*(0*x + 2*x - x) - 4*x**2 + 3*x**2 + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20822755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14*k. Let i(h) = -1 + 1 + 33*h - 40*h. Give g(i(v)).\nAnswer: -98*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1793190 and -67\/48.\nAnswer: 14345520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8002408 and 11003311?\nAnswer: 88026488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133401, 133350, 133287, 133212, 133125, 133026?\n\"Answer: -6*d**2 - 33*d + 133440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 155. What is v in -9 + 2*v**2 + t*v + 10 + 18 + 1 = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -3, 0, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.5546 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-3)*-7 + -4. Suppose 2*h + 2 = -2*y + 6*h, -2*y - h + 3 = 0. Which is the closest to -0.2? (a) y (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*(-7 - -9). Suppose -11 = -3*u - 0*u + 2*g, 2*u - 4 = -l*g. Let v(b) = 3*b - 2*b - 6*b + u*b. Let x(h) = -3*h. Give x(v(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(217\/42)*26\/(-780)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 965491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 9:22 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -12 + 4 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 0, -4 in increasing order.\nAnswer: -22, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 - 4*k + 4. Let q be z(4). Suppose 0 = 2*n - 3*r + 2 + q, 0 = n - 3*r + 6. Let l(c) = c**3 - c**2 - 1 + 0 - c + 0*c. Calculate l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36273\/10 - -3632. Find the common denominator of t and -4\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 16 = -20*v + g, 30 = 5*g. Let x = 0 + -5. Which is bigger: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 29*w - 57*w + 20*w.\nAnswer: -66*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t + 42. Let f be h(7). Let o be 5\/4 + 15\/(-140)*f. What is the derivative of -18*w**2 - 3*w**o - 9 + 15 wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 1:58 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 + f**3 - 3*f**2\/2 + 4*f + 6. Suppose -2*g + 5*t - 12 = 2*g, -2*g + 5*t = 6. What is z(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*((-50)\/(-35))\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6972s in hours?\nAnswer: 0.006027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*g - 4*a + 20, 5*g - 237 = 13*a + 115*a - 69 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/(o*o*o*o**(-1\/5)*o*o*o*o))\/(o\/(o**5\/o)*(o*(o\/o**(-5))\/o)\/o) assuming o is positive.\nAnswer: o**(-181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 + 25*t + 13. Let k be h(4). Suppose 655200000 = 19*a + k*a. Round a to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -124, -123, -122, -121, -120, -119?\n\"Answer: y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - w = 124, 3*d - 2*w = 369. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84737509*j**4 + 5*j**2 - 13613709?\nAnswer: -2033700216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 78, -1\/2, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46389037 and 2923?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y. Suppose 157*p = 153*p - 144. Let i(x) = 6*x + 215. Let d be i(p). Determine j(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o**3 - 80*o**2 + 84*o - 4. Determine u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1134 - (4*-1)\/(-2). Suppose 2130 = -160*n + 155*n. Let b = n - o. Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 17*b + 53. What is f(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103224104539 - 5.\nAnswer: -103224104544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -530, -1065, -1598, -2129, -2658, -3185?\n\"Answer: z**2 - 538*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, 2, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*u**5 + 4*u**3 - 11*u - 42.\nAnswer: -900*u**3 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 4*c**2 + 4*c + 1. Let z be k(-3). Let w = z - 24. Let m be 14*(1 - (-1 - 1)). What is the highest common divisor of w and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 81 = 6*a, -2*a - 35*v = -31*v - 120 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 0.1, -2 in descending order.\nAnswer: 0.1, -2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160961662 divided by 88733.\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 2*k**2 - 8*k**3 + 0*k**3. Let x(j) = j**2 - 27*j + 81. Let u be x(24). Let v(d) = -2 - u*d**3 + 10 - 8 + 7*d**2. Give 7*l(p) - 6*v(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.268 + -0.354. Let i = -0.109 + 0.009. What is the nearest to 1 in k, -1, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlrclvll. What is prob of sequence cvr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m - w + 41 = 0, -2 = 3*m + 5*w. What is the lowest common multiple of (-2 + 5)*15 - 27\/m and 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 40. Suppose 17 = -5*g + 42. Suppose 2*i = -g*d - 2*i + 380, 3*i = 4*d - 304. Calculate the greatest common factor of d and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-72))\/((-1)\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m**0)**(-2\/11)\/((m\/m**1*m)**(1\/100)\/((m\/(m**2\/m))\/(m\/(m\/(m\/(m*m*m\/(m\/(m**(3\/5)\/m*m*m)))))*m))) assuming m is positive.\nAnswer: m**(2549\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 13. What is the units digit of d(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 11*t**4\/6 - t + 33. Let c(i) be the second derivative of i**3\/3 - 2*i. Give c(w(u)).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 13*m\/4 + 7\/2.\nAnswer: -(m - 1)*(m + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*114*(-5)\/(-90)*9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29335*r**2 - 108208 wrt r.\nAnswer: 58670*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164468931.7529 minus 0.06?\nAnswer: -164468931.8129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*l = 2*l + 203, -5*h = -5*l - 1035. Suppose 79*k - 140*k + 1342 = -72*k. Let c = h + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6, s: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 6. Let q(f) = -9*f + 13. Let p(a) = -6*q(a) - 13*z(a). Let i(c) = -c. What is i(p(w))?\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -w + 735, 3*w - 3119 = 3*a - 878. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*28\/(-43680)*48\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 94, 9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -221202, -221182, -221160, -221136, -221110, -221082?\n\"Answer: z**2 + 17*z - 221220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (6 - (6 + 4))) + 3 - 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 64 + 62 = -2*h, 2*g - 3*h = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*v + 8302 = -838 - 6980 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13608 (base 11) to base 9.\nAnswer: -28510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -769*y + 941. Let i(d) = -257*d + 314. Let j(r) = -4*b(r) + 11*i(r). Find the first derivative of j(s) wrt s.\nAnswer: 249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p - 292. Determine y(-57).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -903 or 44?\nAnswer: -903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64 - -9e?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30636772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 48 = 2*x. Suppose -4*k - 3*a = k - 658, 0 = 3*k + a - 398. Let r = x + k. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*h - 677150, 484*h = 4*n + 479*h - 902877. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, 1 y, and 1 k when four letters picked without replacement from kkkyykikkpukuk?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549404, 1098802, 1648200, 2197598, 2746996?\nAnswer: 3296394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 942221609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*r - 3*k + 4, -3*r + 3*k - 21 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 26*z + 49. Suppose -3*t = -t + 3*n + 6, 5*t + 4*n + 8 = 0. Suppose 0*p = 2*g - 3*p - 9, t = g + 5*p - 11. What is the hundreds digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.794, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587 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: Express -2*c - 8 - 2*c**2 + 10*c - 8*c in the form z + n*c + x*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2. Let o(u) = -u**3 + 18*u**2 + 20*u - 12. Let y be o(19). Let c(q) = -y*q - 5*q - 4*q + q. What is v(c(h))?\nAnswer: 450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29835)\/39)\/45 - (-28 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5250468 - -2.8.\nAnswer: -5250465.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17424 divided by -494?\nAnswer: 8712\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4+-575\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -51 (b) -1\/15 (c) -157\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 2*b**2 - 10*b + 2. What is the units digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/4)\/(y*y\/(y*y\/y**(2\/7)*y)*y))\/(y**(-1))**(1\/46))\/((y*y\/(y**1\/y))**19*(y**(-1))**(1\/12)) assuming y is positive.\nAnswer: y**(-37607\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -333, -327, -309, -273, -213, -123?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 375 and 21.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 1424203 + 1424278 = 6*c, 4*h = -2*c + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553723 is divided by 15517.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142613729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 368 and 768.\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -8*o**4\/3 + 23*o**2 + 5*o - 77. Let f(y) be the first derivative of s(y). Find the first derivative of f(n) wrt n.\nAnswer: -64*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9)*r*r*r**(4\/7)\/r)\/(r**(1\/4)\/r**(-1\/3)) assuming r is positive.\nAnswer: r**(-589\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17197, -69781, -157751, -281107, -439849, -633977?\n\"Answer: -17693*t**2 + 495*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13902815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - w**2 + 2*w - 1. Let p be g(1). Find a such that 16*a**p - 5*a + a**3 - 15*a**5 + 5*a - 2*a**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124072441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -3*y + 8, -2 = -y + 4*u. What is the remainder when 34 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208469492 to the power of 1\/2, to the nearest integer?\nAnswer: 14438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1357*m + 1356*m + 1363*m + 6325 - 4075*m to the form j + s*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1. Let a(w) = 3*w + 6. Suppose 44*h - 43*h + 1 = 0. Calculate h*a(p) + 4*m(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 92466 = 688515. List the prime factors of m.\nAnswer: 3, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 13, -26\/19?\nAnswer: -26\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 3*n\/2.\nAnswer: n*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -21. Let r be (2 + (-51)\/30)*c. Sort -3, r, -2.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f = o - 0*o - 53*f - 6, -3*f = -6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 - 3*z + 4. Let u be q(-3). Suppose -2*p = -u*b + 2, -4*p - 2 = 3*b - 9. Let r(a) = a - 1. What is r(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from {a: 2, f: 8, d: 1, p: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-610245)\/(-14910) + ((-10)\/(-28))\/5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 2*u - 196, 204 = 2*g - u. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 a factor of 1772597279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -426, -640?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (7 - 1) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -776109.3 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 575*p**4 - 2360*p**3 - 2380*p**2.\nAnswer: 5*p**2*(p - 119)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(3*k - 4*k - k) - 10 + 10 - 12*k + 0 + k + 0.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61*i*v - 4*i - 597*v - 1 wrt i?\nAnswer: -61*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.453*-0.0794\nAnswer: -0.1947682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 (base 10) in base 15?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1886120102?\nAnswer: 2, 79, 11937469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-3) + 2\/3. Suppose k - 4*g = 4*k + 11, 5*k + 5*g + m = 0. Let x = -1 + k. Solve -3*t + 0*z = -x*z - 7, 4*t - 8 = 2*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266293.7 rounded to the nearest 1000?\nAnswer: -266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7*y + 10349 = 0, -5*n + 13572 + 3659 = 3*y. Is 53 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6239 + 37441\/6. Let w(r) be the second derivative of 0 - 1\/2*r**2 + p*r**3 - 28*r. Give w(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/182)\/(-2*13\/(-338)))\/(-68)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)\/(-1) + 4. Suppose t*w - 5*w = -633. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4396 - -4227. What is the second biggest value in g, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:46 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2197.6\nAnswer: -2197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/36 + ((-182)\/105 + 2)\/((-40)\/(-6575))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 - 40*l**2 - 1584*l - 61952\/3.\nAnswer: -(l + 32)*(l + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038444 to seven decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 less than -19932\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, h: 1, s: 1, y: 2, g: 1}. What is prob of sequence gy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v)\/v)**(-19)*(v\/(v*v**15))\/(v\/(v*v**2)) assuming v is positive.\nAnswer: v**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5251 or 7790\/11?\nAnswer: -5251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -3, -1.8, 0.2, 601?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -1\/81 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16799211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 + 3*z. Let k = 5 - 2. Let g be 7\/k - 1\/3. Let j(c) = -c**2 + c. Suppose -2*t + 18 = -5*t. Calculate g*h(v) + t*j(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1\/7, -2, -2\/2411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388587976 and 3472.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*z + 20, 274*v = 271*v - z + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 818?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 65*y**2 - 169*y + 765. Is s(67) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -127, -194, -263?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.52 and 25.9?\nAnswer: 13.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f - 17. Suppose -1 = -4*u + 23. Let c(x) = u*x - 6 - 16*x + 5*x. Calculate 17*c(l) - 6*o(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41285.1 and -0.35577.\nAnswer: -41285.45577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*48\/20 + -4. Suppose -16*q + 12*q = -g. Suppose q*w + 188 = 40. What is w rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-43394)\/(-91) - 6\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 10. Let y(k) = k**2 - 8. Let p(d) = 4*q(d) - 5*y(d). Let x(o) = 48*o**2. What is x(p(g))?\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.43 - 58.57. Let c = p + 58. Let h = 1.99648 + c. Round h to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 - d**4 - d**4)*(1067 - 434 + 622)*(1 + 3 - 2)*(3 - 2 - 2)*(-5*d + d + 2*d).\nAnswer: -10040*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*c + 6940, 5*c - 2*u - 9652 = -2724. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-5 - -1 - -5). Solve -15 = 8*t - h*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268816913*z + 416495197 wrt z.\nAnswer: 268816913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 0*h + 0*h)*(-h**2 - 2*h**2 + 5*h**2) + h**4 + 1 - 1 + 0*h**4 - h**4 + 3*h**4 + (27 - 27 - 4*h**3)*(4*h + 0*h - 2*h).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 194*r + 372*r + 0 - 109*r + 383*r in the form y + z*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772.93418 rounded to the nearest 10?\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 3*k**5 - 4*k**5 + (2*k - 2*k - k**2)*(2*k**3 + 1 - 1) - 404*k**4 - 10*k**5 + 404*k**4.\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w - 1. Calculate g(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*o - 5*a, 2*o + 86 = -3*a + 109 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0997 + 0.1?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1368 and 18288?\nAnswer: 347472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3918 divided by -47\nAnswer: -3918\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1227392 = 16*p + 156816. 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 0.00000193884191 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1297071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - (-18 - (-38 + (-31 - -13))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*h**2 - 3*h**3 + h - 434*h**2 - h.\nAnswer: -3*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - q**2 - 3*q**3 - 15976*q**4 - q**2 - 1 - q + 15977*q**4 in the form l + a*q**3 + m*q**4 + z*q**2 + j*q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/5 + 138*j**3\/5 + 636*j**2\/5 - 304*j\/5 - 3072\/5 = 0. What is j?\nAnswer: -64, -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 394?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5586 divided by -12242.\nAnswer: -2793\/6121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273 + 520. Let d = i + -119. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2 - 2. Let i be (-12)\/(-15)*10\/(-4). Sort -1, i, y.\nAnswer: y, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1338, 5113, 11324, 19971?\n\"Answer: 1218*i**2 + 121*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 37*x - 35. Let h be r(4). Let d = h - 65. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 23.1569 weeks?\nAnswer: 14005293120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(1\/3))**11)**(-2\/97))**33)**(-13\/5) assuming x is positive.\nAnswer: x**(3146\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.63 + -0.13. What is the closest to -0.1 in -18, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 + v**3 - 17*v**3 + 0*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1102 + -1082. What is the smallest common multiple of f and 752?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*j - 2, -4*j + 3*n - 33939 = -33925 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + t**2 - 2*t**3 + 981 - 1961 - 16*t**4 + t**4 + 2*t + 983 as d*t + o*t**4 + w*t**2 + r + k*t**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -24.7. Let k = -2.2999976 + u. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/27 and -91\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -266253*y**2 - 3. Let u(l) = 3*l**2. Calculate z(u(c)).\nAnswer: -2396277*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/5)\/((-4)\/5). Let p = -0.1 - -0.6. What is the nearest to r in p, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*((b\/(b**(-2\/35)*b))\/b)\/b))\/b**(4\/3)*b**(-4)*b**(-10)\/b assuming b is positive.\nAnswer: b**(-1511\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17230078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*d*i*q**3*u**3 + 4*d*i*q**2*u - 1603*d*i*q - d*q*u**3 - 28918*i*q**3*u + 3*i*q*u - 12*i*u**3 wrt q.\nAnswer: 222*d*i*u**3 - 173508*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2399\/5 + -477. Let y = 12\/5 - c. Let m be (-63)\/91*7 + 5. What is the nearest to -0.1 in -4, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6030)\/(-14) - (-3 + -6)\/(-3). Let w = -52891\/126 + r. Calculate the common denominator of 3\/7 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -39. Let c = 102 + -101.9696. Let s = 3.9696 + c. What is the nearest to g in s, -3, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389401 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 7 + 6 + 4. Suppose 5*f + 44 = -5*b + 14, 2*b + 3*f + 13 = 0. Calculate s(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) + 21\/(-14). Suppose u + u = p. Factor 12*f - 5*f**2 - 7*f**2 - 4 + 4*f**3 + u*f**2.\nAnswer: 4*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -113, -2\/15, 4\/3, 1 in descending order.\nAnswer: 4\/3, 1, -2\/15, -8\/5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38 - (-2 + -1 + -1). Suppose -5*a = 3*y - 148, -4*a - p - 166 = -4*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 123284.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10655045 by 5.\nAnswer: 2131009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.2433l?\nAnswer: 22243.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 0, -75, -1 in descending order.\nAnswer: 5, 0, -1, -4, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 58*j**2 - 2*j + 192. Let k(x) = 6*x**3 - 290*x**2 - 11*x + 960. Let d(z) = 2*k(z) - 11*p(z). What is the derivative of d(a) wrt a?\nAnswer: 3*a**2 + 116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 33 - 354. Let l = z - 101. Calculate the lowest common multiple of 36 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxgx when four letters picked without replacement from {g: 6, r: 1, b: 1, o: 1, x: 4}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*r - 411*r = -135 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-14))\/(8\/(-168)). Solve 3*z = -s*o + 12 - 3, -5*o = 3*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1)*2\/(-4). Let o = 29 + -29.3. Let g(d) = d**2 + 5*d + 2. Let q be g(-3). Which is the third biggest value? (a) q (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0388248*-0.11\nAnswer: -0.004270728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11*(134 - (-3565565)\/(-26609))\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17030 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110850 - -110845. Suppose -5*f = p + 19, -2*f + 4 = -5*p - 10. What is the closest to f in -3, 1, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346320\/40 - (4 - 3)?\nAnswer: 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18 + -1 + 8\/2. Let u = a + 15. Suppose 4*f = -o + 48, 2*o = -f - u*f + 68. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3606, -7221, -10858, -14523, -18222?\nAnswer: -21961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9\/11)\/o)\/o*o)\/o*o*o**(4\/3) assuming o is positive.\nAnswer: o**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 60280.\nAnswer: 60280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 (base 10) in base 6?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 2. Let p(r) = r**3 - 6*r**2 + 4*r + 1. Let f be p(5). Calculate the remainder when 46\/4 + 2\/f is divided by l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 88*z**2 + 335*z - 87. Determine q(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 3*t + 9. Let f be n(6). Let y be 1\/(-4)*(f - -3). What is the nearest to 2 in -3\/5, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c3 + 2?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olxllllxloxlxlxlx. Give prob of picking 4 x.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04614 less than -9\/274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - ((2 - 1) + -6)) + -7 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.82357533 rounded to 2 decimal places?\nAnswer: -4.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 15 = d - 5*m, -4*m = -4*d - 12. Let n be -4*3\/21 - 21\/49. Sort -10, n, d in decreasing order.\nAnswer: d, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011101111001100010101 + -10?\nAnswer: 11011101111001100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2. Let i(x) be the first derivative of x**2 - 216. Calculate i(h(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 41?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-684)*16*(-2)\/16*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a - 8. Let k be f(-4). Is 17 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1051 + -1055. Let y(k) = k - 1. Let s be y(0). Let w(u) = u**3 - 3*u**2 + 3*u - 4. Let a be w(3). Sort s, v, a.\nAnswer: v, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**0*t)\/t))\/t)\/t)**(17\/3)\/(t\/(t**(-2\/5)*t)*t)**(1\/35) assuming t is positive.\nAnswer: t**(-428\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1535*j**4 - 3*j - 7 + 5 - 1546*j**4 in the form d*j**3 + g*j**4 + l*j**2 + v*j + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, u: 4}. Give prob of sequence utuu.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 16. Let g be d(-14). Let p = 0 + g. Let j be 13 - 12 - 6\/p. What is the greatest common factor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1134, 2491, 4070, 5871, 7894, 10139?\n\"Answer: 111*r**2 + 1024*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000071577 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 + 2*(3 + 4). Which is the second biggest value? (a) f (b) -15 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -17\/74264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -152, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 26 = w, 7 = 3*w + 19. Find the common denominator of 33\/14 and 21\/(-54)*c + (1 - -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(1224\/30)*(-11)\/(-165)*-12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 122*h + 1. Let v(s) = 261*s + 3. Calculate 5*o(p) - 3*v(p).\nAnswer: -173*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 560 or -46?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10195747.\nAnswer: 10195747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8566 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1423*s - 3. Let n(j) = -1411*j - 3. Calculate 5*d(t) - 4*n(t).\nAnswer: -1471*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycchjc. What is prob of sequence yhjc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/875 and -74\/2625.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39 - 0)\/(4\/(-12)). Suppose 16*a - k = 3*a. What is the remainder when 67 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Let d be (-35)\/12 - (-2)\/m. Is -1 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + (-9 - (-7 + 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 9*b**2 + b + 8. Let p = 127 - 136. Determine v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84571\/18 - -4697. Let g = 1117\/6 + -11023\/60. What is the common denominator of u and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 96. Let k = -8\/1777 + -104715\/28432. Find the common denominator of (-171)\/g + (-1)\/4 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 20*h + 3. List the prime factors of v(-18).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 701.9717 and 0.1.\nAnswer: 70.19717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 279180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399979*x**2 + 402221*x**2 - 802210*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4721239902372 + 3?\nAnswer: 2.5278760097628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 40971720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3872 - 3872. Let y(p) be the second derivative of 0 + 9\/10*p**5 + 0*p**2 - 12*p + r*p**3 - 11\/12*p**4. Find the third derivative of y(b) wrt b.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 11. Suppose -3*s - 5*p - h = -5*s, -2*s - 5*p + 31 = 0. Suppose 2*n = x + 8, -6*n + 22 = -3*n - 4*x. Solve -n*c + s = 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -27*(-9)\/54*-122. Let t = g - -591. What is the least common multiple of t and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.023*7983\nAnswer: -24132.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-16) + (-10)\/4. Let c = p - -32. Let v = -10 + c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t + 44 + 99. Let l be t*4\/16*(-4 - 0). Calculate the highest common divisor of 154 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by 32\nAnswer: 157\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*u + 85*u + 807 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46991978322 and -19.8?\nAnswer: 46991978302.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 81. Let p(x) = -x**2 + 6*x - 1. Let t be p(5). Suppose o*m + 20 = t*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 24*o - 42. Calculate the remainder when 144 is divided by l(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 859956 divided by 23\nAnswer: 859956\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1938\/1071 - ((-12)\/(-35) + 6\/(-30)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 422?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4954 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcpgccpgllclggpcccgg. Give prob of picking 2 g and 1 c.\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgg. Give prob of sequence gk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06164 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77205 is divided by 38544.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51810 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 512 - 37 = 30*d. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -0.5 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29106 and 81378?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (5 + 1 + -26 + 18)) + 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*f - 19 = -787*f + 3*j, -12 = f + 2*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j + 260. Give p(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -18*m + 8*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/70 and -59\/315?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8160 and 48?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 392252*i\/3 - 19232703938\/3.\nAnswer: -2*(i + 98063)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 9, -5, -1, 5, 1387702 in ascending order.\nAnswer: -5, -1, 1, 5, 9, 17, 1387702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - 2\/3. Let t(c) = c**2 - 10*c - 6. Let u be t(11). What is the closest to 0.1 in 3, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 2735\/4 (c) -0.3 (d) 3\/2 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 7*p - 6. Let y(w) = -p*w**2 + w**2 - w**2. Let f(t) = 16*t**2 - 176 + 176. Determine y(f(i)).\nAnswer: -512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 12. Let o be q(-8). Let z(b) = -1 + o*b - b + 5. Let d(m) = 33*m - 201. Let r be d(6). Calculate z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2739.111 years?\nAnswer: 2.739111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -773 + 772.643. Let c = 57.557 + m. Let k = c + -57.2381. Round k to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 4508562*s + s**3 - 4508562*s.\nAnswer: s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m\/((m**4\/m)\/m))\/m)\/m))**(-3\/17))**(2\/3)\/(((m*m**(-1\/11))\/m*(m*(m*m**(4\/7))\/m)\/m)\/(m*m**2)**6) assuming m is positive.\nAnswer: m**(22317\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/v**(-2\/5)*v)\/v*v))\/v**(-2))**34 assuming v is positive.\nAnswer: v**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 51636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - u + 2. Let m be k(0). Let p be 3\/(-6) - (-59)\/m. Suppose p - 2 = 3*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227.26 + -3.74. Let h = y + 263. What is the nearest to 1 in 0.2, h, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-1 - (-4 + -2) - (3 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w - 4 + 2*w - w. Suppose 0 = -21*u + 4*u + 153. Let x(p) = -74*p - u + 39*p + 38*p. What is 6*x(a) - 14*z(a)?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7632154 is divided by 486.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (-3*(-4 + sqrt(1700)*-2 - (sqrt(1700) + 2 + 4)))**2 + 0.\nAnswer: 5400*sqrt(17) + 138601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90840.\nAnswer: 2, 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/60*-5*3*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4 and 69\/15598.\nAnswer: 31196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*k - 5*j, 4*j + 13 = 4*k - 11. Suppose -48 = k*r - 5*r. Solve -2*d - 12 = l - 3, -4*l - 5*d - r = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**3 + w**2 + 6*w**3 - 22*w**3 - w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 7038*v + 21096.\nAnswer: 2*(v + 3)*(v + 3516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 5c6?\nAnswer: -5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77.2 - 14.8. Let z = 86 + k. Which is the second smallest value? (a) -0.5 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 774.\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 1967 - 57263. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(454\/3 + 1). Suppose -4*r = r + 2*a - u, r - 4*a - 109 = 0. Suppose -r = -3*i + 81. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*i = 195*i. Solve t = -2, i*t - 3*t - 8 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 41*z + 0*z**2 - 35\/3*z**3 - 44. What is the first derivative of k(v) wrt v?\nAnswer: -70*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*d + 8, -3*d + 5*o = 4*o - 4. Let q be (-22)\/(-10) + d\/(-10) + 1. Solve 0 = -2*m - 2, -9 = q*f + 5*m + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4 - 0. Suppose 13 - q = 3*i. Suppose 0*u = -3*u + i*v - 14, 3*v - 9 = 3*u. Solve u*g + 16 = -2*y + 4*g, 0 = -5*y - 2*g - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -51*k**3 + 6*k**2 + 9*k + 3. Calculate the remainder when 229 is divided by z(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -32. Suppose 26 - 16 = p*c. Solve 2*t = -5*u - 3, 5*u - 2*t = -c*t - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1199694.59.\nAnswer: -599847.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3168 + 3167.4428. Let q = -0.5425 + p. Let t = q + 1.1. What is t rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2921112 to four dps.\nAnswer: 0.2921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257439*q + 326398 wrt q.\nAnswer: 257439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12 - 39*r + 0 + 0*r**2 + 0*r**2 + 64*r + 2*r**2. Let o be s(-12). Solve o = -5*t - 4*i - 40, i + 9 = 4*t - 4*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 - 694*g**2 + 839*g - 144. Determine n(-140).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.344 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(-2))*1\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622800 divided by -12.\nAnswer: 51900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2560845 - 0.256. What is y rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 429188 + -429185. Determine t so that -6\/5*t**4 - 18\/5*t**a + 2\/5*t**5 + 0*t + 0 + 54\/5*t**2 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -12, -9, 10, 51?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8689149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3300 = 4*v - 2*p - 2*p, -2*v + p = -1653. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/21 + 5\/3 + -2. Suppose 2*v - 5*g + 0 = 1, -g + 1 = k. Let p be -2 + (2\/(-2) - -3). Solve -7*s + v*s + 20 = p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-5 + (sqrt(136) - 2*((sqrt(136)*-1 - sqrt(136)) + sqrt(136))))\/(-4*(sqrt(200) - (sqrt(200)*2 - sqrt(200))) + sqrt(200)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139931414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4412 - 3?\nAnswer: -4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837 less than 119.3857783?\nAnswer: -2717.6142217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131058918?\nAnswer: 2, 11, 51411769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.482 + -0.062. Let s = y - 0.02. Let w = -8 + 6. Sort w, 5, s in increasing order.\nAnswer: w, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -5*s**3 - s**2\/2 - 1. Let x(i) = -352*i - 14. Let k(u) = 553*u + 22. Let v(g) = -7*k(g) - 11*x(g). Calculate v(p(r)).\nAnswer: -15*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44053434151 - -5?\nAnswer: 44053434200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2357 (b) -0.048 (c) 0.5 (d) 22 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1847269.871 to the nearest one hundred.\nAnswer: -1847300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583354 is divided by 38552.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d*((d*d**(-3)\/d*d*d)\/d)\/d)\/(d**0*d)**(2\/17) assuming d is positive.\nAnswer: d**(-70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 15 = -3*q - 36, q - 6*u - 9 = -2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one third of a hour in seconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 4. Let k be x(-1). Solve 4*s = 0, v + k = 3*s - s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -33\/287417?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -85 + 2*o**3 - 338*o**2 - 679\/2*o = 0.\nAnswer: -1\/2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 7*j + 2. Let f be g(-3). Suppose 4*b - 2*i - i = -10, 5*i = 4*b + 14. Let z = b + 1. Do z and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a**2 + 6*a - 30. Let k be j(4). Let h be (2 + 8\/k)*6. Solve g - h*i - 4 + 5 = 0, 2*i + 17 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1595 and 642?\nAnswer: 1023990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623392.3 minutes to microseconds.\nAnswer: 37403538000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viqhr. What is prob of sequence vih?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -20*z - 136, -148*j + z = 144*j - 297*j - 218 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n + 20. Let h be f(4). Let b(l) = -l**3 - 4*l**2 - l - 6. Let d be b(-5). What is the greatest common factor of d and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 9:19 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76049735 is divided by 2616?\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -k. Let u(l) = 4*l**2 - k*l**2 + l**2. Let b(j) be the first derivative of j**2\/2 - 205. Give b(u(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527 or -5?\nAnswer: -527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -10*i - 40. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*b - 3984. Suppose -2*p = 6*p - b. Suppose -4*k = -4*a - 108, -4*k + 2*a + p = -35. Solve -4*w - k = -4*n - 0*w, 11 = 4*n + 3*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76c9 - -25?\nAnswer: 7721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 34.16. Let m = -8 - -7.86. Let g = w - m. Is -3 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*w**2 - 25565*b*w + 79016*b + 2 wrt w.\nAnswer: -2*b*w - 25565*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 107.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpuupgpppgpp. Give prob of sequence up.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95, 98, 101, 104, 107, 110?\n\"Answer: 3*j + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - n - 32347 = 3*n - 32355, -12*n = u - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83706774?\nAnswer: 2, 3, 1019, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289*l**4 + 932*l**2 + 289*l**4 + 2767*l**5 - 812*l**5 wrt l?\nAnswer: 117300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 3*h**2 - 9*h - 5. Let j be a(5). Determine s so that 3\/2*s**2 + 3\/4*s**3 - 3\/4*s - 3\/2*s**4 + j = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 28*t**2 - 33*t - 1. Let h(r) = -6*r**2 + 6*r. Calculate -33*h(j) - 6*w(j).\nAnswer: 30*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*0\/((-30)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 875 + -732. What is the greatest common factor of u and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 74. Let c(j) = j**3 + 6*j**2 + 3*j + 2. Let z be c(-5). Let d(w) = 2*w**2 - 24*w + 30. Let k(f) = f - 1. Let v(l) = g*d(l) + z*k(l). Factor v(p).\nAnswer: 2*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4912)\/(-60) + (-8)\/540*-9. Solve -1 = g*r - 81*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1911 + 3817. Suppose -6*i + c = -1880. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + 0.075?\nAnswer: 65.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -55*o - 46. What are the prime factors of a(-4)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - 66 - (0 + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*w + 8 = 0, 3*v - 3*w - 16 = -7. Suppose -7*h + 31 = -v*h + f, 2*f + 8 = 0. Solve -h*l + 4 = 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from {k: 3, j: 13}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 12?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -908995*o**3 - 358715 wrt o?\nAnswer: -2726985*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*2)\/((-4)\/(-8) - 0). Solve 5*d - 12 = -w*g + 13, -4*d = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.7. Let k = 0.0842 - -0.9158. Which is the second smallest value? (a) r (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - 3*z**2 - 3*z. What is the remainder when 35 is divided by y(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187800, 1502331, 5070314, 12018471, 23473524, 40562195?\nAnswer: 64411206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 14722*d**2 - 5214560*d + 473510016.\nAnswer: -2*(d - 6993)*(d - 184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3129.\nAnswer: -2, 5, 3129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.82 (b) -49 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/4 - 32*a**4 - 2373*a**3\/4 - 3295*a**2 - 5800*a = 0. Calculate a.\nAnswer: -8, -5, -4, 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25843*w + 179657. Determine y(-7).\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -15739\nAnswer: -54\/15739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/5 of a century?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/20312545 and -14\/12187527.\nAnswer: 60937635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -83.6 * -0.012\nAnswer: 1.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/1733 (b) 7.6 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -50. Let i = j - -74. Put 0, i, 0.2 in descending order.\nAnswer: 0.2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 4, 10, -1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -78.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(200) + 5)**2*-6 + 0 + 1*sqrt(200) + -5.\nAnswer: -1211 - 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*f + 18*f - 12*f)*(5*f**2 + 7 - 7)*(-5 + 4 + 2 + f) to d*f**3 + a*f**4 + b*f**2 + t + w*f and give a.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, 625, 1677, 3139, 5005, 7269?\n\"Answer: -v**3 + 214*v**2 + v - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 11 + 0*s - 39.\nAnswer: -s - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -1. Suppose -20 = 5*h, 4*h + 40 = 3*i - w. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*r**2 - 71949*r**3 - 167*r**2.\nAnswer: -71949*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 176413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/(329\/(-6909)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 + -b7?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5891 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2. Let u = 8 - 4. Suppose 5*f - u*f + j + 1 = 0, 5 = f - j. Let v(n) = -n**2 + f*n**2 + 2*n**2. What is d(v(t))?\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32899 + 32889)*((-419)\/210 + 2).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/12)\/(42\/(2100\/50))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6710.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174762827*b**3 - 734*b**2 + 175*b - 320 wrt b?\nAnswer: 1048576962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**4 - 4*i + 4*i + 3*i)*((3 + 0 - 2)*(7 - 5 + 3) + 1 + 1 - 3).\nAnswer: -20*i**4 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.96 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69537 or -69541?\nAnswer: -69537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14333.666 - -14321. Round l to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 26. Let f be k(22). Let i(s) = s**2 - s - 1. Let c(r) = 12*r**2 - 4*r - 5. Let d(z) = f*i(z) - c(z). Differentiate d(g) wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3 + 28. Suppose 7 = 2*k - t. Let z = k + -19\/3. Which is the closest to 2\/9? (a) 0.3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.4 or 6\/11?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -9, -278*v + 4 = 2*q - 280*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 68. Put -8, z, -4, -2 in ascending order.\nAnswer: -8, -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*1 - (-5 + 3). Suppose 5*u - 46 = -0*u - 3*l, -t*u + 58 = -l. Calculate the lowest common multiple of u and -2 + 33\/9 + (-469)\/(-21).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrz when three letters picked without replacement from {r: 4, x: 2, v: 3, u: 1, z: 2, j: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0091239833 to 5 decimal places.\nAnswer: -0.00912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 18. Suppose -4*j = -t*j - 8. Solve -2*f + j = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1294\/3 - -432. Which is smaller: 0.161 or v?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10774010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*l - 30, 5*l - 3*l = -4*y + 54. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3\/4 + 1209*x**2\/4 + 103413*x\/4 - 104625\/4 = 0.\nAnswer: -279, -125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**3 + 4*v**3 + 2*v**3 + 14*v**3 - 4*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/484*11)\/((-4)\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = g. Suppose -5*d + 4*d = -g. Let z(o) = -3*o**2 - o**2 + 3*o**2 + 3*o**d. Let b(s) = -6*s**2. Calculate z(b(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/85)\/(22\/5797)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Let h = -0.07 - -0.37. Let l = h - -0.1. Sort 5, x, l in decreasing order.\nAnswer: 5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6480, 57, -3 in decreasing order.\nAnswer: 57, -3, -6480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t + 1. Let v(o) = -7*o + 1. Suppose -14 = -b - 8. What is b*v(z) - 5*q(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(6 + -2) - -5. Suppose -4*v - 2*r = -1656, -3*r - r = -o*v + 818. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5 and -37\/271.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -753534353*a*j**3 - 4*a + 47106030*j**2 wrt j.\nAnswer: -4521206118*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 6. Let y(o) = -4601*o**3 + o**2 - o + 1. Let k be y(x). What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -34, 8, 14\/3 in increasing order.\nAnswer: -34, -0.1, 14\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21117 - -21117. Let b(s) be the second derivative of d*s**2 - 3*s + 0 + 5\/6*s**3. Let y(j) = 10*j. Calculate y(b(m)).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 98*b**2 + 17*b + 57. Let f(a) = 33*a**2 + 6*a + 19. Let y(t) = 17*f(t) - 6*n(t). What is the first derivative of y(w) wrt w?\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 253*i**6\/6 - 49*i**2 - 21. Find the second derivative of q(f) wrt f.\nAnswer: 5060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 29*z**2 - 4. Let t be i(29). Find the common denominator of ((-992)\/18)\/t*(-39)\/(-104) and 47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2656 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.203 and 58.\nAnswer: 58.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2047, -4073, -6097, -8119?\nAnswer: -10139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + d + 5. Let n be h(5). Let u = n + 64. Suppose b = -3*k - 3 - 4, 0 = 3*k - 2*b + 13. Are u and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q - 3. Let z = 2 - q. Put -1\/4, z, -0.4 in decreasing order.\nAnswer: z, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-4 + 1)) + -2 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37016657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -0. Let u = 2.6 + -2.98. Let t = u - -0.18. Are s and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4536 - 4383. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 5*z + 2, -3*z + 1568 = 1562 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -17*j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3089330091 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2 - 2. Suppose -72*j - 8 = -75*j - 5*f, 0 = 2*j - 2*f. Suppose 0 = 2*x + o + 9, 2*o = -4*x - x - 21. Put u, 5, j, x in descending order.\nAnswer: 5, j, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67030570 divided by 5\nAnswer: 13406114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 1. Let b(u) = u**3 - u + 6. Let m be b(0). Let c be y(m). Does 40 divide 13\/(325\/(-240))*c\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybffmyffm. Give prob of picking 1 m and 1 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.2306168 to one decimal place.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -91276a?\nAnswer: 912772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 14*a - 13*a. Is 1\/(a - (-5544)\/5541) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25977 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2*-5)\/(sqrt(4)*-1*-5 + sqrt(4) + sqrt(4)).\nAnswer: -10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((0 - -4 - 2) + -5) - (48 - 104)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**(-16))))**25 assuming a is positive.\nAnswer: a**425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*w + 7*w - 338, 4*h = 2*w - 146. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -155*i**7\/42 - i**4\/6 + 181*i**3\/2 - 76*i - 1. Find the third derivative of c(n) wrt n.\nAnswer: -9300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 10 = -3*r. Let i be (35\/7)\/(-1 - -2). Solve 5*q = -s - 1 - 15, -i*s - r = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(66)\/sqrt(486)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 652, 1005, 1380, 1783, 2220, 2697?\nAnswer: 3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/10 + (-8)\/20. Let i be 2 - 0 - (-6 + o). Suppose i*f + 0*t = -4*t + 265, -10 = 5*t. 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 prob of sequence add when three letters picked without replacement from dvdvvdvfdvdvvvddvda?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 8*t - 48 + 1 + 53. Let i(r) = 6*r + 6. Suppose -6 = 12*x - 78. Determine x*i(s) - 5*c(s).\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 3*q**2 - 5*q + 3. Let r be a(3). Suppose -2*j + r = -65. Suppose -j - 8 = -4*d. What is the smallest common multiple of 6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 + 3*c**4 + 3*c**4 + (2*c**3 + c**3 - 2*c**3)*(-3 + 18*c + 3) - 4 + 2*c**4 + 4 in the form o + v*c + n*c**3 + b*c**2 + d*c**4 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m + 6. Let f be (6\/(-4))\/(4\/(-40)). Let j(o) = 4 + f*o - 16 - 1. Let r(y) = -6*j(y) - 13*l(y). Let k(p) = 2*p**2. Determine k(r(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r**2 - 16*r + 42. Determine j(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 494, 564, 692, 896?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29553 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 3. Suppose 85*p + 388 = 81*p. Let j = -91 - p. Calculate the remainder when c(6) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 12:44 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408*f**2 - 26*f + 268 + 21*f + 420*f**2 - 4*f**3 + 3*f**4 - 8*f**5 + 4*f**3 wrt f.\nAnswer: -160*f**3 + 36*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x + 51. Let o(u) = -4*u + 17. Let d = -7797 + 7790. Calculate d*o(m) + 2*j(m).\nAnswer: 2*m - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from xqjqdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 33 (c) -6 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2614 and -303.2132.\nAnswer: -302.9518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9767145 is divided by 72889?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-9) + (-3268)\/171 + 19)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + r - 2*r = -8, 4*r = 2*m + 18. Let y be (-24)\/(-1 - m\/(-2)). Let v be (-4*1)\/((-1)\/44). What is the highest common divisor of v and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 8. Suppose 5*i = d - 151 - 23, -5*i - 5*d = 180. Let j = i + 28. What is v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-140)\/(-70)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 364*a - 257*a + 358*a + (3 + 0 - 4)*(1 - 10 - 5)*(-5*a + 3*a + a).\nAnswer: 451*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 = -16. Suppose -j = 2*c - 5*c. Let m = 8 - c. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*l - 30, 34*l - 36*l = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*q - 0*q + 301. Solve z = -5*s - 4, 2*z - 4*s = 13 - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1*2.028.\nAnswer: -6.2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 2, 15, 36, 65?\n\"Answer: 4*h**2 - 7*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:11 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -5, -6, 103?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157780829?\nAnswer: 3511, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2039, 5, -4\/11, -1\/3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.828 + -12. Let n = 0.275 + o. Let w = -0.011 - n. What is w rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2 + 2*k - 6. Let h be p(-5). Suppose -4*f = -7 - h. Suppose -5*u = z - 2, 0*z + f*u = 3*z - 25. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -19*x**5 + x**4\/4 + 2534*x**3\/3 + 901. Find the third derivative of k(z) wrt z.\nAnswer: -2280*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.6203l in millilitres?\nAnswer: 981620.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**2 + 0*t**2)*(-119*t + 34*t - 42*t)*(-t**2 + t**2 - 2*t**2).\nAnswer: 508*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19124 is divided by 92.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7169121, 7169086, 7169051, 7169016?\nAnswer: 7168981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237180429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 20*z - 60. Solve z + 1 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112385032.\nAnswer: 2, 1741, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - 2.98. Let u be (-2)\/(-7)*(-28)\/(-18). What is the third smallest value in u, 1\/7, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100666181 minus 6?\nAnswer: -100666187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 635, -1.3, 5, -1 in increasing order.\nAnswer: -1.3, -1, 2, 5, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 27*n - 87. Calculate u(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1930188 - -1373188. What is g rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287468579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/23, 7679.848, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -727? (a) 0 (b) 1\/4 (c) 0.4 (d) 4 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**2. Let q(j) = -24*j**2. What is q(x(k))?\nAnswer: -11616*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.02 - 0.02. Let i = 4.9 + -5.1. Which is the nearest to m? (a) 5 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/52)\/(-26 - -25))\/((-1)\/3)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 76238123.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 494, 744, 1004, 1280, 1578, 1904?\n\"Answer: h**3 - h**2 + 246*h + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3350?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08472254 to four dps.\nAnswer: 0.0847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 24*l - 10. Give t(-22).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 + 4*w**4 - 2*w**4 + 0*w**2 + 0*w**2 - 2*w**4 + (2*w**2 - 2*w**2 - 2*w**2)*(w**2 + w**2 - w**2) - w**4 + 4*w**4 - 4*w**4)*(0 - 3 - 6).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 10\/(-4) + (-9747)\/(-494). Let f = -3899\/221 + j. Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.92 + -0.08. Let x be (-1168)\/15 + 3\/(180\/(-8)). Let h be (3*(-1)\/(-5))\/(x\/52). Sort 3\/8, f, h in descending order.\nAnswer: 3\/8, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155699?\nAnswer: 155699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*p = 709*p - 247 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*p**2 - 35*p**2 + 17*p**2)*(-46 + 77 + 18)*(2 - 2 + 1) in the form l*p + v*p**2 + i and give v.\nAnswer: -4557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45291, -90568, -135847, -181128, -226411, -271696, -316983?\n\"Answer: -x**2 - 45274*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2948358 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + 1)*-2 + 0.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -11*d + 51. Find the third derivative of 17 - 16*u**2 + u**3 - d wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -4, 1, 2, -3, -122 in descending order.\nAnswer: 2, 1, -3, -4, -52, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*a + 25. Let b(s) = 2591 - a*s**3 + 4*s**2 - 2591. Let i(k) = 21*k**3 - 6*k**2. Determine 8*b(n) + 5*i(n).\nAnswer: -7*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w - 27. Let f be t(-18). Suppose -f = -a + 50. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649510 to the power of 1\/2, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -7*p + 4*p**2 + 0*p**5 + 29\/2*p**3 + 0*p**4 + 0 + 11\/12*p**6. Differentiate m(t) with respect to t.\nAnswer: 330*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2)\/k*k\/k**1)\/(k*k**1)**(-12\/11)*(k\/(k\/(k\/(((k**3\/k)\/k)\/k))))\/k**(-5)*((k\/k**(-1\/4))\/k)**(-30) assuming k is positive.\nAnswer: k**(-7\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/((-1)\/(-26)). Suppose -4*z + b = -s, 0*z + 4*b = -2*z + 20. Suppose -z*g + 11 = -17. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 9*a**2 + 10*a + 4. Let s be g(10). Let c be 2\/s - 18\/(-12). What is the greatest common factor of 10 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpjqpzo. Give prob of picking 1 o and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b = 945. Let m(o) = b*o**2 - 4*o - 3*o - 317*o**2 - 5. Determine m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k. Suppose v + k = 2. Find the second derivative of 34*i**v - 27*i**2 + 2*i + 5*i wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*m + 12*m**2 + 1015*m - 504*m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + y)*(y + 3 - 3) + y**2 + 0*y**2 - 3*y**2 + (2 + 2*y - 2)*(-y + 2*y + 2*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*r - 464 + 114 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24337695 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.31, -2\/5, 9, -1\/2, -8\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323422389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 5:43 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r*r\/(r\/r**(-2\/11)) assuming r is positive.\nAnswer: r**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2.6, 3\/2, 2\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -18459.\nAnswer: -1\/18459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, 85, 391, 811, 1339?\n\"Answer: -i**3 + 66*i**2 - 5*i - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)*g\/g**0*g*g)\/(g**(-1\/3)\/g)**(11\/3) assuming g is positive.\nAnswer: g**(139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136 + 116. Let i be (3\/6)\/(78\/g + 4). What is the third smallest value in -24\/11, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*o**2 - 60*o**2 - 11*o**3 - 29*o**2 + 22*o**4 to the form i*o**2 + k*o**3 + t + d*o**4 + v*o and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 4*f + 11*f**2 + 0 + 1\/12*f**4 - 1\/6*f**3. What is the units digit of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/20 - 3*d**4\/4 + 4*d**3\/3 + 5*d**2\/2 + 2*d. Let x be p(8). Suppose 3*q + x = 59. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538 at most 26540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1607, -3205, -4801, -6395, -7987?\n\"Answer: t**2 - 1601*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let d(q) be the second derivative of q**4\/12 - 3*q. Give d(o(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 105354685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 10*a**2 - 10*a - 4. Let i be o(-9). Solve -4*d + i = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 25. Let z(k) = -7*k - 4. Calculate z(u(a)).\nAnswer: 14*a**2 + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 + 6*u**2 - 8*u + 4. Let m(h) = h**3 + h**2 - h - 2. Calculate -a(s) + 5*m(s).\nAnswer: -2*s**3 - s**2 + 3*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 - 1148599106.\nAnswer: -1148599109.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.055.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-96))\/((-5)\/10)*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + 93 - 61) + -25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(10) + sqrt(10)))\/(sqrt(45)\/(3*sqrt(9))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000199517719 rounded to 7 dps?\nAnswer: 0.0001995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 48. Let q be ((-2)\/(-2))\/((-13)\/o). Let g(k) = -30*k**q + 61*k**2 - 33*k**2. Let h(u) = 41*u**2. Give h(g(t)).\nAnswer: 164*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((5*(1 + sqrt(242) - sqrt(242)) - sqrt(242)) + sqrt(242) - -3*2*sqrt(242)) + 0)**2.\nAnswer: 10560*sqrt(2) + 139792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 2 = 79*v. Let w be v\/(-1) + 0 - 404\/4. What is the closest to 1\/3 in -0.4, w, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 42*q + 29*q - 90*q + 24*q - 138. Let o(m) = m**2. Give o(s(b)).\nAnswer: 25*b**2 - 1380*b + 19044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(440\/(-99)) - (0 + 4\/(-1))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2459 + 3*x - 7495*x**3 + 2459 - 3*x.\nAnswer: -7495*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {b: 3, m: 3, v: 2, a: 1, r: 3, w: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = -3*y. Let c be (2 + (-896)\/(-12))*3. Suppose y*b - 50 = c. Calculate the lowest common multiple of 8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2 + c - 2. Suppose 3*p - p = 6. Suppose 0 = 4*y - p*y. Give u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3974178 is divided by 1125.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18312 and 8634?\nAnswer: 26350968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n**4 + 312*n**3\/5 + 414*n**2\/5 + 32*n + 18\/5 = 0 for n.\nAnswer: -1\/2, -1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 20*s**3\/3 - 107*s**2\/2 - 66. What is the second derivative of l(d) wrt d?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -3?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (1 + 2) - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by 14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 1460\nAnswer: 13\/1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 - 9*h - 97105 - 97128 + 194254 to s*h + y + w*h**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3. Let g(s) = -s**2 - 5*s - 4. Let z be g(-4). Let d(v) = 2*v - t*v + z - 2 + 0*v. What is d(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b457b4 + 0?\nAnswer: 17b457b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u**2 + 24*u**3 - 39*u**2.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = -2*c - 16, 7*c - 3*a - 8 = 8*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15439, 30736, 46035, 61336, 76639, 91944, 107251?\nAnswer: 122560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 28*j**3\/3 - 20*j**2 + 12*j + 17. Suppose q(z) = 0. Calculate z.\nAnswer: 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 4:22 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1966 by 2.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -19. Suppose -4*n + 4 = -4, -d*b + n = -84. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, and 2 f when four letters picked without replacement from ffdrkfdokdlf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let i(v) = 10*v + 0 - 3*v**x - 6 + 2*v**2. What is the tens digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -0.2. Let v = -135\/7 + 138\/7. Let a(w) = 2*w - 3. Let f be a(3). What is the closest to k in 1\/2, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26854438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - 67.86. Let m = v + 66.87. Let c = 1.1357 + m. What is c rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 97, -1, 99, 5, -5 in increasing order.\nAnswer: -5, -2, -1, 0, 5, 97, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50829*p**2 + 70820*p**2 + 136326*p**2 - 57604*p**2.\nAnswer: 200371*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/2*80\/(-35). Let s(o) = -3*o**2 + 22*o + 8. Let m be s(h). Let z(w) = w**2 + 7*w - 13. Let g be z(m). Put -3, g, 2, -1 in decreasing order.\nAnswer: 2, -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*27 + (-1*10 - (-1 - -105)\/(-13))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011100010110 (base 2) in base 14?\nAnswer: c862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 19*b + 12. Let q(n) = 135*n + 90. Let j(t) = -2*q(t) + 15*w(t). What is j(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-17288\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*a + 3*j, 3*a - 4*j - 60 = -75 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15\/7 (b) -7 (c) 0.1 (d) 7\/6 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6045*21.\nAnswer: 126945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/929985 and 32\/2499.\nAnswer: 6509895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(304) + sqrt(304))**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/5)\/((-45)\/(-150)). Let f(t) = 0*t**2 + 8*t**2 - 19 + q. Is f(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*1*-2. Suppose -2*k = -d*k + 8. Suppose -k = -3*o + o. Sort -2, 2, o in ascending order.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 42 - (3 + 13)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36093419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4807 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13458*b**3 - 6*b - 13510*b**3 + 3*b + 2 wrt b.\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 4. Let b be h(2). Let n be 3 + ((-8)\/4 - b). Find w, given that 5*w**5 - n*w**5 + 2*w + 10*w**2 - 4 - 4*w**4 - 4*w**3 - 2*w**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10127245343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, s: 3}. What is prob of sequence sss?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:07 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 13 = -w, 0 = -5*z + 3*w + w - 2. What are the prime factors of 23\/(-1 - -2) + z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(192))*4 - (-1 + sqrt(192) + -5)) + (sqrt(192) - (-1 + sqrt(192) - sqrt(192))*-6) + -5 + 5)**2.\nAnswer: -256*sqrt(3) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -0.1. Let z = -0.87 - -1. Let n = z - -0.17. What is the nearest to -1 in n, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5 - -1) + -5803)*-1. Let w(y) = f*y - 5804*y - 1 + 1. Let r(q) = -15*q. Calculate w(r(b)).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/4 (b) -2\/19 (c) 9.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22535783*n**3 - 56980508?\nAnswer: -67607349*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*u - 79*u + 143*u.\nAnswer: 1135*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2 - 4 + 4 - 5 + 6*m. Let d = 8 + -13. Give o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let t = -141 + 138. Let c be (-168)\/36 - 2\/t. Let y(i) be the first derivative of -i**2 - 4. Calculate c*r(f) + 3*y(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1965444.\nAnswer: 2, 3, 13, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75447719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 2. Let h = 19 - 12. Suppose s = -2*r + h, -3*r + 7 + 1 = 4*s. Let o be s\/((2 - 0)\/4). Give m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608749007 and 25797.\nAnswer: 8599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*b - 5*v + 296, -20 = -4*v. Calculate the remainder when b is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3077 - -11914. Is z a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*t**2 - 2 - 5 + 7 - 101*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r**2 + 219*r**2 - 77*r**2 - 67*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1450 and 326535650.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39556 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/9*-3 - -115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522 + 3372 + 2066 = 116*x for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1732*d**2 - 4*d - 6651. Let v(q) = 3463*q**2 - 7*q - 13295. Let b(h) = 7*r(h) - 4*v(h). What is the derivative of b(x) wrt x?\nAnswer: -3456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1216, 13, -30 in descending order.\nAnswer: 1216, 13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pop when three letters picked without replacement from {o: 2, l: 2, a: 2, r: 8, p: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (-150043)\/(-114) - (-3 + 57\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/12104 and 11\/884?\nAnswer: 157352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1276763 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 44. Let b(r) = 3*r + 5. Let q be b(x). What is the units digit of -128*(-2)\/q - 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1465*r - 38*r + 968*r - 1636*r - 6317*r)*(-13*r + 27*r - 9*r) to the form m + l*r + x*r**2 and give x.\nAnswer: -42440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6.17, 1\/6, -5, 0.11, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 3*n**2 - 2*n**2 + 0*n**2 + 5*n**2 - n**2 + (92*n - 50*n + 1 - 47*n)*(-2*n + n - n) as v + i*n + x*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 22042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-270)\/189)\/(5\/(-61894)) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -99, 21, -0.5, 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1842 - 9?\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 12*l + 426. Let y(w) = 16*w - 10. Give y(u(d)).\nAnswer: 32*d**2 + 192*d + 6806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - 60 - -173) + 15?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1b6 (base 14) to base 7\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14783255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100025 or 2537?\nAnswer: 100025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(432)*2)**2.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3)**(-24)\/(((p*p**(1\/13)*p*p)\/p)\/(p*p\/(p\/(p**11\/p)))) assuming p is positive.\nAnswer: p**(740\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 208*l - 216. Let i be b(2). Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44816 and 28010.\nAnswer: 224080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.3, -0.4, 2\/13, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*y**2*z**4 - 3918654*y**2*z**2 + 4355*y**2*z + 9*y + 2*z - 82 wrt z.\nAnswer: 168*y**2*z**2 - 7837308*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7088812631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2\/5, 8786, 2\/31 in decreasing order.\nAnswer: 8786, 2, 1, 2\/31, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23643 or -23641?\nAnswer: -23641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -5*o - 14*q + 2860014, -q = -2. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((2 - 0) + 28)*(-290)\/(-87) and 90?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137104 is divided by 162422.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*v - 34278 = 0, 34281 = -3*t - 11*v + 14*v. Round t to the nearest 100.\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011991 rounded to 6 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157, 453, 935, 1603, 2457, 3497?\n\"Answer: 93*b**2 + 17*b + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 21) + (-32)\/(-2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 7*s - 0. What is the remainder when 57 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -20. Suppose p = -2*h - 105, o*h - 3*h + 175 = -2*p. Let i be 3 + (p\/7)\/5. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1, 113, 243, 7, 13 in descending order.\nAnswer: 243, 113, 13, 7, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkkknk. What is prob of sequence kn?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/9))\/u**(13\/5))\/(u\/(u**(4\/3)*u)*u**(5\/3)) assuming u is positive.\nAnswer: u**(-107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**7\/252 + 241*a**6\/180 + 2*a**5 + 2437*a. Factor b(g).\nAnswer: g**3*(g + 1)*(g + 240)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.72358km in micrometers?\nAnswer: 5723580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2 - 8766*l - 217275 = 0.\nAnswer: -2897, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 7, k: 2, v: 2, n: 6}. Give prob of picking 1 l, 1 v, and 1 f.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 4)\/(-4) - -4. Solve -k*b - t = 9, -4*t + 2 - 22 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*k + 159 + 284 - 79*k - 123*k - 124*k.\nAnswer: -210*k + 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 54*n**2 + 47*n + 21. Let j be g(-28). Which is smaller: 274 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074597 is divided by 230351.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 19 + -15 + (9 - (-3 - -2)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 7*u + 5. Let x be z(-8). Let n(h) be the second derivative of -31*h**3\/6 + 11*h**2\/2 - 6*h. Is 25 a factor of n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -615293.472 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093023031 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in 0.3, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-56)\/(-10))*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -67.9\nAnswer: -1290.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 7 + 3, -s - 3*d + 15 = 0. Let c = s + 2. Let k be (1\/(c\/(-3)))\/(-3). Put k, -4, 6\/5 in descending order.\nAnswer: 6\/5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65629 or 65637?\nAnswer: 65629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*z + 20, -2*z + 14 = -2*u - 7*z. Let l be 4\/((-4)\/14 + (-24)\/210). Let a = l - u. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4509803.2 rounded to the nearest 100?\nAnswer: -4509800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83422 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(22\/(-6)). Let p = -0.075778 - -0.025778. Which is the closest to 3? (a) p (b) -1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 23*f + 702 = -25*f, 5*f + 339 = 2*v. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 36*l + 40*l = 16, -2*l - 16 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k - 1. Let l be j(0). Let o be (-2)\/(-42) - (-1)\/(-3). Let z be (30\/(-75))\/((-6)\/(-5)). Which is the nearest to z? (a) l (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwwsww. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745290 is divided by 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -425, -426, -427, -428, -429, -430?\n\"Answer: -r - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 - d. Let n be a(-1). Let u be 6*(n\/(-2) - -1). Let g = 8 + u. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 35*w - 93. Calculate r(-25).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2015.1099729 - -10647\nAnswer: 8631.8900271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3117*u**2 + 53*u + 7 - 52*u - 973*u**2. Let o be v(-3). What is o rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:06 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 16 + 14. Let d(q) = 9*q - 23 + 33 + j*q - 27. What is the units digit of d(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 11*v**2 + 11*v + 14. Let b be x(-10). Solve -7 = -b*y - 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/39 + ((-4580)\/240)\/((-2)\/(-8))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let f(l) be the third derivative of -2*l**5\/15 + 8*l**2. Calculate f(d(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(6))\/sqrt(4) + sqrt(8)\/sqrt(4) + sqrt(2) + -5 + 4.\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 175. Suppose 0*q = -q - 5*c + 16, 0 = -z*c. Solve -3*a = 3*t + 13 + 2, 5*a - 4*t = -q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107*p**3 + 75*p**2 + 22450 wrt p?\nAnswer: -321*p**2 + 150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 + -221. Put h, -5, 4, 5 in ascending order.\nAnswer: -5, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:00 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-2) - (-24)\/(-8). Suppose -4*w + 6*t - 3*t + 35 = 0, 0 = -5*w - 4*t + 5. Sort l, w, 2 in descending order.\nAnswer: w, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = g + 4, 3*g + 3*x - 38 = x. Suppose 6*z = 4*z + 12. What is the remainder when g is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840353323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + -2 + 68 + 11.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(12 + -6). Let a(r) = -8*r**3 + 12*r**2 + 20*r. Let b(s) = 7*s**3 - 11*s**2 - 18*s. Let w(j) = u*b(j) - 3*a(j). Factor w(v).\nAnswer: -4*v*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187606278.19616 and -0.4.\nAnswer: -187606278.59616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 341423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:32 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**4 - x**2 + 2*x + 4. Let p(q) = -177*q**4 - 2*q**2 - q + 11638. Let k(d) = -2*n(d) + p(d). Differentiate k(j) wrt j.\nAnswer: -724*j**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1373.5 - 1374. Which is the biggest value? (a) 1.05 (b) 2 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivim when four letters picked without replacement from {g: 3, i: 5, v: 1, m: 6}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/(a*a**(-4\/9)\/a)*(a*a*a**(2\/5))**23*(a**4\/a*a*a**(-3))\/(a**(-4\/7)\/a**(-4\/3)) assuming a is positive.\nAnswer: a**(16658\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2470 divided by 5.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 129\/4. What is the closest to -1 in 5, n, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 2, a: 2}. Give prob of sequence caa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3 - 8. Suppose -5*j + 3*r = z + 1, r = 3*j - 2. Factor -2*i + 4*i**j + 4*i**4 - 2*i**5 + 4*i**5 - 8*i**4.\nAnswer: 2*i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5018 + 5020. Let o = -8\/7 - -23\/14. Determine n, given that 1 + 1\/2*n - o*n**3 - n**u = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-365)\/125 + 8 - (-15)\/(-3 - 0)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1381.2 - -1381. Put -15, 0.3, -8, q in increasing order.\nAnswer: -15, -8, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315 or 1590?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 11012336069.359\nAnswer: -11012336069.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*z + g + 2*g, -5*z + 13 = -4*g. What is the remainder when 43 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312705 a multiple of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 3*u**2 + 3*u**2 + (u**2 - 2*u**2 - u**2)*(0 + 0 - 2*u**3) - u**5 - 22*u**5 - 6*u**5.\nAnswer: -27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 - 22*q + 7. Calculate k(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 2, i: 1, u: 4, w: 1, t: 1}. Give prob of picking 1 i, 1 o, 1 t, and 1 w.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-198) + 89\/11 + -2. What is the third smallest value in 5, 1, -0.3, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/26 + 559\/(-676). Sort 0, k, 2\/17, -7\/5 in increasing order.\nAnswer: -7\/5, k, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**9\/7560 - y**8\/3360 + y**7\/1260 + y**6\/360 - y**4\/6 - 7*y**2. Let n(x) be the second derivative of p(x). Factor n(b).\nAnswer: -2*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -15.53356?\nAnswer: -16.03356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -1, 1, -103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + -1 + (20 - 17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 3*g + 3. What is the least common multiple of 45 and a(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -13, 21, 40, 1 in decreasing order.\nAnswer: 40, 21, 1, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*q + 5, 2*q + 0*q + t - 5 = 0. Suppose -8*a + 5*a + 6 = q. List the prime factors of -6*(a - 84\/9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 40*m**3 + 2*m**2 - 12*m + 10. Give z(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21579851*p**2 - 28194004 wrt p.\nAnswer: -43159702*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0934529cm to meters.\nAnswer: 0.000934529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12023114 + -40?\nAnswer: -12023204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 221469637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1551*c + 1546*c - 2*q + q + 3 = 0, 0 = 5*c + 5*q - 95 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 74, 3, 6, -3.\nAnswer: -3, -2, 3, 6, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 11.2. Let s = 1.4 + z. Let v = s + -1.2. Which is the third biggest value? (a) v (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3*5\/(-315)*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pooo when four letters picked without replacement from {p: 8, o: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 5*w)*(-3 + 5 - 1).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - f - 7, 2*f - 30 = -3*b - 2*b. Suppose 0 = 3*c - 1 - 5. Solve b*o + u = 11, -o + u - 6*u = c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*r - 5*g - 10, 5*r + 10 = -3*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28.189+-130082542.2\nAnswer: -130082514.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 4*k - 6*k + (4 - 4 + k)*(-1 - 1 + 4) + 4*k + k - 3*k + 3 + 136*k - k - 6 + 62*k + 3.\nAnswer: 200*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + a**2 + 4*a**2)*(-3 + 0 + 2 - 39*a**2).\nAnswer: -78*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7523387*n**2*p**5 - n**2*p - 32*n**2 + 3*n*p**2 - 9*n*p + 2*p wrt p.\nAnswer: -451403220*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/60 - c**5\/20 - 73*c**3\/3 - 52. Let y(f) be the third derivative of x(f). Find the second derivative of y(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22 and -45\/6184.\nAnswer: 68024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from hvuuuuduhuxxxxdh.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 95181.21s in days?\nAnswer: 1.101634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (0 + (-16 - (37 - 3)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:53 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22395730970050 + 22395730969660.38035541319. Let s = x - -0.61964651681. Let k = s + 389. What is k rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102045320 + 3?\nAnswer: -102045313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*x + 198 = 230*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2125189 + -0.3\nAnswer: -2125189.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 5) in base 7?\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25595 = 14*a - 19*a. Suppose 1521 = 5*l - a. Suppose -l + 140 = -9*p. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 629, 3\/5, -1\/4, -4?\nAnswer: 629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1073 and 13.\nAnswer: 1.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9398698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:44 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kmkmkkmkkkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4108 divided by 13\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.251428kg to micrograms.\nAnswer: 3251428000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4834 + 0.01\nAnswer: 0.4934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -0.34\nAnswer: 62.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.83885 - 4.1604. Let a = -12.7 + -0.3. Let r = a - i. Round r to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1610 and 42910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*h**4 - 251*h**2 - 6 + 1133*h**3 - 1134*h**3 + 5 wrt h.\nAnswer: 2160*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -76, -136, -196, -256, -316, -376?\n\"Answer: -60*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7) - 427\/(-294)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 80 = 4*y. Let f = y + 22. What is the units digit of f + -4 + (-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (4 + (1*sqrt(1573) - sqrt(1573) - sqrt(1573))))**2 + (3*sqrt(1573)*2)**2.\nAnswer: -176*sqrt(13) + 62936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 10227525*q**2.\nAnswer: -5*q**2*(q + 2045505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/16 - 453\/208. Let l = -94\/195 - r. Sort -3, -0.3, -5, l in increasing order.\nAnswer: -5, -3, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-2\/3)*(w**(-1\/8))**(-23) assuming w is positive.\nAnswer: w**(37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 24*h - 10*h + 30*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**22*y)\/((y\/(y\/(y\/(y**(3\/7)\/y*y))))\/y*y))\/(y*y**5*y*y**(3\/4)) assuming y is positive.\nAnswer: y**(411\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*b**3 + 13*b**3 - 17*b**3)*((-1 - 1 + 1)*(-2*b + 0 + 0) + 4*b + 2*b - 5*b).\nAnswer: -123*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.2. Let x = 2354\/3513 - 4\/1171. What is the closest to m in -1\/4, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r*r**0)\/r)\/r)\/r*r)\/r)**(-2\/59)\/(r**10*r*r*r**(-6)) assuming r is positive.\nAnswer: r**(-352\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (2 - 12\/2). Let t(n) = 931*n - 463*n + 146 - 460*n. Let q be t(-17). What is the highest common divisor of q and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2077 = -3*u + 3230. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31614.35 plus 8732?\nAnswer: -22882.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8306948 divided by 37588\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7127 + -508. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*l - 9*t - 971 - 635 = -7*t, 2*l - 3*t = -4*t + 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253404221.\nAnswer: 7, 36200603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82 and 2127?\nAnswer: -174414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3730207?\nAnswer: 13, 43, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5977081 from -26.\nAnswer: 5977055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -195354.3121 rounded to the nearest ten?\nAnswer: -195350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:00 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 21018*k - 13002440 = 0. Calculate k.\nAnswer: 638, 20380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19992 - 10485. Does 53 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, c: 1, g: 1, m: 2, a: 2}. Give prob of sequence va.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63663 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 11301?\nAnswer: -10\/3767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1528 and -29\/2139964.\nAnswer: 4279928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/2*(9 + -7). Calculate the common denominator of -109\/10 and (-93)\/21 - w\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 92730*z**2 + 92730*z**2 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*a + 25, 2452*p + 5*a + 23 = 2455*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let l(v) = 9*v - 4. Let i(j) = 0*j + 1 - j + 3*j - 3*j. Let p(x) = 4*i(x) + l(x). Calculate z(p(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/9*-3*1)\/((-315)\/22680)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose 0 = -3*g + 2*y + 5, g + p*y = 5*y - 3. Find the second derivative of -6 - 13*w + w**g + 6 - 4*w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (-1 + sqrt(48))*4 - 5*2*(sqrt(108) - (sqrt(108) + -3 - sqrt(108)))).\nAnswer: -220*sqrt(3) - 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 1507, 1852, 2193, 2530?\nAnswer: 2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5654 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/15, 1\/4, 20\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/22*16\/5. Solve 8 = p*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 16*c**2 + 22*c - 18. Suppose 0*u - 65 = -5*i - 4*u, -2*i - 4*u + 14 = 0. What is the units digit of l(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 137, 424, 981, 1898, 3265?\n\"Answer: 15*g**3 + 2*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let f(u) be the third derivative of 0*u**3 + 0*u - 2\/15*u**5 + 7*u**2 + 0*u**4 + 0. What is b(f(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 5, -1, 106, 13, -5 in ascending order.\nAnswer: -6, -5, -2, -1, 5, 13, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.937 + -0.063. Let y = i + 13.99984. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 876875272*z**4 - 896958190.\nAnswer: 3507501088*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1370*i + 1476*i = 2686*i - 12160 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 2.4497.\nAnswer: -29.3964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y. Let g(q) = 765240 - 765240 - 14*q. Calculate -2*g(n) - 3*t(n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 12.8. Let t = -0.8 - s. Which is the biggest value? (a) -5\/3 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6022?\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 52*s + 97 = -31, 96 = 3*n + 3*s - 11 + 29 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -2)\/((-15)\/35). Let m = 13 + -7. Let s = w - m. What is the second smallest value in s, 0, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 9\/(27\/(-6)). Suppose 2*t - 8 = -5*b, 3*b + 3*t - 1 = -n*t. List the prime factors of (-14)\/b*(2 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + 1*sqrt(833) + (sqrt(833) + 0)**2 + -4.\nAnswer: 7*sqrt(17) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spcn when four letters picked without replacement from {n: 3, t: 1, s: 5, c: 1, p: 2}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -1952\nAnswer: -9\/1952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 778 = -2*v + 5*i, -v = -4*i - 402. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4109 - -147821\/36. Find the common denominator of c and -41\/1011.\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-5) + (-4)\/10. Let f(v) = -v**3 + 11*v**2 - 6*v + 69. Let i be f(11). Solve 4*u = -8*z + i*z - 22, r*z = 4*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 39 (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - y + y - 4*y. Let f(b) = 4*b. Determine z(f(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(684) + sqrt(684))**2.\nAnswer: -48*sqrt(19) + 2739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316304*o + 17426*o**2 - 316304*o + (0 + 3 - 1)*(2*o + o**2 - 2*o))*(3*o**2 - 3*o**2 - 2*o**2).\nAnswer: -34856*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.36 + -0.9. Let b = 0.06 - t. Let f(n) = 3*n**3 - 2*n**2 + n. Let w be f(1). What is the third smallest value in b, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2920*h + 2920*h + 3*h**4 + 2*h**5 + (-2*h**5 + 0*h**5 + 3*h**5)*(6 - 1 - 3) + 6*h**2 - 6*h**2 + 7*h**5.\nAnswer: 11*h**5 + 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 - 137*t. Let o(d) = 2*d**3 + 11*d**2 + 274*d. Give 11*j(b) + 6*o(b).\nAnswer: b**3 + 137*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z - 20 = 0. Let a = -7229.7 - -7230. Let o be (-2)\/(-1) + (-51)\/21. What is the nearest to -1 in o, z, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 2:39 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67068900319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*q - 106 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20049.23397 - 45?\nAnswer: -20094.23397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 363.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2833*i - 2668*i = -7112*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 580655 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.6 + 9.4. Suppose 0*s = s - 3*s. What is the closest to s in 26\/3, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2573.3 - 2571.3. Suppose k + 1570 = 6*k. Let g = k + -2194\/7. Which is the nearest to 1? (a) -4 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 48*d = 28*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 132.9602 - -0.06\nAnswer: 133.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*18 - (5\/(-5) - 2). What is the greatest common divisor of g and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvbbbvvhvbbvvhbvb. Give prob of picking 2 h.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 18*u**5\/7 + 69*u**4\/7 - 909*u**3\/7 - 399*u**2 - 2673*u\/7 - 120 = 0.\nAnswer: -8, -1, -5\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/(-3)*(-6)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -3*s - 2\/3*s**3 + 23 - 11\/4*s**2 + 1\/8*s**4. Factor t(c).\nAnswer: (c - 6)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 418, 390, 360, 328, 294?\n\"Answer: -h**2 - 25*h + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4226305 <= -4226311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 13 + 4 + 6 + 4. Let u(m) = -3*m**2 - 4. What is -4*h(d) - u(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111010001110 - 110010100?\nAnswer: -101000000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + (8 - 1) + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, h: 6, a: 5}. What is prob of picking 1 c and 2 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + ((sqrt(2)*-3)**2*-4 + 2)*-4).\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 7 + 2*i**3 - 6 + 2*i**2 - 11 in the form a*i + p + h*i**3 + k*i**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -313340 - -335587082\/1071. Let l = -4\/63 + n. Sort l, 0.2, -11, 3\/4.\nAnswer: -11, l, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -4, -7\/2, 1\/9, -16?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(2 - 5 + 2)*(-3497 + 130*k + 3497).\nAnswer: 130*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.20253651 - 0.60995\nAnswer: -0.81248651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*t**2 - 356 + 715 - 357.\nAnswer: 110*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2 and 94301?\nAnswer: 301763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.263 + 1074670798?\nAnswer: 1074670797.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691\/23 - 31*4200\/4340?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -31. Let r be (-650)\/g*(1801 - 1). Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbubbbbb. Give prob of picking 3 b.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4236 + 2352. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46\/181 - -10145\/2172. Let i = 210506411552179\/83107533894 - 139200986\/54849. Let b = 2\/68873 - i. What is the common denominator of b and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.056, -0.09, -4\/3, 1\/3 in descending order.\nAnswer: 1\/3, 0.056, -0.09, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -119 in descending order.\nAnswer: -4, -6, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -95*t + 9. Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -3*h**6\/10 + 5*h**3\/3 + 3*h. What is the second derivative of a(p) wrt p?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + 30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:18 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320 + 1603?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00088047119 to 5 dps.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1423.00641 + -1423. What is x rounded to 4 dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/99 and -50\/57?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 261? (a) 15\/2 (b) 4 (c) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*8\/128*-1*480\/135?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4995 - 2296 + 4392 = 404*f - 5029 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 5, -3\/7, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.3, -47, 5 in descending order.\nAnswer: 5, -0.06, -0.3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(48\/(-78)) - (-4 - 1). Let m be 42\/((-7 + 13)*2\/x). What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393053.\nAnswer: 3, 464351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a microgram in nanograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/32 and -99\/728.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6021675*p - 22088623.\nAnswer: -6021675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -2, -26.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -292*g + 24. Let y(w) = -146*w + 13. Calculate -6*h(u) + 11*y(u).\nAnswer: 146*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -110*b**2 - 4*b - 9. Let p(z) = 223*z**2 + 9*z + 20. Give 4*p(n) + 9*r(n).\nAnswer: -98*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5568*b**2*n + b**2*x - 566664*b*n*x + 2*b*n + 15*n - 39 wrt x?\nAnswer: b**2 - 566664*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.459532 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10200 + 1021?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**4\/30 + 5*p**3\/3 - 46*p**2\/5 - 25*p. Solve j(o) = 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-424)\/(-4293))\/(8\/6).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.307 + -0.083. Let p = k - -0.3899981. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*o - 683 - 797 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let l(s) = -3*s. Let p(d) = -3*d**3 + 6*d**2 - 3*d + 1. Let u be p(2). What is u*g(f) - l(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 320*s**2 - 1211*s - 211320. Calculate u(314).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -261*o - 5739. Determine c(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*g + 24, 2*h + 4*g = -3*h + 3. Suppose 0 = h*d - 81 - 6. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:14 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*39.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 - 121 - -12 - (1 - 14)) + -15?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17146999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -2 + 2 - (3 + sqrt(5)*2)) + (sqrt(500) - (1 + sqrt(500))) + -3 + 4)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 23 = 128. Let m = -15 + k. Find the common denominator of m\/11*(-3 + 4) and 19\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*s = 61402, -5*r - 5*s = -3*r - 30716. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 90*p**2 - 8*p - 1. Let d(w) = 112*w**2 - 6*w. Let n(s) = -5*b(s) + 4*d(s). Let c(o) = -2*o**2 + 15*o + 6. Determine 3*c(z) - 4*n(z).\nAnswer: 2*z**2 - 19*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 410257 (b) -3\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1298698 by 2.\nAnswer: 649349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78474*w + 164575*w - 79810*w.\nAnswer: 6291*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*3360\/1470.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2189*y - 246 wrt y?\nAnswer: 2189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 6068?\nAnswer: 42476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1988652 by -6.\nAnswer: -331442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 661460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l + 338 = 23 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*b + 237*b - 484 = 899 + 3. Find x such that -1\/3*x**2 + b*x - 3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*f = 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/(g*(g\/g**(-1\/4))\/g)*(g**(-1\/4)*g)**(2\/45))**(-3) assuming g is positive.\nAnswer: g**(193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 15*n**2 + 96*n + 930. Is 126 a factor of v(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 10*f**2 + 175*f + 342. Calculate z(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -27, 5, 1 in descending order.\nAnswer: 5, 4, 1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -15820.\nAnswer: 11\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002250721978 rounded to seven dps?\nAnswer: 0.0002251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 34. Let r be s*1\/8 - 39\/(-12). Calculate the smallest common multiple of 14 and (r\/(-6))\/(6\/(-240)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/((n\/((n\/n**23*n)\/n))\/n)*n*(n*n**(-26))\/n assuming n is positive.\nAnswer: n**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 906*d + 17 + 23 - 63 to the form m + p*d and give p.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n. Suppose 0 = -v + 5*k + 5, -3*v - 4*k - 15 = -6*v. Suppose -4*u + 4*q - 6*q = 14, 0 = -v*q - 15. What is x(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74519270 to the power of 1\/2, to the nearest integer?\nAnswer: 8632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465771 is divided by 38735?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/198*-9 - (-259185)\/(-2442).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128628168?\nAnswer: 2, 3, 5359507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjckjjcc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/7 + 1)*(4332\/(-22) - (-4450)\/4895)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 3*c)*(1 - 3 + 0)*(-335*c + 290*c + 215*c).\nAnswer: 340*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 38. Suppose -4 = 3*w - 2*w, t - 24 = 4*w. Let y = g - t. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-34) + 980\/238. Let m(v) = 41*v + 46. Let i be m(-1). Solve -3*l + 12 = -i*j + l, j - 4*l - u = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 85*g**2 + 2817*g + 515. Determine l(-33).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 3*r**2 + r - 3. Determine o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*m + 71 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19648, 19634, 19620, 19606, 19592, 19578?\n\"Answer: -14*a + 19662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 5 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 5533728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -21*y**5\/20 - 250*y**2. Let r(q) = -9*q**2. Calculate r(t(i)).\nAnswer: -35721*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1853?\nAnswer: 5559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*o = 9, 9*f + o = 11*f + 3. Which is the closest to f? (a) 4 (b) 1\/4 (c) 1\/2 (d) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*t**2 - 309408*t + 785169.\nAnswer: 3*(t - 7931)*(13*t - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2722129291.\nAnswer: 7, 347, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31, -117, -251, -427, -639, -881?\n\"Answer: r**3 - 30*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (9 + 1) - (107 - 112)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15422*r + 15420*r + n = 4, r + 2*n + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + 2*sqrt(5) + 4)*-3*-5.\nAnswer: 30*sqrt(5) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -356 - -502. Let n = i - -134. Calculate the greatest common factor of 35 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -276627.\nAnswer: 1\/276627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -j + 3*x, -2*x - 3*x - 15 = 2*j. Suppose 5 = r - 0. Suppose -3*s + 3*y + 10 = -4*s, -4*s - j*y - r = 0. Solve -4 - 6 = -s*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -1.\nAnswer: -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 97, 119, 155, 211, 293, 407, 559?\n\"Answer: i**3 + i**2 + 12*i + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = 812*x - 919*x - 85 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316539715.\nAnswer: 3, 5, 7, 59, 373937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -17874 greater than or equal to -17868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y - 3 = 0. Let o(f) be the second derivative of 4\/3*f**3 - 1\/2*f**2 + f + 0. Determine o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 7*f**2 + 14*f + 82. Let p be z(-8). Calculate the greatest common divisor of p and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487132206?\nAnswer: 2, 7, 23, 113, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194755 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13710961 is divided by 452.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + 11a8?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197820 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:28 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhzzzhhh. What is prob of picking 1 z and 2 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 48*n - 891.\nAnswer: 3*(n - 11)*(n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 75*c**2 + 5*c - 52*c**2 - 5*c + 154*c**2.\nAnswer: 27*c**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/5 - 114144*i**2\/5 + 3080314*i\/5 + 1323444 = 0.\nAnswer: -2, 29, 57045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u + 404. Determine s(53).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60588?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4410\/1428)\/(-105))\/((-2)\/8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -35 + 10*u**2 - 16*u**2 + 18 + 7 + 38*u**2. Let x(w) = -w**2 + 1. Give -k(z) - 10*x(z).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 119473 + -4a0?\nAnswer: 118db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-1 - -1) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 5. Calculate l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - -2?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/204*(-1989)\/(-195)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45.8? (a) -2\/11 (b) 0.3 (c) -0.1 (d) 655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/675 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0274 - -805.9274. Let x = d - 807. Let k = 1.9 + -2. Which is the nearest to k? (a) x (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2096355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 10 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8*-3)\/(-10*759\/(-230)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/9, 0.0382, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*h + 231, 0 = -3*h + r - 5*r - 350. Let v = h - 181. Let t = -213 - v. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.9, 691, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5645?\nAnswer: 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1667\/115772 + -3\/412. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3*b, -4*b - 5*p - 4 + 0 = 0. Suppose 9*z - 200 = b*z. Let v = z - 12. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872610 is divided by 588?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/7 + 505759*p\/7.\nAnswer: p*(p + 505759)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -10211?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**3 - 4*r - 5*r**3 + 0*r**3 to the form g*r**2 + n*r**3 + s*r + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849782\/186 + (-10)\/155.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -12. Let z = 4 - l. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19138506?\nAnswer: 2, 3, 61, 52291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 943 and 9785511?\nAnswer: 9785511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.42 + 0.42. Let i = g + 19. Which is the third biggest value? (a) -4 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -5*t - 2*l - 639, -5*t + l - 395 = 0. Does 8 divide t\/(-12) + -8 + (-244)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/5 - 15622*m**2\/5 + 31251*m\/5 + 46872\/5 = 0.\nAnswer: -15624, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*n**3 + 740*n + n**2 + 746*n - 73*n**3 + 737*n - 2221*n in the form v*n**2 + s*n + d + b*n**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000356837 rounded to six dps?\nAnswer: -0.000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 2028519.9.\nAnswer: 2028519.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -269, -277, -307, -371, -481, -649?\n\"Answer: -2*c**3 + c**2 + 3*c - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-237)\/(-6)*(-5 - 46137\/(-9230)) and -101\/16?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -57*u**3 - 4*u**2 + 13*u + 15. Determine y(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -3.7\nAnswer: 62.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 128180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(398\/(-10348)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2118*g**5 - 9391*g - 2640*g**5 - 1229*g**5 + 322*g**5 wrt g.\nAnswer: -113300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 299 = 6*s - 14 + 51 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -a + 28, -4*u - 60 = -5*a. Suppose -3*q + a*q - 35 = 0. Let n(f) = -f**2 + 4*f + 24. Calculate the smallest common multiple of q and n(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 7:58 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + (-69)\/(-21). Suppose 0 = -3*z - 4*u - 5, 4*u + 19 = 2*z - 11. Solve 2*g = -z*w + 2, d*w - g = 4*w - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*(c\/(c**(4\/5)*c))\/c)**26\/((c**0)**(-29)\/(((c*c**(-1\/4)*c)\/c)\/((c\/(c\/c**(-4)))\/c))) assuming c is positive.\nAnswer: c**(-1423\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-156)\/(-140))\/((-6)\/(-17157)). Let z = -3190 + i. Find the common denominator of 87\/4 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1030*b - 13. Let o(k) = k + 1. Let x(c) = 3*o(c) - p(c). Let v be x(8). What is v rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1065010 (base 8) to base 14\nAnswer: 775d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1569489 divided by 67.\nAnswer: 1569489\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-8))\/(-10 - (-404)\/32)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/4))\/(r**(-4)*r))**(-7\/3) assuming r is positive.\nAnswer: r**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/5 - 4\/5*l**2 + 16\/5*l = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-18))*z*z*z)\/z**(2\/43))\/((z*z\/z**(-3))\/z)**7 assuming z is positive.\nAnswer: z**(-1851\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323545, 1294211, 2911995, 5176897, 8088917, 11648055?\nAnswer: 15854311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + -1 + sqrt(245) + -4)**2)*6.\nAnswer: -6030 + 882*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84188 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20111212110 (base 3) to base 5\nAnswer: 13100313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7*s = 3*s - 14, 0 = -3*q - 2*s - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlkllkylylyl. What is prob of picking 2 l and 2 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329025 = 24647*b + 4980*b + 8633*b - 3581125 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) 3\/8 (c) -0.0571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1192646962 - -1192646948.00000021. Let c = i + 14. Round c to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 3) to base 2.\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27619, -55209, -82779, -110323, -137835, -165309, -192739, -220119?\n\"Answer: w**3 + 4*w**2 - 27609*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-258)\/(-172))\/(1\/(4\/(-63)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 680028171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgjo when four letters picked without replacement from jrohrehoehegr.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 167. Solve 5*t + n + 0 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 663941997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 - 267. Suppose 2*i - l*b = -9*b + 19780000, 3*b - 9890000 = -i. Round i to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5876*m + 5877*m = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 456 (c) -23 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 2, e: 1}. Give prob of picking 1 e and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-16)\/(-12) - ((-66)\/(-13))\/(214\/321).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j - 1. Let h(a) = 4*a**2 - 3*a + 18. Let i(x) = -h(x) - t(x). Is i(-8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-18) + (-24344)\/(-144) is divided by 91?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.9. Let z = 1.47 - -0.53. What is the second smallest value in z, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 378, 636, 932, 1266?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - 1 - (6 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:36 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9618 + -6678. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1058.\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3*j - 2. Calculate f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10625*o**2 - 23328*o?\nAnswer: -21250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1205 (base 8) to base 4\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -0.13. What is the fourth smallest value in 0.5, 3, -3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(3*z - 4*z + 2*z) + 5*z - 3*z - 4*z + (2 + 0 - 3)*(2*z + 1 - 1) + 0 + 0 + z + 9*z - 16 + 16 - 5812 + 390*z + 5812 + 3434*z.\nAnswer: 3831*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 24*z - 145. Let i(o) = -4*o + 24. Give -34*i(t) - 6*m(t).\nAnswer: -8*t + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 46. Suppose -19*c + 17*c + 116 = r. Let m = 65 - c. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Let k = -0.2 + 1.2. Let g = 88 + -794\/9. What is the second biggest value in k, v, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1343, -2944, -4547, -6152?\n\"Answer: -v**2 - 1598*v + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.417 times 4?\nAnswer: 1.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(3\/37)*(m*((m\/m**(-4))\/m*m*m)\/m)**(3\/10) assuming m is positive.\nAnswer: m**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1894 divided by -4\nAnswer: 947\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 + 2*v**3 - 4 - 5*v + 2*v to the form u + i*v + f*v**3 + g*v**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 10 + m**3 + 13 - 4 - 1. Let k(c) = -7*c. Determine k(n(j)).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/6 - 61*z**2\/2 + 4825*z\/6 - 9867\/2 = 0. What is z?\nAnswer: -207, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*b + 1 = -4, 0 = -b + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1aa329 (base 11) to base 14\nAnswer: -85085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 42*s**2\/5 + 56*s\/5 - 264\/5.\nAnswer: -2*(s - 22)*(s - 2)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 3, m: 3}. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/7415 + -1149283\/311430. Let w = -17\/6 - a. Factor 0 + w*b**3 + 4\/7*b - 2\/7*b**4 + 10\/7*b**2 - 2\/7*b**5.\nAnswer: -2*b*(b - 2)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209987*a**3 - 253789*a**2 - 2 wrt a.\nAnswer: -1259922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 679\/(-2)*(1260\/(-49))\/3. Suppose 9*m - 3*m - y = 0. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-119))\/(-4)*(8\/4)\/(-4)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4*s - 154*n**3*s + 3081*n**2 - 50*n*s - 1373*s + 10 wrt n?\nAnswer: 12*n**2*s - 924*n*s + 6162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42828727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 1, r: 2, m: 4, y: 1}. Give prob of sequence vymr.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 18. Let o = j - 7. Let m = 283.3 - 283. What is the biggest value in o, -0.2, -1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2094 - 43982\/21. Calculate the common denominator of -17\/33 and b.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74676292 at most -74676294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 9. Let i be (-8)\/70 - (-4)\/(-14). Which is the third smallest value? (a) i (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 307*x**3 - 2*x + 3. Give k(1).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23a (base 13) to base 9\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/10*(-1900)\/(-57). Suppose -84*b = -x*b - 1180. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 12 = -31*j + 5*r, -64*j + 33*j - 200 = -28*j + 44*r for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -697, -1046?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*m**3*p**2 - 13*g*m**3*p - 2*g*m**3 + 22*g*p**4 - 4*m*p wrt p?\nAnswer: -6*g*m**3 + 264*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 12*q**2 - 11*q + 3. Let l be t(-11). Suppose d - 3*c - 12 = -0*c, -l*d = -4*c - 56. Calculate the greatest common factor of d and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:58 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2 - 9*p + 25\/2*p**2. Find the first derivative of o(m) wrt m.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 3, d: 3, c: 5}. What is prob of picking 1 i and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -ca (base 15) to base 8\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**4 - 14*f**3 - 38*f**2 + 14*f + 12. Let y(u) = u**4 + 5*u**3 + 13*u**2 - 5*u - 4. Let t(j) = 5*k(j) + 14*y(j). Factor t(w).\nAnswer: 4*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 2*q**2 + 9*q**3 - q**3 + 2*q**4 + 0*q**3 + 5*q**3 + 7 to b*q**2 + r*q**3 + n*q**4 + w + o*q and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 646 (base 13) to base 16\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -13. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03185963 rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 802*n**3 - 11*n**2 + 790*n**3 - 3*n + 4*n**2 - 2382*n**3 + 789*n**3 + 22. What is k(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50038.515 - 49839. Let f = u + 0.485. Let x = 199.999899 - f. Round x to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 1, -27, -10, -4, -3, 0.\nAnswer: -125, -27, -10, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4027*r**2 + r - 174255 wrt r.\nAnswer: -8054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102502 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**3 - 3*d**2\/2 - 3*d - 25. Let o(c) = -7*c**2 - 4*c - 4. Let i(v) = 3*o(v) - 4*w(v). Let j(s) = 6*s. What is i(j(n))?\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1346.\nAnswer: -3\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/6 - (-392)\/56\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -593, -858, -1089, -1274, -1401, -1458?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/2*(-20)\/2. Calculate the highest common factor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142851.104 rounded to the nearest 1000?\nAnswer: 143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193 + 189. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 113915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -17. Let o = y + -10. Solve -1 - o = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 310\/186*(-6)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + 46*s + 27. Let i be t(-6). Solve 0 = -3*w + 6 - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 - u + 12*u**2 - 5*u**2)*(88 - 55 + 197 - 852) to the form z + g*u + p*u**2 and give g.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -11) + -18 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*p + 0*p = -36, 4*p + 5 + 19 = 2*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15876604 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2224.0887 + 2224. Round l to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-36)*6)\/((-1)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 + 4895*o - 24350 = 0.\nAnswer: 5, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/2, 0.9, 2.7, -2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1034 - 2?\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 + -317. Let t be 11 - 4 - (1 - k\/1). Solve -4*i = -x - 3*x - 16, -x - 4 = -t*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 14*d**2 + 13*d + 2. Let t be v(13). Let o(m) be the first derivative of m**t + 1 - 2\/3*m**3 + 2\/5*m**5 + 0*m - 1\/2*m**4. Factor o(f).\nAnswer: 2*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 8, -r - 12 = 5*n + 8. Let s(k) = 5*k + 3 - 4 + r*k. Determine s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/((y**(2\/17)\/y)\/y))**(-32))**(2\/15) assuming y is positive.\nAnswer: y**(-2048\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 0 + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + o + 3, -4*m - 19 + 72 = 15*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k + 2. Let v(g) = 6*g + 2. Let p(u) = 2*o(u) - 2*v(u). Let w(c) be the third derivative of c**4\/8 + c**2. What is p(w(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*l + 20 = 0, 26 = 4*r - 3*l - 13. Suppose 0 = -3*a - 3*v + r + 42, 3*a = 5*v + 24. Let b(g) = -7*g. Let n(k) = 15*k. What is a*b(f) + 6*n(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-5))\/(5 + 97368\/(-19480)). Let z = -387 - t. Find the common denominator of z and 103\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 + 24*z**4 + 20*z**3 - 24*z**2 - 22*z = 0. Calculate z.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**36*g\/((g\/g**(-16))\/g*g)*g)\/(g**18)**(-7) assuming g is positive.\nAnswer: g**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*x + 6. Suppose 6*m = m + x. What is the smallest value in m, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m**2 + m + 10. Let i be c(5). Let h = i + 656. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2917404 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/9 - (-22)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5*a**6\/27 - 56*a**5\/45 - 5*a**4\/6 - 124. Find q, given that h(q) = 0.\nAnswer: -5, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2 + 114 + 5977*g**3 + 4613*g**3 - 7686*g**3 wrt g.\nAnswer: 17424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 8, 4 in descending order.\nAnswer: 8, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -1.2. Let d = -0.4 - g. Let x = d + -0.14. Round x to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 14 = 2*d. Let g be ((-83)\/d)\/((-6)\/12) - 2. Suppose -6*u = -63 - g. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20316 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11757 and 191010?\nAnswer: 748568190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 21*o + 11. Let h(y) = -7*y - 4. Suppose -4*x - 40 = 6*l - 4*l, -3*l + 28 = -5*x. Let s(d) = x*h(d) - 3*p(d). Does 7 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 1 - 1)*(-85 + 164 - 79 + 35*y).\nAnswer: 70*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -996.0961 - -189.2457. Let n = -0.1496 + k. Is 0.1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 + 0 + 5*y + y**3 + 3 + 3 - 4. Let i be ((-134)\/(-134))\/(2\/12 - 0). Calculate d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. List the prime factors of (-3 + p)*1*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/896*8*2\/(-5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from gwiqiiqiiiig.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5206420\/(-30626))\/(10\/(-1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1176, 4504, 13964, 27198, 44200, 64964, 89484, 117754?\nAnswer: 149768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 114 = 30*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + 3.08. Let r = 6.05 - 6.15. Let j = -6 + 10. What is the nearest to r in 0.5, j, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**4 - 2 + 14 - 2*s**3 - 13 + 3*s - s**3 + 12*s to the form x*s**2 + p + k*s**3 + m*s + d*s**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22677*c**6 + 278*c**2 - 6?\nAnswer: 2721240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/5))**42 assuming q is positive.\nAnswer: q**(294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let r(f) be the first derivative of -8\/3*f**3 + 0*f - 10 + 0*f**2. Give r(c(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1925.87 rounded to 0 decimal places?\nAnswer: -1926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14db9 (base 16) to base 9\nAnswer: 140165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 433, 435, 437, 439, 441?\n\"Answer: 2*m + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -199\/12?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -202222120?\nAnswer: 202222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - 2*p + 2*p)*(3 - 2 - 3) - 2*p + 3*p + p + (-1 + 1 + 2*p)*(-3 + 3 + 2))*(-4*p**2 - 3*p**3 + 4*p**2).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 7*j**4\/24 - 3*j**3\/2 + 58*j**2. Let t(z) = -2*z + 2. What is 9*t(g) + 2*y(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 472 - 94. What is the smallest value in 3, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/5*(-2)\/(-1)*60\/24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -798*n - 1939. Calculate i(-4).\nAnswer: 1253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3517 is divided by 273.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103117516*j**2 - 36*j + 541467.\nAnswer: 206235032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.683 + -0.183. Let w = -45 + z. Which is the third smallest value? (a) w (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 412?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25221947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j - 3. Let y be 1\/1 + j + -11. Let i = y - -5. Let p(m) = 2*m**2 - 5*m + 4. Let b(n) = -n**2 + n - 1. Calculate i*p(r) + 3*b(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12993?\nAnswer: 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201052 + 161*o - 201052.\nAnswer: 161*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3 + (-6)\/6. Suppose q*o = 10*o - 16. What is the tens digit of (-2886)\/(-143) + o\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2f93?\nAnswer: 2f90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -3*a + 0*a**4 + 0*a**2 + 2\/15*a**6 + 0*a**5 + 0 - 1\/6*a**3. What is the second derivative of q(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 1 - 4*q**2 + 5*q**2 + 14 - 13*q**3 - 3 to s*q**3 + x*q + z*q**2 + u and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 667 and 341533.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9480*f**2 + 11*f - 35831. Let d(o) = -1896*o**2 - 2*o + 7165. Let b(g) = 11*d(g) + 2*i(g). What is the first derivative of b(j) wrt j?\nAnswer: -3792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.023581 + 0.023581. Let n = 2 + 0. Let c = 57\/118 - -1\/59. What is the closest to 1\/2 in c, n, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = i, -2*o - 5*i - 7 = 8. Suppose o = -3*x + 2*x. Solve x = -4*p - 4*v, 2*v + 28 = 2*p + 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176610542309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4 + 344*b**3 - 10987*b**2 - 63410*b = 0.\nAnswer: -373, -5, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305838079 minus -0.5?\nAnswer: 305838079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(54\/16).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 108401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0*b**3 + 0 + 1\/12*b**4 - 1\/2*b**2 - 4*b. Let h(g) = 8*g**2 - 5. What is -h(n) + 5*y(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*((-3*f - f + 3*f)*(3 + 3 - 3) + (-3*f - f + 2*f)*(283 + 66 - 81)) to the form l*f + z and give l.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*n + 17 - 1, 3 = x - 3*n. Let z(g) = 2334*g**3 - 4670*g**3 + 2311*g**3. Let v(l) = -13*l**3. Calculate x*z(a) + 5*v(a).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4 = 2*d, -2 = -2*x + 4*x - 5*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*h - 98*h - 4*u = -9, 4*u - 15 = h + 2*u for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 56*d + 31. Calculate l(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n - 3*n + 13*n - 41 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 48*v**3 + 8*v**3 + 3.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -2244.3736?\nAnswer: 2245.3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 44, 69, 102, 149?\n\"Answer: t**3 - 5*t**2 + 31*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 1\/2*v**2 - 1\/4*v**4 + 1\/6*v**3 - 1\/20*v**5 + 29*v + 1. Let q = 3 + -5. Calculate l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 253 = -2*z, 304 = -25*b + 29*b + 4*z. Let f be 13\/((-2)\/(-68)*2). Suppose -f + b = -5*y. Solve -5*k = y - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3711 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 756, 662, 568, 474?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evyyebeeeencenyccecy. Give prob of sequence by.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*o + 177 + 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from mooeoooop.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -23*a + 9. Let u(k) = k - 1. Let v(t) = 10*t - 5. Let i(o) = -2*u(o) + v(o). Let q(j) = 17*i(j) + 6*w(j). Find the first derivative of q(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n - 50. Suppose -3 - n = -5*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2702.4 hours to nanoseconds.\nAnswer: 9728640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -15. Let b(m) = -m**3 - 6*m**2 + 1. Suppose 8 = -2*v, -5*z - 22 = -v - v. Let a be b(z). Solve 3*k = a + t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/5 + 4\/(-10). Suppose y - 22 = 2*x, -d*y + 92 = 3*x - 7*x. Let m = 30 - y. What is the lowest common multiple of 18 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3152, 4868, 6584, 8300, 10016?\n\"Answer: 1716*k + 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2735 is divided by 62.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, 7, -18114, 1 in decreasing order.\nAnswer: 7, 1, -2, -30, -18114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 7 (b) -0.1 (c) -4 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11339 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -128 and -382\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2}. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32243 (base 5) in base 10?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195\/30 - 2\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -107, 2\/65, 35 in decreasing order.\nAnswer: 35, 2\/65, -107, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 2. Let c be b(2). Suppose -4*r + r + 21 = c. Suppose r = -i + 54. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10049384 is divided by 3349788?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030644.92 rounded to the nearest 10000?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 384, 760, 1154, 1572, 2020, 2504, 3030?\n\"Answer: x**3 + 3*x**2 + 360*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 28*b + 640 = 0. Suppose 0 = -2*r + 2*l + 6, -r + b*l = 21*l - 1. Solve 6*j**r - j + 0 - j**5 - 37\/4*j**3 + 21\/4*j**4 = 0 for j.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (-1 + 2\/(-2)). Sort 5, f, -5, 4 in decreasing order.\nAnswer: 5, 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -13. Let y be ((-8)\/6 - -2)*v. Let m(x) = -x**3 + x - 1. Let k(h) = 2*h**3 + 4*h**2 - 6*h + 4. Let s(q) = y*m(q) - k(q). Factor s(u).\nAnswer: 2*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q + q)*(-q**4 + 6*q**4 - 3*q**4) - 11*q - 3 + 11*q - q**5 - 2*q**5 + 2*q**5 - 2*q**5.\nAnswer: q**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 5 (b) 4 (c) -2\/9 (d) -3\/37 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from usus?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 6. Suppose -2*i - r + 461 = -6*r, -3*i = 4*r - 703. Let t = 237 - i. Let c(j) = 8*j + 13. Give t*c(l) + 9*u(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 2 + -2)\/(-17 + 2394\/144)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:25 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 - -119. Solve -2 = t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-33) - (-8568)\/(-693)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (60 + -59 - -21)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-7)*1\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 81, 84, 47, -42, -195?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1768\/612 - 30\/(-27). Solve d + g + 9 = 0, d - 51 + 35 = b*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2395 * 0.04\nAnswer: -95.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnncnnnnnnnnnnnnnn. What is prob of picking 2 n and 1 c?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96052591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14087 is divided by 1165?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/16 + 26\/8. Suppose 3*u + 3*g - 60 = -9, -q*u = 5*g - 53. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*z, -266*q + 2*z - 4 = -263*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-376)*(-6)\/39\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-2 + 3 + 0))*-3. Suppose -4*u = 5*p - 253, 2*p - 7*p + b*u + 274 = 0. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-14))\/(1\/7). What is the third derivative of -6*z**6 - 3*z**2 + 8*z**o + z**5 - z**5 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*s + 713097 = -11002*s for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 20. Suppose -2 = -3*r + r, -n*u + 28 = 3*r. Suppose s - 42 = -w - s, -3*w - u*s = -121. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21102111 - 100320?\nAnswer: -21203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -505020331?\nAnswer: -505020332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:34 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 7*c + 8. Let a = 295 - 293. Let j be (-2)\/((-4)\/6) - -1. Suppose -j = a*f + 12. What is d(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrj when three letters picked without replacement from jrjjjrjjjjjjj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 8*o**2 - 7*o + 7. Let l be (2 - (-22)\/(-4))*2. Let y be j(l). Suppose n - 6 = y. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 9728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -894.20066 to one decimal place.\nAnswer: -894.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:48 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncw when three letters picked without replacement from {n: 2, c: 9, w: 1, i: 7}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 251. Let d = p + 1890. List the prime factors of d.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40176*d - 40189*d - 91 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2562948 (base 11) to base 8.\nAnswer: -20737732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32270 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17359, 17364, 17369?\nAnswer: 17374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 23*u**2 - 5*u. Let v(r) be the first derivative of 5*r**2 - 2193. Determine v(a(n)).\nAnswer: 230*n**2 - 50*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155289, 1242056, 4191845, 9936168, 19406537, 33534464, 53251461?\nAnswer: 79489040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z + 6. Let l(v) = -v**2 - 7*v - 6. Let d be l(z). Let x = -5958\/11 + 542. Is x at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.1 (c) -1\/5 (d) 4 (e) 0.11 (f) 0.44 (g) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270992171?\nAnswer: 3257, 83203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r + 1. Let f(n) be the third derivative of -2*n**5\/15 + n**4\/6 - 5*n**3\/6 - 147*n**2 + 2*n. What is -6*c(g) - f(g)?\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -8. Let g = -41 + 59. Let w = f + g. Which is the third smallest value? (a) -2\/7 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 504 = l, -3*l - 82 = -a - 1614. Find the third derivative of 498*q**2 + 8*q**6 - l*q**2 + 9*q**6 wrt q.\nAnswer: 2040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-15) - (-10)\/(-75). Let n be (-2 + 5 - d)*0. Suppose -2*r - 68 = -x, n = x + 5*r - 4*r - 65. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25242 is divided by 25134?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:13 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61389?\nAnswer: 3, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 103*t - 80. Let v(h) = 85*h - 80. Determine 5*u(p) - 6*v(p).\nAnswer: 5*p + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1868\/11 + -170. Let w = 0.18 + -0.05. Let t = 0.17 + w. Which is the third biggest value? (a) t (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940135932.\nAnswer: 2, 3, 26114887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 96 + 75)*(7*g + g - 4*g - g + 0*g + 0*g + (4 - g - 4)*(3 - 2 - 3) - g + 4*g - g + g - 5*g + 2*g) as d + b*g and give b.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j - 5*x - 20 = -27*j, 2*x = 3*j - 19. Let h = -15 + 13. Sort -32, j, h in ascending order.\nAnswer: -32, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-288356)\/6*6\/(-56). Let w = 5144 - r. Let o = -96\/25 - -751\/150. Calculate the common denominator of w and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 9, -5, -6 in increasing order.\nAnswer: -6, -5, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/(8\/3895) + (-99)\/132. Is h smaller than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Put -4, -1, m in decreasing order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 164 + 167 - 296. What is the remainder when 128 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*j**2 - 17593*j + 17593*j)*(3*j - 2*j + j)*(2 - 3 + 3)*(-2*j - 4*j + 5*j + (-1 - 4 + 3)*(2*j - 4*j + j)).\nAnswer: 652*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -91 (b) -11221 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 6. Let l(i) = -4*i + 18. Let k(t) = -6*l(t) + 17*m(t). Let x(j) = -3*j + 3. What is -2*k(a) - 5*x(a)?\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 348, -5, 2 in ascending order.\nAnswer: -5, -0.4, 2, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86.13 + 0.87. Let p = -87.031 + x. Round p to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87243640 divided by 5?\nAnswer: 17448728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 387*q**2 - 28*q + 5. Let j(c) = 383*c**2 - 32*c + 6. What is 6*j(p) - 7*x(p)?\nAnswer: -411*p**2 + 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**1\/q)*q**(-2\/5))\/(q\/q**0)**(-2\/89)*q\/(q**(1\/2)\/q)*(q\/(q**2\/q*q))\/q*q**(5\/4)\/(q\/((q**(-8)\/q)\/q)) assuming q is positive.\nAnswer: q**(-18917\/1780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 194364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -550 in -1, 28, -5, -0.1, 7, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 1, r: 1, s: 5}. What is prob of sequence jjhs?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 3368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*s - 17712 = 165*s - 98*s - 330*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 10*n - 30. Suppose 3*i + n*i - 40 = 0. Find the second derivative of u**5 + 5*u**5 - i*u + 17*u**5 wrt u.\nAnswer: 460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 661871?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2724 and 2607095.\nAnswer: 31285140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/11)*m*m*m*(m\/m**(2\/7))\/m)\/((((m\/(m**(-1\/2)\/m))\/m)\/m)\/(m**4*m)) assuming m is positive.\nAnswer: m**(1237\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196686 and 14518638.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s + 13. Let u(h) = 2*h + 2. Let j(z) = 3*k(z) - 15*u(z). Suppose -7 = -c - 1. Is 27 a factor of j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a**2 + 3*a**4 - a**4 + 8*a**2 + 27*a**2 wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((3 - 1)\/6)\/(75\/225). Let a(v) = -v - 1. Let i be (-4)\/(-6) + 4\/(-6). Let j be a(i). What is the closest to j in 7, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44353800 divided by -4\nAnswer: -11088450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -27*v + 5*v + 1 + 7*v + 12*v + 4*v. Let g(m) = 9*m + 8. Determine 6*d(f) - g(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 10. Let t = 25199\/3 + -8403. Is t >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/4 + 826935*g**4\/4 - 56985537909*g**3\/4 + 56964037677*g**2\/4 + 356159612400*g - 356154444075 = 0. Calculate g.\nAnswer: -5, 1, 5, 137822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/34 + 6588384392\/136 + 7 + -10. What is w rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (0 + 0) - 8) + 1167 + -1249?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 99\/21 + 4\/14. Suppose 0 = -w*g + g + 12. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-35*6\/84.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 286. Let z(a) = -19*a - 1117. Let u(m) = 9*b(m) + 2*z(m). Let h(y) = -2*y**2. What is u(h(q))?\nAnswer: 4*q**2 + 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*93*16\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-18 + 0)\/(13\/((-78)\/4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3777369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(425))*5)**2 - (sqrt(425) - (-4*1*sqrt(425) + sqrt(425)) - sqrt(425)) - 5*(sqrt(68) + 1*sqrt(68))*2.\nAnswer: 195*sqrt(17) + 10650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 361.\nAnswer: 72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let z = 6 - q. Let c(n) = -235*n - 4228. Let y be c(-18). Solve 0 = y*l - k - z, 4*l - k - 12 = 3*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(1\/7)*z))\/(z\/z**(2\/9)))**(-1)\/(z*z**(-2\/7)*z**(-5\/4)*(z\/(z*(z*(z\/(z*z**(1\/8)))\/z)\/z))\/z**(-5\/3)) assuming z is positive.\nAnswer: z**(-313\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 + 13 = z, 2*z - w + 9 = 0. What is the remainder when 51 is divided by z\/(-7) + 89\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1036\/(-20) + 3)\/((-14)\/350)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5053 and 36675.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*sqrt(720)*2 - (-3*sqrt(720)*-1 + sqrt(720))) + 4*(0 + sqrt(720)) + sqrt(720) + -4)**2.\nAnswer: 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -55 - 74. Let y = v + 41. Let f = 160 + y. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18. Let i(s) = 3. Let z(k) = 5*i(k) + w(k). Suppose l + 15 = -5*j, 26 = j - 4*j - 4*l. Let r(d) = d + 2. Give j*z(u) - 3*r(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*o*q**4 - 4*o*q**2 - 31*o - q**3 + 48 with respect to q.\nAnswer: 408*o*q**3 - 8*o*q - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*x**2 + 2762868*x - 2550384 = 0. What is x?\nAnswer: -53133, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c + 3*m + 38, -5*c = -2*m - 58. Suppose 6*u - 2*u - x - c = 0, u + 3*x = -10. What is the nearest to -0.7 in -4, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 210, 212, 214, 216, 218?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 280.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903 - f + 1772 - 878.\nAnswer: -f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/125 - 16\/1800*4041\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/200 - -1*(-2884)\/(-40). Suppose 298 = 5*k - q, -2*q = -k + 99 - 34. Let o = r - k. Calculate the greatest common divisor of o and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068+-865492\nAnswer: -865492.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**4 + 3*y**3 - 45*y + 61. Let v(k) = -k**4 + k**3 + 1. Let t(q) = -i(q) + 3*v(q). Differentiate t(o) wrt o.\nAnswer: 4*o**3 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(((-8100)\/8)\/75)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**3 + 27*r**3 + 40*r**3 - 155*r**3 + 43*r**3 + 30*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l - 40. Let h = 16 + -13. Let x be ((-81)\/1)\/(-3) + h. What is the greatest common factor of l and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = 3*z, -3*m = -4*z - 56 + 12. Let a(d) = -13*d - 32. Is 9 a factor of a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.015 (b) -2\/11 (c) 2\/391 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4 = 3*l - 9, -3*r = l - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408 rounded to the nearest 10?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -w + 4, 5*k - 9*k + 2*w = -12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*r - 27*r = -165*r - 228 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 - 9 - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + 1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 f when four letters picked without replacement from {s: 3, m: 1, f: 2, w: 13}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -4)*(-1 + 6). Suppose a + a - 3*o + 15 = 0, 0 = 3*a - 5*o + d. What is the common denominator of (-6)\/a*100\/11 and 51\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -3\/28, -0.06, -2, -19?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58317168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256*f*w**4 + 8*f*w**2 - 4*f*w - 2*f + 2*w + 9 wrt w?\nAnswer: -3072*f*w**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3392586 + 2301586. Round w to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 295. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21\/1292 - 20413\/1096908. Is 1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (168\/882*42\/52)\/((-6)\/(-27))\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17 + 11*d**6 + 16 + 21*d**2 - 33 wrt d?\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110010 + -100100110?\nAnswer: 11001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28079964 divided by 6166?\nAnswer: 4554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-18) - -1*1. Suppose 0 = 2*n - 7*n + 10. Suppose -t = -3 + n. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -2.54664\nAnswer: -122.23872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45263781 is divided by 2003?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3232, 3200, 3168?\n\"Answer: -32*b + 3264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10568*f - 211138. Determine g(20).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20)*b)\/b*b)\/(b**(-3\/8)\/b) assuming b is positive.\nAnswer: b**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Let t(m) = -16*m + 11 + 36*m - 11*m + 2*m**2. Let p be t(-6). Solve 0*i = u*i - q - 24, 0 = -5*i + q + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/3 + 15*b + 70\/3.\nAnswer: 5*(b + 2)*(b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 2, n: 4, w: 7, i: 6, o: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2*w**2 + 2757*v**2*w - 3*v**2 - 288007710*v*w**4 - 12*v*w - 3*w + 4 wrt w?\nAnswer: -2*v**2 - 3456092520*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -32. Let z = 5 - t. Solve 0 = z*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w. Let x(c) = -12*c**2 + 1. Give d(x(l)).\nAnswer: 144*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*(sqrt(304) + (sqrt(304) - (1 + sqrt(304)))) + sqrt(304) + -5 + 0)*1*3)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*s - 35*s = 348. Suppose 3*z - 4*t = -t + 87, -5*z - t + 121 = 0. Calculate the remainder when s is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/115 and -47\/7031?\nAnswer: 808565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-3))\/5 + 1. Let j = 16\/51 + 1\/51. Which is the fourth smallest value? (a) -1 (b) 0.11 (c) i (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 1\/120*a**6 - 8 + 1\/15*a**5 - 8*a**2 + a**3 - 11\/24*a**4 + 0*a. Factor c(h).\nAnswer: (h - 1)**2*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/16)\/(-1 + 27\/12).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 644*j - 30624 = -273*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**3 - 4*r**2 - 8*r + 8. Let c(k) = 4*k**3 + 5*k**2 + 7*k - 7. Let i(j) = -4*c(j) - 3*y(j). Is i(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 4*l + 2. Let y = 3148 + -3152. Let b(r) = -4*r**2 - 4*r - 2. Determine y*b(a) - 5*v(a).\nAnswer: a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - 13?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 327 - 327. Solve s = 3*v + 3, 5*l + v - 1 + 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/60 + 7*t**2 - 4. Let k(w) = 2*w**2 - 2*w. Let q(b) = 3*b**2 - 5*b. Let o(a) = 5*k(a) - 2*q(a). Give -5*h(n) + o(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 450 = -52*l. Solve -l*n = 160 - 10 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 152*d**2 + 339*d - 28466. Give y(153).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + 0.35. What is the third biggest value in -1\/8, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/1 + 37288\/3540)\/((-12)\/10)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 89, 337, 821, 1619, 2809, 4469, 6677?\nAnswer: 9511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -18. Is 5 a factor of 25 - u\/(3 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68\/253 + -2\/23. Let z = 201 - 202. What is the nearest to 1 in 2\/9, z, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 1. Let w(a) = -5*a - 2. Let v(t) = -7*q(t) + 3*w(t). Let k = 4 + -8. What is v(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88063 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 887 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 431 divided by -44\nAnswer: -431\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 2*b**2. Let v be r(1). Solve g = -4 - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/7 + 66*t**3\/7 + 18*t**2 + 62*t\/7.\nAnswer: 2*t*(t + 1)**2*(t + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00204 weeks in hours?\nAnswer: 168.34272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 8\/43?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7376*x + 191091. Determine f(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:06 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 2549?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 smaller than 227\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/1293 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 - 48*i + 9. Calculate the least common multiple of x(-8) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**7\/840 + z**6\/180 + 8*z**3\/3 - 9. Let p(i) be the third derivative of a(i). Does 4 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 6. Suppose z - 4*h = -32, -4*z + 3*h - 72 = h. Let c = -14 - z. Solve -6*p + c*d = -b*p + 4, d = 4*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8543925 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -58. Let v = -670 - -674. Let j = -3.97 - -4. What is the closest to b in v, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*l*t*y + 4*l*t + 212*l*y**2 + 589*t*y**2 - 2*t*y + 76*t wrt y.\nAnswer: 424*l + 1178*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*v - 104*v = 1562925. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 1 + 2*f + 5*f + (-33 + 30 - 61)*(57 - 7*f - 56 + 6*f) to s + n*f and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -960694874 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7815*i**3 + 10*i**2 - 2*i - 585 wrt i?\nAnswer: 46890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-2\/7))*t*t**(-5\/4)*((t\/(t*t**(-4)*t))\/t)\/((t*t**(1\/6)*t*t*t*t)\/t)*(t**(-3\/2)*t**(1\/3)\/t)**(-47) assuming t is positive.\nAnswer: t**(8327\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.1 + 0.1. Let l = b - -10.00000029. Round l to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0 - 7*m**2 - 7\/12*m**4 + 1\/20*m**5 - 3*m - 2\/3*m**3. Let x be h(8). What is the highest common divisor of 45 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + -12 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-4) - 9)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((h + 4*h - 3*h)*(3 - 4 + 0) + 0 + 0 - 2*h)*(2 + 3 - 6) as w + j*h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -2, -4\/53, -29.\nAnswer: -29, -6, -2, -4\/53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -420, -623, -826, -1029?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 13 - 1635 = n, 3*q - 8131 = 5*n. Is -1628 not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 462225, 462237, 462249?\n\"Answer: 12*y + 462213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b. Suppose -4*i = 3*s - 47, b*i - 5 = -i. Calculate the remainder when 24 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 137*a + 2. Let s(t) = 137*t + 1. Let l(g) = 6*k(g) - 7*s(g). Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20833327 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*m - 2*u - 3*u, u + 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1105122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 48, 82, 122, 168?\n\"Answer: 3*y**2 + 19*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:43 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.5 minus -6?\nAnswer: -221.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*t - 74*t + 969 = -139 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 6*t - 2. Let q be o(6). Let z = q - 27. Solve 1 - z = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -530.33952 to one decimal place.\nAnswer: -530.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((((f\/(f**8*f))\/f)\/f)\/f))\/f*f**(-3\/10)*f*(f*f\/(f*f**(-7\/5)\/f*f)*f)\/(f**(-1\/17)*f*f))**35)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -g - 12 + 3, 3*g + 1780*d - 881*d = 897*d + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -4, -1, 5, -20 in decreasing order.\nAnswer: 7, 5, 1, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 183051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.704 times 2774?\nAnswer: 10274.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/40*(26\/8 - 2). Suppose 2*m = -2*m. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**7)\/j)\/(j\/(j*j**(-1\/4))))**(-8\/9)\/((j**(-2))**29)**(-2\/17) assuming j is positive.\nAnswer: j**(-218\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (34\/(-29) - -1)*-20. Let n = s + 460\/203. Factor n*m + 3\/7*m**2 + 12\/7.\nAnswer: 3*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 3*r**2 - r - 1. Let v be z(4). Let o be 10\/55 + 9\/v. What is the smallest value in 5, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1589\/76 + 402\/19. Which is greater: v or 0.399?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 2*a**2 + 3*a - 3. Let x be w(2). Let v(j) = -j**3 - 5*j**2 - 2*j - 3. Let l be v(x). Suppose -l + 1 = -3*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 26. Let x = -18 - q. Is 6\/11 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 0.22. Let c = k - 0.069. Round c to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56933888 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 288500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162) + -4 + sqrt(162) + (1 + sqrt(162))*-2)**2.\nAnswer: 324*sqrt(2) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 330 = -0*k. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411478 = 6343*t - 16666*t - 496946 for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*x = -146119, a = x + 47678 - 11146. Does 87 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*-3*(-3*sqrt(300) + sqrt(3) + sqrt(768)))**2.\nAnswer: 1404*sqrt(3) + 164277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnpv when four letters picked without replacement from {n: 4, c: 3, p: 5, v: 7}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - -4. Calculate the remainder when 118 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -889.9 - -890.07324. What is p rounded to 3 dps?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010120010022101 + -1?\nAnswer: -1010120010022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2817938*x**4\/3 + 5631128*x**3\/3 + 936148*x**2 - 4744*x\/3 + 2\/3 = 0.\nAnswer: -1, 1\/1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28033420 + 5*i + 28033420.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + 9 + -13 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35386 times 0.4\nAnswer: 14154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1274*b**3 - 68*b**2 - 39*b + 5. Let r(o) = 636*o**3 - 36*o**2 - 19*o + 2. Let h(x) = 5*r(x) - 2*u(x). Find the third derivative of h(c) wrt c.\nAnswer: 3792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -19, 2, 43, 110, 209?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-78)\/(-21))\/(-13))\/(3\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 + 8920*j**4 - 17875*j**3 - 26770*j**2 + 35740*j + 35720 = 0. Calculate j.\nAnswer: -1786, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163, 1164, 1165, 1166?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 358*b - 1. Let c(k) be the third derivative of -k**4\/24 + k**2 + 34*k + 14. Calculate u(c(n)).\nAnswer: -358*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485035128 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1673225 - -0.3868.\nAnswer: -1673224.6132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 94, 195, 340, 535, 786?\n\"Answer: y**3 + 13*y**2 + 17*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*b + c + 5, -b = 4*c + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1577 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 12. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1\/2*a**2 - 2 + 0*a = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -4\/21*n**3 + 1\/70*n**5 - 9*n**2 + 0*n**4 + 0*n + 1\/420*n**6 + 0. Suppose x(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 5 - 10) + (-21)\/(84\/160). Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531242 (base 6) in base 7?\nAnswer: 236414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -628 + 391. Let c = 412 + l. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (2 - 2 - 0). What is the derivative of -2 - 4*d + 4*d - g*d**2 - 2 wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 2, -2, 1213 in decreasing order.\nAnswer: 1213, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i = 4840 - 29860. What is the remainder when i is divided by 137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:54 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10220 - -3023011122?\nAnswer: 3023022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1 - c**2 - 7 - 8*c + 0*c**2. Suppose 0 = -128*y + 150*y + 132. What is i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*w - 7*w. Suppose -w*m**2 - 6*m - 153 + 103 + 61*m = 0. What is m?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -332 - -346. Suppose 3*i - s*m - 2107 = -13*m, 5*i = -m + 3517. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 14 + 14)*(1 - 1062*q + 2131*q - 1057*q).\nAnswer: -60*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i. Let q be 26\/3*(-15)\/(-10). Let f(s) be the first derivative of 13*s + s**2 - 2 - q*s. Give f(z(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -2*p - 3*a + 1507, -1370 = -2*p + 2*a. Let n = -686 + p. Solve 3*o - 3 + n = -4*z, -2*z = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.3168.\nAnswer: -0.39504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -3902926\/17 and -229585 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 132.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v**2 - 8*v + 7. Suppose 5*u - 2*j = 30, 0 = 2*j + 2*j. Let w be 106\/12 - 4 - (-1)\/u. Give k(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2551\/6 - -787\/2. Let m = x + 31. Which is the third smallest value? (a) m (b) -6 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.52 + -15.8. Let r = g - 3.2. Let d = r - -0.4. What is d rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 43034057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36680340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrvrrr. Give prob of sequence rr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000200 (base 5) in base 9?\nAnswer: 23446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-78)\/(-21) - 2)*14. Let l = f + -28. Let s(m) = m**3 + 8*m**2 + 6*m + 3. What are the prime factors of s(l)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 - i + 9. Let k be v(-3). Suppose 0 = k*d + 2 - 5. What is the smallest common multiple of (0 - 2)\/((-2)\/11) and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 12, -7, -36, -75?\n\"Answer: -5*v**2 + 6*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 166444?\nAnswer: 1830884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 9*l - l + (-1 + 0 - 1)*(l + 0*l - 3*l) + 1 - 1 - l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32191*c - 32193*c - 20 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/145 (b) -3\/4 (c) -2\/13 (d) -38 (e) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46890*c + 46890*c - 2370*c**2 - 6*c**4 + 89*c**3 wrt c.\nAnswer: -144*c + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**3 + 107*m**3 + 2*m**3.\nAnswer: 128*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - (-19 - -9))*(-2 - 3699) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1192 and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 13) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 - 320*z**2 - 42260*z - 83200 = 0.\nAnswer: -64, -2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 1, q: 1, k: 5, y: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -2*l**3\/3 - 5*l**2\/2 - 16*l - 7592. Calculate w(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 2*q**2 - 15 - 55*q - 23*q + 86*q - 9*q + q**2.\nAnswer: -q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 11*q, 0 = -3*k + q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-918)\/(-510)*((-28)\/35)\/((-5 - -5) + -2)?\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-6) + 1\/(-3). What is the units digit of k\/(-9) - 202\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86501 is divided by 86499.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530721?\nAnswer: 3, 109, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + (-20 - -71 - 7)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - -3*1*sqrt(931) - (sqrt(931) + (sqrt(931) - (-1 + sqrt(931))))*5) + 4 + -4*sqrt(931) + -3)**2*1*-5.\nAnswer: -116455 - 1400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + (-79 - -28) - -11) + -1 + 13 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**4\/4 + 7*a**3\/3 - a**2 + 4*a - 76596. Let v = -8 + 15. Calculate s(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let h = -848 - -850. Let p(r) be the third derivative of 3*r**h + 0*r - 9\/20*r**5 + 0*r**4 + 0 + 0*r**3. Calculate p(j(i)).\nAnswer: -108*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 16) + -1 + 2 - (759 - 709)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0103504973 rounded to 5 dps?\nAnswer: 0.01035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 3*m**5\/5 + 9*m**4\/4 - 9*m**3 + 15*m**2\/2 - 9. Determine y so that x(y) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7178*u**2. Let s(l) = l**2. Determine t(s(v)).\nAnswer: -7178*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180431 is divided by 309?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 18 (c) 30 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-1 - 3\/2). Let o be -1 - (-2 - -3)*2. What is the third smallest value in 0, o, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0 - 3 + 661*p + 657*p - 1320*p. Give v(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 130*g. Let d(z) = -55*z + 3*z**2 + 5*z**2 + 55*z + 0*z**2. Determine d(y(q)).\nAnswer: 135200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/36*5\/(35\/812)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1778 - 1757. Which is bigger: u or 133\/6?\nAnswer: 133\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523409 is divided by 407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 13. Suppose 0 = -6*p + 4*p + 4. Let a = w - p. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -48, -32, 22, 126, 292?\n\"Answer: 2*o**3 + o**2 - 27*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73\/71 or 2\/131?\nAnswer: 73\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -76*o**2 + 1013*o + 42856. Give w(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 12*k**2 + 84*k - 96 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2034*a + 984*a + 90724 = 1402*a for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 51*v + 27. What is k(51)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 14.9. What is the closest to n in 3\/2, -4, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:14 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/2, -2, -11\/2, 5\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.62 * -4.\nAnswer: -70.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(-2)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310102 (base 4) in base 10?\nAnswer: 19730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 0*v - 2*v. Let g(t) = 2*t. Calculate g(b(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139115?\nAnswer: 5, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 6*d**2 - 6*d + 7. Let r(f) = -2*f**3 - f**2 + 6 + f**3 - 5*f + 6*f**2. Let m = -23 + 18. Let s = 16 - 10. Give m*u(i) + s*r(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7276756 - 58290009\/8. Let i = g - -9507. Find the common denominator of i and -145\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 43, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -13, -0.3, -1\/6, -1\/3, 0.15, 1.11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/80*8\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a - 111. Let y be j(-14). Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -29. Let l = -13 - v. Let t(n) = 8*n - 6. Is 12 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 479, 472?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 10 = 4*o - 3*o, 0 = 5*o + 4*d - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5298749 is divided by 91.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f. Let u be k(-1). Let p be (-12)\/(-9)*9\/u. Let o = p + 8. Solve 2*a - 4*a = o*g + 4, 2*a + 10 = -5*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.81 + -52. Let x = -3.318 - q. What is x rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*(10\/16)\/(2565\/2052).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1374 + 1383. Is 6.1 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -5*u + 81 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 5*a - 3. Let v(h) = -h**2 + 13*h + 19. Let d be v(14). Give x(d).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-4)\/((-8)\/(-6)). Sort u, 1\/3, -2, -0.5 in increasing order.\nAnswer: u, -2, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.478 + 0.478. What is the closest to -1 in m, 2, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 8*s**5\/9 - 26*s**4\/9 + 14*s**3\/9 + 22*s**2\/9 - 22*s\/9 + 4\/9 = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 80 = 2*i. Let a(j) = -3*j + 7*j**2 - 7 - j**3 + 6*j - 7*j. Let g be a(6). Solve 0 = -4*h - i, 5*y - g*h = -0*h + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -0.2, 63, 5, -1.1 in increasing order.\nAnswer: -108, -1.1, -0.2, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 91*a**2 + 77*a + 14. Suppose -5*b + 161 = -224. Let f(s) = 7*s**2 + 6*s + 1. Let o(g) = b*f(g) - 6*j(g). Differentiate o(i) wrt i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -587, -1\/6, 1905 in ascending order.\nAnswer: -587, -1\/6, 1905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 77*c**2. Let d(w) = 107 - 27 - 34 - 47 + 6*w. What is r(d(f))?\nAnswer: 2772*f**2 - 924*f + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*y - 6528, -5*u - 9800 = -1326*y + 1323*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (55 - 44) - 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233 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: Suppose -1361 = -4*n + 275. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*k - 5, 0 = -p - 4*k + 9. Suppose 0 = 16*i - p*i - 2772. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57892685, -4, 5 in decreasing order.\nAnswer: 57892685, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 4*k = 2*d + 30, -4*d - 4*k = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b0 + 2?\nAnswer: -4ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 38594*l - 2423484 = 0. What is l?\nAnswer: -19234, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 73. Let h = -38 - g. Solve -6*l - h = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let n = 9 - 6. Let m = v - n. Solve 2*w + 4 = 0, m*x + 8 = -w - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 6, 3, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*n + 27*n + 22*n + 179*n + 17*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8928*x + 4378 wrt x.\nAnswer: -8928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 - 83.58. Let x = -134.5 - -46.6. Let p = x - w. What is p rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-0.197\nAnswer: -0.00394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = 4*q - 3, 0 = q - c - 2. Suppose 0 = q*j + 60 - 80. Suppose -j*a - 2*z + 620 = 0, -7*z - 20 = -3*z. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-60))\/(15\/(-40)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -82, -2, -0.08, -3\/11 in ascending order.\nAnswer: -82, -4, -2, -3\/11, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 93. Let p be z(11). Let a be (-1)\/(-2) + 3\/2. Suppose -2*x - a*x = -p. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 28*d**2 - 14*d - 5. Let w(t) = -14*t**2 + 8*t + 3. Determine -3*j(a) - 5*w(a).\nAnswer: -14*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 105.192?\nAnswer: -97.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 0)*(2 + 10 + -9). Let y = 0.05 + 0.25. Let s = y + -0.4. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s + 1. Let d be j(1). Let v be 1\/3 - 8\/d. Suppose v*m**3 - 2*m**2 - m**3 - 4*m**2 + 4*m = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9037314 to the nearest integer?\nAnswer: 3006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17 - 4 - 9 - 8. Let h(g) = -g - 6. Calculate 4*h(p) - 6*j(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 394a?\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 722*b**5 + 199880*b**4 + 12803354*b**3 - 141908404*b**2 + 468612800*b - 475240000 = 0.\nAnswer: -2725\/19, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -4, 3\/5, 43, 6\/7, 0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxqu. Give prob of picking 1 u, 2 j, and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:57 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 36*q**2 + 14*q + 7. Determine w(-18).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-4\/9)*(m\/(m\/(m*m**(-7))))\/m*m**(-2\/3)\/m**(3\/7) assuming m is positive.\nAnswer: m**(-475\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/243295 and -79\/107562?\nAnswer: 10218390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 50213?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1120 - 3?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99968689.00000084 + -99968703. Let c = -14 - n. What is c rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5177 minus 13453696?\nAnswer: -13453697.5177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -210*j**2 + 843*j - 17. Give b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 25*h + 3565. What is the remainder when d(-29) is divided by 285?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(3*d + 0*d - 2*d)*(-3*d + 0*d + 6*d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -1, -1\/5, -4.9, -0.15, 5 in ascending order.\nAnswer: -40, -4.9, -1, -1\/5, -0.15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l*l*l**(-31)*l*l*l)\/(l\/(l*l**(2\/131)))**(-3\/26) assuming l is positive.\nAnswer: l**(-40875\/1703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -18. Suppose 2*w = -2*w + s. Let f = 11 - w. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 910290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 270019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203308323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -537*a**2 + 36*a - 521*a**2 + 39*a - 75*a as l + o*a**2 + z*a and give o.\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {q: 3, m: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + -311. Let z = r - -362. Suppose -h + 5*h = 5*y - 92, -5*y = 3*h - 106. Calculate the least common multiple of z and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233, 2, -2, -1 in descending order.\nAnswer: 2, -1, -2, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(2 + (4 + sqrt(52)\/sqrt(4) - ((sqrt(13) - sqrt(13)*2) + 5)) + 4)*2 + -2)**2.\nAnswer: 2080*sqrt(13) + 7904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**4\/4 + 3*d**3\/2 + 2*d**2. Let f be p(-6). What are the prime factors of (-465)\/f + (-2)\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**6\/40 - 51*f**5\/80 + 7*f**4\/2 + 17*f**3\/2 - 90*f**2 + f - 2293. Solve y(i) = 0 for i.\nAnswer: -2, 2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*v**3 + 82*v**3 + 92*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111035*z**2 + 26*z - 26*z - 111034*z**2 - 554 to the form w*z + y + r*z**2 and give y.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2, -31, 5476 in ascending order.\nAnswer: -31, -2, 2, 5, 5476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(1\/(18\/(-81))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10\/11 (b) 5 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 6) in base 8?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y - 36 - 441*y**2 + 255 + 445*y**2 in the form w*y**2 + n*y + c and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 47 - (5 + -24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/20 + c**4\/4 - c**3\/2 - 5*c**2. Factor s(b).\nAnswer: -3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a - 10*a + 23*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21, -123, 336.\nAnswer: -123, 0, 21, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6280*h + 201. Let m be t(-4). What is the second derivative of -25321*a**4 + m*a**4 + 189*a - 2*a**5 + 17*a - 34*a**3 wrt a?\nAnswer: -40*a**3 - 204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47.7825kg?\nAnswer: 47782500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*-2*4 - sqrt(88)) + sqrt(88) + (-1*sqrt(88) + sqrt(88) + sqrt(88))*6)\/(1*sqrt(24)\/sqrt(3)*3).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u + 2. Let x be a(0). Suppose m - 3*m = -3*m. Find the first derivative of 3 - 10*f**x + 4*f**2 + m wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let o = 677\/18 - 75\/2. Let p be ((-51)\/18 + 3)*2. What is the closest to p in o, 2, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -117, 13, -3\/2, 4, 0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11. Let s(c) = -7. Let g(p) = 5*j(p) - 8*s(p). Let n(w) = w + 2. Suppose -4*x = 5*y - 14, -343*y + 346*y - 3 = 3*x. Give y*n(f) - 6*g(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114736 is divided by 114718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 118039217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -56. Put -23, 3, a in increasing order.\nAnswer: -23, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145914, 146066, 146218, 146370?\n\"Answer: 152*v + 145762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + y + 4 = -x, -4*y - 12 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -146, -219?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-2) + (1373 - -2 - 6). What is the greatest common divisor of r and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -41*c + 18258. List the prime factors of c.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g - 3 - 38*g + 95*g - 38*g.\nAnswer: -21*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f - 967*f + 880*f + 147*f**2.\nAnswer: 147*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltgd when four letters picked without replacement from lggllgglggdmtlxd.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 3 - 2\/4*-4. Solve b + b = r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 10*l + 5. Let b be d(-9). Let t be (-1)\/2*(b + 4). Suppose -w = -t*w - 14. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84852 + 85146 - 169998 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 23980 = -23920 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-960)*-16*(-1)\/(2\/(-1))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/209296 and 17\/144.\nAnswer: 1883664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4813386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t**3\/5 + 784*t**2\/5 + 456*t - 288\/5 = 0 for t.\nAnswer: -6, 4\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3) + 4 + -20. Let h = u + 16. Is 134020\/120 - h\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4648, -2896, -1144, 608, 2360, 4112?\n\"Answer: 1752*f - 6400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuhuuhh. What is prob of picking 3 h?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 2. Suppose 3*g - 6 = 5*g. Let p(i) = -i**2 - i + 3. Let r be p(g). Determine d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1700)*-1.\nAnswer: -10*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7781 - -24582. List the prime factors of a.\nAnswer: 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 20*b + 17*b - 3*b**2)*(-13 - 6*b + 13)*(1 - 4 + 5).\nAnswer: 24*b**3 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1812*a + 709*a + 127850 = 1298*a + 156*a for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:44 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21212021 (base 3) to base 15\nAnswer: 1a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22824 and 15216?\nAnswer: 45648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(72)*-1)\/sqrt(4))\/sqrt(6)*-6 + 1.\nAnswer: -12*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*2 - 1*sqrt(33)\/sqrt(3))*3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 258681703.\nAnswer: -258681710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 519144492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 7*y - 84. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/5 + 6*b**2 + 192*b\/5 + 96. Let o(r) = 0. What is r?\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - 3\/1)\/1. Let w(v) = 21*v - 5. Let j be w(b). Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a - 21*a**2 - 104*a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79c1a8 + 1b6?\nAnswer: -79bcc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 30999.\nAnswer: -74\/30999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (-8)\/18*3 + 1088\/6. Solve -p = -196*j + 221*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:11 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -65*u - 3. Let y(l) = -64*l - 2. Determine -3*t(x) + 2*y(x).\nAnswer: 67*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/5)\/n)\/n**2)\/(((n**(2\/13)*n)\/n)\/n**2)*(n\/(n*n\/n**(-6)*n))\/(n\/(n*n\/(n\/((n*n**(1\/5)*n*n)\/n)*n)))*(n\/(n**2\/n))\/n**3 assuming n is positive.\nAnswer: n**(-699\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9088 and 7.\nAnswer: 63616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 3*m**3 + 5*m**2\/2 + 9. Find the second derivative of y(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/140*7*5\/3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5 + 4 = l, 3*u - 12 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 500303963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(84\/(-35))*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 5. Let j = 4 + 1. Let i = j - 1. What is the units digit of r(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1037 + -646. Let u = -395 + v. What is the smallest value in 0.5, u, 32?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + 87. Let j = w + 181. Suppose 3*a - j = -13. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -34167 + 9127*h + 34165 - 616*h in the form b*h + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 76 = 6*k - 8*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 12*a**2 + 14*a - 155. What is the remainder when 176 is divided by i(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515 divided by -303?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 421.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238770 is divided by 1206?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itrumrumrtuvutmmuum. Give prob of picking 1 v and 1 t.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1279, 1277, 1281, 1297, 1331?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*v - 131, -3*v = 679 - 437 - 323 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 195444.\nAnswer: 3322548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -68105 + -28.3788\nAnswer: -68133.3788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 - 4*b**5 - 4*b**5)*(-158 - 131 - 13)*(0 + 2 - 4).\nAnswer: -3624*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5 - 5, -d + 3*g + 24 = 0. Suppose 0 = 4*b - d*b + 20, 0 = -q - 5*b - 122. Let y be 2\/4 - q\/4. Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 21569426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 - 6*h + 2. List the prime factors of g(4).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-7))\/((-15)\/7). Let q = -1017 + 1019. Suppose s - 1 + 4 = 2*h, -5*s - 15 = -q*h. Which is the fourth smallest value? (a) s (b) -4 (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1112 + 1168. Calculate the remainder when 330 is divided by n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 96 = -8*q, -164*q + 2*a = -162*q + 14 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.292448ug in kilograms?\nAnswer: 0.000000006292448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985 = 2*c + 5*l - 1959 + 1124, 0 = 5*c + 5*l + 135 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 1571*b - 44478. Give y(-29).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 721*h**2 - 721*h**2 + 4*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3))**(-8\/7))**(-21\/8))**(-2\/11) assuming d is positive.\nAnswer: d**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x + 1. Let o(h) = -9*h - 3. Let f(z) = 6*o(z) + 13*r(z). Is f(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 446656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238.13 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*i + 36*i + 602 + 15*i - 2*i + 2*i - i + 2*i + 4*i - 3*i + (2*i - i + 0*i)*(2 + 2 - 2) in the form s*i + v and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.73 - 0.987. Let f = z + 0.1506. Round f to 3 decimal places.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0886478702 from -1.\nAnswer: -0.9113521298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205.7 + -186. Let y = v - 20. Let m = -0.5 - 2.5. What is the closest to 0 in -2\/7, y, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*a. Suppose 2*n + 3*p - 12 = a, 0 = -4*n - 0*n + 5*p + 2. Suppose -n*i - 2 = -11. Solve -5*z + 4*s = 0, 3*z + 37 = i*s - 8*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-39)*(24115\/(-70))\/(-53)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b - 13 + 24 + 33 + 9*b to i*b + y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 28*z**2 + 4*z + 10. Let i be a(-2). Let j = 162 - i. Let t(w) = w**2 - 2*w + 5. What is the remainder when j is divided by t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -3*g**5\/40 - 3*g**4\/4 - 9*g**3\/4 - 3*g**2 - 21*g. Factor f(h).\nAnswer: -3*(h + 1)**2*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 71*v**2 - 24*v - 8. Determine l(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -540 + 544. Let w(a) be the first derivative of 9 + 0*a + 2*a**2 - a**x + 4\/3*a**3 - 4\/5*a**5. Let w(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2508 divided by -3.\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h)*(-h + 0*h + 2*h)*(2*h + 0*h + 2*h)*(-20*h - 181 + 181).\nAnswer: 160*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 2*y - 2. Let n be d(1). Suppose n = -5*f + 12. Let l = 4 + 1. Solve 0 = -f*a + l - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 11, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25701 greater than -25681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 3.\nAnswer: -14, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-2\/13))*n**(-31)*n\/((n\/(n*n\/n**(-21)))\/n)*n**(3\/7)\/n assuming n is positive.\nAnswer: n**(-675\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-25))\/(2\/(-10)). Let 0 - 4\/3*g**4 + 4*g**5 - 3*g**n - 1\/3*g + 2*g**2 = 0. What is g?\nAnswer: -1, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -16. Suppose 0 = 5*w - v*w - 4*h - 22597211, -4519447 = -w + 2*h. Let p = w - -1280561. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/20 - (-18)\/(-1080)*-42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) -1\/8 (b) 3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 9\/8)*1. Let m = t - 5\/8. Are 0 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2 + 2)*(7*t - 2*t - 3*t + (t - 4 + 4)*(4 - 6 + 3) - t + 5*t - 6*t)*(-3*t + t + 3*t)*(10 - 10 + 5*t).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2086*r**4 + 84*r**3 + 16063*r**2 + 57.\nAnswer: 50064*r + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s - 892*s**2 - s + 21*s.\nAnswer: -892*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*25\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1291735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/330*(8 + -3)*(-55)\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 64. Suppose -67 = -d*s + 1049. Is 31 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 4 + -11 + -6 + 9 + -7.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6832 - -6841. Solve -o - c*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let q be (12 + 15\/(-5))\/1. Let d(z) = q*z - 12*z - z. Calculate d(r(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/38 + 25\/76. Let s = -9 + 6. Let m = -15250 - -15248.7. Sort s, -3\/7, z, m.\nAnswer: s, m, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 165, 167, 169?\n\"Answer: 2*w + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 303247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*g - 1)*(-2*g - 4*g + 5*g) + (-6 - 8*g + 6 + (-1 + 3 - 4)*(0 - g + 0))*((2*g - 3 + 3)*(4 - 1 - 2) - 5 + 5 + 2*g).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/98124442 and -5\/2886013.\nAnswer: 98124442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -381553 + 1850389\/5. Let n = -11554 - x. Let a = n + 77. Does 0.1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153670 is divided by 203?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 558?\nAnswer: -55c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3009, -0.2, 608?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 - 7 = 0. Calculate the smallest common multiple of 24 and 3\/(((-2)\/(-20))\/(d\/(-14))).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40260 - 40257 + 3*o**3 + 80517.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/185*(-110)\/8)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -13, -4, 3 in descending order.\nAnswer: 3, -4, -13, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u + 3*d - 1, 62 = 6*u - 4*d. Let l(a) = 33*a**2 - 7*a - 4. Let y(o) = -50*o**2 + 11*o + 6. Determine u*y(i) + 8*l(i).\nAnswer: 14*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 8) + -3 + 0 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**5 - 3 + 0*z**2 - 20\/3*z**3 + 0*z + 5*z**4. Suppose x(f) = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + -147.701. Let h = -0.044 + d. Let f = h - 0.025. Round f to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1\/2*z**2 - 1\/2*z**3 + 0 + 2*z. Let x(f) = -f - 9. Let p be x(-7). Determine i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290905 and 11858?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**4 + 0 + 0*h**6 + 1\/12*h**5 + 0*h**3 + 0*h + 2\/105*h**7 + 4*h**2. What is the third derivative of u(i) wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1532.569274 - 1642.4304538. Let m = o - -3175. Round m to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(3\/13)\/b)*b**(1\/14)*b*b\/(b*b**(-1\/12)*b)*b*b*b**(-11\/4) assuming b is positive.\nAnswer: b**(641\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*((-100)\/(-56) + 4\/(-14)). Solve -3*x - z - 4 = -k, -4 = -k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.605, 3, -7, 0.047, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*k + 2, 3*j + 4*k + 1 = -1. Let n be (62 + 4\/j)*1. Suppose t = -3*t + n. Calculate the remainder when 31 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.321 + -107.\nAnswer: -106.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 - 5 - (1 - -3)) - 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141\/35 - -24\/7. Let r(n) = -n**3 + 8*n**2 - 6*n - 8. Let f be r(7). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.96, -7, 0.04, -1\/8, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2788464 and 161?\nAnswer: 64134672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1811, 1967, 2129, 2297, 2471, 2651?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 14*t + 17. Let f be a(8). Let i(p) = 23*p**2 - 83*p**2 + 23*p**2 + f*p**2. Let z(n) = 5*n**2 + 6*n - 10*n + 4*n. Determine z(i(g)).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 101, 98, 93, 86, 77, 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -247, -1463, -4485, -10129, -19211, -32547?\n\"Answer: -136*m**3 - 87*m**2 - 3*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(-2*(sqrt(66) + 3*sqrt(66) + sqrt(66)))\/(sqrt(30)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -240448 divided by -1768?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p + 21. Let t(y) = 8*y - 17. Let j(k) = k - 6. Let d(f) = -j(f) + t(f). Determine -6*b(w) - 11*d(w).\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + -12 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009719 to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4231620033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/3, -0.8, 14, -1\/4, -5\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/735 - a**6\/105 - a**5\/42 - a**4\/42 - 11*a**2. Factor q(d).\nAnswer: -2*d*(d + 1)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5*i**2 + 111*b**5*i + 3*b**2*i**2 + 18*i**2 wrt b?\nAnswer: -180*b**2*i**2 + 6660*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -49613.\nAnswer: -6945.82","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1980780 and 1260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 42252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, d: 2, z: 1, l: 1, o: 4, w: 1}. What is prob of sequence wol?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/3 or -1\/79?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(1\/70))**(3\/32) assuming k is positive.\nAnswer: k**(-3\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/(s*s\/((s\/(((((s\/((s*s\/s**(-1\/13))\/s)*s)\/s)\/s)\/s)\/s))\/s)*s))\/(s**(-1\/7)\/(s**(-1\/3)*s)) assuming s is positive.\nAnswer: s**(-304\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p)**(2\/9)\/(p\/p**(-1)*p)**37*(p**(-6)\/(p*p*p**(-4)*p))**(6\/7) assuming p is positive.\nAnswer: p**(-14491\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36588508.\nAnswer: 2, 11, 151, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 + 2950*k**2 - 23840*k + 47840 = 0.\nAnswer: -598, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = 5. Is 179*(1 + -4 + g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 1, g: 1}. What is prob of picking 1 v and 3 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-290)\/(-250) + -1)*(8250\/240 + -34)?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3\/3 + 17*a. Let r(z) = z. Let i(n) = 4*r(n) - s(n). Let x(v) be the first derivative of 3*v**2\/2 - 1. Calculate i(x(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(192) + sqrt(192) + -1 + 5.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43425, 173834, 391227, 695604, 1086965, 1565310?\n\"Answer: 43492*f**2 - 67*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**3 - 130*m**2 + 40*m - 60. List the prime factors of p(16).\nAnswer: 2, 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -21*v**3 - 9\/4*v**2 + 3\/4*v**4 + 123\/2*v + 42 = 0.\nAnswer: -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + k + 2 - 1. Let c be r(2). Sort 0.01, -1\/5, c in decreasing order.\nAnswer: 0.01, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15672 + 2?\nAnswer: -15670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yku when three letters picked without replacement from ylunauayaykn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 4\/7, -7\/10, 1, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 23*o**2 - 2*o - 5. Is q(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67176523879\/56 + 1199647725. Let r = v + -453289\/7. Let j = 2182 - r. What is the common denominator of 109\/6 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 192 = 5*x + 4*y, 2*y = -2. Let s = x - -114. Suppose -86 = -z + 58. Calculate the greatest common factor of z and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 39080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4647 and 21253829.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1352542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/3 - 2*a**3\/3 - 605*a**2. Let q = 5 + -8. Let l(n) = -7*n + 3. Calculate q*l(v) - 2*u(v).\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssssssvsvvvssvsvvss?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67924 is divided by 3358?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 5*f + 109. Determine q(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -588\/5. Suppose 0 = 11*b - 15*b. Is s at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p**2. Let n(l) = -132*l. Determine o(n(u)).\nAnswer: -243936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/6150942 and 131\/126.\nAnswer: 6150942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in -1, 3\/4, -3\/80?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -z - 5979 + 6000, 0 = 7*h - 3*z - 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000274926 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -29. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 4. Suppose -t*f - 31 = -519. What are the prime factors of f?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*d + 222*d = -573*d - 6190 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23804 or -47609\/2?\nAnswer: -47609\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -99, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/35*-7*(-1017)\/9*4\/(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 9*m**2 + 9*m - 11. Let n = 2 - -6. What is a(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 7. Let u(w) = -6*w + 3. Let f = 7 - 6. Let t be 2 + 5 + f*-2. Calculate t*u(j) + 2*c(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -1137*o**2 + 1903322*o + 26784 = 0. What is o?\nAnswer: -16\/1137, 1674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305283263.\nAnswer: 17, 37, 485347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 21*k**3 - 3*k**2 - 2*k + 4. Let o be (-1)\/2 + ((-54)\/12 - -6). Let g be c(o). Solve l + 3*l = -g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7251914 and 5626.\nAnswer: 5626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9838*2\nAnswer: -19676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 379878283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552\/10350*1\/4*10.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Suppose -1 - x = -w. Suppose 2*j - 2*h + 14 = w*j, -3*j = 2*h - 24. Solve 3*t + 24 = -4*r - t, 0 = -5*t - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128073530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 9. Let a = c - -7. Put a, 2, 0 in increasing order.\nAnswer: 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -411*x + 5828 - 2022 + 6633 + 3946 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7258367744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + z - 3*z)*(4 + 0 - 5)*(4*z - z - 4*z) + 142 - 142 - 7*z**2 to the form u*z**2 + d + t*z and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Suppose -2*g - g + q = 0. Solve 0 = 2*l - 12 + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.743 rounded to 1 dp?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 m when four letters picked without replacement from {v: 2, e: 1, m: 13, o: 3}?\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-5) + (-888)\/111)\/(18\/15) + -6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.849342 rounded to 0 dps?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 a factor of 688178811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/176*13266\/16884.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-32)\/(-8) - 3. Let i be -2*(33\/(-22) + 1*l). Let q(f) = 2*f - 19. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-3 - -12) + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 341*f**2 + f - 3. Let s be a(1). Suppose -7735 = -t - 4*p, 2*t - 2*p - 15101 - s = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e3b3 (base 15) to base 12\nAnswer: -49166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 20 = -3*r. Let m be 92\/r + 18\/(-99). Suppose 3*f - 21 = 5*a, -f - m*f + a + 13 = 0. Let c(q) = 2*q**3 - 3*q + 2. Determine c(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 - 23*z**2\/5 - 38*z - 72\/5 = 0. What is z?\nAnswer: -4, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-16)*(-1 - -57). Suppose -4*a + r - 5 = i, -4*i = -a - 192. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:09 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -5, -51, 104, -151.\nAnswer: -151, -51, -6, -5, 2, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451\/10 + -87\/2. What is the common denominator of 441\/(-126)*2\/3 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-70))\/(66\/(-55))*7. What is the closest to f in -16.7, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 628*w**2 - 235956*w + 235956*w - 2*w**3 + (-3*w - 3*w + 7*w)*(3*w + w**2 - 3*w).\nAnswer: -w**3 + 628*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 492200 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 21 = -335*x + 332*x, -4*y + 4*x + 7 = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Factor 2*r**2 + 5*r - 5*r + 0*r + j*r.\nAnswer: 2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k. Let d(z) = 3*z - 5598 + 5598 - 2*z. What is 21*d(v) + 3*q(v)?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 57 = -2*d. What is the common denominator of -38\/27 and 80\/d*((-309)\/45 + 7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -r + 2*y, 226 = -0*r + 5*r + 4*y + 196 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493026559?\nAnswer: 493026559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + -8.89. Let m = 8.9 + a. What is the second biggest value in -1, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -783065777*v**3 + 3816410. Let y(a) = -12311*a**3 + 60. Determine -6*f(w) + 381641*y(w).\nAnswer: 12311*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 8 - 2*o**2 - 22*o + 10 - 1 in the form j*o**2 + h*o + z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 0\/3 - 2 - 1. Let g be 2\/13 - p\/((-429)\/6). Solve 5*y + n - 10 = -g*n, -5*y + 5*n = -40 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -18.72\nAnswer: 2.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 315071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83\/1169 + 12\/167. Factor -2\/7 + 3\/7*z**2 + 1\/7*z**3 - j*z**4 - 1\/7*z.\nAnswer: -(z - 2)*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3 = 2*x, -135776*x + 135781*x + 1 = -4*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103202330 + 30?\nAnswer: -103202300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(11 + (-1605)\/145). Solve -i*a - 9 = -67 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -187793, -376203, -564613, -753023?\n\"Answer: -188410*o + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4463 + 30736 = 187*j - 1216 for j.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2005787, 8022681, 18050837, 32090255?\nAnswer: 50140935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 610903 = -408833. Suppose -10*z = 2*z - p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:46 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -645240068 > -645240066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13318057 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**2\/8 + 939*z\/4 - 1854 = 0?\nAnswer: 8, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*p**4 - 3631*p**2 + 12*p**4 + 3634*p**2 + 360*p wrt p?\nAnswer: -636*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 77. Let y(s) = s + 3. Let w be y(-3). Is f(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/12982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 12. Calculate the lowest common multiple of b and 3\/6*4 + 76.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -603 (base 9) to base 14.\nAnswer: -26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -21 (c) 47\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 + -125564?\nAnswer: -125641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - (36 - 36)) + 32.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -2\/3, -1, -36, 0.0666?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*v + 2975*v + 2777*v + 2881*v to the form h*v + l and give h.\nAnswer: 8454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2011419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h - 28 = 0. Let t be 30*(-2)\/(-4)*-2. Let y be (-2)\/3 - h\/t. Which is the closest to 1? (a) y (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v - 6. Let g be f(3). Let c = g - -33. Suppose 144 = -c*b + 417. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 4 = -2*h + 2*d + 46, 804 - 767 = 3*h - 2*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 13 - 8. Let o(n) = -n**2 + 8*n - 8. Let i be 175\/63 + 4\/18 - -2. Let x be o(i). Calculate the greatest common divisor of z and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -20. Suppose -r - r + 427 = q*h, 5*r + h - 1056 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -42. Suppose 3*h - r - 10 = -4*f, 0 = -f - 4*h + 20. Let p(a) = 3 - 5 + a + f - 2. What is p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8793850 to the power of 1\/2, to the nearest integer?\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 0.3152?\nAnswer: -20.3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -530 or -571?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/18)\/((-10)\/15) + 10. Suppose -10 = -3*v - 4. Suppose -3*g + 288 = 4*a, 2*g + 57 + 87 = v*a. Calculate the greatest common divisor of a and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50882666 - 18.8.\nAnswer: -50882684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 - 10201211012?\nAnswer: -10201221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1592857*f**4 + 101569*f + 2 wrt f?\nAnswer: -19114284*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*i - 116 + 116 + 2*i + 0*i + 0*i + (0 - 1 + 2)*(i + 3*i - 2*i) + i - 3 + 3)*(2*i - 3*i**2 + 2 + 5*i**2 - i) as o*i**3 + g*i**2 + t + p*i and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 9 = -h, -5*t + 235 = -5*h + 240 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let g(f) = -f**2 - f. Let w(a) = 39*a**2 - 3*a. Let j = -95 - -91. Let o(u) = j*g(u) + w(u). Calculate o(b(r)).\nAnswer: 172*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**4\/12 + 30*t**3 + 1458*t. Factor w(z).\nAnswer: 5*z*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(4*d + 2*d - 2*d) + (-8*d - 4*d + 0*d)*(0 - 1 + 0) - 3 + 2*d + 3 + 64*d - 40*d - 166*d to b + u*d and give u.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3193739 times -2\nAnswer: 6387478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -16*v**7\/3 + 49*v**3\/2 + 118*v - 218. Let n(a) be the first derivative of j(a). What is the second derivative of n(w) wrt w?\nAnswer: -4480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l + 510 = -21*l. What is the remainder when 40 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5305382 less than -5305385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 222284.404 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.322 + 7530457\nAnswer: 7530458.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2 - 11. Let y(s) be the second derivative of -s**4\/6 + 89*s. Calculate y(n(k)).\nAnswer: -200*k**4 - 440*k**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 68*t + 41. Let d(f) = -f**3 + 17*f**2 - 17*f + 26. Let y be d(16). Is a(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250*o**3 + 213*o wrt o.\nAnswer: 1500*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:55 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -125, -190, -255, -320, -385?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.308, -93, -6\/13 in decreasing order.\nAnswer: -0.308, -6\/13, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-5 + 7)) + (1 - -3 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*k - 53 = h, -4*h + 48 = 4*k. Factor q - q**2 + h*q + 4*q**2 + q**2.\nAnswer: 4*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 61*y + 149. Give g(4).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 3*r + 3*r)*(-7*r**2 + 3*r**2 + 2*r**2) + 0*r**3 + 0*r**3 + r**5 - 2*r**4 + 0*r**4 + 4*r**4 - r**5.\nAnswer: -8*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 598 + -2999\/5. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -292?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/19 in -0.3, 4, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + (-2926)\/(-21) - (-2)\/3. Let a = t - 120. Calculate the lowest common multiple of 40 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from jlxlllllsxxlllnllxjx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*10.952.\nAnswer: -43.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -57, -69, -85, -105, -129, -157?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/4 + 3657*w**4\/4 - 106687*w**3\/4 + 763031*w**2\/4 + 53343*w\/2 - 191672 = 0. Calculate w.\nAnswer: -3686, -1, 1, 13, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 375754 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/4)\/1*(-1550)\/19375?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24476*h*q**2 + 3*h*q - 827039*h - q**2 + 19*q + 4 wrt q?\nAnswer: 48952*h*q + 3*h - 2*q + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Let k = -2 + s. Solve -k*f - 3 = 0, -5*f - 11 = h - 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - d - 4*d + 4 + 0*d to h + r*d and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12\/120491 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 445\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.57566139 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1369734, 1369736, 1369736, 1369734, 1369730, 1369724?\nAnswer: 1369716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, 776, 2942, 7150, 14078, 24404, 38806?\nAnswer: 57962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44714 = -21*v - 2252. Is 14 a factor of v\/12 - (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*z - 118, 0 = -3*z - g + 260 - 73. Let r = z - 107. What is the remainder when ((-3)\/2)\/(3\/r) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 + 6*h**2 - 2*h. Let g(m) = 882*m + m**2 + 887*m - 2651*m - 6*m**2 - 5*m**3 + 885*m. Calculate 6*g(x) + 5*t(x).\nAnswer: -5*x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 4*t + 11*t + 4*t - 26*t. Suppose 4*b = -4*d - 12, -2*d + 14 = -5*d - 4*b. Let h(q) = 0*q**2 - 2*q**2 - d*q**2. Calculate n(h(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13113 (base 10) to base 12\nAnswer: -7709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 54, 59, 66, 75, 86, 99?\n\"Answer: r**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16679*y**4 - 3609 wrt y.\nAnswer: -66716*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -39*x + 1758. Is 2 a factor of f(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6635 + -6635. Let q = -0.5 + 0.3. Let l be -6*((-5)\/(-16))\/(-5). Which is the nearest to n? (a) -5 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/18)\/((-2)\/(-3)). Suppose -59 + u = -2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143*m**3*p**3 - 2*m**3 - 282*m*p**2 - 480691*p**3 + 28*p**2 - 15 wrt p.\nAnswer: 858*m**3 - 2884146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 220*j + 36. Let f be o(28). What is the units digit of f\/20 + (3 - 4)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11407099 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176.3 + 199. Let z = -22.75 + q. What is the nearest to z in 0.5, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 - 171 + 18*m + 4*m)*(25 - 25 + m).\nAnswer: 22*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*b - 21 + 15 = 0, 0 = 4*z - 5*b - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 5 + -7 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c = -68*c - 38. Suppose 9*x - c = 34. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -10*j - 14*j + 30*j. Which is the closest to -0.2? (a) -2\/5 (b) j (c) 8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*m - 296 - 667, 5*q + 4*m - 2490 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122530480 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2506983, 5013964, 7520955, 10027956, 12534967, 15041988?\n\"Answer: 5*f**2 + 2506966*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106166 and 6758?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42302*v**3 - 42186*v**3 + 84491*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 56151.579 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 3, x: 1, k: 1, u: 3}. Give prob of picking 1 x and 2 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3.4 (b) -5\/7 (c) 2426 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 33521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349778 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 8*a + 7*a**3 + 12*a.\nAnswer: 7*a**3 + 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 3*i**2 - 280*i**3 - 277*i**3 + 1158*i**3 - 285*i**3 - 300*i**3.\nAnswer: 16*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 34?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v = -21*v - 42872. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 5*y**2. Let u(q) = 3*q**3 + 8*q**2. Let d be 2\/28*74 - 4\/14. Calculate d*u(r) - 8*f(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4273 divided by 4273.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9 + 15 + 13*c - 6. Let b(u) be the second derivative of -u**4\/8 + 3*u**2\/2 + u. Let n(x) be the first derivative of b(x). Determine n(p(o)).\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5 - 2*o**4 - 7 - 3*o + 5*o**4 to the form a*o**2 + r + s*o + b*o**3 + l*o**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*j - 2*j + 3*d, 5*j - 46 = -2*d. Let z(r) = -9*r + 2. Let f be z(j). Let b be 2\/14 - 2449990\/f. Round b to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 764 + 235. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1789984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 + 39 = -97*h. Let o be 9\/(-4)*32\/(-6). Suppose -4*g - o + 94 = a, -g - 4*a + 28 = 0. Solve 5*u = h*p + g, -u = -3*p - 1 - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p - 6. Let v be y(4). Let a be (8\/44 + 12363\/v)*960. What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = 5*u, 4*u + 105 - 125 = -4*b. Solve -y + 19 = -4*h, 2*y = -y - b*h - 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2 + 0*w - 3\/2*w**2. Let d(g) be the first derivative of 3*g**3 - 63. Calculate h(d(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3*u**2 - 230*l**3*u + l**3 + 9*l*u - 6*l - 34*u**2 wrt l?\nAnswer: -24*l*u**2 - 1380*l*u + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 548, 1084, 1604, 2102, 2572, 3008?\n\"Answer: -r**3 - 2*r**2 + 549*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**3\/2 - 2*u. Let o(z) be the third derivative of -z**4\/4 + 36*z**2. Give v(o(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. Suppose w + 174 = y*w. Let n = w + -12. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -25. Suppose d*r + 3*m = 24, 5*r - 30 = -m - 2*m. Solve r*v - q + 12 = 0, -q + 3*q - 4 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(19) + 0).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r. Suppose -3*x + 9 = -r*x. Solve 3 = 2*t - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 211 + 19 + 118*s**2 - 940 - 462 - 341 wrt s?\nAnswer: 236*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 61, -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56158828529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 184428\/135 - 2\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 10. Let c(l) = -l + 3. Let a(w) = 10*c(w) + 3*z(w). Let x(p) = -184*p + 92*p + 90*p. Give x(a(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -457.\nAnswer: 52\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 25. Let n be z(11). Solve 4*u + 0 = -n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431114 - -2688261?\nAnswer: 4119375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 11248.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 4 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6, 5600, -5, 2\/9, 25 in decreasing order.\nAnswer: 5600, 25, 2\/9, -0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21110301 (base 4) to base 8\nAnswer: 112461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -19*n + 10, 20 = -3*f + 4*n. Solve 4*s = 4*g - f*g - 32, s = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 31314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/5))**29)**(-48))**(-24\/5) assuming f is positive.\nAnswer: f**(33408\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004088 to 7 dps.\nAnswer: -0.0000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 14*s**2 + s - 10. Let m be d(8). Let f = 7 + m. List the prime factors of f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 313*d + 19. What is h(-1)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 11*k = -3*k + 37, -2*k - 79 = 4*t - 61 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(2 - 6\/4). Let n(u) = 18*u. Let j be n(x). Let h = -11 + j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6330.\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 6, d: 1, g: 1, u: 3, c: 1}. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*(-1260)\/(-41400)*4\/357.\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/183 and 53\/244.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2495187*h + 27 + 2495185*h - 27.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert -549758 (base 10) to base 9.\nAnswer: -1027112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*i = -3, -3*i - 21 = -3*d + i. Suppose 2*j = -d*p + 839996, 0 = -p + 2*p - 5*j - 280010. Round p to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -147894 + 44764*p + 27771*p - 21353*p - 3*p**3 - p**3 - 634*p**2 + 6*p**3 = 0.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2396628 = 26*d. Suppose d = -s + 28378. Round s to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3518 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 2:36 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-242))\/((-336)\/(-384)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1332 + 63a99?\nAnswer: 62767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 14 = 2*a + 4*f, -4*a + 5*f + 32 = 0. Let u = 4 - a. Calculate the greatest common factor of u and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/4 - 2*s. Let z(f) = 3 - 35*f**2 - 3 + 36*f**2. What is z(j(q))?\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 89805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + a + 450000. Let f = 14 - 14. Let u be n(f). Round u to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 15 - 7 - 9*s**2 - 4*s.\nAnswer: -s**2 - 4*s - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/108 and 37\/638994?\nAnswer: 11501892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1368994 is divided by 588?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, 25, 151, 297, 469, 673, 915, 1201?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 665?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -21. Suppose -3*f - 3*o = -o - v, 3*f + 5*o = 31. Suppose 5*s = b + 2*b + 71, -20 = -f*s + 4*b. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 5*a**2 + 10*a**4 + 0*a**2 + a**3 - 3*a as n*a**3 + k*a**4 + c*a**2 + u + r*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 1, 573, -87, 2 in ascending order.\nAnswer: -87, -3, 0, 1, 2, 5, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 70, -4, -2, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a153 - 2?\nAnswer: 13a151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2)*(-15 - 24 - 17)*(-9*s**4 - 28*s**4 + 17*s**4).\nAnswer: 1120*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000156432008 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*g + 76. What is the remainder when (60\/48)\/(6 + -2 + (-10932)\/2736) is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from qpppqsqspqsbqpppqqsq.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*g + b, -5*g = 5*b - 3*b - 26. Solve 3 = -h + 3*a, -g*a - 18 + 22 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8395)\/(-5037) - (1 - 98\/(-3))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1037945+23825\nAnswer: 1061770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*k*x + 54*j*r - 26*j*x - 8*j - k*r*x - 27*k*r - 2 wrt r.\nAnswer: 54*j - k*x - 27*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 6. Let a(t) = -t - 3. What is -13*a(u) + 6*n(u)?\nAnswer: -5*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14232 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0127 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*t + 478*t - 1141*t - 18.\nAnswer: -2*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:11 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627 is divided by 51?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 - 7822*s**4 - 31268*s**3 - 46892*s**2 - 31258*s - 7814.\nAnswer: -2*(s + 1)**4*(s + 3907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 92\/22 - ((-24)\/33)\/(-4). Let h(v) = -y*v + 3*v**2 - v - v**2 - v**2. What is h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 245, 368, 491, 614?\n\"Answer: 123*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2834796 and 111\/460.\nAnswer: 14173980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*k**4 - 6*k**3 + 8*k**2 - 8*k + 33981?\nAnswer: -176*k**3 - 18*k**2 + 16*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 1\/6*m**2 - 1\/30*m**5 - 9 + 1\/9*m**3 - 1\/90*m**6 + 0*m**4 - m. Let t(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4290 and 161\/171600?\nAnswer: 171600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 1 + 1 + (-y + 2*y + y)*(5 + 2 - 5) + (-2 + 2 + 2)*(-y - 1 + 1).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6))**25*(z*z*(z**(7\/2)*z)\/z*z)**(-20))**(1\/54) assuming z is positive.\nAnswer: z**(-655\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 12:09 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -636976 divided by 31?\nAnswer: -636976\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cim when three letters picked without replacement from mcmbmmmdmhcchbbcmbbi.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 3*u - 21, 0 = 2*u + 10. Let c(i) = -i**3 - 2*i**2 + 5. Let v be c(m). Suppose n + 0*n - j - 55 = 0, -v = -3*n - j. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 2*u - 17. Let g(y) = y**3 - 6*y**2 - 7*y - 8. Suppose -3 - 25 = -4*i. Let j be g(i). What is the tens digit of q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - 19*a - 11. Let l(j) = -3*j**2 - 18*j - 10. Let d(i) = -5*k(i) + 6*l(i). Let m be d(7). What are the prime factors of 3*1 + ((-10)\/m - -75)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*a**3 + 3785*a**2 + 690*a.\nAnswer: -5*a*(a - 69)*(11*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 35 = -g + 7, 3*g = -3*i + 138. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p + 42. Calculate r(-10).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:46 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**43\/(x*(x\/(x*x*x\/x**(-6)))\/x)**26 assuming x is positive.\nAnswer: x**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61164648 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/10))**41\/(q**(-40)*((q**(23\/2)*q)\/q)\/q*q) assuming q is positive.\nAnswer: q**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 1799?\nAnswer: 1799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 83?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 0.44. Let v = -4 + 3.5. Which is the biggest value? (a) v (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3\/4, -1\/625, -0.5, 5, -5 in ascending order.\nAnswer: -5, -0.5, -1\/625, 3\/4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -266.6489 to one decimal place.\nAnswer: -266.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131026963493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from goaoogooiaioooq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*a**2*c**2 + 9*a**2*r**2 - 5*a*c + 88*c**2*r**2 + 13*r**2 wrt c?\nAnswer: -28*a**2 + 176*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 8\/10 - 360\/(-75). Let c = -0.13 - -0.23. Let d = -0.2 + c. What is the closest to -0.2 in d, 0.3, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 36) + -123 + 193)\/((-20)\/24).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5312, -5282, -5252?\nAnswer: -5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 2, n: 1, r: 1, t: 1, u: 1}. What is prob of sequence unh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -108, -7\/13, -0.2, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(51)\/sqrt(3) + 1.\nAnswer: sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*q + 1 = -9, 3*q = 5*y + 50. Let s be 6\/(-12)*(-7)\/(y\/(-6)). Suppose -s*z - 12299 = -10*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*i - 3*i = -897, s - 450 = -4*i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081462592 plus 2648466?\nAnswer: 2648466.081462592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lolyz. What is prob of picking 1 o, 1 l, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010110020 (base 3) to base 8.\nAnswer: 2071251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 11*r + 5. Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*(-7)\/((-1015)\/7482)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*1*(6 - 8). What is the second biggest value in -4\/5, 3\/2, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -699*a**2*z**5 + 1172*a**2*z**2 - 2*z**3 wrt z.\nAnswer: -41940*a**2*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 10, 4*j + 3*s - 2138 = -147. Is j a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 4*h = 4*k + 24, -3*k - 2*h + 20 = 0. Suppose -15 = c - 3*l, 3*c + 12 = l + 7. Suppose z = -u + 6, -z + c*z = 5*u - 38. Solve k*f - u = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1272 and 27984.\nAnswer: 27984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 418310956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13416860 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12361844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**3\/2 + 3026*j. Let p(w) = w**2 + 3*w. What is 3*p(a) + 3*s(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85553810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*h + 96, -4*h + h = 15. What is the remainder when 35 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12315515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -28666*s - 28644*s + 2 + 57344*s + 2. Calculate v(-2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1339?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1705962.1 to the nearest 10000.\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.3. Let z = 3053 + -3057. What is the second smallest value in z, -0.5, j, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + w**2 + 4*w + 6*w - 3*w**2 to the form g*w**2 + o*w + i and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3709161 and 59\/4179?\nAnswer: 25964127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31261 (base 7) in base 9?\nAnswer: -11481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1546588.954 + 1544789. Let h = -1802 - j. Let u = 2.1 + h. Round u to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b**2 - 3. Let l(g) = -28*g**2 - 5. Determine 3*l(r) - 5*m(r).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232837451*i**3 + 226243107*i.\nAnswer: 1397024706*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13380026 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 595775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let i(n) = -631407*n**2. Give i(t(c)).\nAnswer: -2525628*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 3*i)*((-2*i**2 + i - i)*(-46 - 6*i + 46) - 5 + 5 - i**3).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 3, j: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s + 4. Let p = 201.956 + -202. Let n = -0.956 + p. What is the closest to n in 0, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-29)\/7 + (-2)\/(-14). Let t be 3 - (g\/4*-2)\/(-1). Solve 0 = 3*x - 7 - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f - 129 + 54 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 36*u**2 + 60*u + 276. Let d be l(34). Let i(r) be the second derivative of 0 - r**3 + 1\/12*r**d - 38*r - 1\/2*r**2. What is i(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -275035*h**2*r*s - 7*h**2*s - 486*h**2 + 9585*r wrt s?\nAnswer: -275035*h**2*r - 7*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2*2 - (sqrt(5) - sqrt(80)*-2).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {a: 1, d: 2, n: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 + 1 - 1 - 15*l**2 in the form a*l + n*l**2 + t and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 26. Let l be u(35). What is the second derivative of 3 + b**3 - 12 + 2*b**2 - 172*b + l wrt b?\nAnswer: 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from oooccoqqc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294525478 to the nearest integer?\nAnswer: 17162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let r = 3.0062 - p. What is r rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 0.1, -0.03, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1286. Let n(l) = -57*l + 3. What is q(n(f))?\nAnswer: 57*f + 1283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -19874757\nAnswer: 3974951.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 18226*c - 309553.\nAnswer: -(c + 17)*(c + 18209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46475, -46436, -46363, -46262, -46139, -46000?\n\"Answer: -v**3 + 23*v**2 - 23*v - 46474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 - 30*o + 1. Let v(l) = l**2 - 6*l. Let m(q) = -11*v(q) + 2*w(q). What is m(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7919189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.824 - 0.176. What is the biggest value in -0.5, -4, q, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p - 7*p)*(9 + 11 - 4)*(2 - 2 - 1).\nAnswer: 128*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -148019213 + -4390274\nAnswer: -152409487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 20 = -2*m + 7*m, 2*m - 6 = 2*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2. Let k(m) = -7*m. Let p(f) be the third derivative of -29*f**4\/24 - 10*f**2. Let v(d) = -18*k(d) + 4*p(d). Calculate v(u(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 16092487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1605918694*y**2 + 1605918694*y**2 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:46 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 - -33. Which is greater: a or -76?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 2. Let r(h) = -335*h - 536. Determine -r(z) + 268*v(z).\nAnswer: 67*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c + 263 = -5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 78. Calculate the remainder when (-157)\/(-3) - (-8)\/(-24) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6546042 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: Suppose -5*f + 54 = -4*v, -2 - 6 = -2*f + 5*v. Calculate the remainder when (42\/70*-2)\/(3\/(-100)) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a4a - -18c?\nAnswer: 6bd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 0, -c + 9 = -0*c - 4*t. Suppose c*h = -1 + 16. What is the second derivative of -m + 6 + m**h - 6 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -638 + 658. What is the remainder when 131 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from ooosoos?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.3 and -0.1281.\nAnswer: 2.1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = -v + 5*v + 153 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40101.1*8.5.\nAnswer: 340859.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 - 5*r + 1. Let g be s(-4). Suppose -g*f + 34 + 46 = 0. Let m = 44 + 18. What is the remainder when m is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29886413 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5406576602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -65 (c) 9546.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*l + 17*l + 8244 = 117*l for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (0 - (21 - 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 2*g**2 + 3*g**2. Let b(s) = 6*s. Let n(x) = 9*x. Let o(q) = -7*b(q) + 5*n(q). Calculate w(o(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -288, -588, -888, -1188, -1488?\n\"Answer: -300*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 19*o**5\/30 + 20*o**3\/3 - 35*o**2. What is the first derivative of n(s) wrt s?\nAnswer: 76*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -39, -69, -99?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2884 + 2876. Let b(q) be the second derivative of 0 - q + 7\/2*q**2 - 7\/6*q**3 - 1\/12*q**4. What is b(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548 or -186970\/341?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 8. Let r be s(-8). Let j = 1 - r. Let y be (-1421)\/(-147) + (-1)\/(-2)*-20. Which is the second biggest value? (a) -2\/3 (b) y (c) -2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, c: 2, f: 3, h: 4, o: 1}. What is prob of sequence ffoc?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0*k + 0*k + (0 - 3 + 4)*(10*k - 11*k - 14*k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*x = -219, -x - 98 = -2*s + 349. Let q = s + -224. Solve q = 5*t - 4*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 132982235, 265964481, 398946727?\n\"Answer: 132982246*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222216 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 3:32 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 135. Let q = o + -7. Let s(t) = -3*t**2 - 2*t + 1. Calculate s(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1397376, 1397374, 1397372, 1397370?\n\"Answer: -2*s + 1397378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1, -2.2, 2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 14*k. Let m(d) = 2*d**3 - 1367*d**2 - 73*d. Determine m(v) - 5*x(v).\nAnswer: 2*v**3 - 1357*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3279, -0.5, -0.2, -0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -890 take away 17970?\nAnswer: -18860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 2*d**2 - 5*d + 6. Let k = 1667 - 1664. Give m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d - 4. Let k(a) = -20*a + 13. Let z(i) = 4*k(i) + 11*p(i). Give z(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -186, -419, -746, -1167, -1682, -2291?\n\"Answer: -47*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b + 4?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -145. Let k = -4.82 + -0.18. Which is the closest to k? (a) 2\/15 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7542195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 2*p + 4. Let v be g(0). Sort 8, 17, v, -1 in descending order.\nAnswer: 17, 8, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, s: 15}. What is prob of sequence bbb?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -179 - 12*w**2 + 179 + 6*w**2 - 3*w**2 - 5*w**2 + (w - 1 + 1)*(1 - 1 + w) - 3*w**2 + 5*w**2 - w**2 - 1 + 2*w**2 + 1 - 336*w + 336*w + 50*w**2.\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -50b06a8?\nAnswer: 50b0695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggmgggggggg. Give prob of sequence mggm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w)\/w**(-5\/2)*(w**(-1\/4)\/w)**(-22))**7 assuming w is positive.\nAnswer: w**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 41 - (-474 + 437).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + -41032594.013?\nAnswer: -41032669.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + sqrt(85)\/sqrt(5)*2)**2 + (sqrt(153) + -3*(sqrt(153) - 1*sqrt(153) - sqrt(153)))\/sqrt(9).\nAnswer: 10*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 7*q)*((0 - 1 + 3)*(-1 - 1 + 4) + 1 - 5 + 5 - 7 + 10 + 7).\nAnswer: 90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5220901 litres?\nAnswer: 522.0901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.75 * -0.33.\nAnswer: 1.5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, -1\/3, -201063, 26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/11176 and -53\/12573.\nAnswer: 100584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 28*g**2 + 63*g + 61. Let a(y) = -y**3 + 14*y**2 + 28*y + 28. Let n(f) = 9*a(f) - 4*z(f). Determine n(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a + 20 - 164 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9032*c + 397418. Give a(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59905, -59908, -59911?\nAnswer: -59914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -600 less than or equal to -601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839580 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 15*j - 25. Let l be r(-17). What is the derivative of -l - 16 + 14 - 10*z**2 wrt z?\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/140 and 89\/474320?\nAnswer: 474320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 42*v**2 - 9*v. Let j(z) = 43*z**2 - 9*z. Let y(b) = -5*j(b) + 6*n(b). Find the second derivative of y(u) wrt u.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -10*y + 16*y. Let i = y + 60. Is 11 a factor of (2 + 28\/i)*-78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -90, 2\/3, -0.1, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 708, -8, -3 in increasing order.\nAnswer: -8, -3, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1188 and 101\/11664.\nAnswer: 128304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.33. Let n = 13.33 + c. Let s = -12.99999982 + n. Round s to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 14*a + 1736 = 8*c, -3*a + 1310 = 4*c. What is the greatest common divisor of a and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -42*o + 641. What is m(24)?\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 5. Let w be g(6). Let z be -112*(1 - w)\/(-2). Suppose 0 = 2*d - 4*i - 26, -z = -4*d - 0*d - 4*i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -6612771?\nAnswer: -20\/6612771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -700, -1402, -2086, -2758, -3424, -4090, -4762?\nAnswer: -5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a factor of 330412583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (sqrt(1125) - sqrt(1125)*-2))*-5.\nAnswer: -225*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z - 3. Let i(a) = 6*a**2 - 34*a + 15. Let p(b) = -2*i(b) - 11*r(b). What is the tens digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27699, -55390, -83071, -110736, -138379, -165994, -193575, -221116?\nAnswer: -248611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h + 2)*(0 + 2 - 3)*(5*h + 8*h - 6*h).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + c**4 + c**4 + (0*c - 2*c + 0*c)*(0 + 0 + 2*c**3) + 0 + 0 - 2*c**4 + c**4 - 3*c**4 + 0*c**4 - 2*c**4 - 2*c**4 + 0*c**4)*(-c + 0*c + 3*c).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -2. Let v = f + 2. Let w = -46 + 45. Which is the nearest to w? (a) -1 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -6*l - 33, 0 = -11*l + 9*l - 4*n - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9192*p + 9157*p + 455 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 90*f**2 - 85*f.\nAnswer: -5*f*(f + 1)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 6. Suppose 6 = 2*y, -g*m - 2*y + 0*y + 24 = 0. Is (-46)\/3*m\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*y - 5, -20*u + 19*u = -y - 2. Solve u*s = -0 + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 10) to base 15\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/11 (c) 20 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1368 and 161\/14956560?\nAnswer: 284174640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 22*t**3 - 4*t**2 + 2*t**2.\nAnswer: -22*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3)*(-168)\/(-1372)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 11*s - 6. Let w be d(-10). Let x be (-2 + w)\/((-10)\/(-55)). Let z = -5 + x. What is the lowest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2871273 is divided by 218.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**2. Let f(a) = -111*a**2 + 2*a. Give f(j(w)).\nAnswer: -18759*w**4 - 26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 2*a + 1. Let m be o(-5). What is the greatest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + 15. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*k**2 + 9\/2*k**3 - 3\/2*k**5 + 0 + 3*k + 3\/2*k**4.\nAnswer: -3*k*(k - 1)**3*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l**4 + 0*l - l**4 + l**4 + l**4 + (4 - 2*l**2 - 4)*(l**2 - l**2 + 2*l**2) + (-2*l**3 - 9 + 9)*(-3*l + 0 + 0)*(-29 + 8 + 9) + l**2 - 2*l**4 - l**2.\nAnswer: -78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 644, 1, -1, -3, 3 in descending order.\nAnswer: 644, 3, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/8 + 2 + 10\/(-8). Solve 0 = -f*a - a - 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -7*k**4\/8 - 7*k**3\/6 - 7*k**2. Let y be i(9). Let z = -35 - y. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 37*u + 459. Determine g(13).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 1 - 49799*m + 49799*m. Let w(k) = -2*k**2 + 9*k - 4. What is 4*f(c) + w(c)?\nAnswer: 2*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:31 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9799 and 2183504.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + (-23)\/(-7). Suppose -4*o + 9*o - d*b = 2, 3 = 5*o - 2*b. List the prime factors of 23*o - 15\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k - 930. Let b = k - 13948\/45. Is b at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84969 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:59 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = -4. Let o be (10\/4)\/(i\/(-18)). Calculate the smallest common multiple of 9 and 3\/(o\/6) - 215\/(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1249, 1218, 1175, 1126, 1077, 1034, 1003?\n\"Answer: n**3 - 12*n**2 - 2*n + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v - 6 = 0. Let t be ((-8 - 3) + 3)*(-1)\/2. Suppose -v*k - 222 = -t*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let z be (-1*35\/(-5))\/(-1 + -4). Is b > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from dddoddddod.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, 1 z, and 1 h when four letters picked without replacement from xzxhhpxrhhh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -16. Suppose 0 = -0*f - 4*f + y. Solve 0 = -f*h + 4*r + 16, -3*h + 2*r = -r - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/240 + 251*v**5\/24 + 11*v**4\/6 - 27*v**2. Let s(j) be the second derivative of q(j). Is s(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 733 + -211. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 183.258 millimeters?\nAnswer: 183258000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -19475798.\nAnswer: 3895159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69882.99g in milligrams?\nAnswer: 69882990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2. Let y(f) be the third derivative of 1429*f**5\/60 - f**2 + 30*f. Determine k(y(r)).\nAnswer: -6126123*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 232526 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 4) + (-15 - -19) + (-4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - r)*((-1 - 6 + 2)*(0*r**2 + 3*r**2 + 0*r**2) + (-r + 6*r - 4*r)*(150*r + 44*r - 25*r)).\nAnswer: 308*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:13 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(2548\/126)*15778\/2415.\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-7)\/210*30\/20?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115\/354 + -31\/177. Which is the smallest value? (a) -2\/13 (b) g (c) -1 (d) -1\/400\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 799996 = 5*f - 3*f, 0 = -3*x + 2*f - 2400004. Round x to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366.97 - 367. Let q = 199.4 - 199. Sort q, -1\/10, s in descending order.\nAnswer: q, s, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -23201?\nAnswer: -23120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 13) in base 10?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - 4. Let f be (-4)\/3*w\/4. Let k be (1 + -2)\/(f\/(-12)). Solve -2*u + a + 1 = 3, 4*a + 4 = k*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f**0)\/f*f)\/f)**(2\/23)*f\/(f**(-3)\/f)*f*f**(-3))\/((f*(f\/f**0)\/f*f*f)**26\/(f**1\/f**(-3\/2))) assuming f is positive.\nAnswer: f**(-3331\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**3 - h**2 - 10*h - 3. Let k(w) = -3*w**3 + 2*w**2 + 8*w + 3. Let i(s) = 5*k(s) + 4*l(s). What is the third derivative of i(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*s + 24, -123 = -3*z - 9*s - 66. Let w = 0.3 - 0.5. Let d = 0.34 - 0.14. Which is the closest to 1\/2? (a) w (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d - 7*d + 34*d + 13*d + 2 as y*d + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -5388\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000335066627 to seven decimal places.\nAnswer: 0.0003351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -144. Let j = -10 + 16. Let y = j - -6. What is the highest common divisor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 36*t**2 - 163*t + 637. Is r(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s**3\/4 + s**2\/2 - 13*s\/4 - 1\/2 = 0.\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163.9999943 - -164. What is x rounded to 7 decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-4)*(-39095)\/11170*(-1)\/(7\/4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0, 1033?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -157\/5? (a) -1\/5 (b) 2\/17 (c) 0 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17345 + -17349. Put r, 5, 720, -5, -3 in descending order.\nAnswer: 720, 5, -3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001210212110 (base 3) to base 14.\nAnswer: -10a92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = t + 29923, -17*c - 3*t - 29913 = -20*c. Round c to the nearest one hundred.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956700.7 minutes to milliseconds.\nAnswer: 57402042000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.48299 - 151739?\nAnswer: -151806.48299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1288, -5058, -11320, -20080, -31344, -45118, -61408, -80220?\nAnswer: -101560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -17, -1\/3, 5, -5, -2\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93609925 + 3?\nAnswer: -93609922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7399333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 11656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (-180)\/(-13) + 4\/26?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + -267.83. What is n rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 938951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 4*k - k + (0*k + 3*k - 5*k)*((3 + 3 - 5)*(0 - 1 + 2) + 1 + 2 - 2 + 0 + 3 - 1) as s + j*k and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31383102?\nAnswer: 2, 3, 53, 98689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*y - 54*y - 90*y - 191*y to the form d*y + v and give d.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -49. Let b(a) = a + 194. What is -2*b(z) - 9*c(z)?\nAnswer: -2*z + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 225. What are the prime factors of (-6)\/4 + p\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {r: 1, f: 10, m: 1, c: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 910?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2226, 10 in increasing order.\nAnswer: -2226, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 125.53783 and -0.05471?\nAnswer: 125.59254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = 6*n. What is the second smallest value in n, -0.4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25540 take away 96.994?\nAnswer: -25636.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/534 and -59\/22962.\nAnswer: 22962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) + -2*sqrt(110))*4)\/(sqrt(100)\/(sqrt(90)\/sqrt(9))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(245) + -2 + sqrt(5) + 0 + sqrt(5) + sqrt(5) + 3*(-2 + sqrt(5445))**2.\nAnswer: -386*sqrt(5) + 16344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Express 69*n**4 - 106*n**4 + 222*n**4 + (14*n + 160 - 160)*(n - 1 + 1)*(-3 - n**2 + 3) in the form z*n + w + c*n**2 + f*n**4 + m*n**3 and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*((-40)\/75)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52668 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 not equal to 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((42294\/(-15))\/266)\/(1\/10)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 490702435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20952 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6\/5, -3, 2.1, 0.2 in ascending order.\nAnswer: -3, -6\/5, 0.2, 1, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 417*p - 6. Let d(t) = -23*t. Determine m(d(b)).\nAnswer: -9591*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20 = -2*i, 2*i - 37 = -3*x - 9. Solve 2*y + 1 = i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3161094.\nAnswer: 2, 3, 251, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 7*c - 33*c**3 + 6*c**3.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3236, 3254, 3322, 3440, 3608, 3826?\n\"Answer: 25*v**2 - 57*v + 3268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -269*c**6\/120 - 137*c**3 + 1773*c**2. Differentiate v(x) with respect to x.\nAnswer: -807*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (8\/4 + -2))\/1. Let f be ((-10)\/(-105))\/(y + (-6940588)\/(-3470306)). Let a = 13776 + f. Calculate the common denominator of 23\/12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -i - 4*n, -2*n + 22 = -99*i + 104*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5648.264 days in minutes?\nAnswer: 8133500.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -221 + 220 - (-2 + -15 + 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 9 = 5*d, -2*d + 5*d - 15 = -5*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 829*c**2 + 542841*c + 33618663.\nAnswer: (c + 69)*(c + 1209)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -w - 0*w + 16, -3*w + 103 = -5*o. Suppose x - 117 = -8*x. Calculate the highest common divisor of x and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 2, j: 3, y: 1, q: 4}. Give prob of picking 3 j and 1 c.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20629 - 20630. Which is smaller: -53\/122 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248097?\nAnswer: 3, 82699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 4*i**2 + 2*i - 2. Determine q(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.326 + -0.026. Let q = 0.021 + 0.439. Let p = q - r. Round p to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 5*b**3 + 16*b**2 + 74*b + 11*b + 75 - 16*b**2 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/351323 and 4\/509985.\nAnswer: 15809535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11431680191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, z: 1, o: 3}. What is prob of sequence ooz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i. Let x = -66 - -64. Let j(g) = -9*g. Let d(q) = x*m(q) + 3*j(q). Let z(c) = 7*c. Calculate d(z(r)).\nAnswer: -77*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -12. Suppose -d = -l - 15. Suppose d*o - 25*o - 60 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 53. Calculate y(25).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44065049?\nAnswer: 7, 1907, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Let k = o - -13. Solve 5*t + 9 = -k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6814, 6618, 6284, 5812, 5202?\n\"Answer: -69*j**2 + 11*j + 6872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - 3 - 6*m - 4*m)*(8*m**2 + 5 - 5) + (3*m + 0*m + m)*(3 - 3 - 2*m**2) as c + v*m**3 + s*m**2 + x*m and give v.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0584 and -194.6816.\nAnswer: 11.36940544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*((-4 - 4 + 0)*(557*n + 25704 - 25704) + (2 - n - 2)*(0 - 1 + 3)).\nAnswer: 4458*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/1219 and 27\/1265.\nAnswer: 67045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 105\/7 + -9. Let q be 2\/(j\/12 - 2\/6). Solve -q + 9 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -m + 228, 1052 = 5*m - w - 2*w. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 840 + 11*i + 171*i**2 - 4*i - 840 to p + m*i**2 + v*i and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2)*((-6)\/(-4) - 1). Solve -q - 5 + 0 = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4882642506 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2070*n - 7821. What is the tens digit of k(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4214*s**4 - 4594*s wrt s.\nAnswer: 50568*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-19712)\/(-66))\/(-64))\/(1\/(3\/1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.015589506.\nAnswer: -0.07794753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9398380 to the nearest 100000.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17664 and 33503088.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.064 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11*27\/45*-10. Solve -21*t - t = -u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294882 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 2. Let k(h) = 4*h + 12. Let j(a) = k(a) + 6*q(a). Let z(b) be the second derivative of 1\/6*b**3 + b + 0*b**2 + 0. Calculate j(z(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/20 and -17\/20860?\nAnswer: 20860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -49 (c) 5 (d) 26 (e) 106 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3490127.52 + -101.\nAnswer: -3490228.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5514043214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 16*m = 20. Solve 34 = -11*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 35995*i**2 - 36016*i**2 + 0*i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 4*o + 40, -3*o = o + 4*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**3*z**3 - 455*p**3*z**2 + 269*p*z**5 wrt z.\nAnswer: -6*p**3 + 16140*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-4823)\/2)*-49*34\/(-714).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.1 + 37. Let w = h + 5. Sort w, 0.3, 2 in increasing order.\nAnswer: w, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7*r**49)**(-1\/13))**11 assuming r is positive.\nAnswer: r**(-616\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:52 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i - 225*i + 14 + 133*i - 2*i**2 - 14.\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.166 (b) 4 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/23760 and 91\/80.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120*s = 1118*s + 5*m - 1, 3*m + 7 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + c + 40, 871*c = 2*x + 870*c + 44 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 11. Let n(r) = r**2 + 1. Let s(i) = 4*i**2 - 2*i + 5. What is j*n(o) + s(o)?\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.61801 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-7)\/((-49)\/14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 74807\nAnswer: -2992.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-171)*(-15)\/10*-1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.96 - -0.04. Let h = -109 - -765\/7. Let q = -4\/47 + -27\/235. Which is the nearest to q? (a) -5 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1092*c**2 + 1101*c + 9 = 0.\nAnswer: -1, -3\/364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u - 31. Let d be (15\/5 + 1)*-1. Let q be l(d). Which is the third biggest value? (a) q (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 192 = -3*n, -5*b = n + 2*n - 198. Calculate the remainder when 153 is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 17*m**2 - 17*m + 21. Let z = -22 - -103. Suppose 3*k + z = 27. Determine q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/10*(-30)\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 25 + 8 = 0. Let r = i + -8. What is the tens digit of -3 + 51\/3*r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 - -288. Suppose 16*k - k - 75 = 0. Suppose 4*d - k*y - i = 0, -5*y = 3*d - 0*d - 115. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 + 264.9. Put -2\/13, a, -5\/6 in decreasing order.\nAnswer: a, -2\/13, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*u + 24, -3*i - u - 24 = -3*u. Let h be (-8)\/i - 4\/(-6). Suppose 0 = h*n + 2*n - 20. Solve 5*m + 9 = 2*x, -3*x = -m - x - n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 - 13*t + 16. Give w(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 842.3575um?\nAnswer: 0.0000008423575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19392 divided by 32\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + -5) - (1 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1076454 and 5925?\nAnswer: 26911350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 64 = -4*p, -4*p = -2*p - 8. Let h be 4\/18 + (-110)\/9. What is the lowest common multiple of k and (h\/(-1))\/(-3 + 5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 3*i**4 + 5*i**4 + 2*i**4 + (-2*i**2 + 2*i**2 + i**2)*(-3*i**2 + i**2 + 0*i**2).\nAnswer: 8*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19.8. Which is the smallest value? (a) 3 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m + 266549. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from iiiciiciici?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 186431.4.\nAnswer: 37286.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 5 + -2)\/(-3 - -5). Solve q = 7*m - m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55174, -55171, -55168, -55165, -55162?\n\"Answer: 3*q - 55177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r = 14726 - 9999 + 23055. Solve r*k + 88 = 468*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/(((-159)\/(-20))\/(551\/2204)).\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -72, 44, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. Is a at least as big as 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + 47884905*k - 2292964126859025.\nAnswer: -(k - 95769810)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + f**3 - 4*f**3 - 3*f + 3*f**3 + 26*f - 3 + 19*f**2 wrt f?\nAnswer: 20*f**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/19760343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/22)\/(((-1)\/1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 - 30. List the prime factors of s - (1 + 0\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*p = 107, 2*s + 5*p = 162 + 67. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30800 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-143)\/(-26) - (3\/1)\/(-6). Calculate the highest common factor of b and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a - 2*a. Let c be (0 + -1)\/a + (-104)\/(-48). Suppose -c*z - 4*h = -h - 7651, -3806 = -z + 5*h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7335485309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*(-16)\/84?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 63*r**2 - 93*r**2 - 97*r**2.\nAnswer: -127*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 146768.1805 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let p(t) = -2582*t + 11023. Determine p(z(f)).\nAnswer: -5164*f + 11023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 9 + 6)*(-2 + 2 + 3)*(-3 + b + 3) in the form v*b + g and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 - 152969*l\/2 - 458905\/3.\nAnswer: -(l + 2)*(l + 458905)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/14 - 34*m**3\/21 - 75*m**2\/7 - 198*m\/7 + 729. Suppose n(v) = 0. Calculate v.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 16, -15014 in descending order.\nAnswer: 16, -130, -15014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41672163745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*m + 6 = -305*m. Which is the nearest to -0.8? (a) 4 (b) -0.4 (c) m (d) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 12, 27, 42, 57, 72?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:11 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.38 and 5.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23c (base 13) to base 12\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3897844 and 1691?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u**3\/9 + 404*u**2\/9 - 2464*u\/9 + 1472\/3 = 0. Calculate u.\nAnswer: 4, 69\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 20797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-495)\/(-297))\/((-1)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-2)\/(-4))\/(18\/432). Let l(a) = -17*a + 28*a + 30 - 20 - d*a. Give l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 7 = 16*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5353*v**3 - 9*v**2 + 20*v. Let t be h(5). What is t rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21888 and 1035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 5260*u**2 - 6903295*u + 1601642910.\nAnswer: 5*(u - 413)**2*(u + 1878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 179, 372, 553, 716, 855?\n\"Answer: -v**3 + 200*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -r*j + o + 24 = j, -j + 8 = 4*o. Suppose -2*l + 5*n = -45, 12*l + 4*n = 11*l + 16. What is the remainder when l is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-9) + 2\/(-6). Let j(x) be the first derivative of -x**2 - 2*x + 8. Determine j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3 = -b, -2*x + 6 = -2*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18641.4 rounded to the nearest 100?\nAnswer: -18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8062 = -4*k + 2*q, -7*k + 8063 = -3*k - 3*q. Calculate the common denominator of 9 + -1*k\/210 and -22\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37944 (base 10) to base 9.\nAnswer: 57040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1*sqrt(1728) - sqrt(1728)) + sqrt(1728))*3)**2.\nAnswer: -15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 754, 760, 768, 778, 790, 804, 820?\n\"Answer: b**2 + 3*b + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003088 to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1777, 1809, 1865, 1957, 2097?\n\"Answer: 2*h**3 + 18*h + 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 5, 6, -3 in decreasing order.\nAnswer: 8, 6, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40680 divided by 12?\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 51, 14, -49, -144, -277, -454?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnhhhnn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n + 99. Let h be p(0). Suppose 14 = 3*o + 3*k - 4, 0 = 2*o - 5*k - 33. What is the highest common factor of o and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - -0.02. Let f = i + -4.09. Let g = -4 - f. What is the nearest to g in 4, -0.5, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2937648 to four decimal places.\nAnswer: 0.2938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107821903, 215643801, 323465695, 431287585, 539109471, 646931353, 754753231?\n\"Answer: -2*g**2 + 107821904*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8231, -8234, -8237, -8240, -8243, -8246?\nAnswer: -8249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:40 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/2 (b) 0.06 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 - (1 + 173\/(-3)). Let c be -3 + (2 - 3) + 154. Suppose 5*w + 4*l - 120 = 0, -4*w - w + c = -2*l. What is the highest common factor of w and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 3. Suppose -2*d + d = 7. Let k = -2 - d. What is the greatest common divisor of r and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, n: 1, z: 3}. Give prob of picking 2 z and 1 h.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5254 and 923150?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/1998 - (-146)\/37?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003992507 to 5 dps.\nAnswer: -0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5391, 5495, 5599, 5703, 5807, 5911?\n\"Answer: 104*v + 5287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*t - 16 = 2, -3*a - 14 = 5*t. Which is smaller: 8\/11 or a?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 755, 953, 1283, 1745?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6949.236 rounded to the nearest integer?\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (0 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39942 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*39\/((-4875)\/(-50)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(2*n**2 + 2*n**2 + n**2) + (-11*n + 2 - 10*n + 2*n)*(-n + 3*n - 4*n))*(n + 4 - 4).\nAnswer: 48*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/(-18) + 12\/54. Suppose 0*b = -u*b + 12. Suppose -2*r + 2*l + 8 = 0, -25 - 35 = -5*r - b*l. Calculate the greatest common factor of 81 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -127*o + 65. Let n be b(-11). Suppose -28*a + 134 = -n. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 2*u - 4*u, 5*u = -3*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**34*d**(2\/25)\/((d\/d**(-2\/9))\/d) assuming d is positive.\nAnswer: d**(-30632\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-25) + (-2)\/(-10). Suppose r - 5*w = -13, g = 2*r - 5*r + 2*w. Is 2*(-4 + 77\/r) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33244 (base 7) in base 5?\nAnswer: 231422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(3\/2*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 8, -4*c - 14 = -5*y + 28 - 15 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*t - 3*b, -5*t + 18 = -2*t - 4*b. Let q be t\/(-27) + 101\/9. Solve -q = 3*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1388\/3 + 640. Let l = 177 - z. Let j be 0\/(-2)*(-1)\/2. Which is the nearest to -17? (a) j (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -67 + 1\/2*p**2 + 30*p + 6*p**3. Find the first derivative of t(g) wrt g.\nAnswer: 36*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 2*j**3 + 1774*j - 3889*j + 1450*j.\nAnswer: 3*j**3 - 665*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20575 and 40525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, i: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1135.01 and 4?\nAnswer: 1131.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8635, -8646, -8673, -8722, -8799?\nAnswer: -8910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 7. Let y(b) = -1. What is -d(a) + 4*y(a)?\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-22))\/((-42)\/462)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 150. Let r be (10\/(-9) - -1)*w\/4. Let t = -0.4 + -0.1. Put r, 0.3, t, 3 in ascending order.\nAnswer: t, r, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 1. Let s(q) = -36*q - 30. Calculate -4*g(x) + s(x).\nAnswer: -24*x - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(90)\/sqrt(2) - (sqrt(45) - sqrt(315)\/(sqrt(21)\/sqrt(3))))\/(-2*sqrt(90)\/(sqrt(70)\/sqrt(7))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * 5.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13350305 is divided by 635726.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*61\/(-366)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 1)*1 - ((sqrt(245) + sqrt(245)*1)*-2 + sqrt(245) - sqrt(245)).\nAnswer: 1 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18056*u - 18030*u + 338 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x - 4*q - 384 = 0, 0 = 2*x - 3*q - 148. Let z be -2*(4 - (11 + -2)). Calculate the highest common factor of x and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 + -244. Let n(s) = -s**3 + 32*s**2 - 2*s + 68. Let c be n(l). Solve 3*v - c = 7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14939359*n*t - 80670408*n - t wrt t?\nAnswer: 14939359*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 34*v - 396. Give s(22).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:17 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + l**2 + 2*l - 6. Let y be f(-2). Let z be 142\/y + 12 + -3 + -4. Let q = -4.3 - -4. What is the second biggest value in -0.2, z, -4, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q. Let r(i) = -i + 6. Let a(u) = -1. Let g be (-2)\/(-1)*(-5)\/10. Let t be 2 + (-2*4)\/1. Let l(n) = g*r(n) + t*a(n). Give l(o(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 25)\/(2*-1) - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmqeeqmeeqmeqkve.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, 1\/10, 37328?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 - 478*b + 479*b - 15)*(-6 + 2 + 0).\nAnswer: -4*b + 764","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 x when four letters picked without replacement from xnxjjxxxn.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -420, -421, -424, -429, -436?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2313, 10305, 23627, 42279, 66261?\n\"Answer: 2665*m**2 - 3*m - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 2. Let y(h) = 2*h - 5. Let i be y(6). Let q be w(i). Suppose 5*c - q = 0, -2*c - 19 = 4*d - c. Sort -1, -2, d in decreasing order.\nAnswer: -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -23*w**2 + 831*w - 6664. Give i(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 57916\/10*(-10)\/18. Let o = w + 3221. Find the common denominator of -5\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*u**2 + 6962\/9 + 236\/9*u.\nAnswer: 2*(u + 59)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -154, -10, 374, 1118, 2342?\n\"Answer: 20*l**3 + 4*l - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 385 = -3*r. Suppose r = 8*z + 7. Let n be 1*(5 - 6)*-5. Solve z*m = m - n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b - 4*o = 16, o + 30 = 4*b. What is the least common multiple of b and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 158\/3?\nAnswer: 158\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-3))\/(-7) + 2 + -4. Let f = 0.1 - 1.1. Let x = -0.0262 + -2.9738. What is the third smallest value in f, x, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18604629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*t**2*z**2 + t**2 - 9*z**2 + 5 wrt t?\nAnswer: 62*t*z**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 49 = -3*f. Suppose 2*b - 1 + f = 0. Let o(a) = -3*a - 3. Let t(g) be the second derivative of -g**3\/2 - g**2 - 13784*g. What is b*t(w) + 4*o(w)?\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v**5\/2 + 10563*v**4 - 2820687*v**3\/2 - 92932491*v**2 - 74826192*v + 16685376 = 0. What is v?\nAnswer: -47, -1, 2\/11, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -551. Let f = 248 - w. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b = -16. Solve b*d = f - 18, -5*d + 4*d = -3*f + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 9:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -32. Let a be 2*w + 28\/7. Let d be 4 + ((-240)\/(-28))\/a. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*p + 43, 44 - 2 = 5*p - 3*o. Let b = 63 + -60. Calculate the lowest common multiple of b and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 4 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10680*s**3 - 5991*s**2.\nAnswer: -64080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:40 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000425161 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 34. Solve -5*p + 0*p - 11 = -3*g, 2*g + 4*p + n = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 - 2*c + 2. Let g(u) = -u**3 - 6*u**2 - 2*u - 7. Let d be g(-6). Suppose 3*q - d*q = -4. Calculate f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 34, 58, 86, 118, 154?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-39)\/(-6))\/(((-1050)\/(-30))\/(-980)*-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 8*t**4\/17 + 1180622*t**3\/17 + 58082076066*t**2\/17 + 952749243798170*t\/17 + 10235343727491134\/17 = 0.\nAnswer: -49189, -43\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7300 - 7299.95249. Round d to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - 8. What is x(7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1) + 3\/(-5). Let z = -5501\/8 - -688. What is the second smallest value in -3\/4, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7741 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r + 68*r + 56 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.6706 millennia?\nAnswer: 1067.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 7:01 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33348444.\nAnswer: 2, 3, 73, 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (-9 - -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - v - 4*v to l*v + k and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 95 + 23. Let g(r) = r**2 - 3*r - 2. What is g(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 24 - 6 = 0. Let w be p\/1 - 1 - -3. Suppose 5*u - w = u. Solve -7 = u*z - 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - 6 - (19 + -30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -108, -13, 11\/2 in descending order.\nAnswer: 11\/2, 2\/9, -13, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 844\/(-3)*(-3)\/2. Suppose -4*i = -94 - h. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 11030254?\nAnswer: 11030252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0164 - -0.9836. Which is the fourth biggest value? (a) 1 (b) 169 (c) 8 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1834 is divided by 1555.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*g + 260*g = 72. Let r(d) be the second derivative of 0 - 6*d**2 + 3*d + 1\/6*d**3 + 1\/20*d**5 - 3\/4*d**4. What is r(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/8)\/o**(2\/7)*o\/o**(2\/35)*o**10 assuming o is positive.\nAnswer: o**(2949\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(17*f + 44*f + 80*f - 11*f) in the form j*f + c and give j.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a factor of 908548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24735 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -20268453005.327.\nAnswer: -20268453011.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 271?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*m - 31*m - 23*m - 30*m - 26*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 41 + 9 = 0. Let c be (-111)\/(-9) + -3 + v\/6. Solve c + 7 = 2*x + 5*j, -3*x - 3*j + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3\/5 - 837*s**2\/5 - 48*s\/5 + 13392\/5 = 0?\nAnswer: -4, 4, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(2\/4)\/((-6)\/4). Suppose 12*f - f - 44 = r. Let h(q) = -q**3 + 3*q**2 + 3*q + 7. Let p be h(f). Solve m = p*l + 11, -l - m - 2*m - 7 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24045?\nAnswer: 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 9. Let v = -0.2 - -0.2. Which is the closest to d? (a) -3 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10071 - -1.43578?\nAnswer: -10069.56422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 9. Suppose -h = h. Does 3 divide d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 39. Solve -7 = -o - 0*o + g*j, -2*o = 5*j + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2459*n*o - 4643*o wrt n.\nAnswer: -2459*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 242\/(-5)*(34965\/14)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26376752, 26376756, 26376760, 26376764, 26376768, 26376772?\n\"Answer: 4*s + 26376748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38825384 and 121495.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/17 (c) -92 (d) -5 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l - l**4 - 5 - 295*l**3 + 295*l**3 + (-3*l**3 + l**3 + 0*l**3)*(l + l - 3*l).\nAnswer: l**4 - 5*l - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2073, -5392, -9973, -15822, -22945, -31348?\n\"Answer: -b**3 - 625*b**2 - 1437*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3203, 4, 1\/4?\nAnswer: -2\/3203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637536 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/(36\/(-10) - -4). Let b be (i\/(-8))\/((-8)\/224). Solve -2*z = z - 4*j + b, -2*z = -2*j + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 6, a: 5, g: 5}. What is prob of sequence bgbg?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxwvwwxw. What is prob of picking 1 w and 1 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25099611899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 - 547856454?\nAnswer: -547855639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 1. Let j(p) = -5 - 10*p + 7*p - 2*p. Determine -9*g(q) + 2*j(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*k**2 - 1357*k**4 - 44*k**6 + 1357*k**4 wrt k.\nAnswer: -5280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/8 - ((-3)\/(-4))\/((-66)\/(-44)). Solve -18 = m*r + 36 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwwwwwwwwwf. What is prob of sequence wf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -6, 0, 68, 31545 in descending order.\nAnswer: 31545, 68, 4, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*g - 2*g**2 + 150*g + 828*g**4 - 173*g - 8831 - 2475*g**4 wrt g.\nAnswer: -19764*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003567 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372*d - 162 = 5046. Suppose 4*i = q - 84, 2*q + 0*i = -i + 132. What is the remainder when q is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 197 (c) 1\/7 (d) 5 (e) 1293\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 360356.1 centuries?\nAnswer: 36035610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*t + 13*t + 59*t + 8277 - 8276 to u*t + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 140 = 4*h, -5*b + 185 = 6*h - 3*h. What is the smallest common multiple of b and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/(-27) + 1 - (-4739)\/63?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -141. Let c be (-2)\/d - (-1)\/(-2). Let s = 215\/8388 - -1\/466. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d + 88. Calculate the lowest common multiple of 36 and u(-19).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9805 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 28, -0.08, 35\/6, 1, 27, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 16 = -3*t. Suppose 2*s + 154 = f + f, 4*f - 299 = s. Let o = f + t. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from {k: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27288901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**5\/5 - 3*w**2\/2 - 6*w. Differentiate f(x) wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45830 - -45830.39994. Let d = p + -0.4. Round d to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*-1*5*2)\/(sqrt(24)\/(sqrt(20)\/sqrt(5)) + 4*(sqrt(96) + sqrt(6))).\nAnswer: -20*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3587.\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 95. Put 1, 2, j in increasing order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1913318 - 41*u + 1913318.\nAnswer: -41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1801\/42009?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4587 = x, 3*x - 5576 + 19315 = g. Let n = 12078 + x. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.438008021 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*w + 4*w - 16 = 0, 0 = r - 5*w - 5. Let g be 1\/2 - (-3)\/2. What is the nearest to -0.1 in 5, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.4. Let m = y + -0.3. Let t = -14 - -13. Which is the second smallest value? (a) t (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3819997 to the power of 1\/2, to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 394*b**3 + 27*b**2 - 10*b + 62. What is the thousands digit of k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4606 is divided by 116.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -17*j**2\/2 + 283*j - 114. List the prime factors of f(-33).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 23 - 26 = 0. Is (14 - -1053) + k\/2*0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 2595913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r - 12. Give f(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14329, 56586, 127061, 225760, 352689, 507854, 691261?\n\"Answer: z**3 + 14103*z**2 - 59*z + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1000 + 12511?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 2*z)*(379*z**2 + 404*z**2 + 504*z**2 - 228*z**2).\nAnswer: -1059*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:03 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.941 - -10\nAnswer: 21.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7983 - 7544. What is the remainder when s is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 47267445 and 47267445 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 170\/(-15) - (-3 - 9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from czc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c**3 - 13*c**2 - 13. Let p(o) = 7*o**3 - 6*o**2 - 6. Suppose 757 + 322 = -83*x. Calculate x*p(t) + 6*s(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - sqrt(972)) - (3*sqrt(24)\/sqrt(8) + sqrt(3)).\nAnswer: -33*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858341 = -j - 305868. Let k(y) = -23233*y + 143. Let p be k(-10). Let h = p - j. Round h to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:42 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/(r**(-6)\/r))\/(r**(-1\/12)*r*r\/(r\/(r\/(r**2*r)))))**(3\/22) assuming r is positive.\nAnswer: r**(61\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2109*c - 2114*c - 32, 2*c + 0*c + 38 = 3*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22200 + 22199.5. Which is the second biggest value? (a) 1\/5 (b) -460 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 + 10*b - 1. Suppose -16*d + 75 = 62 - 147. Calculate l(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1862091.5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1 + -2)*1. What is the nearest to u in 0.2, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 16 = 0, 4*p + 5*f - 35 = 7*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3113 + 3118. Put h, -5, -4, 319 in ascending order.\nAnswer: -5, -4, h, 319","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 - 852*j**3 + 11335*j**2 + 77850*j = 0.\nAnswer: -865, -5, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/210 and 91\/8262700?\nAnswer: 173516700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 48 = 32. Solve -o*r = 1 - 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2266 and -37?\nAnswer: -83842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/6 + 7*m**2\/2 + 4*m. Let k be g(-8). Let j = 0.36 + -0.06. What is the third smallest value in 1, k, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1085 and -43.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 44*f = 47*f - 14, -2*w - 3*f - 10 = 0. Let v be (2\/(-8))\/(w - 434\/(-56)). Is 8 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2436*j + 4*j**2 - 2436*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Suppose 3*a = 5*a + 6. Sort k, a, 1 in decreasing order.\nAnswer: 1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (3 - 2) + 106\/(-50). Let w = 83\/275 + m. Let x = 0 + 0.4. Sort 2, w, 0.3, x.\nAnswer: w, 0.3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6607202 or -6607201?\nAnswer: -6607202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(-85)\/(-782)*4\/95.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgmgrmmsgm. What is prob of picking 1 s, 1 m, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 3. Let x be w(0). Suppose 5*y = x + 17. What is the third derivative of 2*j**4 + 2*j**2 - j**2 - j**y wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0. Put 1\/2, q, 3 in decreasing order.\nAnswer: 3, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24982.9 - -23962. What is d rounded to the nearest 10?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -37 - 56*v - 48 - 60*v + 106*v. Let z be w(-9). Solve 5*d = -2*n + 33, z*n - 22 = -d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22471*k*z**3 + 16*k*z**2 - k*z + 2*z**3 - 71*z**2 wrt z.\nAnswer: 134826*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29291, -58586, -87881?\n\"Answer: -29295*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1987*k + 1609*k + 4782*k + 5687*k + 1586*k)*(0 + 0 + 2*k)*(-1 + 3 - 1) to the form l*k + t + s*k**2 and give s.\nAnswer: 23354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 8*w**3\/3 - w**2 + w - 1. Suppose -5*z = 4*c - 9, -2*z + 3*c - 12 = -11. Give a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/11 - 628*s**3\/11 + 4482*s**2\/11 - 3852*s\/11 = 0. What is s?\nAnswer: -321, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63624771*i**2*u + 2*i**2 - 15254191*i wrt u.\nAnswer: -63624771*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1553409965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o = 65*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293956938 and 3378.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)*t**0*(t*t**(-3)*t*t)\/t**(5\/2) assuming t is positive.\nAnswer: t**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298, -293, -286, -277, -266?\n\"Answer: v**2 + 2*v - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1424 times -0.009\nAnswer: 12.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71718011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7367 + -7271. Suppose -10*y = -12*y + 20. What is the remainder when k is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 31673389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**4 - 1306*y**3 + 154*y - 2663543 wrt y?\nAnswer: -8*y**3 - 3918*y**2 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 34, 55, 78, 103, 130?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 + -1.451\nAnswer: -3.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/972 and -23\/1175391?\nAnswer: 4701564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6176674, 6176675, 6176676?\nAnswer: 6176677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 15 = x. Let f(l) = 0*l**2 - l**3 - x*l**2 - l - 7 - l. Let h be 2\/(-13) + 63\/(-13). Give f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*2*-3 + sqrt(204))\/(sqrt(28)\/(sqrt(7)*-1)))\/(-1*((sqrt(96)\/sqrt(4))\/sqrt(8) + sqrt(3))*6).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(9\/6)*((-629)\/37)\/476?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7393646 centuries in years?\nAnswer: 73.93646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s. Let c(y) = -3*y - 4458998. Determine c(g(m)).\nAnswer: -24*m - 4458998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-22 + 42 - 10) + -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 4 (c) -5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/59680 and 105\/274528.\nAnswer: 1372640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + t**2 + 6*t**2 - 3*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14821 - 9562 = -37*f. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7611239.6+0.01\nAnswer: 7611239.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5768965.7000045 - -5768969. Let f = -49.7 - -53. Let g = u - f. What is g rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.28 - -14.72. Let z = -625.8346922 - -640.83469. Let a = z - b. Round a to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80139217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 14*c - 2*q = 4554, 3*c = -q + 3403. What is the remainder when c is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1820071 and 2150993.\nAnswer: 23660923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13420031 (base 5) to base 6\nAnswer: -2550234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 3, c: 2, t: 3, i: 4, w: 2}. Give prob of sequence fp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1950 divided by 13?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from wawwwwwa.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from czytjjzjzzjjj?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 765934915 a multiple of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*2\/3 - 3. Let t(w) be the first derivative of 3*w**2 - 6*w - 2*w**3 + 2 + 1\/4*w**4. Let x(z) = z**2 - z + 1. Determine c*t(q) + 6*x(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/2317 and -87\/1248532.\nAnswer: 8739724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 4. Suppose 0 = -u + 2 + 1. Let h(d) be the second derivative of 0 + 17\/2*d**2 - 2*d + 5\/6*d**u. Give 2*h(z) + 9*s(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.5449 rounded to the nearest integer?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -59\/10. Which is the biggest value? (a) 0.3 (b) 1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0 + 12. Suppose -4*y = -5*m - 16, y + m - w = -0*m. Suppose -59 = 2*f - 61, -5 = 3*c - 6*c + f. What is the third smallest value in c, 1\/12, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {z: 4, n: 11, l: 4}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4655, -23, -1 in decreasing order.\nAnswer: 6, -1, -23, -4655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*l**3*u - 86*l**3*v - 2*l**2*u*v + 4*l**2*u + 6*l*u*v + 14*u wrt v?\nAnswer: -86*l**3 - 2*l**2*u + 6*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -48. Let o = d - -31. Suppose -2*m + 3*m - 2 = o. Solve m*r - 2 - 8 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i + 1888 = 8024 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 59384 in increasing order.\nAnswer: -4, -2, 59384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 205036841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - -2.07. Let t = c + 1. Let h = 0.5 + -1. What is the third biggest value in 2\/31, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 10 - 38 = 0. Let a be r + 0 - 4*(-9)\/15. Let z = 6.49 - -0.51. Which is bigger: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/2 - 183*r - 11232 = 0 for r.\nAnswer: -288, -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181920000 rounded to the nearest one million?\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-65)\/(-10))\/(1\/2). Suppose -1 = 4*p - w. Let x = 5 - p. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 164. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.111 (c) 0.4 (d) -0.4 (e) 491 (f) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g - 3. Let y(u) = 36*u + 23. Determine y(w(k)).\nAnswer: 468*k - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18612 divided by 396?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 8*d + 75. Determine b(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488 - 3489 = 97*u for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346966?\nAnswer: 2, 173483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2 (c) -14 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-3)\/(-6))\/(5\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -134, -296, -522?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41162, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78421 + 78219 - t**4 + t - t**2 - 2*t to the form b*t**3 + z*t**4 + q + a*t**2 + m*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 + 5*m**4 + 268*m + 8\/5*m**5 + 0 + 0*m**3. Solve j(v) = 0.\nAnswer: -15\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.404 and -3.\nAnswer: -22.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhththhhhh. Give prob of sequence tttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*o - 27 = 0, 5*m + o - 14 = 17. Solve 37 = m*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 56 = -9*f. Suppose -f*w = d - 83, -5*d - 2*w + 290 + 143 = 0. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 7)*-4*(-7)\/56. Let b be 246\/20 + w + (-76)\/20. Factor -5 - b*t**2 + 35\/2*t.\nAnswer: -5*(t - 1)*(5*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/14)\/(y*y**(4\/9))*(y**(-1))**31)\/((y*y**(-3)*y*y)\/y*y**(-1\/2)*y)**26 assuming y is positive.\nAnswer: y**(-2441\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4448 - -7479. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9620119 and -15.\nAnswer: 9620104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -470, -468?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h + 57. Solve -27 = 5*r - 3*o, 0 = 5*r - 2*o + 34 - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31465 = -18*q - 3403. What is the remainder when q is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72805*h**3 - 7279*h - 6 wrt h.\nAnswer: -436830*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5070504l?\nAnswer: 507.0504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*t - 69 + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let j be -4 + 4\/(128\/140). Let k = 0.6 - 0.2. Which is the closest to q? (a) k (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iizn when four letters picked without replacement from piipiznzzznppnzn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/11395 and 28\/6837?\nAnswer: 34185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - 1 - (-3)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/7 - 38*u**3\/7 - 100*u**2\/7 + 48*u.\nAnswer: 2*u*(u - 21)*(u - 2)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Let a be (-11)\/((-9)\/3 + j). Suppose 2*k = k + a. Which is bigger: k or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 64272547874 and -17?\nAnswer: 64272547891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/3457 - 6921\/24199. Put d, -7\/5, 2\/69, -1\/10 in decreasing order.\nAnswer: 2\/69, -1\/10, d, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 588*k + 7306.\nAnswer: 2*(k - 281)*(k - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7458.301 rounded to the nearest ten?\nAnswer: -7460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = c, -30 = 3*c - 2*v - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 2. Let r be d(-7). Let o = r - -8. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 88 (b) 2\/5 (c) 18942.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 725018385 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174674410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -67980 divided by -1545?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8340)\/(-695)*(-2)\/180?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4980\/(-74700))\/((-3)\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17587712 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) 14\/5 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752245021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/560 and -41\/4466.\nAnswer: 178640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3627 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 15. Let o(d) = -d - 7. Calculate 3*k(y) - 7*o(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 + 2*x + 25. Let l(h) = h**3 + h. Let g(w) = -3*l(w) + u(w). Let i be g(0). Solve -i = 5*j + k, 0 = 2*j - 5*k + 1 + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 1, -3\/2, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -716.789*-1\nAnswer: 716.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38321970 divided by 5.\nAnswer: 7664394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61165 is divided by 5433?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8401\/6 - 1394. Let f = q + -47\/12. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-10) + -1)\/(80\/(-4600)). Let k = o - 64. Suppose 0*d - 3*d + 24 = 5*h, k*h + 5*d - 30 = 0. What is the remainder when 13 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Suppose -6*c + 7*c - m = 0. Solve 0 = 5*b - 6 - c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = -6*u + 2012. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 - (-2248)\/160)\/((-4)\/(-30)). Which is the biggest value? (a) 2\/5 (b) u (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 17 - 35 - 2*z + 17. Give a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402a4 (base 12) to base 6.\nAnswer: -1441524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*b**3 - 1265*b**2 + 55977*b.\nAnswer: -150*b - 2530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83167537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 117*u - 1. Let t be v(-39). Let o be 6*2\/(-4)*-3. Let m be (6\/o)\/(8\/36). Put 1, m, t in decreasing order.\nAnswer: m, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 95 - 3*v + 3*v - 86.\nAnswer: 3*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*i + 4009*i - 155821 + 516025 = 0 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/v)**(-13)*(v**(-3\/5)\/v*v)**(2\/3))**(-5\/9) assuming v is positive.\nAnswer: v**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116379345631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -71*v + 66*v - 9, 2*v + 5 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = y, l = 3*y + 6*l - 22. Let d = 6 - y. Suppose -3*w - w = -3*b - 58, d = b. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6329, 5929, 5531, 5135, 4741, 4349, 3959?\nAnswer: 3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/4 - 423*c**4\/4 - 1419*c**3\/2 + 7891*c**2 + 81570*c + 187200 = 0. Calculate c.\nAnswer: -416, -6, -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329 - -407. Let u = s - 77.99999572. Round u to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2642058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 848777.1 grams?\nAnswer: 848777100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 0 (c) 1\/7 (d) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*m - 2726 = -2863 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128, 255, 380, 503, 624, 743?\n\"Answer: -a**2 + 130*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3101 - -18757\/6. Let j = 82145\/3692 + 1\/1846. Calculate the common denominator of r and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -552*g**2 - 1444 wrt g?\nAnswer: -1104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-550)\/198 + 4\/12)\/((-6)\/27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-6) + (-1)\/3. Let m = -5 - h. Let t = -6.9 + 7. What is the nearest to t in -0.5, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/110)\/(12\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2820744926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + (-2)\/(-1 - 1). Let h(y) = -f + 22 - 4*y. Let j(k) = -3*k**2 + 5. Let g(u) = u**2 - 2. Let x(w) = -10*g(w) - 4*j(w). What is h(x(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0, 1, -88 in ascending order.\nAnswer: -88, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -157, -318, -467, -598, -705, -782, -823?\n\"Answer: k**3 - 168*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.8. Let g = 1 + 0. Which is the third smallest value? (a) -1 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + b = -12 + 2, 2*i + 2*b + 8 = 0. Let m = 31143217\/20171322 - 41\/32482. Let z = m + -44\/27. Which is bigger: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -39 + 1\/2*y**2 + 20*y. Let t(p) = 3*p. Give c(t(x)).\nAnswer: 3*x + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -148, -766, -2038, -4162, -7336, -11758, -17626?\n\"Answer: -33*x**3 - 129*x**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 5. Let f(b) = -8*b. Calculate f(v(g)).\nAnswer: 24*g - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119396, -119397, -119398, -119399, -119400, -119401?\n\"Answer: -u - 119395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.03 + -0.03. Let w = 12 - 10. Suppose a = -1, 5*a + 11 = w*u + u. Does u = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1192.84256 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*q + 480*q = 662*q + 48720 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 43. Let n be (-3 - 0) + -3 + f. Calculate the highest common divisor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95\/27 in 1, -0.2, -0.21, 4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/2431 (b) -1 (c) 0 (d) -4 (e) -498\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-576)\/(-558)*30*(-17)\/(-2040)?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3803603, 3803385, 3803167, 3802949?\nAnswer: 3802731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2622522311 + -2?\nAnswer: -2622522313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Suppose -3*k = h + 2*h - 12, 8 = 2*h - 3*k. Suppose l = 5*l - h. Solve l + 2 = f*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 + 499 + 35*v - 83 - 39*v.\nAnswer: -4*v + 650","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.119 - 4. Round r to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 25*x**3 + x**2 - x + 1. Let u be l(1). Let v(p) = 2 - 1 + u*p - 27*p + 7*p**2. Give v(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20121534649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742905?\nAnswer: 3, 5, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7479*m**3 + 8867*m**2 + 24*m + 24. Let o(z) = -2*z**3 + 2*z**2 + 2*z + 2. Let u(l) = -n(l) + 12*o(l). Find the third derivative of u(y) wrt y.\nAnswer: 44730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125) + (sqrt(125) - sqrt(125)*-1) + sqrt(720)*-1 + 0 + -5)**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/((f**(-1\/8)*f)\/f*f))\/f*f**(-7)\/f)\/((f\/f**(-7))\/(f*f**(-1\/7)*f)))**(-31))**22 assuming f is positive.\nAnswer: f**(286781\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 1. Let m be r(1). Suppose 4*a = -3*w + 31, 0*w + w = -5*a + 25. Let u = 1 - w. What is the biggest value in m, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -7. Let y = 107 + -100. Let g = y + q. Which is the third smallest value? (a) g (b) 5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnnb when four letters picked without replacement from bbnbnbnwbbnbww?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (59 - 10) - (-11 - (1 - 21)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 380688 divided by -8\nAnswer: -47586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.61.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171 - 4462.0288694.\nAnswer: -4633.0288694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.4. Suppose h + 46 = 48. Let r = 13 + -9. What is the biggest value in r, f, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*y - 5*t, t = -t + 2. Let a be 1*y + 20\/5. Let n be (15 + a)*16\/3. Calculate the greatest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15042 and 981.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300 (base 4) in base 15?\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 356\/90 + (-5166)\/3321 + (-24)\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 8*r - 3. Let x be p(-6). Let s be -3*(-2)\/(-21) - (-256)\/504. What is the biggest value in -2\/5, -1\/4, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001776 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 84*o**4 - 164*o**4 + 81*o**4 + 3*o**2 to the form y*o**3 + u + w*o + q*o**4 + d*o**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/13)*m)**(-1\/13)\/((m*m**(14\/9)*m*m)\/m*m*m\/m**23))**(-27) assuming m is positive.\nAnswer: m**(-79167\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**2 + 6*a + 109. Suppose -28 = -u - 0*f + 5*f, 0 = -u - 5*f - 12. Give z(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 3 = -9*a. Suppose -3*o + 246 = a*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -5*n - 3*s, -n + 7*s + 36 = 11*s. Let o be (-77)\/n*2\/(-11). Let u = 23 - 26. What is the nearest to 4 in o, -5, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: d5 (base 16) to base 11\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785481, 1570688, 2355895, 3141102, 3926309?\nAnswer: 4711516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. Suppose -q*p + 12 = 5*c - 9, 2*p + c - 9 = 0. Are 2 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - 4\/(-12). Solve -g + 4*g - 3 = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35117*f*n*v + 2*f*n - 47*f*v + 7*f + 163358121*n + v wrt f?\nAnswer: 35117*n*v + 2*n - 47*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -106. Sort i, 1, 0, -1 in decreasing order.\nAnswer: i, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1091500 + 1?\nAnswer: -1091499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -277, -11, 7, 0, -3.\nAnswer: -277, -11, -3, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 5, 4, -2 in decreasing order.\nAnswer: 5, 4, -2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*r - 236, 2*r - 34 = -a + 30. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -18*g + 150. Let a be s(9). Put 0, a, 1 in decreasing order.\nAnswer: 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(539) + (5 + sqrt(539)*1)**2 + (sqrt(539) + 1 + -1)**2)*5 + -3.\nAnswer: 770*sqrt(11) + 11027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19193046, 19193040, 19193034, 19193028?\nAnswer: 19193022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11089192967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0444045 + 1644982.\nAnswer: 1644981.9555955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59451535 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 0.8, -3284, 0.13?\nAnswer: -3284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/56 and 97\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 573 + -570. Solve -4*w - 4*n = 0, -3*n + 5*n = t*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136641*s**4 - 2014*s**2 - 2*s + 2 wrt s?\nAnswer: -3279384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 73\/2 (c) -3 (d) 2\/11 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 5 + 2*b**4 + 5 + (b**3 + b**4 - b**3)*(-1 - 1 + 3).\nAnswer: 3*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256940 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 p(n) = n**2. Let s(l) = l + 10. Determine p(s(d)).\nAnswer: d**2 + 20*d + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4184.302 grams?\nAnswer: 4184302000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25166 and 101116701.\nAnswer: 101141867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2666250?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49662103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -12. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let b(c) = 799*c + 119. Let k(a) = -20*a - 3. Let j(w) = 3*b(w) + 119*k(w). Calculate j(u(v)).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -3. Let r(k) = -k**2 - 4*k. Let y be r(w). Suppose -s = -y - 1. What is the smallest common multiple of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -39, -61, -101, -165, -259, -389?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)\/v*v)**(2\/61)*(v\/(v*v**(-1\/3)))\/v**(-1) assuming v is positive.\nAnswer: v**(1720\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa (base 16) to base 9.\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - w)*(-24*w**2 - 46 + 46)*(5*w - 4*w + 0*w).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 divided by 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1727412, -1727585, -1727758, -1727931?\nAnswer: -1728104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262310047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose 4*f = d + 4. Calculate the common denominator of 19\/8 and (-295)\/(-40) - f - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 738.3 + -741. What is the second smallest value in -2\/11, -0.1, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1194078400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 143. Let x = 68 + w. Let i + 8 - 4 + 2*i**x - 4 + i**3 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 25 = -5*p, 4*p = k - 4*k + 17. Suppose -2*q + 8 = -k*o - 1179, -5*o = -2*q + 1185. List the prime factors of q.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (2*-1*sqrt(133) + sqrt(133) - sqrt(133)))*-5)\/(sqrt(84)\/sqrt(3) + (sqrt(126)\/sqrt(3))\/sqrt(6)).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 0.1 (c) 1525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18495 and 113073?\nAnswer: 697095045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -8, -s + 3*x - 24 = s. Let u = s - -25. Let f = u + -1. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*b - 84, 0*b + 41 = 3*d - 4*b. Let c = 346 - 518. Let h = c - -343. What is the highest common divisor of h and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/((-1)\/(-5)). Let i be 64\/110 - 4\/22. Is v at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4197 - 2151. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/6 (b) -0.45 (c) -0.4 (d) -302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - 403634?\nAnswer: -403667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5550 = 4840*h - 4835*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*n - 1538 + 1510 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 + 201682. Let l(w) = -4*w. What is l(g(i))?\nAnswer: 28*i**2 - 806728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*t - 16 = -0*b, -12 = b + 4*t. Suppose -m + 2 = m, -b*r - 4*m = 144. Let n = r + 119. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + t**3)*(t - t - t).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -149285 (b) 2\/11 (c) 2\/717\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -16 + 8 + 7 + 41 + 15 + -15.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 42\/5*x + 2\/5*x**2 = 0. What is x?\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124a2b1 (base 13) in base 9?\nAnswer: 11656251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12878?\nAnswer: 2, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + t**2 - t**2 + 0*t**2.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30\/97? (a) -4 (b) -2\/91 (c) -7\/11 (d) -2\/3 (e) 3 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 37*z**2 - 14*z - 19. Calculate the remainder when h(-18) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 - (0 + 4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -56 - (181 + -123).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.2 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27197 or -27168?\nAnswer: -27197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/1260 and 69\/431585?\nAnswer: 15537060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 3. Let l(k) = 3*k**2 + 64*k + 23. Let r be l(-21). Which is the nearest to s? (a) 0.3 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91117 - 91117.00114682. Round u to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.142071+106469\nAnswer: 106469.142071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 16 = -5*k, -4*k + 4 = 5*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 362979.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -71. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5037 + -40381\/8. Let b = -263915\/9 - -29353. Let q = b + -1526\/45. Find the common denominator of f and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + h - 2*h - h + 6*h + (-2 - 2 + 3)*(-19 + 19 - 3*h) + h - 2*h + 4*h - 4*h + 0*h + h + (5 + 0 - 3)*(-h + 0*h + 0*h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 - 3*j**3 - 3*j**3 + (58 - 3 - 1)*(-j - j + j)*(j**2 - j**2 - j**2).\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -392 = -r*d + 590. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*t + 63 - 154*t - 61.\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 5 - 8 = 0. Let k(g) = 3*g + 6 - 5 - q. Let u(n) = -n**2. Determine k(u(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*r = -3*n, -4*n + 3*r = -17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(117) + -3*(sqrt(117)*-2 + sqrt(117)) - sqrt(117))\/(sqrt(324)*2 + sqrt(324)) - (-4 + (sqrt(1573) + sqrt(1573) + 0)*4)))**2.\nAnswer: -2108*sqrt(13)\/3 + 3611053\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/((-4)\/(-36)). Let v = b - 10. Solve -4*x + v*i - 2 = 0, 4*x - i - 3*i + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448173 greater than or equal to 447472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 0. Let j = i - -117. Let v = 121 - j. Is 32 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.227 + 0.227. Let l(f) = -19*f**2 + 3*f + 1. Let o be l(-4). Let v be ((-6)\/o)\/(2\/10). Which is the second smallest value? (a) d (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/60 - 2*b**2. Let r(h) be the second derivative of h**4\/12 + 2*h. Give a(r(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 7. Let u be q(7). Let g = u - 7. Suppose i - b + g - 9 = 0, -6 = -i + 2*b. What is the greatest common factor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15995285?\nAnswer: 5, 37, 86461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:25 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -0*m + 2*m, 2*m + 2*c - 8 = 0. Suppose -4 = 69*l - 71*l. Suppose -n = -5*y + 648, 3*n = l*y + m*n - 255. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1378087527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, 90, 272, 528?\n\"Answer: 37*s**2 - 3*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -12*y. Let i be (-6)\/(-39) + (-31)\/(-52). What is the closest to y in 1, i, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*k + 3654*f**2*k + 6*f**2 + 12150*f*k + 6*f wrt f.\nAnswer: -12*f*k + 7308*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42561?\nAnswer: 3, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53313 - 0.2312?\nAnswer: 53312.7688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + 51013?\nAnswer: 51121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162520519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 514, 765, 1014, 1261, 1506?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -y + 3*y, 81 = o + 5*y + 102 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 14380, 0, 7 in decreasing order.\nAnswer: 14380, 7, 0, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(210))\/sqrt(6))\/(((sqrt(112) - sqrt(112)*3) + sqrt(112))*3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -89*l**3 - 7*l**2 + 7*l + 7. Let i(f) = 44*f**3 + 3*f**2 - 3*f - 3. Determine -7*i(n) - 3*p(n).\nAnswer: -41*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*j**2 - 47*d**2*j + 111*j**2 + j wrt d.\nAnswer: 2*d*j**2 - 94*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2097)\/195021)\/(((-21)\/18)\/(-7))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 40. Suppose -4 - 28 = -z*f. Find the common denominator of -29\/33 and (f + (-795)\/108)*2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16) - 189\/4. Let g = 55 + l. What is the smallest common multiple of 9 and (-1 - (-44)\/g)*6?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 3*b + 6. Let c be (-50)\/13 + (-24)\/156. Let l be w(c). Calculate the highest common factor of l and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 3 = -4*i. Let v = 10 + i. Suppose 4*c = -v*c + 16. Calculate the greatest common divisor of 16 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 13 - 1644*r + 9.\nAnswer: -1644*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 9112816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29213 divided by 8354.\nAnswer: -29213\/8354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*y - 451*y = -7848. List the prime factors of y.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2\/689, 1114, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/45 and -39\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -24. Let v be -3 + 8 - s\/(-2). Solve 4*k - v*b = 2, -k + 2 = b - 3*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(4 + 0 + 5)*(-r + 3 - 3).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 10 (c) 0 (d) 2\/135 (e) -9.4 (f) 5 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*s + 280 = 0, 27*s + 6 = 21*s. Calculate the remainder when 1650 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from {n: 1, k: 1, j: 1, g: 2, a: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16580*y - 4*d + 52 = 16576*y, 5*y - 4*d + 49 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 40 - 14 = 0. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23696.75 millilitres to litres.\nAnswer: 23.69675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 b when four letters picked without replacement from {q: 1, b: 4, l: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:43 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4 + (-6*(2 + sqrt(208))*-3)**2 + 0)*3 + 5).\nAnswer: 62208*sqrt(13) + 824228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 392016 divided by 130672?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(9*r**2 + 2*r**2 - 5*r**2 + (0 - r + 0)*(r + 0*r + 0*r) + (1 - 1 - 2*r)*(r + 3*r - 3*r) + 3*r - 3*r - 2*r**2).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from oooopoooopop?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*y - 3*y - 22, -4*y + 136 = 4*i. Let x be (-66318)\/i*(-6 + 2338\/390). Let s = 378\/65 - x. Calculate the common denominator of 57\/8 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.168 - -0.3\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.2 + 96.2. Let a = c + -90. Is 7 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -977\/8 + 122. Let o be 2\/(-6)*(3 + -5). Which is the nearest to o? (a) 1\/3 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 4 - 8*v - 5 + 8. Let i(c) = -c + 13. Let u be i(6). Let w be a(u). Solve -3*t + 2 + 7 = w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37252 at least 37253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -24*y + 284. What is o(10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.3, -2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 6 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17037664 by 532427.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 300 (b) 0.2 (c) -1\/11 (d) 7.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 38. Differentiate 2*y - 18 + r + 0*y + 10*y with respect to y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*g**2 - 1075*g**2 - 1209*g**2 + 3584*g**2.\nAnswer: 275*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-540))\/(-5*2\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 49. Let o(b) = -4130*b. Give o(c(v)).\nAnswer: 24780*v + 202370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:00 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 2 + 0*s + 0*s + 1.\nAnswer: -8*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 1. Let n(o) = -4*o**2 + 3*o + 7. Calculate 6*f(u) + n(u).\nAnswer: -4*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {a: 1, h: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 3*a - 6, 0 = 4*a + 4. Let p(y) = -y - 1. Determine p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6 and 17\/20610.\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2103784*t - 32934. Let l(h) = -511*h + 8. Let v(x) = 4*a(x) + 16467*l(x). Let i(d) = 3*d**2. What is i(v(u))?\nAnswer: 747003*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 69544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2 - 594*j - 42904 = 0.\nAnswer: -173, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796300809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 2*p + 4. Suppose -4*l + 7*l - 9 = 0. Let j be d(l). Let a(r) = -2*r**3 - r**2 - r - 1. Let z be a(-1). Is z greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/17)*(w**(-28)\/w*w)\/w assuming w is positive.\nAnswer: w**(-497\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4973990 (base 10) to base 11\nAnswer: -289803a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-200)\/(-75)*(-6)\/(-4). Solve -m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 15, -11, -57, -129?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 90*j - 2397.\nAnswer: 3*(j - 47)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 99*g**2 - g + g**3 + 2 - 2*g**3 + 1 + 90*g**2 in the form o + b*g**3 + s*g**2 + z*g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5494728 rounded to 1 decimal place?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 25. Suppose c*u - 102 = u. What is the greatest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -242.8353 and 3?\nAnswer: -728.5059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 1\/2*x**6 + 0*x**2 - 16 - 3\/4*x**4 + 2*x**3 - 6\/5*x**5 + 0*x. Find m, given that q(m) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 4*h - 11. What is the tens digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 9*j + 1 = l, -13 = -5*j - 4*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 - (3 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 4*x + 3. Let k be s(-4). Let n be 3\/4 + (-11)\/4. Put n, 1, k in descending order.\nAnswer: k, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 times -0.0508?\nAnswer: -76.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s + 160. Let a be z(-10). Solve 33*c - 10*c + 23 = a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*m - 3*m + 3*m)*(2 + 2 - 5) + m - 2*m - 1 + 0*m as v + k*m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11025826 at most 11025766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -9. Let h(w) = -w**3 + 8*w**2 - 7*w + 8. Calculate the smallest common multiple of h(l) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-11)*-11 - -3. Solve -g = 5*s + 4*x - 22, 3*s = 5*x - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4*s**2 - 2*s - 2. Let l be (-5)\/10*-4 + 13. Suppose -9*t = -4*t - l. Let j be k(t). Which is the closest to 1? (a) -0.3 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*f**6 - 2*a*f**2 - 1071*a*f + 2*a - 63*f**6 wrt f?\nAnswer: 360*a*f**3 - 7560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 26\/5 (c) -4 (d) -221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3724*h + 11124*h - 3706*h - 3712*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 + 275 - 2428*y - 134)*(-1 - 2 + 6).\nAnswer: -7284*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250*r**3*x + 1405*r**3 + x wrt x.\nAnswer: 250*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -254166, -508427, -762686, -1016943, -1271198, -1525451?\n\"Answer: q**2 - 254264*q + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -713922*v**5 + 5*v - 2517?\nAnswer: -14278440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1365 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - (-7 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/4257545 and -14\/358045?\nAnswer: 430012045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**3 + 5*a**2 + a - 4. Does 14 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -3*g - 0*g, -5*g - j - 1 = 0. Let p(x) = -x**3 - 2*x**2 - 3*x + 7. Let a be p(g). Solve -f - 1 = -5*w, 2*w - 3*f = -a*f - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40025009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 - 1979*k**3 - 982068*k**2 - 2920528*k + 3904576 = 0.\nAnswer: -988, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045412490 to the power of 1\/3, to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13314*u**3 + 26625*u**3 - 13310*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*f + 4*f - 21, -4*f - 5*v = -25. Let y(o) = -o**2. Let x be y(3). Let s be ((-8)\/(-78))\/(6\/x). Which is the biggest value? (a) f (b) s (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - 3\/(-3)*-3. Is 16256\/40 - 6\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3*o + 3*o + (3 + 0 - 2)*(-o - 8*o + 2*o))*((-2*o + 1 - 1)*(-1 - 1 - 1) + (2 - 2 - 2*o)*(0 - 5 + 3)) to w*o**2 + a + t*o and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 25*y + y = -77948. What is the remainder when y is divided by 310?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:06 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z**5 + 43*z**4 + 1579*z**3 + 2927*z**2 - 1911*z + 270 = 0. What is z?\nAnswer: -5, -3, 1\/4, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 75. Suppose -2*x - 5*r = -287, 2*r = -0*r + 10. Let z = s + x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14304\/203 or -71?\nAnswer: -14304\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + (-2 - -9 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyynnynnynyn. Give prob of sequence nn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4825225 rounded to two decimal places?\nAnswer: 3.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 22 + 161 = q, 4*t = 2*q - 360. What is the greatest common divisor of 348 and q?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - x = 7747, -x = c - 1939 - 642. What is the remainder when c is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -38*m**2 - 27*m + 3. Let s(y) = -11*y**2 + 2. Calculate -f(v) + 3*s(v).\nAnswer: 5*v**2 + 27*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1*(-6)\/(-4). Let w(r) = 9*r - 3. Let s(v) = 19*v - 6. Let o(a) = 4*s(a) - 9*w(a). Let b(h) = -4*h + 2. Let c(q) = 4*b(q) - 3*o(q). What is c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1334 + -5369\/4. Calculate the common denominator of -50\/7 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30689, -61444, -92199?\nAnswer: -122954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(192) + 4*(-2*sqrt(6) + sqrt(6)))*-3)\/(sqrt(147)*1*-4*3))**2.\nAnswer: 225\/6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30043945 to the power of 1\/2, to the nearest integer?\nAnswer: 5481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/2*(-87)\/(-435).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 67*i + 6. Let n(v) = 8241*v + 737. Suppose -33*l + 83 + 126 = 11. Determine l*n(f) - 737*z(f).\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -74667\nAnswer: 29866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.5 + 10. Sort 0.3, h, 5.\nAnswer: h, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 10. Let t(p) be the second derivative of -p**4\/12 - 7*p**3\/6 - 5*p**2\/2 - 10*p. What is the remainder when 8 is divided by t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r - 26231 = -27599 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**3 - y + 7. Let a(t) = 4*t**3 - 3. Suppose 85*p + 264 = 91*p. Let n = 49 - p. Determine n*a(x) + 2*h(x).\nAnswer: 2*x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d4 (base 15) in base 3?\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.25 (b) -957 (c) -9\/10 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -4*f + 2*s, -2*s + 39 = -2*f - 27. Is -28 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 191*h**4 - 280?\nAnswer: 764*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 38*z**2 - 10*z + 12. Let j be n(11). What is j rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13238 - -20059. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 248 + 250 - 498. Let r(f) = -4*f**2 - 3. What is r(o(d))?\nAnswer: -16*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/(m*m**(2\/33)))**11 assuming m is positive.\nAnswer: m**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/24 - ((-219)\/(-2))\/(-3). Calculate the common denominator of -113\/54 and (-115)\/z - (16\/(-36))\/(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 14}. Give prob of picking 3 g.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-6))\/(r\/(r**(-2)*r)))\/(r\/(r**4*r)*r\/(r**(-6)\/r)))**(-2\/3) assuming r is positive.\nAnswer: r**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1230.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10101011110?\nAnswer: 10101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(11\/5))**(-15)*(k**9*k)\/(k*k\/k**(-1\/9)) assuming k is positive.\nAnswer: k**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k**3 - 19*k**2 + 9*k + 14. Let j be 6\/(-15) + 7\/((-35)\/13). Let y(b) = -5*b**3 + 7*b**2 - 3*b - 5. Let h(n) = j*d(n) - 8*y(n). Give h(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - b = -11 + 3, 0 = 4*u - 3*b + 4. Suppose 0 = s - u*s + 220. Suppose 0*y = 5*y + s. Round y to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110.809 * 0.056.\nAnswer: -6.205304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 52\/8193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.042\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.1433861?\nAnswer: -0.07169305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w - 1. Let r(g) = -g**2 - 1. Let o be r(-1). Let y be m(o). Solve -f + 4*x = -14, f - 5*x = -3*f + y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*b + 6 - 3, -3*b = 3*t - 9. Let m(f) = -3*f - 8. Let y be m(-5). Let u(v) = -y*v + 3*v + 2*v. Calculate u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 86*l - 16. Is b(-50) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -5, 0.36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**3 + c**2 - 3*c + 2. Let g(b) = -b**3 + 9*b**2 + 1. Let s be g(9). Let n be x(s). What is the greatest common factor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 18 = 6. Solve 0 = 3*s - 7*w + 2*w + 34, g*w - 11 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 2*c - 3. Suppose 62 = 61*j + 1. Let h = -4 + 7. Suppose 5 + h = 4*r. Let s(g) = g**2 + 1. Determine j*m(w) + r*s(w).\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 393 + -385. Calculate the remainder when (-2)\/(((-6)\/38)\/(12\/k)) is divided by 3 - (-1)\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:25 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1687164, 1687046, 1686928, 1686810, 1686692, 1686574?\n\"Answer: -118*v + 1687282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 11, -1, -2, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (8725 - (3 + (-3 - -4))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 4*w**2 - 5*w + 5. Let z(a) = 2*a**2 + 2*a - 2. Let s(h) = -3*i(h) - 7*z(h). Let b be s(1). Solve -2*o + b = -7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 - 165*j - 1432. Determine a(30).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + 7 + -36 + (-28 - -9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -54 + 180. Let a be (3\/(-2))\/(21\/x). Solve 7 - a = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s - 6 + 6)*(-3 + 1 + 5)*(4*s**3 - 4*s**3 - 2*s**3).\nAnswer: 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297 + (2 + 10)\/2.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33528 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 912*a - 22. Let q be g(2). Calculate the greatest common factor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*p = 56, p = -5*q + 63 + 7. Suppose m + 2*m + 24 = 3*v, -m + q = v. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 295 = -1910. Suppose 251*r = t*r + 5226. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000524044395 rounded to six decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f - 1. Let j(o) = -o**3 + 4*o**2 - 3*o + 1. Let g be j(3). Let m(h) = -9*h**2 + 3*h + 2. Let n(k) = g*m(k) + q(k). What is n(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40524 divided by 3377\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 811440?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4778 bigger than 4778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524746925?\nAnswer: 5, 1201, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.3, 2\/5, 1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 71*t**2 - 2*t - 1. Let n be b(-1). Let d be n\/5 - 3\/(-5). Solve -3*c - c = 3*p + 8, 5*p = -5*c - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 41 = -5*d, -321*d + 317*d = -2*s + 2. Suppose -x + 3*x = 118. Suppose 1 = -5*j - x. Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 1268*r + 1268*r + 53 as y*r + a*r**2 + m and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54175 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 40\/17, -0.3, -4, -1\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -7*w**3\/3 - 7*w + 1. Find the first derivative of g(o) wrt o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/40836027 and -25\/39387.\nAnswer: 775884513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m = -19*m - 973 + 353 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(52) + sqrt(13) + 4) - (4 + sqrt(117)))**2 - ((sqrt(117) - (2*sqrt(117) + sqrt(117)))\/sqrt(9) + (sqrt(468) + 0)**2).\nAnswer: -79 + 82*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 19, 28, 37?\n\"Answer: 9*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 122. Let r = g - 88.8. What is the second biggest value in 0.1, r, 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 4*y + 2. Let i be m(-2). Let f = i + 1. Suppose -5*u = -f*u + 4*k - 28, 4 = 2*k. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r + 40. Let i(f) = 543 + 768332*f + 540 + 541 - 1632. Let j be i(r). What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 + 15\/(-4). Let h = -2\/121 + -20\/121. Put 4, o, h in ascending order.\nAnswer: o, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*f**2 - 2*f**3 + 31*f**2 - 4*f to the form h + v*f**3 + x*f + y*f**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -7) - (-4 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -21*f**5\/20 - 19*f**4\/8 + f**3 + 3*f**2 - 12. Factor k(y).\nAnswer: -3*(y + 1)*(21*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 16881*f - 320388. What is i(-19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26443, -27119, -27795, -28471?\n\"Answer: -676*c - 25767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21474374 to the nearest integer?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/4*(-42)\/7. Calculate the highest common factor of 38 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 7*x**3 + 3*x**2 - 4*x**2 + 3*x**2 to the form q*x + u*x**2 + d*x**3 + t and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000106649 to 6 dps.\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((((-84)\/45)\/(-7))\/((-2)\/(-10))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/168 and 28\/3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -6976 in descending order.\nAnswer: -1, -4, -6976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001671 rounded to seven decimal places?\nAnswer: -0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3664920 minus -5534?\nAnswer: -3659386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/222)\/(-6 + 2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 79 + 97 = -n, n + 8 = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*a**2 - 77*a**2 - 34*a**2)*(-2*a - 3*a + 2*a)*(6 - 4 - 4).\nAnswer: -510*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 2*n - 5. Let d = -185 + 186. Let z(v) = -40 + 13 + 14 + 14. What is d*x(k) + 5*z(k)?\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276*m**2*n*p**2 + 6*m**2*p**2*q + 11*m**2*p - 18*m*n*p**2 + 3*m*p**2 + 82*n*p*q + n*q wrt m.\nAnswer: -552*n*p**2 + 12*p**2*q + 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451 and 1894387?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4292 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*z + 2053 = 2074, -4*p + 4*z = -28 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1232 and -383406.\nAnswer: -382174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-33))\/(320\/3072).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 5. Let g(k) = 5*k - 11. Let q be -2 + 5 + (-5)\/1. Let p be 20\/6 - q\/(-6). Suppose 4*i - 5*i + p = 0. What is i*g(v) - 7*m(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-9)\/((-93)\/31). Suppose k = -g + 44012, i*g - 220070 = -k - 4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + k**2 + 2*k**2 + (1 + 2 - 4)*(0*k**2 - k**2 + 2*k**2) - 3*k**2 + 0*k**2 + 0*k**2 + 15*k**2 - 24*k + 28*k - 24 + 27.\nAnswer: 12*k**2 + 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*m + 65 = 0, 8*i - 52 = 4*i - 5*m. Solve 3*b + 10 = i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 33*t + 11. What is the tens digit of i(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(5)*-4) - ((sqrt(228)*4)\/sqrt(12) + sqrt(19)))**2 - (-1 + sqrt(114)\/((sqrt(120) + sqrt(30))\/sqrt(5))).\nAnswer: -sqrt(19)\/3 + 8395\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 496*z**3 - 3*z**2 + 3*z - 2. Let u be s(1). Calculate the greatest common factor of 114 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -z - 1836, -3*k + z + 1228 - 128 = 0. What is the remainder when k is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451931, -1807072, -4065641, -7227638, -11293063, -16261916, -22134197?\nAnswer: -28909906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 653498 and 12?\nAnswer: 3920988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 27 - (-1 - 9)) + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 12*c**2 + 21*c + 10. Let f be m(-10). Let t be 700\/22 + f + 4\/22. Let w = t + -20. Calculate the remainder when 47 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and -1.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -50. What is the second biggest value in 1\/2, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/2 (b) 0.2 (c) 1 (d) -0.3277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/21)\/(10 - 13)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1596\/(-15))\/((-54)\/(-117)). Let a = -153817\/660 - z. Calculate the common denominator of a and -49\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose -3*g = 3*z - 78, 2*g - z - 3 - 40 = w. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 - 4 - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/21*32\/(-40). Let j = -1\/17 - 12\/85. What is the nearest to -1\/4 in j, w, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1936954mm?\nAnswer: 0.0000001936954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w**2 + 6*w - 9. Let b(x) = 4*x**2 - 2*x + 3. What is 17*b(j) + 6*h(j)?\nAnswer: 2*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 430 = -z + 477, -4535 = -5*x - 4*z. Suppose -2*d + 3*g + 562 = -343, -2*d + x = -5*g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13600, -13595, -13590, -13585?\n\"Answer: 5*g - 13605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.8332486 - -0.5\nAnswer: -2.3332486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-3)*168\/70. Let n = t + -6. Solve n = -2*g + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y - 5*y**2 - 4*y**2 - 9*y**2 + 10*y**2. Let b = -13 + 9. Let h(l) = 3*l**2 - 3*l. Let o(x) = b*c(x) - 11*h(x). Factor o(z).\nAnswer: -z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1086939\nAnswer: -108693.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -7 - (1776\/(-8) + 2 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -640380 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8702 divided by -229.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -42004*l**2 + 2 + 3*l - 2*l**5 + 3*l**5 + 42002*l**2 - 4*l**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1877 - 1876. Put 14, h, 40, 2, 3 in descending order.\nAnswer: 40, 14, 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let u = g - 0.5. Suppose -13 = -y - 8. Sort u, y, 0.3 in increasing order.\nAnswer: u, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1087 - -1086. Sort 0, 4, o, -76.\nAnswer: -76, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/7 (c) 0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -30) + (1 + -3 - (30 - 33) - 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 1 - 1)*(0 + 5 - 3) + 1 - b - 1 + (19*b + 36*b - 33*b)*(0 + 3 - 2).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:14 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 681 (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/5)*z*z*z)\/z*z**(-2\/3)\/z)\/(z**11\/z**15) assuming z is positive.\nAnswer: z**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-43)\/(s*s\/s**(-1\/8)*s\/(s**25\/s*s)) assuming s is positive.\nAnswer: s**(1551\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*q - 2 = 0, 8*l - 9*l - q - 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*t**2 - 6*t**2 - 4*t**2 to the form i*t + p*t**2 + j and give p.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 85 = 3*g - 95, 0 = 4*i - 4*g - 40 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.599433 years to decades.\nAnswer: 0.5599433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:41 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52616, -105231, -157846?\nAnswer: -210461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 m when four letters picked without replacement from mmbbbbbmbbmbbm?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/7 + 1088280*f\/7 - 27204500\/7.\nAnswer: -4*(f - 272045)*(f - 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let a(r) = -r**3 + r**2. Let o be a(w). What is the derivative of n + o*n + n - 1 + n wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001100101001111 (base 2) to base 14.\nAnswer: -2a287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 10, 17, 30, 49, 74, 105?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/322*-2*(161 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 104*f**3 + 85*f**2 - 58*f - 51. Let l be b(31). What is l rounded to the nearest ten thousand?\nAnswer: 3180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = k + 2*s - 93, 0 = -3*k + 4*s + 240. Let w be (-10)\/25 + k\/10. Suppose 29*u - w = 28*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 6:03 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/281683 and -1\/1645.\nAnswer: 463368535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17557, 35111, 52665, 70219?\n\"Answer: 17554*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-63) + (-4)\/6. Let u = -1.25 - -39.75. Let p = 38 - u. What is the third biggest value in b, 0, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 41 = -16. Suppose 4 = -5*i + 4*g, x*i - 3*i - 2*g = -2. Suppose -3*u = -i*u - 114. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1834*a + 38*a + 24541 - 253538 = 963*a for a.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24*20528\/17962?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 + 2. Let k(l) = -l**2 + 2*l + 11. Let b be k(5). What is the least common multiple of 8 and s(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*v + 280 = -94*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 527622641 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1543 (base 6) to base 3.\nAnswer: 120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**2 + 29*o + o**6 - 29*o - 8*o**2 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3708333 centuries in decades?\nAnswer: 3.708333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(1\/2)\/(5\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 1136*i - 1145*i = -2284*i + 13, 10*x - 3*i = -73 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 422474 = -279526. What is y rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70099.\nAnswer: 70099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.865 + -4.205. Let l = g - -128.37. Round l to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 divided by -2336839?\nAnswer: -253\/2336839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**4 + 0 + 2 + y**2 - 1 + 3 - 303*y + 291*y in the form c*y**3 + a*y + x*y**4 + b + h*y**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 265, 259, 249, 235, 217?\n\"Answer: -2*y**2 + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 22. Suppose 5*k = 3 + 7. Suppose 3*z - 24 = -k*o - z, 36 = 3*o - 4*z. Calculate the remainder when n is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3215070 and -113\/70.\nAnswer: 22505490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -5012357.\nAnswer: 5012352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 2, m: 1, y: 2, c: 3, u: 10}. What is prob of sequence em?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 20 - 26. Let s be (-2)\/(1*(0 - 1)). Is w greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 31*t**2 + 30*t - 9. What is q(-32)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1009803, 1009804, 1009805, 1009806, 1009807?\n\"Answer: c + 1009802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 446 + 467 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/22)\/((-2)\/24). Let d be 4\/n - (-16)\/6. Let k(q) be the second derivative of -q**3\/3 + q**2\/2 - 2*q. Determine k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**3 + 183*j**2 - 36*j - 76925 wrt j?\nAnswer: -15*j**2 + 366*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g. Let j be t(0). Suppose 4*f = -j*b - 4*b + 8, 5*b - 4 = -3*f. Solve 4 - 1 = f*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 1. Suppose 2*q = -s + 19, 7*q = 4*q + 5*s + 9. Let h be f(q). Sort -2, -1, h.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8878 - -88897\/10. Find the common denominator of b and (-903)\/90 - (-1)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 181 + 535 = 0. Let u(v) = -8*v**2 - 4*v. Let x be u(-3). Let c = j + x. What are the prime factors of c?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141033 is divided by 980?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31724469 to the nearest integer?\nAnswer: 5632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 12:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -132215 (base 7) to base 14\nAnswer: -907c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3\/4, 14, -1\/25, 0?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (129 - 97 - (-20 + 15)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/15355041 and 50\/5499.\nAnswer: 46065123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14161, 14197, 14249, 14317, 14401, 14501?\nAnswer: 14617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3863 is divided by 3829?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -216193446 and 59.2.\nAnswer: -216193386.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 27206330994.\nAnswer: 27206330995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1721 and 704338181.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y**2 - 4*y - 5. Let v(f) = 7*f**2 + 2*f + 3. Let c(d) = 3*r(d) + 5*v(d). Solve c(o) = 0 for o.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 + 8*t - 4. Let y be w(4). Suppose 4*x = 19*x - 1980. What is the greatest common divisor of x and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, 8, -38 in increasing order.\nAnswer: -124, -38, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 196, 228, 260?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 0, -7*x + 4*x + 2575 = -g. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 88 = 8*i. Let t be -2 + 2\/(-4 - -2). Calculate the smallest common multiple of -14*t\/2 - 1 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-6))\/(5\/(-10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41288 divided by 236?\nAnswer: -10322\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 6*m + 1 + (2 + 0 + 0)*(m + 2*m - 2*m) - 4*m + 0*m + 3*m + (-m - 2*m + m)*(-3 + 1 + 0) + 0 + m + 0 - 1 + 10*m - 7*m - 10*m.\nAnswer: -7*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -0.2 (b) 3 (c) 33 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 290387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423769 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 3 in descending order.\nAnswer: 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 6*t**4 + 2 + 0 + 58*t - 4 in the form p*t + r*t**2 + f + k*t**4 + x*t**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26ad - 4?\nAnswer: 26a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*y**2 - 110 + 110 + 2*y**2 - 4*y**2 + y**2 + (4*y + 2*y + 0*y)*(-18*y + 7*y + 5*y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 18 + (-1 - 2) - (-18 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12204321 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -3110220?\nAnswer: -3110223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 2*m - 3*m + (m - 6*m + 3*m)*(-1 - 1 + 1) - 2*m + 9*m - 2*m + (3 + 2 - 6)*(3 + 2*m - 3) to the form x*m + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = -f. Let q(z) = -z**2 + 5*z - 4. Let x be q(3). Find the second derivative of f*w**2 + w + 0*w**x - w**2 wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (8 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 9*f - 10. Let s = -15 - -30. Let c = s + -22. Does 2 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2483 is divided by 120.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6563, -13450, -20143, -26642, -32947?\nAnswer: -39058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46401646 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.669 - 0.081. Let s = g - -3.55. Let w = -0.8 + s. What is the second biggest value in -3\/16, w, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3383, 3459, 3537, 3617, 3699?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, 167, 893, 1621, 2351?\nAnswer: 3083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -15?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*y + 1745*y**2 - 226*y + 1505*y**2 + 6347 wrt y?\nAnswer: 6500*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/19)\/l*l**(-3\/31))**(-18))**(1\/34) assuming l is positive.\nAnswer: l**(4977\/10013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -201800629, -201800628, -201800627, -201800626, -201800625?\n\"Answer: r - 201800630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**4 + 0*w**4 + 2*w**4 + (7 + 11 - 9)*(-6 - 4*w**4 + 6) - 4*w**4 + 0*w**4 + 3*w**4 to h*w**2 + z*w + u + c*w**4 + k*w**3 and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-104)\/(-3) + -1 - 1. Let k = x + -32. Let w = -36.5 - -39.5. What is the smallest value in w, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -618a?\nAnswer: -6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6652.545085319 - -0.5?\nAnswer: 6653.045085319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93177 by 153.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**4 + 1\/20*q**6 + 1\/224*q**8 - 21*q**2 + 0*q**5 + 0*q**3 + 0 + 1\/28*q**7 + 0*q. Factor d(y).\nAnswer: 3*y**3*(y + 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245428104143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/13019648 and 167\/9930240?\nAnswer: 585884160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1245384 and 533736.\nAnswer: 3736152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k - 18. Let j be y(-3). Suppose j = 2*z + 6*z. Suppose -i = -h + 26, -5*h + 0*h - 3*i + 162 = z. What is the greatest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1093 and 1094 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(19\/((-114)\/8))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 15 - 136 - 14)*(i**3 - 6*i**3 + 4*i**3).\nAnswer: 3*i**4 + 135*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:00 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Let r be (0 - 0) + 4\/o. Calculate the remainder when -6*10*r\/(-6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -549\/13 + 17428\/429. Calculate the common denominator of -50 - -52 - (-218)\/24 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4503 and 4541.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 43872*g + 43874*g = 72, -4*o - 3*g - 53 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*j - 134, -y + 28 - 162 = -2*j. Let l = j + -63. Find the second derivative of -9*d - d + 2*d**4 - 6*d**l - 2*d wrt d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*n = 137, 4*n - 132 = -d + n. What is the remainder when d is divided by (-227)\/(-10) + 1 + 60\/200?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 571*g - 931. Let k be y(2). Solve -k*v + 20 = -206*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95577 - 95576.8999975. Let n = y + -0.1. Round n to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87*((-5)\/3 + 2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (27635 - 8)*(-16)\/(-48).\nAnswer: 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let j be (-8)\/(-6)*36\/(-4). Let f = -42 + 27. Let i = j - f. Calculate b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and 896351370898.\nAnswer: 896351370899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(672\/(-18))\/14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-20 - (-1755)\/(-312)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26300 and 23407?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 + 9.79. What is the second smallest value in 4, c, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-51)*(-90)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2*a**2 + 13*a + 141. Let n be h(-3). What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 186172, 372363, 558566, 744787, 931032?\n\"Answer: c**3 + 186184*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4 = 0, -109*o = 3*l - 114*o + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 19 = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {i: 1, n: 1, a: 2, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*t = -50, 5*a - 3*t + 0*t = 45. What is o in -12*o**4 - 3*o**5 - 20*o**3 + 3*o - 4*o - a*o**2 - 2*o + 2*o**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 + 3*w**2 + w**2. Let l(n) = -625*n - 435. Let k(p) = -29*p - 20. Let i(v) = 65*k(v) - 3*l(v). Determine g(i(r)).\nAnswer: 100*r**2 - 100*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*h + 635, -3*l = -4*l + 3*h - 190. Suppose -47 = -2*u - 331. Let i = u - l. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 51759*m. Let x(l) = -1142*l**2. Give x(v(t)).\nAnswer: -3059411240502*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - t + 0*t + 4 + 2*t. Let i(h) = 2*h - 11. Calculate -3*i(g) - 8*r(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 6*x**2\/5 - 288*x\/5 - 2592\/5.\nAnswer: (x - 18)*(x + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 - 566*x**2 = 0.\nAnswer: 0, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p = 381 + 294 - 55 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411506481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 22 - 12 - 68 - 3*q - 19.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 - n + 1. Suppose 5*t = -2*c + 4*t + 2, -2*t = 2*c - 2. Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = 9. Suppose 2*g - q*g + 113 = 0. What is the second derivative of -113 + g - 3*y + y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229 - -0.1397?\nAnswer: -0.0893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -475.20226 - 0.09774. What is j rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 4, w: 8}. What is prob of sequence wgg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 1740*s\/11 - 378450\/11.\nAnswer: -2*(s - 435)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251*i*v + 3*v - 23 with respect to i.\nAnswer: -251*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3564 and 8262?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*u - 11*u. Suppose r + 3*t - 142 = u*t, -4*r + 5*t = -532. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.798342 to 3 dps.\nAnswer: -1.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*b - 379*b = 10255. Is b - (-1 - 21\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16354011 and 3.\nAnswer: -16354008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.4, -94, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 215 = -1196. Let t = w + -208. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**2 - 6272*d - 91728 = 0. Calculate d.\nAnswer: -14, 1638\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 222?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 120 = b. Let i(o) = -3*o - 6. Let d be i(-4). Let z be 61 - 2\/d*3. What is the highest common factor of b and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95322953.\nAnswer: 11, 787793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 3) + -15 + 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -110011001101101110110?\nAnswer: 110011001101110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4102 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198658763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:49 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341 + 342. Is -3 + z - (-2 + -462 + -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(2\/(8\/3)). Let w(t) = -t - 1. Let o(x) = 2*x - 1. Let p(f) = o(f) + w(f). Let l be p(z). Solve 4*d - 15 = 5*a, 2*a - 2 - 10 = -l*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 730654 - 357348. Let y = 732984 - r. Suppose 0 = -3*v + y - 2309678. Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = 5*v - 0*y, 3*y + 6 = 2*v. Let s(b) = -3*b + 28. Is 15 a factor of s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210001000001221 (base 3) in base 15?\nAnswer: eac8d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 - 1279*q**3 - q**2 - 2*q + 9942.\nAnswer: -20*q**3 - 7674*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35*(0 + 32\/20) + 2. Suppose -m - 12 = -14*y. Put -2, -14, y in ascending order.\nAnswer: -14, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281264837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -68. Suppose -9*h + 95 = f*h. Solve 0 = 3*s - 0*s + 2*l + 15, h*l = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2. Let o(s) = -6*s - 4. Let g(r) = 5*r + 3. Let d(q) = -4*g(q) - 3*o(q). What is d(f(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -7 + -4 + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182*k**3*q**3 - k**3*q - k**3 - 316*k**2 with respect to q.\nAnswer: -546*k**3*q**2 - k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1721094.\nAnswer: 2, 3, 79, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 1, 0.2, -1, 3 in ascending order.\nAnswer: -1, -4\/9, 0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 57. Calculate the highest common factor of g and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -403*j**4*v - 2*j**4 - 324*j**2 + j*v wrt j.\nAnswer: -9672*j*v - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*t*w**4 - 8*t*w - 7712830*t + 1656*w**2 with respect to w.\nAnswer: -92*t*w**3 - 8*t + 3312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:39 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -397412\/7 or 0.271?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -14 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-8) + 2)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - z + 20 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:14 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*m - 0 + 6, k - 3*m + 9 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 - 667 = 6*s. Let x = -137 - s. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))\/(h*h*h**7))**(29\/5)\/((h\/(h*h\/(h**(2\/7)\/h)))\/h*h*h*h*h**(-8))**(1\/37) assuming h is positive.\nAnswer: h**(-52307\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -931 - -892. Put 0.3, 1, k in ascending order.\nAnswer: k, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:13 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -292*j**2 + 163*j + 248874 wrt j?\nAnswer: -584*j + 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4159877.\nAnswer: 83, 50119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1823 = 625*m - 5 + 20578 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22297001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*u + 7*u + 1988, -c - 5*u + 474 = 0. List the prime factors of c.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lymmybbbym. What is prob of picking 1 l, 1 b, and 2 m?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (39 + 38 + (-44 - 32)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3239\/6 + 117\/54 + -2. Suppose 5*x**4 + 90*x**3 - 417*x + 1142*x + p*x**2 + 355*x = 0. What is x?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -5*g + 10*j - 51, 9 = j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2430 and 270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21879991.\nAnswer: 7, 43, 157, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-20) + 68\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 4*n**3 + 2*n**3 + n**3 + 2*n**3 - n**3 + (4*n**2 + 0*n**2 - n**2)*(-6*n - 2 + 2).\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + 13 + 17 + -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 7. Suppose b - 20 = 3*a, 39 = -5*a + 2*b + 5. Determine g(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119 and -301.8.\nAnswer: 35914.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 2893989.\nAnswer: 2893989.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -95) + (7 - 2 - (-6 + 17 - 8))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000184625 to seven decimal places.\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxdidgdgdgd. Give prob of picking 3 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08192979 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52404 and 12307?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -22, -37, -58, -85, -118, -157?\n\"Answer: -3*j**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -22. Calculate the remainder when 77 is divided by 21 + -2 + (-3 - n) + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/4))\/j)\/(j\/j**(2\/3))*(j\/(j*j**(3\/4)*j*j))\/j**(-2\/9))\/(j**(10\/3)\/(j\/j**1*j*j**(-1))) assuming j is positive.\nAnswer: j**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, b: 1, u: 1, f: 2}. What is prob of sequence fuf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(2\/30)*(-327)\/545?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 3*g - 4. Let r be z(6). Let n(v) = v**2 + 2 + 8*v**2 - 1. Let t be n(-1). What is the highest common divisor of r and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:30 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h**2 + 42*h + 24. Calculate the remainder when 573 is divided by n(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 59617389?\nAnswer: -59617400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 51*u**2 + 2*u**3 - 4*u**3 + 51*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*n**2 + 8\/3*n**3 - 124\/3*n + 10.\nAnswer: 2*(n - 3)*(n + 5)*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 + 224. Which is bigger: -0.32 or j?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.01924 - -0.01924. Is 45 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/3 (b) -4 (c) 2121426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 10*d + 14. Let z(x) = x + 1. What is -2*r(g) + 20*z(g)?\nAnswer: 4*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -454, -455, -456, -457?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5578751 - 0.56469. Round d to 4 dps.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371 = 96*o + 168 + 148 - 865 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21460739?\nAnswer: 283, 75833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = -71 - 1 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 3*u + 4. Let k be t(3). Let r(s) = -4*s + 3. Let f(a) = -4*a + 4. Let c(h) = k*f(h) - 5*r(h). Differentiate c(y) with respect to y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141924 is divided by 1365?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -16 - 5) + (2 - 5) - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 25*s**3 + 46*s**3 - 3*s + 0*s - 27*s**3 + s**4 as x*s + g*s**2 + c*s**3 + o*s**4 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 3*f**2 + 16*f - 5. Let w be v(-6). Solve 9*c + w = -29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 533 - 517 = 0, 4*r - 2*u - 8 = 0. Suppose 1 = k + 5*f + 2, -f - 1 = 0. Solve -4*n + k + 12 = r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6414158 nanoseconds to minutes.\nAnswer: 0.00000000002735693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1794718, -1794723, -1794728, -1794733, -1794738, -1794743?\nAnswer: -1794748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*j + 2113*j - 387*j - 438*j - 427*j - 431*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 2, b: 6, e: 3, u: 2}. Give prob of sequence ben.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51339952 divided by -12834988.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 9}. What is prob of picking 1 y and 1 r?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.266 + -0.26602. Let i = 5 + -5. Let k = i + x. What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u. Let i(o) be the first derivative of -8*o**2 - o - 636. Give j(i(q)).\nAnswer: -48*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 177*g - 1061. Let m be f(6). Solve m + 11 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87554 and 8006?\nAnswer: 350478662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 1959*i\/4 - 3966.\nAnswer: 3*(i - 661)*(i + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -294960609075+-7\nAnswer: -294960609082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, -72, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -14. Let u = f - -3. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y. Let j be g(6). Let z(r) = -r**3 + 26*r**2 - 46*r - 40. What is the tens digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/4 - 9*j\/2 = 0?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13113, -52528, -118213, -210162, -328369?\nAnswer: -472828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 4, k: 2, v: 8, j: 4}. What is prob of picking 1 j, 1 k, and 2 z?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 634\/(-14) - 10\/(-35). Let t = j - -46. Let p be -1*t*((-1)\/2 + 0). What is the biggest value in -2, p, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2481\/275 + -146\/25. Suppose 3*u - 34 = -q + 3*q, -24 = -2*u + 2*q. What is the common denominator of ((-99)\/u)\/((-15)\/5) and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 20 - 6. Suppose 0 = 4*r + 4*h, 0 = -r - 4*r + 2*h + q. Suppose r*l + 0 = 16. Solve -5*z = -l + 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 1198, 1795, 2392?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 21\/30) + 2. Let j = d - -3\/2. Which is the third smallest value? (a) 0.2 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*k*r - 38*k - 243892*r wrt k?\nAnswer: 43*r - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Let q(y) = -2*y**2 + 8*y**2 + y**2. Give m(q(b)).\nAnswer: 98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 2*h. Is 4 + (h - 298)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pra. What is prob of picking 1 p and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 26 = -5*s. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*v - 11, -5*v + g + 24 = -3*g. Suppose -8*m + v*m = -12. Solve -m = -5*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x + 1. Let y be h(-1). Suppose 6 = 4*u - j, -2*j = 5*u - 4 - 10. Suppose -5*p = y*q - 65, 0*p = u*p - 4*q - 26. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-162)\/4 + -1)\/(103\/(-412)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/11 (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -27. Put -3, i, 17 in descending order.\nAnswer: 17, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 l when four letters picked without replacement from olooollollooo?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/99)\/(2\/(-18)). Let p be ((m + (-38)\/(-4))*2)\/1. Solve -3*o - p - 2 = 3*c, 3*o - 5*c = 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9937247.\nAnswer: 19, 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0447875 litres to millilitres.\nAnswer: 44.7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:06 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148782 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/23 (b) 3\/2 (c) -0.357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163.9 + -163.5. Let u = -10 - -6. Let m be (4\/15)\/((-6)\/(-9)). What is the nearest to m in a, u, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/12)\/((-1)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/612 + (-31)\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let y(o) be the second derivative of -o**4\/4 - o**3\/6 - 41*o**2 + 1025*o. Calculate b(y(k)).\nAnswer: 3*k**2 + k + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3574 is divided by 861.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 2, 1 in increasing order.\nAnswer: -13, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2 - 20 = 0. Suppose t*g - 14 = 16. Let z(d) = 19*d - 5. Let i be z(5). Calculate the highest common divisor of g and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/(-6) - (28 + (-890)\/30)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -27*i**2 + 6 + 3*i + 24*i**2 - 3*i. Let c(x) = 2*x**2 - 5. Let r(w) = 6*c(w) + 5*v(w). Let d(m) = -2*m. What is d(r(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161.1 * 4.\nAnswer: 644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from {m: 1, r: 3, w: 8, j: 2, i: 5}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 13, q: 3}. Give prob of picking 1 h and 1 w.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*1*1.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 4. Let v(j) = -220*j - 1760. What is -1320*l(z) - 3*v(z)?\nAnswer: -660*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7369009, 14738052, 22107095, 29476138, 36845181, 44214224?\nAnswer: 51583267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 157. Suppose -5*r + 3*q + j = 6*q, 0 = -5*r - 4*q + 141. Suppose r*p - 27*p + 8 = 0. Solve 3*g + 4*d + 4 = 0, -4*g = -2*d - 2*d - p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(-3*d - 4*d + 5*d) + 3 - 2 + 0 - 2*d in the form k + y*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-5 + 3))\/(-1). Let g = r - -3. What is the second derivative of -2*b**2 - 6*b - g*b**5 + 2*b**2 - 7*b**5 wrt b?\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-40\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbskhzkzczzkks. Give prob of sequence hksk.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 2*u. Let f be 99\/(-36) - (-2)\/(-8). Give v(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/41 + (629640\/59778)\/(-106).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67095875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u - 4*q + 23, 3*u = 3*q - 3. Find the third derivative of 2*x**4 - u*x**4 - 2*x**4 + 7*x**2 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/9))\/u*u)**(4\/11) assuming u is positive.\nAnswer: u**(40\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.065 - 1.465. What is the nearest to 0.1 in p, 4, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47553 + -22741. List the prime factors of n.\nAnswer: 2, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199 + -188. Let l = y - -19. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*i - 158, -3*i + 0*i - 4*p + 237 = 0. Let q = i + 11. Suppose 4*c - q = 2*c. What is the highest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -37*n**2 - 5*n + 5. Let w(i) = -19*i**2 - 2*i + 2. Calculate 2*a(y) - 5*w(y).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-7)\/84). Suppose -a - 15 = -p*a. Differentiate 17*b**3 - 1 - 15*b**a + 2 with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r**3 + 426*r**2 + 2049*r + 12. What is w(-5)?\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3, 0.38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 2.7. Let s = 11937 - 11935.8014. Let b = s + r. Round b to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*u - 49 + 19, 0 = y - 5*u + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 1. Suppose q = r*q - 8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 29*z**2 + 23*z - 36. Give x(28).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*b - 1152 = -132 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6034*f**2 - 5*f - 13. Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 68\/9 (b) 0.2 (c) -3\/5 (d) -0.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 350*n**2 + 5 + 1610*n**2 - 10*n + 7 - 468*n**2. Let b be w(2). Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -365.\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 10) to base 2.\nAnswer: -1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 - -0.1. Let i = 6.2 - m. Let r be 4\/(0 - -1) - -1. Put i, r, -1\/2 in descending order.\nAnswer: r, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57661764*b - 6400 = -57662020*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**3 + 5*a**2 - 4*a - 14. Let w be j(7). Suppose -w + 1330 = -3*c. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)\/s)\/s)**(-30\/13)*s**(-11)*s\/(s*s**24*s)*s assuming s is positive.\nAnswer: s**(205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Let y be (1 + 31)\/((-12)\/(-20)*20\/30). What is the greatest common divisor of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275*z**3 + 2*z**4 + 549*z - 3744*z**2 + 7511*z**2 - 3767*z**2 wrt z?\nAnswer: 24*z**2 - 1650*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -55854*v + 557. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p + 4. Let j(l) = -2*l**2. Give n(j(x)).\nAnswer: 6*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 3*d**2 - 6*d + 14. What is the remainder when o(4) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.634793 minutes to weeks.\nAnswer: 0.00581694375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5016044.88754 + 43.\nAnswer: -5016001.88754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964 at most 4964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194255 and -0.088?\nAnswer: -17094.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 34 + 31 - 4*h + 4*h**2 + h**3. Let k(y) be the second derivative of y**4\/4 - y**3\/3 - y**2 + y. Give 3*k(o) - 2*v(o).\nAnswer: -2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -361\/6 - -60. Let l = -0.095 - -0.07. Let j = 0.225 + l. Which is the closest to j? (a) o (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/18800 and 88\/3738615.\nAnswer: 299089200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, 2, 4, -1429 in ascending order.\nAnswer: -1429, -38, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 509, 1147, 2041, 3191, 4597, 6259?\nAnswer: 8177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 12*g - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2348606, 4697679, 7046752, 9395825, 11744898?\n\"Answer: 2349073*n - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -360*n**3 + 980.\nAnswer: -1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -92525\nAnswer: 370100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139861907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383479134 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 0 + -4 - (-173)\/(-91). Let h be (30\/(-26) - -1)*4. Let o = h - k. Are -1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/12 + x**4\/4 - x**3 - 5*x**2. Let f(r) = r**2 - r + 1. Determine b(i) + 6*f(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 m when three letters picked without replacement from {z: 1, m: 3, d: 4, p: 10}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 4 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-276 + 233 - 447 - 387)*(-q + 4*q - 4*q)*(q**4 - 1 + 1).\nAnswer: 877*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - g + 2*g)*(1 - 1 - 1 + (2 + 2 - 3)*(2 + 3 - 6) + 1 - 1 + 1 + (-1 - 3 + 6)*(-4 - 2 + 4)) in the form f*g + n and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*q - p, -3*q + 122*p + 66 = 127*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {n: 1, p: 3, u: 1, o: 5, r: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 17*g**2 - 62*g + 29. Let n be w(12). Solve -n*t = -3*z - 7*t - 2, -z = -3*t + 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-16) + 9\/24 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -106*r - 3590. Calculate w(-34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.3, 112, -5\/3, -275 in increasing order.\nAnswer: -275, -12, -5\/3, -0.3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/143168 and -71\/1413784.\nAnswer: 11310272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 77 = 2*s + 143, 4*k + 183 = -3*s. Let n = -6 - k. Is n greater than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7740508 to the nearest integer?\nAnswer: 2782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 12*c - 37. Give g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d = 56*d - 4610. Suppose -2*g + 304 = -3*y - 615, 4*y = 2*g - d. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 20*q - 80. Let g be m(7). Suppose -22*s = -11*s + g. Let h(t) = 2 - 2*t - 3 - 4*t. Calculate h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8300440725 - 0.03.\nAnswer: -8300440725.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121121210 (base 3) in base 8?\nAnswer: 27525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*q + 216 = 0, i - q = 4*q + 92. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12067*q*s**3 - 2*q*s**2 - 7059*q*s - 7*q + 10473*s**3 + 77*s**2 wrt s?\nAnswer: -72402*q + 62838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -24 - -7) + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1824 and 1\/24.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3, -1\/2 in decreasing order.\nAnswer: 1, 0, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 540630 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 - 3\/4*y + 1\/4*y**2 = 0. What is y?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k + 1. Let w be l(3). Suppose 2 = -w*c + 2*c. Let q = 8 + c. What is the lowest common multiple of q and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8162*h**5 + h**2 - 1281 wrt h.\nAnswer: -489720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -979*o + 6. Let k be x(-3). Let i = k + -1856. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5294356 is divided by 1443?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 611357933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7837*w + 13161*w + 9355*w = -366975 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 27\/5. What is the nearest to 0 in b, -3, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Suppose 8*j = -38 - 42. Let g = 22 + j. Let v(d) = -d - 2*d + g*d. Give f(v(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247483 is divided by 1608.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 320 = -w. Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3330\/1295)\/((-2)\/7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295899, 591780, 887661, 1183542, 1479423, 1775304?\nAnswer: 2071185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1880 divided by 140\nAnswer: 94\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2403 + 4805\/2. What is the common denominator of d and -104*(169\/(-42) + 4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(504)\/sqrt(8) - (sqrt(63) + 5))**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 181, 273, 367, 463, 561, 661?\n\"Answer: b**2 + 87*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 8*r. Let q be k(-4). Let i = 43 - q. Calculate the greatest common divisor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 - 3*s - 12. Let j be t(2). Let a be 9\/(-12)*1*-4. Suppose -a*m - g = -104 - 284, 0 = j*m + 5*g - 263. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 14*b**2 - 38*b + 22. Let k be j(-10). Solve d + 9 = 5*x - k, 0 = -5*d + 2*x - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 11*u**2\/2 + 7. Let o(y) = 11*y - 12. Let i(g) = -294*g + 322. Let w(h) = 6*i(h) + 161*o(h). Give w(f(r)).\nAnswer: 77*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/34*(-6)\/(-3)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, d: 9, y: 1, h: 1}. What is prob of picking 1 h and 3 d?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 12 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77402446 is divided by 3870122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c**3 + 234*c**2 + 68*c = 0.\nAnswer: -2\/7, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -u + 33. Suppose u*p = -17 - 3. Let l be (-42)\/p - (-4)\/5. Sort -6, -3, l in decreasing order.\nAnswer: l, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/148 less than 2.069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3*r + 13.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -26390 - 3*s + 5*s**3 - s**3 + 26388. Let h(j) = -j**3 - j. Determine d(o) - 3*h(o).\nAnswer: 7*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1234210 (base 6) to base 4\nAnswer: -100113132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n + 6. Let r be u(14). Suppose 3*y = 4*d - 0 + r, d = 0. Suppose 0 = -5*f - 25, 6*z + 5*f - 55 = z. What is the remainder when y is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152490755 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -12, -2 in ascending order.\nAnswer: -12, -2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 + -0.47. Which is the closest to -0.1? (a) d (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + f)*(-2*f**2 + 2*f**2 - 2*f**2) - 7*f**3 - 1 - 22*f**3 + 112*f + 28*f**3 - f**2.\nAnswer: -3*f**3 - f**2 + 112*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 128*-3\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2092737, 2092675, 2092613, 2092551?\n\"Answer: -62*f + 2092799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -3*z. Let l be (-12 - z\/(-1))\/(-1). Suppose -6 = v - 28. What is the greatest common divisor of v and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 9*n**2 + 10*n + 5. Let o be v(10). Suppose 2*g + 2*g - o*h - 261 = 0, -5*g - h = -348. Let c = 202 - g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**4 - f**3 + f**2 + f. Let n(l) = l**4 + 24*l**3 + 151*l**2 - 2*l. Let h(u) = -2*m(u) - n(u). What is the third derivative of h(z) wrt z?\nAnswer: -72*z - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-18)\/(-2))\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:14 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3))\/(-33) + (-65)\/4*(-3604)\/(-3740)?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {v: 2, b: 2, x: 1, w: 4, z: 6, u: 3}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*((-8)\/64)\/1*1)\/(47\/376).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28656*o**4 + 15812 with respect to o.\nAnswer: -114624*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 6*m**2 - 11*m - 83. Calculate u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(12*k**3 - 8*k**3 - 5*k**3) - k**3 - 3 + 3 + (-2 + 2 + k**2)*(0 - 2*k + 0).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {h: 3, y: 1, z: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1399 + 1737. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103795, 207571, 311343, 415111, 518875, 622635?\nAnswer: 726391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22*g + 313. Let x be h(14). Determine q so that 0 + 1\/2*q**x + 0*q**2 + 0*q + 1\/2*q**3 - q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787 - 2853 + 780 + 1286 + 4*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/367 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -39c5?\nAnswer: -39c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + m)*(-9*m**2 + 19*m**2 - 11*m**2)*(-2 + 6 - 1)*(5*m + m - 4*m + 9*m + 1 + m - 11*m + (3 - 7 + 2)*(-1 - m + 1)).\nAnswer: 9*m**4 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15414 and 1008.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, 1\/4, 2097\/74?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5939*o - 5360. What is the tens digit of a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w - 12 = 0. Suppose -w*z - 10 = -k, 2*z - 5 = -4*k + 49. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/2 + 1359*d**2\/8 + 3707*d\/8 = 0. Calculate d.\nAnswer: -337, -11\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*t = 41477 - 4690, i + 4*t - 12253 = 0. What is the third derivative of 2 + 12273*d**2 - i*d**2 - 7*d**4 + 7*d**3 - 2 wrt d?\nAnswer: -168*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2143*u + 24241 - 59200 - 334291 = 811*u for u.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0. Let m = v - -3.5. Let r = -962.9 + 963. What is the third biggest value in r, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -94. Which is the third biggest value? (a) 3 (b) t (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(208) + sqrt(208))*1*6)\/(sqrt(144)*2*-5*-4).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*p**2 - 11*p**3 + 156*p**2 + 3*p**3 in the form j + a*p**2 + r*p**3 + q*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -445.7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 4. Let m(j) = -6*j - 27. Let v(b) = 27*h(b) - 4*m(b). Let t(u) = 11*u**2. Give v(t(q)).\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 20.9. Let h = s + -7.6. Let u = h + -4.5. What is the nearest to -0.1 in u, 0.3, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + n**2 - n**2)*(3 + 3 - 2)*(41 + 20 + 20)*(-2*n**2 - 2*n**2 + 2*n**2) - 25*n + 25*n + 7*n**5 - 2*n**2.\nAnswer: 1951*n**5 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*w*x - 2*w + 2 wrt x.\nAnswer: -57*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 10d666?\nAnswer: -10d67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*q - 7, u - 9*q - 26 = -4*q. Which is the third smallest value? (a) u (b) 0.5 (c) -1 (d) -0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -477\/422146 - 11872711361\/34827045. Let u = d - -3776\/11. What is the common denominator of 86\/(-336) + (-4)\/14 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 679, 683, 713, 781, 899?\n\"Answer: 2*b**3 + b**2 - 13*b + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5356.75801539 and 3?\nAnswer: 5353.75801539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -1111*w**4\/2 + 638*w + 283. What is the derivative of j(r) wrt r?\nAnswer: -6666*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401039.785 + 400993.7850029. Let f = 46 + c. Round f to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 5*l + 22. Calculate c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 6*r**2 + 4*r + 6. Give s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 40*j + 6 = 0. Is j*(-3 + 3 - 243) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1897, -1896, -1895, -1894, -1893?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 11*i**2 + 3*i + 3. What is the units digit of g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**2 + 2*h**2 - 32*h**2 + 4*h**2 + 0*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + -1)*-2 - ((0 + sqrt(300) - sqrt(300)) + -1)) + 3 - (3 + 4 + 2*sqrt(300) + -4))**2.\nAnswer: -240*sqrt(3) + 4809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1725 + 2215. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*o + 32*o - 8*o)*(-2 + 3 + 9).\nAnswer: 590*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = 6*c - 7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 15. Let a be w(20). Let i = a - 0. Suppose i*d - 1 = 14. Let q(f) = f. What is q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 0*x**5 + 2*x**5 + (8*x - x**4 - 8*x)*(-x + 2*x - 3*x) - 4*x**5 - x**5 + 4*x**5.\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25705140 is divided by 3890?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2842 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75765673 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 6 + (0 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 3 + 3 + -2. Suppose g = 2*o + 3 - 9. Suppose -72 = -o*b + 9. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343 - -191. Let n be (57\/y)\/((-2)\/(-4) + 1). What is the second smallest value in 0, 3, n, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:29 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0 + -3 + -2. Let z(x) = x**2 + 4*x + 86. What is the units digit of z(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - 25. Is 10 a factor of (-2460)\/r - (4\/7)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -147 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 63. Which is the closest to q? (a) 0 (b) -4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8069 + 0?\nAnswer: 8069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(0\/(-11) - (-3)\/(-3162)). What is the highest common factor of g and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234156 + 234151. Let f = 2\/25 + 11\/175. Let p = 9\/14 - f. What is the closest to p in -1\/5, 36, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0 + 0)*(148*q**2 - 77*q**2 - 329*q**2) + 3*q**3 - q**2 - q**3 - q**2 in the form k*q + r*q**3 + x + s*q**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397.3251 years to millennia.\nAnswer: 0.3973251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Suppose -n*t = 2*t. Suppose 2*j - 28 = -2*q, 2*q = -t*q + j + 28. Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -507341 or -507324?\nAnswer: -507324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -2 + sqrt(1300) + -3)**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6290 divided by -170?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/65? (a) -4.3 (b) 3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8650193833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 23. Suppose -4*y = 4*s - y - 37, u = 3*y + 3. Let t be s + -8 - 1*7. Put 3, 1, t in increasing order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.926 + 38. Let m = 36.926 + d. Let g = m + -36.99999966. Round g to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from wwwwwwwjmwmjwmtmwww.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*-1)*-6 - (sqrt(228) - -2*sqrt(228))*-3)\/(sqrt(36)\/(sqrt(3) + sqrt(48) + sqrt(3))).\nAnswer: 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52.905 + -0.095. Let v = -52.8 - b. Let t = -1.9 + 2. Put t, -4\/5, v in ascending order.\nAnswer: -4\/5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2281 - -2280.972916. Let y = -54.027 + 54. Let f = y - p. Round f to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.3 + -26.6. Which is the closest to 2? (a) -0.12 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z + 11. Suppose -5*r = -4*r + 6. Let l(v) = 12*v + 10. Let q(n) = r*l(n) + 5*h(n). List the prime factors of q(-8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y + 1542940 = 128*y + 41*y. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-16) + (-873)\/(-72). Suppose -7*l + 5*l = -s. Let o(z) = z**3 - 7*z**2 + 7*z - 3. Calculate o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -128, -191, -254?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*g**3*q**2*z + 2*g**3*q*r + 6*g**3*r*z**2 + g*q**2*r + 4*g*q**2*z**2 - 2*g*q*r*z - 3*g*q - g*z**2 wrt q?\nAnswer: -20*g**3*z + 2*g*r + 8*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187061?\nAnswer: 3, 395687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-2 + -5 - -2) + -54 + 45).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from {r: 2, a: 1, h: 1, e: 1, s: 3, p: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*-1*1\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 9*a + 90. Let i be t(-14). Calculate the greatest common divisor of 320 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 9414?\nAnswer: 263592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 448 = -8*c. Calculate the greatest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 4*m + 4. Let z be d(4). Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.8923 micrograms in tonnes?\nAnswer: 0.0000000002878923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*r**5 - 740*r?\nAnswer: -4700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 1, k: 1, y: 1, x: 2}. What is prob of sequence ye?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (579717\/(-18945))\/((-2)\/(-8) + (-14)\/(-40))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d - 52. Let a = -11 + d. Solve -a*v + 3*v = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/10)\/c*c**(-2\/9))**(-9))**(-2\/37) assuming c is positive.\nAnswer: c**(-119\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (1*sqrt(275))**2) + -4 - ((sqrt(110)\/(sqrt(80)\/sqrt(8)))**2 + (sqrt(11) - (sqrt(11) - (0 + sqrt(66)\/sqrt(6) + sqrt(11)))))*4.\nAnswer: -606 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 90 - 40. Suppose 16*q - c = 14*q, -4*q = 4*h - 28. Solve h*s + 4 = 3*s, 21 = z + 5*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400465.\nAnswer: 5, 13, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:44 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 - 7 + 33*n**5 - 4 + 19*n wrt n.\nAnswer: 660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90818600 rounded to the nearest one hundred thousand?\nAnswer: -90800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1228 - -1224. Let r(o) = 5*o**2 - 7. Let m(f) = -3*f**2 + 4. Calculate p*r(d) - 7*m(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 2*v = 7*v - 14*v + 3*v - 151, 662 = 2*y - 24*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*l, i = -5*l - 3 + 2. Let k be 966\/2576*8\/1. Solve k = i*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 3. Let k be t(1). Suppose -2*q - 2 + 1 = -z, -10 = 5*q. Let j be k\/z - (28\/12 - 3). Solve j = -4*d - 4 - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a. Let f = -12\/11 + a. Suppose -310 = -12*h - 322. Do h and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.15, 0.8, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*j + 87, t + 9 = 2*t + 3*j. Let i be ((-6)\/4)\/(6 + (-99)\/t). What is the closest to -5 in -5, i, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/768 and 145\/100296?\nAnswer: 3209472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7444968*v**2 + 2*v. Let j(c) = 3*c**2. Give q(j(n)).\nAnswer: 67004712*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.00653 - -0.10391. Round k to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.609871 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(50) + 0).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -228*(-5)\/(-15)*-1. Suppose 106 = 7*j - n. What is the remainder when 77 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -1056. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101001100 (base 2) to base 6.\nAnswer: 54420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 16554066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 212236811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 38*w**2 - 79*w + 45. What is u(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2 in descending order.\nAnswer: 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**(-4\/9)\/y*y)\/y)\/y)\/y**(-15)*(y*y**5)**(-12\/11) assuming y is positive.\nAnswer: y**(694\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k + 14*k + 33*k + 15*k + 17*k + 10*k - 86*k + 15*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -138*y**3 + 3584*y**2 + 71*y - 55. Calculate m(26).\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80654064.\nAnswer: 2, 3, 31, 67, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.65, -2\/13, -1, -22, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15 = -5*l, 4*b + 15 = 4*l - 9*l. Let y(t) = 2*t - 11. Let c be y(l). Let m = -17 - c. Solve -5*k + 0*k - 5 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 522.6 * -4.55.\nAnswer: -2377.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -9 - 11) + (-32 - (9 - (-14 - -12))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:19 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/3 + 91928*r**2\/3 - 1286536*r\/3 - 2940800\/3 = 0 for r.\nAnswer: -2, 16, 45950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 32*j - 3538. What is b(110)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3468.60167 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 + 14 = 0. Let p be (0\/3)\/(-1 - 0). Put r, p, 1 in decreasing order.\nAnswer: 1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 + 13. Determine n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 52\/(-16) - (-530)\/8. Suppose 28*f - 45 = g. Solve 0 = -5*i - 5*o - 5, -2*i + 0*i = -f*o + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8956, -8957, -8958, -8959, -8960?\n\"Answer: -b - 8955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y**3 - 2*y**2 + 2*y + 3. What is h(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1611*y**2 - 7*y - 8. Is 46 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225 or -5?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19400.5981 times -1?\nAnswer: 19400.5981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Let k be 2 + d - 3 - -2. Let a(h) = h + 15. What are the prime factors of a(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773929.3 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.54772807 and -6.\nAnswer: 3.28636842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) 1 (d) -4 (e) 54.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00498744982 to five dps.\nAnswer: -0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258 and 44364?\nAnswer: 1907652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000413 to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 6117336*i**2 + 24469392*i - 24469408.\nAnswer: -4*(i - 2)**2*(i + 1529338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 227536 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 l = 890 - 339. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 18 = 2*v. Suppose 3*g - 3*p = 72, -5*g - 5*p + 101 + 9 = 0. Let h = v - g. What is the lowest common multiple of h and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -522*b*g - 2822878*b - 614*g wrt g.\nAnswer: -522*b - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4106 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18324570 plus -0.4?\nAnswer: 18324569.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(sqrt(162) + -1) + (1 + sqrt(162))*4*-6)**2.\nAnswer: 12636*sqrt(2) + 110241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*-4*446. Is ((-1)\/(-2))\/((-2)\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (-19 - -4 - (-9 + -3 + -25)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 21 = 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 3, k: 6, v: 1, t: 4}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 54379024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - sqrt(156)*-2)\/sqrt(12) + -5 - (1*((sqrt(130) - (sqrt(130) + (sqrt(130)*2 - sqrt(130)))) + sqrt(130)))\/sqrt(10).\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 4*g**2 + g. Let f be c(4). Suppose -5*z - f*m = 168 - 644, -2*z + 168 = -4*m. What is z rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1249 - -1816. What is the greatest common divisor of 105 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 562*m**2. Let v(b) = 3*b**2. What is o(v(r))?\nAnswer: 5058*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.187 + 20.187. Which is the nearest to 0? (a) l (b) 195 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 967100 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 0 = -3*q. Suppose q*h - 31 = 41. What is the remainder when 111 is divided by (h + -5 + 4)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002036983 rounded to five decimal places?\nAnswer: -0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -256279, -512559, -768839, -1025119, -1281399, -1537679?\n\"Answer: -256280*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4591722*g**3*y**3 + 3*g**3*y - 19*g**2*y**4 + 97592*g*y**2 + 29*y**2 wrt y?\nAnswer: 27550332*g**3 - 456*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -131*y - 19. Let d(m) = -137*m - 18. Give 6*d(h) - 5*v(h).\nAnswer: -167*h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3016418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.18 - -0.78. Which is the closest to -1? (a) 1\/2 (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3450326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3204*l**4 - 1602*l**4 - 2*l + 2 - 1601*l**4 + 2*l**3 in the form n*l + r*l**4 + c*l**2 + i*l**3 + o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-9)\/(45\/10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:49 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4682)\/4*-1)\/(1 - (-105)\/(-112))?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 7372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1644799*s**2 - 4*s - 49704.\nAnswer: 3289598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3375 - -3?\nAnswer: -3372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + 2*sqrt(187))*-1*4)\/((sqrt(11) - sqrt(11)*2)*-4 - ((sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(11))*6).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/10 - 2*a**4\/3 - 4*a**3\/3 - 8*a**2 + 49*a. Let w(l) be the first derivative of j(l). Factor w(f).\nAnswer: -2*(f + 2)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-110) - 1)\/(33\/968*11).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 3. Let v(o) = 7*o - 6. Let u(c) = -9*s(c) + 4*v(c). What is u(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031481\/151 + (1*6)\/2.\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/168 + (-3)\/(-21)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 208*d - 2196.\nAnswer: 4*(d - 61)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 13, -0.1, -409 in decreasing order.\nAnswer: 13, 0.1, -0.1, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 90.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y**2 + 31*y**2 + 10*y**2 + 34*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458*r**4 - 34*r**3 - 7892*r**2 - 42*r**3 - 42*r**3 + 154*r**3 - 39*r**3 wrt r?\nAnswer: 10992*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005 * 1.333.\nAnswer: 0.006665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3*x + 0*x + 4*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**2*a)\/a))**(27\/4)*(a**(-2))**(-45) assuming a is positive.\nAnswer: a**(333\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 38. What is the third derivative of -i**6 + 4*i**6 + 11*i**2 + 14*i**6 + 2*i**p wrt i?\nAnswer: 2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(77\/(-14) + 5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 19*d**2 + 44*d - 21. Let g be m(11). Solve 0 = g*h - 87*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**2 - 207*u - 364?\nAnswer: 4*u - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4084 = 1221*r - 200*r. Suppose 0*n**2 + 1\/4*n**4 - n**3 - r + 4*n = 0. Calculate n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 6*2\/4. Let k(z) = 70*z**2 + 4*z - 3. Let h be k(f). Suppose -h = -i - 4*i. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/((-2)\/24). Let k = -5 - -8. Suppose 4*w - w = 5*f + 35, k*f + 22 = 2*w. Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l. Let h(b) = 3*b - 5. What is r(h(x))?\nAnswer: -36*x + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, -5, 0, 0.1, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/4 + 10*t**3\/3 + 7*t**2\/2 - t + 1. Let m be p(-8). Suppose -3*v + k = -m - 27, -2*k = v - 42. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (115 - 109) + (-8103)\/1260 and -11\/1722.\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -15, 5, -5 in decreasing order.\nAnswer: 74, 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 44 = -5*k. Suppose -x = k - 1. Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 632 (b) 14 (c) -774 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 70 = -5*b, 4*b + 34 + 20 = 2*n. Let m = b - -6. Sort m, 5, 3 in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257567\/200 - 1288. Find the common denominator of 91\/180 and z.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02389 - -2.97611. What is the closest to -1 in -0.3, l, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 3961?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21521642 (base 7) in base 2?\nAnswer: -111000100101100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 842881 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/8 or 217?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1200254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + 288*s**2 - 27*s + 196. Calculate the least common multiple of i(-96) and 748.\nAnswer: 30668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 4*m + 16, -2*a - 2*m = -6*a + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -574 - -574. Suppose y = -2*c - l + 578 + 319, 2238 = 5*c + l. What are the prime factors of c?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13264, 15777, 18290?\nAnswer: 20803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - 3*a - 8. Let z = -11 - -16. Let c be h(z). Suppose -c*g + 79 = -g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l - 15. Give y(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y + 2*y + 2*a, -4*y + 5*a + 37 = 0. Calculate the remainder when 1 - -2 - (-7 + 3) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26602 and 4230.\nAnswer: 1197090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 19\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6278 (base 12) to base 3.\nAnswer: -112202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16058 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172893 - -172893. Factor d - 2\/7*m**2 - 12\/7*m + 2\/7*m**3.\nAnswer: 2*m*(m - 3)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -693256, -693257, -693258, -693259, -693260?\n\"Answer: -u - 693255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*1\/((-13)\/(-156))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + j**3 + (4*j - 1 - 6*j - j)*(-10*j**2 - 2 - 1 + 14*j**2) + (8*j - 2*j - 2*j)*(2 - 2*j**2 - 2).\nAnswer: -19*j**3 - 4*j**2 + 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8673297 hours to microseconds.\nAnswer: 3122386920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-5))\/((-2)\/(-15)). Solve 11 = -j - 4*y, 2*y = -j + 4*j - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -1.2. Let h = r - 6.1. Let d = -6 - h. Which is smaller: d or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b + 1. Let t = 12 + -8. Calculate the smallest common multiple of d(t) and (-1 - 23)\/(-4) - 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294779 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4*t - 9 = 3*x, 0 = -5*x - t + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 7*j + 4. Let v be i(7). Let z be (v\/(-110))\/(4\/(-6)). Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 4 + 2*k**3 + 1\/10*k**5 + 0*k - 8*k**2 - 1\/8*k**4 - 1\/120*k**6. Calculate j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4*2)\/((-14)\/(-252))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10509 = -512*k - 2882 - 2450 + 3041 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - 2*z + 0*z**3 + 0*z**3 + 2. Let l = -1429 + 1425. Calculate x(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 345\/46)\/(2\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, 2\/17, 2\/15, 12081 in decreasing order.\nAnswer: 12081, 4, 2\/15, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 = 2. Let f = 18 + -10. What is the remainder when -3*g + -3 + 28 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -20931.\nAnswer: -20933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 5*n. Let u be (-1)\/6*(-12)\/3. Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 2 + -29 - (-41 + -2 + 8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(-48)\/(w**(2\/3)*w)**(-17) assuming w is positive.\nAnswer: w**(883\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318956801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1023543 by -681.\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 36 - 9. Let l = -73 - -82. Do l and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308709663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/12079 - 495295\/338212. What is the common denominator of u and -17\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1123 + -1117. Which is the closest to 1\/3? (a) -2 (b) r (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-6))\/((-40)\/36).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14946 is divided by 2982?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 5. Suppose -15 = -b - 4*b + 2*c, 25 = b + 4*c. What is the second derivative of -6*h**t + h + 2*h**b + 6*h**5 wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19) + -1*sqrt(19) - sqrt(19)) + (-2*sqrt(95) - sqrt(95))\/sqrt(5))**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 18*b**2 + 18*b + 10. Let u be d(-16). What is the third derivative of 11*v**5 - 241*v + 2*v**5 - 7*v**6 - 2*v**2 + 0*v**2 + u*v wrt v?\nAnswer: -840*v**3 + 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 + 13*h**3 - 16*h**2 - 12*h + 16 = 0. What is h?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28623944.5 and 35729.\nAnswer: 28659673.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 a factor of 773149300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 7764?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 33991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -823572, -823567, -823562, -823557, -823552, -823547?\n\"Answer: 5*q - 823577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510 + 3884*b - 610*b + 103.\nAnswer: 3274*b - 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrxlaaxx. Give prob of sequence lxa.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1 + 2. Suppose -h = f*h - 56. What is the remainder when 26 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1035, 2149, 3309, 4515, 5767?\n\"Answer: 23*s**2 + 1045*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 752540 rounded to the nearest one thousand?\nAnswer: 753000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zzzzuzzzzzzzuzzzzzzz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3773*b + 3764*b. Which is smaller: b or 2\/61?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:13 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Suppose -5*f + 2*p = -4 - 4, -4*p = 16. Solve f = j + 2*v + 12, -2 = 5*j - 4*v + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*c**5 - 4694*c**4 + 2345*c**4 + 2349*c**4 - 44*c**2 - 40*c**2 wrt c.\nAnswer: 8160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 - 0.04. Which is the nearest to -1? (a) v (b) -1 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 9. Let p(r) = n*r**2 + 4 + 0*r**2 - 4. Let k(c) = -c**2. Give k(p(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let t(m) = -2*m**2 - 3*m - 1. Suppose k + 47 = -4*b + 44, -k = 2*b + 1. Let s(c) = k*t(c) - 4*u(c). Calculate s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3817827\/11 - 347321. Let l = 246 + w. Factor -8\/11*n + l*n**2 + 8\/11.\nAnswer: 2*(n - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.7827?\nAnswer: -1.2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/(-15) - (-2 + 0). Let z be 114*2\/(-42) - (-1 + -5). Which is the smallest value? (a) -0.36 (b) w (c) z (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m + 16. Let h be t(-12). Let c be (-4 - h\/20) + (-2)\/5. Which is bigger: c or -5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -99, -116, -133, -150, -167?\n\"Answer: -17*a - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -312*t - 3466. Calculate o(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -188, -393, -646, -941?\n\"Answer: j**3 - 33*j**2 - 59*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**6)\/((t**(1\/2)\/t)\/t))\/((t\/((t**(-3\/7)\/t)\/t))\/((t**(-2\/7)\/t)\/t))*t\/t**4*t*(t*t**(6\/7)\/t)\/t*(t**(1\/8)*t*t)\/t**(-2\/3) assuming t is positive.\nAnswer: t**(-1439\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(110)*-5)\/(sqrt(40)*5).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 2:00 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279431.\nAnswer: 279431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/3 + 1747432*x**3\/3 + 763168180102*x**2\/3 - 61587819708888*x + 3726579110904243 = 0.\nAnswer: -873837, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3273 - 16?\nAnswer: -3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908002?\nAnswer: 2, 107, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = -u - 3, -3*h = -5*u - 31. Solve 4*m + 14 = -h*a, 0 = 2*a + m + 4*m + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 41323 = -4*z, 4*z - 40696 - 592 = -4*n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(8)*1)**2*-4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -49*u**3\/2 + 49*u**2\/2 + 120*u + 126. Let s(t) be the first derivative of d(t). Differentiate s(h) wrt h.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 547, 1846, 4381, 8566, 14815, 23542, 35161?\n\"Answer: 69*t**3 - 3*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 21\/4, -0.6, -18, 1\/3, 1\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5833035 litres to millilitres.\nAnswer: 583.3035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3071522.\nAnswer: -3\/3071522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4311*p + 1. Let v(o) = 4170*o + 1. Give 5*b(m) - 6*v(m).\nAnswer: -3465*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 2*a - 6, -11 = c + 6*a + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2122147438?\nAnswer: 2, 43, 3109, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -497, -581, -655, -713, -749?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2. Let f(c) = 5*c**3 - 2*c**2 - 1. Let t(l) = f(l) - 2*q(l). Differentiate t(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2312, 2597, 2882?\n\"Answer: 285*w + 2027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (3 + -1) - (0 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 684*b + 89*b + 5*b**2 + 178 - 3*b**2.\nAnswer: b**2 - 595*b + 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4402 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2102 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l + 11*l + 23*l - 1 + 48*l + 13.\nAnswer: 49*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(1\/9)))\/m*m**4*m*m*m*(m**(-1\/7)*m)\/m*m*m*m*m**(1\/3)*m*((m*m**(-1\/5))\/(m\/(m*m**5\/m)))\/(m**(-1)*m**(-1)) assuming m is positive.\nAnswer: m**(5002\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86*0.11866\nAnswer: -10.20476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 27*q. Let h(v) = -240*v + 2. Calculate h(k(f)).\nAnswer: -6480*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 greater than -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 14*q**2 - 29*q + 22. Determine k(5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 263*w + 7. Let s(v) = -54073*v + 27035*v + 27040*v. Calculate s(h(x)).\nAnswer: 526*x + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000027 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37907*t + 383576.\nAnswer: 37907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/5 + 798*o**3\/5 - 2706*o**2 - 7446830*o - 744346800 = 0.\nAnswer: -205, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1994)\/(-10) - (-2)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0 - -4)*-1. Let c(u) = u + 4. Give c(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*d**3*m - 3*d**3 + 33*d**2*m - 246*d**2 - d wrt m.\nAnswer: 22*d**3 + 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p - 64 - 4 = -350 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*p + 402*p = 24. Solve 3*b + 3*g + p = -1, 5*b + 2*g + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195 - 153) + 7 + -151 - (-1 - (2 + -14))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -m + 3*d, 4*m + 1 + 317 = -3*d. Let s be ((-4)\/(-10))\/(10\/(100\/m)). Let y = -281\/156 - s. Find the common denominator of y and 91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3676998 by 1598.\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8436 and 6075.\nAnswer: 17082900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477.879ml in litres?\nAnswer: 6.477879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*w - 9*w + 3*w)*(7 - 1 - 4)*(-4 - 15 - 8)*(0 - 1 + 4).\nAnswer: 162*w + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-14)\/42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/48820 and 17\/205.\nAnswer: 2001620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*g**2 - 308*g**2 + 36*g**3 + 929*g**2 - 313*g**2.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + l - 3*l + (-1 + 5 - 2)*(-5*l + 4*l + 3*l) - 136*l - 47729 + 47729 in the form v*l + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 17, s: 3}. What is prob of sequence gg?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 1. Let s(p) = 5*p**3 + 13*p + 4. Give 4*b(m) + s(m).\nAnswer: m**3 + 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 31*c - 34*c + 9, -2*k - 5*c + 15 = 0. Let v = -3 - -6. Let x = 3 - v. Solve x*n + n = k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/4 + 1584\/3. Let d = 770 - q. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*p - 526*p + 23*p**4 - 18*p**3 - 641*p wrt p.\nAnswer: 276*p**2 - 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -3 (b) -0.3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2648*r - 41143 = -136471 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101 - -100000110?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -39. Do d and -5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 77132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1391526 divided by 463842\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 333*f + 1488. What is the units digit of b(81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -52*f**4 - 2*f**3 + 2*f**2 + 44. Let m(p) = p**4 + p**3 - p**2. Suppose -4*x = 4 + 4. Let c(i) = x*m(i) - u(i). Differentiate c(r) with respect to r.\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30478 is divided by 442.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7141 - -12862. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814658371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -188\/7, -1, 4, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 574 and 1230.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 21*c**2 - 3*c - 2. Let i(z) = 7*z**2 - z - 1. Let t(p) = 11*i(p) - 4*o(p). Let q(j) be the first derivative of t(j). What is the tens digit of q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 69*x + 34080168 = 3980229. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -94651.\nAnswer: -138\/94651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 - 2450976*r**2 - 375337535040*r + 36054995097600 = 0?\nAnswer: -306420, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 27*h + 800. Let p(d) = -9*d - 7. Let q be p(6). Let s = h - q. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6, 363, 0.2, 0.4 in descending order.\nAnswer: 363, 6, 0.4, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-12)*3\/(18\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8269.4*3643\nAnswer: 30125424.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -135*y**7\/7 - 37*y**3 - y + 141. What is the third derivative of g(n) wrt n?\nAnswer: -16200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.44 - 0.56. Let p = 82 + -31. Let y = p + s. What is the closest to 0 in -3, y, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110555 or 110556?\nAnswer: 110556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 + 957\/5. Which is the third biggest value? (a) 2 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 4. Suppose 0 = -5*z + w*o - 1, -5*z = -4*z + 4*o + 14. Let r(i) = i**3 + 2*i**2 - 2. What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 19}. Give prob of sequence oaoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 29*h - 938. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 412?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (7 - (9 + (-13 - -14)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21 + (-3 + 3)\/((-4)\/(-2)). Let n(s) = -84761*s - 19. Let o be n(c). Round o to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -175936, 0.12, -4 in decreasing order.\nAnswer: 0.12, -2\/7, -4, -175936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5041 + 336?\nAnswer: -4907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -238749*-0.27\nAnswer: 64462.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 56*c - 1042. What is j(26)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 11 - (-9 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3106532 divided by 2.\nAnswer: 1553266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -120\/17 in 5, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 8*p - 928. Calculate the remainder when p is divided by 3 - (-6)\/(-4)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33481101.85 to the nearest one thousand.\nAnswer: 33481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1)\/(279\/(-155)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12160106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 + 1806*o + 10806. Give r(-6).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2)**(3\/17))**(19\/2) assuming c is positive.\nAnswer: c**(171\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7) + (4 - (-4 + 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22899, 22898, 22897, 22896, 22895, 22894?\nAnswer: 22893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/120 + y**4\/32 + 902*y**2. Factor c(s).\nAnswer: s*(2*s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 33708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319644905 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, k: 5, p: 4, v: 3}. Give prob of picking 1 p and 1 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735*o + 4552 = 2125*o + 50872 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o - 10. Let z be t(7). Let l(y) = -y**2 + 3*y**2 - y**2 + 2*y + 0*y - z. Suppose f + 4 - 1 = 0. What is l(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 30350?\nAnswer: -3\/30350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x + 81*x + 89*x.\nAnswer: 200*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*r + 11 = 274*r + 2*d + 27, 0 = 4*r - 54*d - 432 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 3, a: 1, v: 7, w: 4, k: 1}. Give prob of sequence yv.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 861.5787 + -67.75895. Let k = -804.82 + i. Let l = -11 - k. Round l to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(10\/3)\/h*h**(2\/7)*h*(h*h*h*h**8*h*h)\/((h\/(h\/(h\/(h**(-2\/3)\/h))))\/h*h) assuming h is positive.\nAnswer: h**(293\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 161\/483*((-43)\/2)\/(1\/6)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7240052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 + 5 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1554 and 5531759?\nAnswer: 232333878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*r + 269*r = -52. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443819 - -151.7\nAnswer: -443667.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - q - 10 = -4*r, 4 = -q. Let o be 2\/7 + (-4)\/14. Let s = o + r. Solve -4*n + 5*x - 25 = -s*n, 3*x = 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) -10\/9 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 16 + 32. Suppose 11*t = 9*t + d. What is the least common multiple of 18 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(-2*t**2 + 4*t - 4*t + (-t + 4 - 4)*(-1 + 2*t + 1) + 0 + t**2 + 0 - 10*t - t**2 + 10*t) to the form r*t + p + m*t**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*k - 9, m - 3*k = 35 - 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120 and -17.3?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 26 = -6. Suppose -x + v + 11 = l*x, 3*x - v = 5. Let h(c) = 3*c**2 + 4*c + 2. Let z be h(-2). Solve -4*d + 0 = -2*u - 2, x*d - 3*u - z = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, -3, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8191871.\nAnswer: 149, 54979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**16\/p*p)\/(p\/((p\/(p**1*p*p)*p)\/p)))**(-1) assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -11, -9, -2\/13 in decreasing order.\nAnswer: -2\/13, -0.2, -3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3000 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u, -u = -3*h + 6882. List the prime factors of h.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - 1. Let h = t + 51. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11996 divided by 4.\nAnswer: 2999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*o - 1527, -o = -3*f - 0*o + 4613. Suppose -1026 - f = -9*q. Let g = q + -165. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5416317384 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -48. Let f = 78 - b. Let z = f - 31. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*d - 2*w, 0*w = -2*d + 5*w - 35. Sort d, -4, 3 in decreasing order.\nAnswer: 3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**3 - 3*r**3 + 0*r**3)*(1 - 4 - 1).\nAnswer: 8*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1660318, -1660317, -1660314, -1660309, -1660302, -1660293?\nAnswer: -1660282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*f**3 - 173*f**3 - 1 + 72*f**3 + f**2 + 2*f**4 - 1 as i*f**2 + n*f + u*f**3 + l + q*f**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -445139 - 22212821. Is 165\/57 + -3 - y\/95 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppf when four letters picked without replacement from {f: 11, p: 9}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*r**5 + 19229*r**2 - 568785*r - 1?\nAnswer: -360*r**3 + 38458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7155 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287070592?\nAnswer: 2, 2242739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 6, -1, 4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187343 and 2.41.\nAnswer: 451496.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -2*y. Let o be (11\/(-2))\/(y\/12). Let d = o + -4. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30596 = -4*n - 4*u, 31359 = 4*n + 3*u + 764. What is the smallest common multiple of 10 and n?\nAnswer: 38240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -1, 34, 107, 230, 415?\n\"Answer: 2*m**3 + m**2 - 8*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 31.188. Let q = 0.13 + f. Round q to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.331?\nAnswer: 0.0993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 - -3)\/2)\/(-1). Is (m + 3\/6)*1042 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/43 + 17\/344. Let r be (-24)\/48*((0 - 2) + 4). Let s = 14 - 13.7. Which is the closest to r? (a) s (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -60*a**3 + 2*a**2 + 8. Let w(r) = 60*r**3 - 3*r**2 - 10. What is 5*g(z) + 4*w(z)?\nAnswer: -60*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/98390, -213?\nAnswer: 1\/98390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140643 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f**5\/35 - 263*f**4\/7 - 46462*f**3\/7 - 137812*f**2\/7 - 137288*f\/7 - 3262. Factor l(j).\nAnswer: -2*(j + 1)**2*(j + 262)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 8172840*f**4 - 256*f**2 + 45*f**5 - 8172872*f**4 - 8 wrt f.\nAnswer: 2700*f**2 - 768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 0*f - 11 + 5*f + 3*f + 5*f - 5*f. Let s be o(6). Let a = 1 + 2. Solve 4*p + s = -a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(520\/(-12))\/13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 + -4 - (5 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (sqrt(24) - (sqrt(144) - (sqrt(144) + sqrt(144)*2 + sqrt(144) + sqrt(144)))\/sqrt(6))\/(sqrt(1200)*-1).\nAnswer: -5 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -193 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 16*k**2 - 9*k + 17. What is a(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 730183483.\nAnswer: 730183488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.76496 rounded to two decimal places?\nAnswer: 3.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 + 2*z**4)*(-12*z - z + z) + 0*z**5 - 2*z**5 + z**5 + (11*z + 15*z - 23*z)*(3*z**4 + 0*z + 0*z).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssmssy. Give prob of sequence sy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.017 from -212094.1934.\nAnswer: -212094.1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/39 and 40\/2654739.\nAnswer: 34511607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b36b0 (base 13) to base 5.\nAnswer: 134140322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*g - 28. Suppose -3*p + 5*h - 1 = -0*p, -2*h = -10. Let f be (1 - 18\/p)*g. Solve -b + 3*b = -f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327\/2148*(-1)\/13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-34)*b)\/b)\/(b**13\/b)*b**(-24)\/b**(-18) assuming b is positive.\nAnswer: b**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-142)\/1775 - (-164)\/50.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 3\/4, -0.4, 228, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 6 - 8*w**2 - 10*w + 4*w**2 + 2*w**3 - w**2.\nAnswer: 2*(w - 3)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -8\/7 (b) 1\/8 (c) 1\/5 (d) 12 (e) -0.066\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13109827 divided by 1759?\nAnswer: -7453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.307*11340\nAnswer: 14821.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 3*u**3 + 6*u**3 - 6*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 31*m - 33. Suppose -11*r = -25*r + 420. Let w be l(r). Let i = 63 + w. Solve i = d - 2*a + 4 + 2, -d + 4*a - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 6*n - 77. Give l(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3388 - 4e?\nAnswer: 333a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*j + 6 = 0, -4*t - 33 + 27 = -j. Sort 0, 4, 117, t.\nAnswer: t, 0, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 21 = -3*c, -1 + 4 = 3*c. Let l be (-135)\/x*(5 + -1 + 0). List the prime factors of (-16735)\/(-75) - (-4)\/l.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65798574 bigger than 65798576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h + 2679. Determine j(53).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -37 + 19. Suppose -3*x + z = 3*o, -9 = 5*o + 6. Solve 2*w + 4*c + x = -1, -5*w = -c - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8502\/37 or 229?\nAnswer: 8502\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 92 = 4. Suppose -3*l + 38 = -4. Let p = l + -9. What is the remainder when b is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 3*y + 9. Let p be c(0). Suppose -3*u = -o - 809, -12*o + p*o + 273 = u. What is the greatest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**6\/120 + o**5\/10 + o**4\/24 + 4*o**3\/3 - 8*o**2. Let d be x(-6). Suppose 4*m - d*m - 1398 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.0000017 - -14. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -9. Let q be ((-14)\/(-6))\/(t\/27). Let x = q - -36. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*s**4 - 6*s**4 + 5*s**4)*(-1 + s + 1)*(1 + 3 - 5)*(1 + 1 + 2).\nAnswer: 112*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 142. Let l(b) be the first derivative of -b**3\/3 - 11*b**2\/2 + 5*b - 2. Let n be l(-11). Put v, 2, n in decreasing order.\nAnswer: n, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - 259. Suppose -2*v - 5*b + 4*b - 367 = 0, 5*b = 2*v + 373. Let q = v - l. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90300 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16334 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/4)\/((-6)\/(-9)). Suppose 0 = u, h - j*u - 20 = -h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + 4*m + 6, -5*m = o + 13. Suppose -q - o = -3. Let x(t) = -t. Let c(r) = 5*r + 2. Give q*c(s) + 2*x(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3047.8504 and 4?\nAnswer: 12191.4016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2\/2 + 17*w + 3. Determine q(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 3*n + 7, 4*t - 5*n = -14. Let a be -1 + 0*(2 + t). Let f(z) = -z**2 - 4*z - 8. Let l(c) = c + 1. Determine a*f(x) - 6*l(x).\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7753 is divided by 431.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 10, 4, -4 in descending order.\nAnswer: 70, 10, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 6*h - 2. Let b be a(-5). Suppose 0 = 5*v - 5*y - 110, 4*v + b*y = 3*v + 18. 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: Let b(c) be the first derivative of 0*c**2 + 7\/24*c**4 - 8 - 2*c**3 + 1\/40*c**5 + 0*c. Let q(i) be the third derivative of b(i). Calculate q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 27*v**2 - 27*v + 34. Let m be t(-28). Let o = -74\/17 - -1117\/34. Find the common denominator of (-87)\/m - (8\/4 + -5) and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 150 = 2*l, -2*l - o = -3*l + 75. Calculate the greatest common factor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - -17. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) + sqrt(2057) + (sqrt(2057) - 1*sqrt(2057)))**2 + ((sqrt(187) + sqrt(187) + (-2*sqrt(187)*6 - sqrt(187)))\/sqrt(11))**2.\nAnswer: 10285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 4*b + 5 + 22, -3*g = -3*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.09, -2, -42198?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 31, 50, 53, 34, -13, -94, -215?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49928969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142 - 72 - 3*y**2 + 312*y - 68 - 30*y)*(5*y + 1 - 1).\nAnswer: -15*y**3 + 1410*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 923, 924, 925, 926?\n\"Answer: p + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -4\/3*b**3 + 60*b**2 + 233 + 124*b. Factor f(z).\nAnswer: -4*(z - 31)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 48. What is the remainder when 32 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 326 = -3*p, -p + 825 = 5*c - 6*p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2, 0, 2\/205?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 11:08 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - 4*p - 52. Let i be d(-6). Solve 121*k = i*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-627)\/2)*-3\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 22584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 6*c**2 + 4*c - 4. Let m(a) = 2*a**3 + 7*a**2 + 5*a - 5. Suppose -3*p = -5*u - 32, 0 = p + p + 5*u + 12. Determine p*m(g) - 5*f(g).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -3*g. Let q(z) = 4*z**3 - 10*z**2 + 12*z + 19. Let h(t) = -t**3 + 3*t**2 - 4*t - 6. Let k(d) = g*q(d) - 14*h(d). Let k(y) = 0. What is y?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 0*v)*(2 + 2 - 3) + (13*v + 4*v - 7*v)*(0 + 1 + 1).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 14. Let j be p(9). Let b(x) be the third derivative of 0*x**3 + 0 + 1\/24*x**j + 0*x - 3*x**2. Let h(o) = -2*o**2. Give b(h(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.65 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -139. Let g = -19 + d. Let y be g\/9*(-1)\/(-18). Which is the closest to 0.1? (a) y (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y + 9. Let a = -3660 - -3663. What is the nearest to -1 in -0.4, y, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2264590 and 101\/24058?\nAnswer: 52085570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 239*l**3 - 51*l - 2 wrt l.\nAnswer: 1434*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78.7 + 79.2. What is the smallest value in c, -3, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 787 and 175347535.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 274*v - 148. What is the smallest common multiple of 66 and p(4)?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15149926 to the nearest integer?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 235941495 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 + 19 = 4*g, 13 = 5*g + f. Suppose 4 = 2*b - 7*b - 3*i, 0 = 4*b + g*i + 2. Let l(c) = 2*c**3 - 2*c**2 + 1. Calculate l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, 0.04, -27, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) - ((-4)\/(-7) - (-63)\/(-196))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 22 - 4*o + 2*o.\nAnswer: -2*o - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:04 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m**2 - 4785162*m + 1367188 = 0. What is m?\nAnswer: 2\/7, 341797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 2221, -2, 1\/7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 45*k**2.\nAnswer: -5*k**2*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073134343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1754 - 1171. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678633 is divided by 4295?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 788 - 323. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265034 is divided by 4337.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 10021011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640187788 a multiple of 9417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (57\/3724*14)\/(864\/(-2660)) and -23\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 0.85337903854408.\nAnswer: 0.55337903854408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2 + 7. Suppose -r*d + 30 = 5. Let j(t) = -4*t**3 + 19*t**2 + 3*t + 5. Let a be j(5). Put a, d, -1 in ascending order.\nAnswer: a, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - -1*sqrt(1008)*-1) + sqrt(1008))\/(3*(-2*sqrt(1089) + sqrt(1089))))**2.\nAnswer: 112\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/4 - 7*h**2\/4 + 145*h\/4 - 425\/4 = 0.\nAnswer: -17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 111. Let j be ((-4)\/m)\/(2\/(-9)). What is the second smallest value in j, -0.5, 24?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10899, 0.1, -3 in descending order.\nAnswer: 0.1, -3, -10899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9)\/k*((k*k\/k**(-1))\/k)\/k*(k**(-2\/7)*k)**(-6\/7))**(-8))**(-8\/3) assuming k is positive.\nAnswer: k**(-23552\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/41 and -44\/4525?\nAnswer: 185525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(2*sqrt(10)) - (2 + sqrt(192)) - (1*(sqrt(432) + -1)**2 + ((sqrt(432) + sqrt(432) + -1 + sqrt(432) + sqrt(432) - sqrt(432)) + -1)**2).\nAnswer: -4327 + 321*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 59*a**2 - 58*a - 121. Let d be f(60). Suppose -5*p + 5*w + 15 = 0, 0 = 3*p - 2*w - 4 - 6. Let z(m) = p*m - m + 5*m + 1. Determine z(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -112*j + 44 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/132*(-5)\/((-20)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 22 = 2*d. Let j = -2634 - -2638. What is the remainder when d is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00189886793 rounded to 7 decimal places?\nAnswer: 0.0018989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w. Let i be 1 - (2 + 0) - -7. Let a(h) = 7*h**2 + 6*h - 2. Calculate i*j(x) - a(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50298880 and 44515?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + -39. Suppose -5*s + o = 4*m, -3*s + 3*m + 33 = 3. Solve -4 - s = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -102.2. Which is the nearest to 10? (a) 1\/3 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.664674 millennia to months.\nAnswer: 55976.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as 40031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72918785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32)\/(-2 - -4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-21) - 1\/((-7)\/(-59)). Let m = y - -30. Calculate the remainder when 63 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*n + 4*v, n + 4*v + 5 = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 326988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 310 - 203. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2157840 divided by 10\nAnswer: 215784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14821, 1\/10, 1\/4, -0.06 in descending order.\nAnswer: 1\/4, 1\/10, -0.06, -14821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 - 132. Suppose 45*g - l = 36*g. Solve 0 = g*a - 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1085705*y**2 + 2*y + 284188.\nAnswer: 2171410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 5 + 2*h - h + 0*h - 3*h.\nAnswer: -2*h + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 3. Suppose 2*f + 2*f = -28. Let j be t(f). Let s be (-47)\/(-9) - 10\/j. Solve -s*i - 2*o = -4, -2*i + 4*i + 5*o = -11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 1, -3, 0.\nAnswer: -3, 0, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1)*14)\/((-78)\/(222\/37)).\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - h - 23, 11*i = 2*h - 5 - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6750464 is divided by 132.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216*o - 7*o**2 + 216*o - o**2 + 5*o**2 - 3*o**2 + (-2*o + 4*o - o)*(-o - 2*o + 5*o) - 2*o**2 + 5*o**2 - 2*o**2 + (-o + 5*o - 2*o)*(-4*o + 3*o + 3*o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -47, -91, -183, -341, -583, -927?\n\"Answer: -3*a**3 + 3*a**2 - 2*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*p**3*v**2 + 9*p**3*v - p**3 + p**2*v**2 - 2*p*v**2 + 3*v**2 + 28692*v wrt v?\nAnswer: 100*p**3 + 2*p**2 - 4*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007056093 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 92*j**3 - 3*j**2 + 183*j + 5. Let o(q) = -23*q**3 + q**2 - 41*q - 1. Calculate 9*o(r) + 2*v(r).\nAnswer: -23*r**3 + 3*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 2796*a**3 - 231840*a**2 + 5137648*a.\nAnswer: -4*a*(a - 607)*(a - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189392341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.5 - -56. Let g = -8 + 6.3. Let x = 2.4 + g. What is the third biggest value in v, x, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3064*s - 4871*s - 5628*s - 989*s.\nAnswer: -8424*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 981*x**4 - 4*x**3 - 54. Let t(h) = -h**4 - h**3 + 2*h - 1. Let c(g) = d(g) - 4*t(g). What is the second derivative of c(z) wrt z?\nAnswer: 11820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483584 divided by 64\nAnswer: 7556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1243 - -4935\/4. Let l = o + 9. Which is the smallest value? (a) -0.3 (b) -4\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -115.5. Put x, -10, -0.4, -2 in descending order.\nAnswer: -0.4, x, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h - 7 + 4*h**2 + 0*h**2 + 2*h - 2*h**2. Is b(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -7. Is (6\/3)\/((-1)\/q) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*a - 78 = 1876*a - 903*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35835953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + d - 4. Let f be m(2). Let t(i) = 9*i - 17. What is the remainder when t(f) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 69. Calculate the remainder when m is divided by (12\/(-10))\/((-18)\/(-45)) + 1*16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61678150 to the power of 1\/2, to the nearest integer?\nAnswer: 7854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4941, 19809, 44603, 79323, 123969?\nAnswer: 178541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/6 - 15*n**2\/2 + 6*n. Let o be z(-3). Let l be (-10)\/(-4) - o\/24. Solve -l*i + 2*i = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 15*v + 14*v - 15 = 0, 1031 - 1040 = -3*s - 5*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - c = -12, -c - 16 = -4*a - 5*c. Suppose -4565 = a*h - 13*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 93*g + 51. What is h(-2)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007698464061 rounded to five decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Suppose 2*g = h*g - 54. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 34. Let z be (-2)\/1 + (-7)\/(-1). Are z and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k + 6 = d, -d - 2*k - 6 = 0. Solve 2*t + 5 + 1 = 4*j, d = -5*j - 2*t + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**2 - 230. Let m(d) = 26*d. Give m(c(x)).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**3 + 3227*y + 168604 wrt y.\nAnswer: -3*y**2 + 3227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let h(y) = 15 + 11 - 24. Let b(j) = j**3 + 7*j**2 + 7*j + 8. Let m be b(-6). Give m*h(t) + 4*l(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 7 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*f + 12 = 0, -4*t + 3*f = -f. Suppose 7*w = 5*w - 3*k + 265, 0 = -w - t*k + 134. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 52, 116, 204, 316, 452?\n\"Answer: 12*f**2 + 4*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 6. Suppose 2*w = 6*w - 4, 7 = 3*r - 5*w. Suppose -r*u + 37 = -27. What is the second smallest value in u, z, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 16 = -9*x. Suppose -4*d + 1557 = x*g - g, -2*g = -2*d - 1038. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149358 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -748 and 11.1408?\nAnswer: -8333.3184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*v**2 - 196\/3 + 56\/3*v.\nAnswer: -4*(v - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89288814 divided by -2?\nAnswer: -44644407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48132 and 101731.\nAnswer: 699502356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 12*t**2 - t + 15. Suppose 20*q = 23*q - 36. Calculate r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5 + 2597*y + 2*y**3 - 2602*y + (0 - 4 + 0)*(-6*y**3 + 0*y**3 + 2*y**3).\nAnswer: 18*y**3 - 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2702806 + 9*y**2 - 2702806.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*p + 121*p + 136*p - 594*p - 11.\nAnswer: -273*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-12*2*-5)\/((-3)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48472598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 517*o**2\/2 + 9821*o\/2 - 19.\nAnswer: (o + 19)*(517*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 0 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -1\/3, 9, -3, -1.53, 0, -24 in ascending order.\nAnswer: -24, -3, -1.53, -1\/3, 0, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:38 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3716064.9 + 0.2.\nAnswer: 3716065.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60018625 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-4)\/(-7)) + 3. Let i be -1*w\/(-40)*-4. Factor -4\/5 + i*y**2 - 2\/5*y.\nAnswer: 2*(y - 2)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 395*c**2 - 2279*c + 334. Determine g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -599 - -365. Let c = m - -318. Calculate the remainder when 185 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214056393.\nAnswer: 11, 59, 503, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -5 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3\/3 - 3*x**2\/2 + x + 63. Suppose 5*k = -3*b - 4, -5*k + 3*b - 10 = 6. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 2538.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11001011001 (base 2) to base 4\nAnswer: 121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 4812*a + 336611 = 0. Calculate a.\nAnswer: -4741, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*w + 75319 = 0, -55050 = -5*i - 2*w + 39070. What are the prime factors of i?\nAnswer: 2, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.1941176 to two decimal places.\nAnswer: -21.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -969*l**2 + 6239. Let d(u) = -6*u**2. What is x(d(m))?\nAnswer: 11628*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 16, 3461\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-43050)\/7154) + 110\/(-50).\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 447221799.\nAnswer: 4919439789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -4. Let o = -186.4 + 186. What is the second smallest value in u, o, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0*k + k - 2)*(16 - 46 - 29).\nAnswer: 177*k + 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 21*h - 28. Let u = -333 + 355. Calculate o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (2 - 3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 80. Suppose -p*s - 56 = -8*s. Calculate the greatest common factor of 140 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 4*l + 9*l - 4*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 98359338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q + 4678 = 50*q + 39*q - 21764 for q.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6392, -25625, -57688, -102587, -160328, -230917, -314360, -410663?\nAnswer: -519832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40517401 + 1?\nAnswer: 40517402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**6\/360 + v**5\/30 + v**4\/6 + v**3 - 5*v. Let i(a) be the second derivative of g(a). Let m = 407 - 411. Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Let z(b) = b**3 - b**2 + b + 2. Let y be z(f). Suppose y*w = 3*w - 8. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*h + 120*h - 8653 = 31*h - 174*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31a (base 13) to base 8.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 845026.7 years?\nAnswer: 8450.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b**2 - 20*b - 101. Let h(m) = 9*m**2 + 10*m + 50. Let j(i) = -7*h(i) - 4*x(i). List the prime factors of j(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*h = -484*h - 64 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2716*v - 1. Let q be p(0). Let j(r) be the second derivative of -17*r**5\/20 - r**4\/6 + r**2\/2 + r. Give j(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 8, -22, -4, -0.756, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -442, -1558, -3728, -7306, -12646?\n\"Answer: -59*g**3 + 4*g**2 - 15*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0078 and 3201.\nAnswer: 24.9678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 872, 857, 814, 731, 596, 397, 122, -241?\n\"Answer: -2*n**3 - 2*n**2 + 5*n + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -415?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 13*b - 5256. What is the highest common divisor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1286*i**3 - 5*i**2 - 5*i - 5. Let b(c) = -45012*c**3 + 176*c**2 + 176*c + 176. Give 5*b(k) + 176*q(k).\nAnswer: 1276*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + g - 10, -l - 6 = -4*l + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8, 4*k - 2*k - 4*y + 10 = 0. Let r be 1\/(-3)*(-13)\/(13\/12). Suppose -k*c + c = -r. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2103 + 4230 - 2102 - 2*b.\nAnswer: -2*b + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2663?\nAnswer: -2663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(104) - 1*(sqrt(104) - -4*sqrt(104))) + sqrt(104))\/sqrt(8))**2 - ((sqrt(832)*2)**2 + -5 + sqrt(832)))*-6.\nAnswer: -76944 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2690891*r**4 + 1647177 wrt r?\nAnswer: 10763564*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r + 5*r - 5 - 31 + r**2 + 9*r + 5*r.\nAnswer: (r - 2)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126837*p + 45949*p + 49984*p.\nAnswer: 222770*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.6 + 8.5. Let w be ((-5)\/(190\/(-8)))\/(-2). Sort 1, w, x in increasing order.\nAnswer: w, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5528 divide 511024649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*u - 16*u + 18*u + 3 - 3 - u - 1 + 1 - u + (-3 - 2 + 4)*(0*u + 3*u - 2*u) + 4*u - u - 5*u - 4 - 2*u + 4 + 127*u - 39*u + 19*u.\nAnswer: 140*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 15. Let k(z) = -2*z + 3. Let v(n) = 3*n - 4. Let s(d) = -5*k(d) - 4*v(d). Let l(t) = -3*t + 2. Calculate x*l(p) + 10*s(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 119 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -24*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2722 + -2646. Calculate the remainder when 114 is divided by c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-2)\/3)\/((-1)\/3). Suppose -4*z - 3*x = -2*z - 69, x = -n*z + 79. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185762920 is divided by 211?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.5 + 1.5. Let p = -0.72 + -5.28. Let u = f + p. Which is the third biggest value? (a) -0.1 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -125, -196, -271, -350, -433, -520?\n\"Answer: -2*a**2 - 61*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13\/5))**(-2\/93)\/(a**(7\/2)\/a**0) assuming a is positive.\nAnswer: a**(-3203\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/39, 3, -4, 2\/9, 25, 5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 16*l - 346. Let m(s) = -6*s. Give m(v(d)).\nAnswer: -96*d + 2076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 54 - 419 = -5*c, 2031 = -2*r + c + 1936 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + 0.0199811. Round f to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 2*l**2 + l - 2. Let y be o(-3). Let u(d) = -d**3 - 4*d**2 + 6*d + 1. Let b be u(-5). Suppose 6 = -4*s - 6. Put y, s, b in increasing order.\nAnswer: b, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2447074, -2446979, -2446884, -2446789, -2446694?\n\"Answer: 95*n - 2447169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2047428 and -13\/2308?\nAnswer: 1181365956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2 - 2*y + 3\/2*y**2. Differentiate l(u) with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/4)\/c)*c**(1\/5)*(c**(-1)*c)\/c*c\/(c\/(c\/c**1)))\/(((c\/(c*c*c\/c**(-3)))\/((c*c**5\/c)\/c))\/(c\/(c**2*c)*c)**34) assuming c is positive.\nAnswer: c**(-461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210 + 312. Let a = -626 + 644. Calculate the highest common divisor of a and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-1*sqrt(1584)*-3 + (sqrt(1584)*2*1 - sqrt(1584)) + sqrt(1584))*-1 + 3)**2.\nAnswer: -720*sqrt(11) + 237606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 56 = 4*g, -3*n + 6*n + g - 30 = 0. Let z(q) = 3*q**2 - q + 3. Let x(o) = -8*o**2 + 3*o - 8. Calculate n*z(f) + 4*x(f).\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 614273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 798 and 8?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dff - -1?\nAnswer: 1e00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 6, w: 2, u: 1, o: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*v**2 + 96 - 96 in the form o*v**2 + z*v + k and give o.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 183508275 rounded to the nearest 100000?\nAnswer: 183500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -3, 10, 7, 152 in ascending order.\nAnswer: -3, -1, 7, 10, 15, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10*10\/(-3))\/(2\/15).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + -21. Suppose 3*j - 7 + 28 = 0. Let n = j - o. What is the highest common divisor of 48 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-28) + 1962\/42?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 i, and 1 x when four letters picked without replacement from timmmxtxmitt.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195805429 - 4.67213.\nAnswer: 195805424.32787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140.903856 and 0.01.\nAnswer: -1.40903856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -135. Let j be (36\/(-6))\/((g\/(-4))\/5). Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 111?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 112 = -7*i. Suppose -4 - 4 = 2*v, i = 4*l - 4*v. Differentiate 8*z - 5 - 8*z + 4*z**3 - 12*z**l wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 16*b + 13. Let h be p(15). Let s be (-11)\/(-1) - (5 + -2). Let w be ((-1)\/h)\/(2\/s). Solve u = -2 - w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -439*y - 11. Let m(h) = 442*h + 9. Determine -5*f(j) - 6*m(j).\nAnswer: -457*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let g = x - 0. Solve -6*z = -3*z + g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, -2, -3 in ascending order.\nAnswer: -3, -2, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let y(f) = 452*f + 15. Let r(b) = -98085*b - 3250. Let i(o) = -3*r(o) - 650*y(o). Determine t(i(s)).\nAnswer: -910*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5528 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 50*q - q - 4*q**2 + 5 - 1.\nAnswer: 2*q**2 + 49*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 9*m + 10. Let t = -0.24 + -0.06. Which is the third biggest value? (a) m (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.096 (b) -0.5 (c) 6.3 (d) -0.3 (e) 0.3 (f) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 54, 60, 66, 72, 78?\n\"Answer: 6*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 3*c - 14, -4 = -2*c. Let j = 6 + v. Suppose -j*i = -5*i + 27. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 620176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l**2 + 2*l)*(-1 - 2 + 5)*(3 - 1 - 4) + (-9 + 9 - 8)*(4*l**2 - 3*l**2 - 3*l**2) - 2*l**2 - l + l.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8290.\nAnswer: 2, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.009 in -3\/2, 2, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 7 + 49 = -3*k - k, -k = -11*k - 180 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(6 - 4\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*r = -r - 28, 2*r - 58 = 4*z. Let x = z - -13. Differentiate x - 5 - 2 + t**4 + 3 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -7*a - 72. Suppose -3*x + 2*x + 13 = 0. What is the derivative of -9*w**3 + x*w**3 - 5*w**4 - 6 - a*w**3 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.216845 and 1?\nAnswer: 2.216845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 345. What is the highest common factor of 58 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 7*f + 0*f + 4*p = -f - 7 + 22, 4*p = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798 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 dth term of 11639, 11519, 11373, 11189, 10955, 10659, 10289, 9833?\n\"Answer: -2*d**3 - d**2 - 103*d + 11745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d - 48. What is the remainder when x(-10) is divided by (-1 - 2)*(-2 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.6 in 1, 3, -0.4, 2.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 3*n**4\/2 - 128*n. Let y(p) = 16*p**2 + 2. What is q(y(h))?\nAnswer: 4608*h**4 + 1152*h**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42096 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14630671, 14630672, 14630673, 14630674?\n\"Answer: h + 14630670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32941 is divided by 264?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/529 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 27 - 39*m in the form u + i*m and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -56*z**2. Let f(s) = -15*s + 47. What is n(f(x))?\nAnswer: -12600*x**2 + 78960*x - 123704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1584 and 12144?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -740 - -747. Which is the closest to r? (a) -8 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3111132 (base 4) to base 12\nAnswer: -7aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 18. Let g be d(8). Let s = -9 - g. Let i be s*414\/14 + (-144)\/(-336). Calculate the greatest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 55471?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416\/(-6552)*-3*12\/4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-27)\/(-60))\/(2\/160*16)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.2, -4\/433, -5, -0.4, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1682 + 1676. What is the second biggest value in -4\/3, -11\/2, -2\/21, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + -81. Let a(b) = b + 6*b + b**d - 10 + 19 - 10. What is a(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -29*g + 3 - 10. Solve 9*o = k + 13*o - 17, g = 5*k - o - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 13. Let j be (y\/(-2))\/((-3)\/(-114)). Let f(u) = -u**3 - 2*u**2 + 6*u - 7. Let m be f(-5). Calculate the greatest common factor of j and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -24\/203 (b) 1\/3 (c) 4 (d) -4 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/2 + 15*c**2\/2 - 5*c - 12 = 0. What is c?\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) - (-1444)\/(-180). Suppose 2*t - 6*t + 5*r = -76, 16 = t - 2*r. Suppose -z - t*z = 175. Is z less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3030*n + 1382 + 5098 = 3750*n. Suppose 14 = 3*k - 1. Solve -h - k = -n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*k*m + 147*g**3*k + g**3 - 3*g**2*m + 190*g*k*m - k wrt g?\nAnswer: 24*k*m + 882*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -5 (c) -2 (d) -1\/4 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*n - 5*n**2 - 225*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -544 divided by -16\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 203324*n + 406677. Determine l(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6656151757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose -26*j + 2*j - 6 = 42. Let n = -3.07 - -0.07. What is the biggest value in j, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280544 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: What is the remainder when 1194 is divided by 102?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -313\/4 - -79. Let i be (2 - 2 - 0)\/(-2). Suppose 5*o - 5 + 25 = i. What is the third smallest value in 0.4, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1175*m**2 - 14*m - 28. Let d(l) = -784*l**2 + 10*l + 20. Calculate -7*d(n) - 5*x(n).\nAnswer: -387*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -489.7908 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -302, -36, 214, 448, 666, 868, 1054?\n\"Answer: -8*x**2 + 290*x - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, e: 7}. What is prob of picking 2 o?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1 - 3 - c**3 + 15 + 9*c - 18*c**2. Is a(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6823, -6602, -6381, -6160, -5939?\n\"Answer: 221*m - 7044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/3)\/(67\/(-31758)) is divided by (21 + 3)*(-6)\/(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - ((2 - 6) + 1). Let n = -11 - d. Is 4*n\/((-60)\/147) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 411, 823, 1235, 1647?\n\"Answer: 412*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2 = 5*w - 19, 0 = 4*a - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16 + 4 = 4*h, 3*x = 2*h + 22. Let i be 1 + ((-2592)\/52 - x\/26). Let w = 46 + i. Let d(a) = a**3 + 4*a**2 - a. Calculate d(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(g + 3*g - g)*(-g + g + 3*g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 - 9*p - 14. Let u be x(6). Let c be u\/(-38)*6\/12*3. Is -1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 12. What is the remainder when 23 is divided by z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.31 - -0.31. Let f = -26.65 - y. Let j = f + -0.45. Which is the nearest to 0? (a) -0.5 (b) 4\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15910*f**2*j**3 - 861*f**2*j**2 + 779*f*j**3 - 4272*f*j + f wrt j?\nAnswer: 95460*f**2 + 4674*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) - (-3*sqrt(2) + 3) - (sqrt(72) + 1))**2 + -3.\nAnswer: 16*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 11, -0.1, -2, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573076 minus 224483?\nAnswer: 348593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327739940?\nAnswer: 2, 5, 11, 17, 87631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 83 = -9*p. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -18*p**2 + 13*p + 1. Let d(z) = -18*z**2 + 13*z. Let c(o) = -3*d(o) + 2*x(o). Suppose 10*y = -19 + 39. Does 24 divide c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8 - 2*x - 5 - 4. Give r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13446 divided by 1494?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4\/5 + 246*n**3 + 135384*n**2\/5 + 1880562*n\/5 + 349281 = 0. Calculate n.\nAnswer: -197, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023121 rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + 18*z + 41. Let g be x(-6). Let l = 0.6 - 1. Let f = 0.03 + -0.23. Which is the closest to -1? (a) f (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnbnnnn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28\/21 + 4)*(-251475)\/(-50).\nAnswer: 2, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - n + 20 = 0, 0 = -329*s + 308*s - 2*n + 132 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215 and 42263926.\nAnswer: 211319630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/(-15*(-14)\/3570) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(1\/1401) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 1. Suppose -6 = -x + 2. Let j be (-2)\/x + 275\/44. Suppose -4 = 5*t + 3*v + 4, t + 5*v + j = 0. Determine l(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (10 + -2 - -2). Let l = -7 + m. Is -12*(0 - -1 - l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdiv when four letters picked without replacement from {f: 7, i: 4, d: 5, s: 2, v: 2}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-4) + 2\/8. Let n = 1\/33237 + -66487\/432081. Let o = -0.5 - -0.8. Which is the nearest to g? (a) n (b) -0.02 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-28))\/(6 - 240\/42).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*h = -4, 5*l - 24 = 3*h - 8. Suppose -3*t - 3*d = -6*t + 30, t + l*d = -20. Suppose -c + t*c - 12 = 0. Which is bigger: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 - 7*v**4\/24 + 5*v**3\/6 - 3*v**2 - 2*v. What is d(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 t when four letters picked without replacement from rlllhlhtllhrtlhtrt.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + 124\/10. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384583194 to the power of 1\/2, to the nearest integer?\nAnswer: 19611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 3*j**2 + j + 2. Let i be g(3). Let x(r) = 3*r**3 + 5*r**2 + 9*r - 4. Let h(q) = 2*q**3 + 3*q**2 + 5*q - 2. Calculate i*h(v) - 3*x(v).\nAnswer: v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**5 + 10*l**4 - 2*l**2 + 107*l wrt l?\nAnswer: -180*l**2 + 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280\/(-14)*(-13*27)\/3 and 1092?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -3*y + 5*k + 26, 0 = 3*y + k + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.857 months in decades?\nAnswer: 6.540475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(2057) - (sqrt(2057) - (sqrt(2057) + 1*sqrt(2057) + 0))) + (sqrt(2057) + 1)*5*-6)**2.\nAnswer: 19096*sqrt(17) + 1613649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 1, b: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 10 = -2*v. Suppose 3*k - 3*y - 1 = 11, -4*k - 4*y + v = 0. Factor -n**3 - 3*n**k + 0*n**4 + 3 + 7*n**3 - 6*n.\nAnswer: -3*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/6)\/(28\/6 + -5). Factor 1\/2*p**4 + 0*p + 0 + g*p**5 + 0*p**2 + 0*p**3.\nAnswer: p**4*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*y + 205, -2*y + 51 = -2*a - 149. What is the lowest common multiple of y and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 - 193 = 39*n - 65 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**3\/15 - 3*i**2\/5 - 5. Factor c(v).\nAnswer: -2*v*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.69 + -0.11. Let u = 0.2 - i. Let q = -111895 - -111902. What is the biggest value in u, q, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7703 - -7736. Let r = 8 + -6. Suppose -2*n - 334 = -r*m, -m - 99 = n - 262. Calculate the greatest common factor of w and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + 1 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*w**2 - 10*w**2 + 2*w**2 + w**3 + 15*w**3 wrt w.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 91*u**2 - 2*u - 1. Let n be p(-1). Let x = 52 - -8. Let v = n - x. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.7864 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1817, -1815, -1813?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13356642 + 2?\nAnswer: 13356644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 307967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.77 times 26?\nAnswer: 618.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/16 - (-91425)\/200?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3610 and 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*y + 9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**3 - 5*t**2 + 14*t + 1. Let u(k) = k**3 + k**2 - 2*k + 1. Let b(g) = h(g) + 6*u(g). What is b(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7254330 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47253?\nAnswer: 3, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35001 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3510021641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340934135 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 30*q + 71. Let r(b) = -38*b**2 - 148*b + 351. Let v(g) = 2*r(g) - 11*y(g). Determine v(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394814822 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -147, -4, 172, 2, 4.\nAnswer: -147, -4, -1, 2, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18198.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 63*x. Let j(z) = 6*z**2 + 265*z. Calculate j(p(c)).\nAnswer: 23814*c**2 + 16695*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 39*t**2 - 46*t - 146. Let w be h(-38). What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.29 - -1.1. Let y = 0.01 - d. Let q = 0.2 + y. Put q, -2\/5, -2 in increasing order.\nAnswer: -2, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*3\/6 + 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/56)\/(89\/(-356)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t + 518420 + 513582. What are the prime factors of t?\nAnswer: 2, 127, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7516 or -82680\/11?\nAnswer: -7516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 1.46. Sort 5, x, 3.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 16.7. Let r = 0.7 - q. Let s = -1669.75 + 1669.45. What is the smallest value in r, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/135135 and 71\/1203930?\nAnswer: 13243230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411.8196us to seconds.\nAnswer: 0.0004118196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/9*u**4 - 2\/9*u**5 - 86\/9*u**2 + 2\/9*u**3 + 0*u + 8 = 0. Calculate u.\nAnswer: -2, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -15, 4, -2, 16 in increasing order.\nAnswer: -15, -2, 4, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -287*u**6\/30 - u**5\/10 + 301*u**2 + 277*u. Find the first derivative of o(l) wrt l.\nAnswer: -1148*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, and 2 h when four letters picked without replacement from htarhcachc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, b: 2, m: 1, g: 8}. Give prob of sequence gmg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*t + 4*u + 58, 2*u = -2*t + 28. Let f = t + -14. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(176))**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 367151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 23, 12, -3, -22, -45, -72?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40\/149 - 16075\/7152. Calculate the common denominator of y and 25\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*u + 43531, -5*j - 4*u - 1744 = -74274. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 times 10\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {q: 1, h: 3, v: 2, g: 1, u: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -7.9\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -317974798*c**3*l + c**2*l - 66697*c**2 + 11*c*l + l wrt c?\nAnswer: -1907848788*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/((-705)\/390)*(9\/(-6))\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -654329*m + 654332*m + 83, 4*q + 3*m + 55 = -36 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 5*p + 1. Let o = -6 - -11. Let q be l(o). Suppose -q = 3*t + 2. Sort t, 4, -6 in descending order.\nAnswer: 4, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 5*t = -41*c - 40, -t - 24 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*m = 0, -3*a + 5*m = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 868*y + 73*y)*(y**3 - 5 + 5) in the form x + f*y**4 + j*y**2 + p*y + k*y**3 and give f.\nAnswer: 941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 536213 (base 8) to base 2\nAnswer: 101011110010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22c - -c37b1?\nAnswer: c3582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7.2 (b) -1.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*n = 6, -3*z + 0*n - 5*n = -4. Let i be 142\/1*z\/4. Let d = 133 + i. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*s + (-3 - 2 + 3)*(0 + s + 0) - 11*s + 9*s - 31*s)*((-2 + 3 - 2)*(-2 + 4 - 3) - 4 - 1 + 2) - 4*s + 2*s + s.\nAnswer: 63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-142*g - 129*g + 174*g)*(g - 3*g + 0*g) - 2*g**2 + 2*g**2 - g**2 + (-g + 2*g - 3*g)*(-10*g + 11 - 11) as k + y*g + a*g**2 and give a.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 2, o: 1}. What is prob of picking 2 g and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -u + 6, 67 + 5 = 2*u + 4*n. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4234110, -4234150, -4234216, -4234308?\n\"Answer: -13*z**2 - z - 4234096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -4 (b) -5 (c) -31\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - 9*r**2 - 15*r + 33. Let u(y) = 4*y**3 - 9*y**2 - 15*y + 32. Let i(p) = 3*d(p) - 4*u(p). What is i(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let x be 104\/(-672) + (0 - -1)*(-25)\/(-100). Factor 0*a + 0*a**2 + 2\/21*a**5 - 4\/21*a**h + 0 + x*a**4.\nAnswer: 2*a**3*(a - 1)*(a + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r - 35*r - 192 + 9*r)*(2*r - 2*r**2 - 2*r)*(-5 + 2 + 2).\nAnswer: 6*r**3 - 384*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 375625963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1224*w - 1. Let y(n) = 3684*n - 2. What is 13*b(j) - 4*y(j)?\nAnswer: 1176*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866184663?\nAnswer: 7, 89, 2995481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 867, 994, 1177, 1416?\n\"Answer: 28*y**2 + 43*y + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2928 + -2927. What is the nearest to 20 in -4, j, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 11, o: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 175250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -61, -2.\nAnswer: -61, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6767 + -0.7267. What is the second biggest value in r, 11, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-41*39\/819\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366726*r**2*s + 14*r + 29691*s wrt r?\nAnswer: 733452*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*o)*(-252 + 252 + 9*o) to l*o**2 + v + u*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3503153?\nAnswer: 23, 152311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4928*x**3 - 17*x**2 + 17*x + 9587. Let i(g) = 1232*g**3 + 4*g**2 - 4*g - 2399. Let t(h) = -17*i(h) - 4*y(h). Differentiate t(a) wrt a.\nAnswer: -3696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71, -550, -1835, -4328, -8431?\n\"Answer: -67*q**3 - q**2 - 7*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**2*z**2 + 29*n**2*z + 2*n**2 - 2*z - 216 wrt z.\nAnswer: 8*n**2*z + 29*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 337, 0.2.\nAnswer: -55, 0.2, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-85.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27 and 1205?\nAnswer: -325.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29588652097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = z - 6*z - 3, 1652*g + 3 = 1655*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/230, 172\/11, 1\/3, 4, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1790*f + 2115. Let n(k) = -5*k + 1. Let c(z) = 6*n(z) - y(z). Differentiate c(u) wrt u.\nAnswer: 1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -5, -2\/7, -0.3, -65, -5\/2, -9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -30 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 764*c - 783*c + 76. Let q(p) be the first derivative of -12*p**2 - 25\/4*p**6 - 32*p**3 - 29 + 24*p**5 + 0*p - 9*p**c. Factor q(n).\nAnswer: -3*n*(n - 2)**2*(5*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + o = 5*t + 15, 2*t - 4*o + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*z - 3*q = -134*z + 19, 0 = -6*z + 4*q + 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/54901378 and -115\/11364.\nAnswer: 329408268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 45 + 3 = 2*j, 0 = 4*j - 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 8 + 10. Let u(t) = -4*t + 1. Let i be u(v). Suppose y - i - 11 = 0. Solve -2*o + 6*o = -y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 - 91 = -4*g. Let d = 111 + g. Suppose d*j - 1512000 = 2*j. What is j rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-4)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 678 + -1517. Round u to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-953*b**2 - 960*b**2 + 1853*b**2)*(8*b**2 - 3*b**2 + b**2).\nAnswer: -360*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Suppose -q - 6 = -d*t - 3, -5*q = -2*t + 15. Let z = q - -4. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 4*m + 2. Let z be p(4). What is the derivative of -2 + 7*s**2 - s**z - s**2 wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*u**4 + 2 + 5 + 14*u - 7 wrt u?\nAnswer: 264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 + 20. What is s(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15316 and 0.041022.\nAnswer: -628.292952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 21*d**5 - 2*d**3\/3 - 282. Find the third derivative of i(q) wrt q.\nAnswer: 2520*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-4 + 3 + 0 + (-5 + 4 + 0)*(-1 - 4 + 3) + 5 - 2 - 2 - 4 + 5 + 1 + 5 - 2 - 1)*(-2*m - 1 + 1) as y*m + x and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 78*d**2 + 45*d - 383. List the prime factors of z(10).\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 3*m - 2*m + 3*m + 6*m**4 - 1 + 1 + (-21*m**3 + 23*m**3 + 33*m**3)*(-4 + 1 + 1)*(-3 + 7*m + 7 - 4*m).\nAnswer: -202*m**4 - 280*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 less than -98.7?\nAnswer: -98.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u - h - 2*h, -3*u + h - 2 = 0. Calculate the lowest common multiple of ((-90)\/3)\/(3\/u) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from llfifiiilg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + 0*a**3)*(2 - 2 - 2)*(2*a - 3*a - 10*a)*(-5*a - 6*a - 8*a).\nAnswer: 1254*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 62*m**2\/7 + 32*m + 216\/7.\nAnswer: 2*(m + 2)**2*(m + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -240*v + 193189. Determine s(805).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 8. Let r = 16 + -15. Let j = -5 + r. Let u be x(j). Solve 0 = -4*b + 2*p, -5*b - 5*p + 10*p = u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38792.88 rounded to the nearest ten?\nAnswer: 38790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(((-160)\/100)\/((-72)\/27))*156.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 977?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000918395 to five dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -244*l + 19893. What is x(82)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341292 is divided by 393?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1192 + -1190. Let c(m) = -m**3 + 3*m**2 - 2*m + 2. What is c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, 40, 142\/5 in ascending order.\nAnswer: -190, 142\/5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15235311 (base 6) to base 15\nAnswer: -a82a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(208) - (sqrt(208) + (sqrt(208) + 1 + sqrt(208))**2 + 4)) + -1 + (sqrt(832) - (4 + (-3*sqrt(832) + sqrt(832) - sqrt(832))))**2.\nAnswer: -272*sqrt(13) + 12486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 46*b**3 - 26*b**3 + 0.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4084\/15 - -272. Find the common denominator of (-2 + (-152)\/(-60))\/(9\/(-60)) and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -5*o - 17*x - 39, -5*x - 9 = 4*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 7, h: 5, u: 5}. What is prob of sequence uamh?\nAnswer: 35\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 10 + 2. What is the hundreds digit of (-35)\/14 + 1\/n + 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d + 3*d)*(5 - 5 + 2) - 5 + d + 5.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.47896cm to kilometers.\nAnswer: 0.0002547896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 34*o - 2445. Calculate the remainder when o is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249 + (-186 - 64) + (137 - -1 - -2).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1040110 and 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12009 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5630 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*p. Suppose 5*x + 17 = -2*y - y, -5*x = -4*y + 24. Let c = y + 1. What is the highest common factor of c and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435806073.\nAnswer: 3, 487, 99431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -18 + 0*u + 1\/9*u**2 + 2\/27*u**3. Factor l(o).\nAnswer: 2*o*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(11) + 1*sqrt(11)))**2 - sqrt(396)\/sqrt(4)) + (1*(sqrt(11) + -1 + sqrt(11)) - (sqrt(11) - (sqrt(11) - 3*sqrt(33)\/sqrt(3)))).\nAnswer: -4*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5498, 5488, 5478, 5468?\n\"Answer: -10*j + 5508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128 - 517 = -43*u - 636 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - 20\/8). Sort z, -7, -2 in descending order.\nAnswer: z, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 279*y + 92*y - 5194 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q**2 - 28 - 23 - 5 - q - 42*q**2.\nAnswer: -134*q**2 - q - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5715, -76967, -0.3 in descending order.\nAnswer: -2\/5715, -0.3, -76967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281 + 307. Let d be (10*(-3)\/(-18))\/(y\/5226). Is 335 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65771 and -0.2.\nAnswer: 13154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 2*t. Let c = -42 + 46. Let k(h) = h**3 + 72*h**2 + 334*h - 62. Let n be k(-67). Solve 0 = -t*x + c*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15023 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78217 and 12.1.\nAnswer: -946425.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:39 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309 and 2884.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1406659*p**3*x*z - 5*p**3 - 43*p*z + p - 177*x + 281*z wrt p.\nAnswer: -8439954*p*x*z - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 - 4*r**2 + r - 3. Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36919175 a multiple of 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 3162083?\nAnswer: 3162005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1228 and -18406\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/7, 1, -3\/2, -27?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.69 - -11.3. Let y be 3\/(-4)*(19 + -18). What is the biggest value in t, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*w + 4*f - 54, 2*w - 3*f = 10. Let g = -7 + w. Which is greater: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -246769.5 equal to -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -4a46?\nAnswer: 4a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (238 - 284) + (-10 - (1 + -5)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.3248g to nanograms.\nAnswer: 854324800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 3*n)*(-3 - 191*n**4 + 5 + 194*n**4 + 3*n**3).\nAnswer: -3*n**5 - 3*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1130122321 (base 4) to base 10\nAnswer: 378553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91902460 and -0.1?\nAnswer: 91902459.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6117213871?\nAnswer: 6117213871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73155*m**2*w + 15131*m**2 wrt w?\nAnswer: 73155*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187857000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 57820*l**3 + 211608948*l**2 - 19171919972*l - 39190738360 = 0.\nAnswer: -2, 95, 7181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29855 is divided by 29713?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002638283379 rounded to 5 decimal places?\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -18*d**2 - 474*d + 167. Calculate t(-26).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/7 - 1*2. Let i be (-2)\/(-2) - ((-715)\/52 - -15). Which is the nearest to 1? (a) i (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20274*t - 10 - 20271*t + 7 - 56*t**2 + 14*t**2)*(-1 + t + 1) to the form y*t**2 + j*t + l*t**3 + i and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333.222 + 332. What is r rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9974 + -1208. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 5. Suppose 0*n = 3*n - 9. Suppose n*v = v. Suppose v*i + i = 0. What is b(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 2, f: 2, i: 1, j: 1, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 52, 3 in descending order.\nAnswer: 52, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 7*y - 9. Let l be u(4). Suppose 0 = -4*m - 0*m + f + 29, -15 = l*f. Let a = -54 + 75. Calculate the remainder when a is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.05 - -0.05. Which is the nearest to 1? (a) 1\/4 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.87 + 45.13. Let m = -30965438.000033 - -30965392. Let y = m + i. Round y to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 5:21 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 42198?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3234937280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 + 3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -3 (b) -11\/10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 6\/7, 9, -1 in ascending order.\nAnswer: -3, -1, 6\/7, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 709831\/19380 - 695\/19. Let r(y) be the third derivative of 21\/85*y**5 + 8\/51*y**3 + 0 + 5\/17*y**4 - y**2 + p*y**6 + 0*y. Factor r(q).\nAnswer: 2*(q + 2)*(7*q + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 80*m + 75.\nAnswer: 5*(m - 15)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.018386 and -18.\nAnswer: 0.330948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Suppose 7 + l = -n. Let r be (-8)\/n*3\/2. Solve 2*g - r = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + y + 19 = 0, -2*y = -3*z + y + 3. Let w = z + 28. Suppose -2*a - w = -5*n, -2*n - 3*a = -4*n - 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4674 (base 11) in base 6?\nAnswer: -44215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 - 8*n + 16. Let j be 3\/3*2*-4. Let z(t) = -t**2 + t - 1. What is j*z(u) - i(u)?\nAnswer: 2*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r**3 + 418610*r**2 - 956660*r + 239160 = 0 for r.\nAnswer: 2\/7, 2, 11958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -1. Let k = j + 9. Solve -w = k*m - 19, -m + w - 2*w = -7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.83*26560.\nAnswer: -1243804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 410*n - 836*n + 5112 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 52 = 53. Let z be (k\/(-10))\/(6\/(-8)). Let j = -12 + z. Is j at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 409, 872, 1465, 2248, 3281, 4624, 6337?\n\"Answer: 10*p**3 + 5*p**2 + 378*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -6791 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4290060\/73914 - 4\/97?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 11 = -15. Let f(k) = -z*k**3 + k**2 - 50*k + 3 + 101*k - 50*k. Let d(n) = -n**2 - n - 1. Let h be -2*1 + 2 + 1. Determine h*f(t) + d(t).\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 2. Let u be g(2). Let c be (-1)\/4 - 26\/u. Let s = 2 - c. Is -2 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t + 3, -5*q + 30 = 5*t. Let y = 21 - 17. What is the second derivative of -r**y - r**q + r + r**2 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32546445 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqccc. What is prob of picking 1 q and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 1. Let t be z(-3). Suppose h = 2*x - x - 10, t*x - 80 = -h. Suppose x = 8*o - 3*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11980 is divided by 11970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 4*o**2 + 5*o**2 + 2*o - 4*o**2 + 2*o.\nAnswer: 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 7, m: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67, -65, -63, -61, -59?\n\"Answer: 2*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111 + -110?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 16. Let y be q(7). Suppose y*d - 23 = 46. Solve 2*u - 1 = 3*i, 0 = i + i + d*u - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2188695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.02, -3, 4 in decreasing order.\nAnswer: 8, 4, 0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 34, 60, 106, 178, 282?\n\"Answer: b**3 + b**2 + 2*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 7. Let d be z(-4). Let n = 5 + d. Is 7 a factor of 1692\/28 + n\/14 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70 - 13d66?\nAnswer: -13dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -49, -120, -251, -460, -765, -1184, -1735?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from xavuvhvvhuduv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1178304893\/1116 - 1055829. Let q = m + -2\/279. Suppose -2*b - l = -5*b + 3, -b = -l - 1. Which is greater: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-8 - (-4)\/(-2)). Let m be a\/(-3) - 3\/(-9). Differentiate -6 + 3 + 1 + 2*f**m wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 7*b - 62)*(-3 - 9 - 14)*(0*b + 2*b + 2*b)*(-1 + 1 + 3*b).\nAnswer: -2184*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)\/k)**(-3\/16)\/(k**7*k*k*k**(-6)))**(-31) assuming k is positive.\nAnswer: k**(4247\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(232\/96)\/(-29).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 597, 948, 1439, 2070, 2841, 3752?\nAnswer: 4803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 - -0.1. Let b = 22.57 + 0.43. Let n = 22 - b. What is the nearest to s in -6\/5, n, 0.3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-17498559.\nAnswer: -1749855.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9053376 and 89\/576.\nAnswer: 27160128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eteeeietiettee. What is prob of picking 3 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 46. Give s(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 163907767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20*x + 216. What is n(-3)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/15 - 7*h**3\/6 - 5*h. What is the second derivative of p(w) wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -805 - -806. What is the third smallest value in 0.5, 17, s?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l + 6. Let w be 2\/6 - l\/24. Solve -1 - w = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*x - 0*x. Solve -d = 3 - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 232562*b**4 + 117662732*b**3 + 14879159418*b**2 - 872981560*b + 12801800 = 0.\nAnswer: -253, 10\/341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 + 4. Let i be y(5). Suppose 0 = q - 25 + i. Suppose 6*p - p - 55 = 0. What is the remainder when q is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5536 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1+17893745397\nAnswer: 17893745396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*v**2 + 18*v**3 - 24*v**2 - 29*v**2 to the form p*v + k*v**2 + h + c*v**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*r - 15*r - 6808. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2 - -7) + -5. Solve -26 = z*o - 6, y = -o - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p - 5*p**2 - 6 - 19*p + 4*p**2 + 20*p. Give u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.177 minus -265665873?\nAnswer: 265665875.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80241727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 11. Suppose 4*g = -4*m + u, 2*g + 2 = 3*g. Let o = -9 - -6. Which is the nearest to m? (a) -0.1 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 8, 2\/417, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -10. Let u = j - -2. Suppose -3*o = m - 2*o, m = -5*o - 8. Sort 0, u, m in decreasing order.\nAnswer: m, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 - 1 + 3 + 14*j**2. Let w(l) = 2*l - 26. Let g(z) = -9*z + 130. Let k(n) = -g(n) - 5*w(n). Calculate k(d(s)).\nAnswer: -7*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 at most as big as -6238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 49853*t**2 - 7*t + 7. Is o(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1214035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 53, 1\/6, -2, 27 in ascending order.\nAnswer: -5, -2, 1\/6, 27, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 6 = -3*b, -2*b = p + 1. Let f(s) = -7*s**2 - 6*s + 24. Let y be f(p). Let n = y + 1804. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75374.4 months to millennia.\nAnswer: 6.2812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/48*(-4)\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(68) + 6*(sqrt(68) + (sqrt(68) + (sqrt(68) - sqrt(68)*-1) + sqrt(68) - sqrt(68))))\/(1*-3*sqrt(4)).\nAnswer: -200*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111122100221 + 10002?\nAnswer: -111122020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 45 = -3*w, 4*w + 2*c = -14*c - c + 60 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6767701 and -3234539.\nAnswer: -10002240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 3, w: 1}. What is prob of picking 3 b and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/14*2\/(-3). Let l = 287 - 290. Put l, 4, s in increasing order.\nAnswer: l, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098727871?\nAnswer: 23, 47770777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j + 20. What is the remainder when s(19) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 254, 258, 290, 368, 510, 734?\n\"Answer: 3*v**3 - 4*v**2 - 5*v + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:29 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1516335 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*2\/(-75) - 28\/(-15). Let z(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 - 5*x + 12. Let y(i) = 4*i + 4*i + 1 - 7*i. Determine u*y(k) + z(k).\nAnswer: 2*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Let b be 2\/4 - ((-6)\/(-4) + -4). Solve -b*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/42)\/((-1)\/(-5) - 102\/135). Solve -3*o - 2*k - 18 = 0, -j*o + 7*k - 8*k - 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.18 + 0.18. Let x = -5459 - -5456. Which is the second smallest value? (a) 4 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let y be r(-16). Suppose 12 - y = -5*c. Let t = -4 + 4. What is the second biggest value in c, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-24)\/132 - 81\/99).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + y + 3 - 11 = 0, -y = -2*d + 4. Solve d*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-159)\/15 - 2\/5. Let x = 45 + l. Suppose 207 = -7245*p + 7268*p. Calculate the remainder when x is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18685957 + -16.2718?\nAnswer: 18685940.7282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 39438576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10104072 (base 9) to base 12.\nAnswer: 175799b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 243 = 235. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l - 32. Let k be r(6). Suppose 0 = -w - 2*o + 27, 2*w + 4*o - 59 = -o. Suppose -w*n + 10*n = k. Sort -1, 2, n in increasing order.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4\/7 + 368*w**3\/7 + 450*w**2\/7 - 14576*w\/7 - 5920 = 0.\nAnswer: -4, 7, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 133281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/36*3 + (-6634)\/3286.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + -3.96. Let n = s - -4.5. Let t = n + -0.5048. Round t to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.5 * 2712\nAnswer: 47460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 345, 764, 1339, 2064, 2933, 3940, 5079?\nAnswer: 6344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 447110 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 9 + 5*k - k + 3. Let p(g) be the second derivative of -g**3\/2 + 5*g**2\/2 + 7*g + 4. What is 4*p(j) + 3*t(j)?\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000224999438 rounded to seven dps?\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.54 - -1.46. What is the second biggest value in -2, -5, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10378*l**5 - 17604*l.\nAnswer: -207560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - -0.3. Let v(n) = n**3 - 2*n**2 + 1. Let u be v(2). Sort -2\/5, i, u.\nAnswer: i, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*s - 11*s - 1487983. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/c)\/c*c**(-1\/10)*c*(c**(-2\/3))**(11\/8))\/((c\/(c\/((c**(-5\/4)*c)\/c)))\/(c*c\/(c\/(c*c**(-6)))*c))**(-35) assuming c is positive.\nAnswer: c**(1717\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -17*u - 137. Give z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1083 by 78.\nAnswer: -361\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2356 and 30876.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01286888 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/882 and 99\/70.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3909070, -3907984, -3906908, -3905848, -3904810, -3903800?\nAnswer: -3902824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d6d (base 14) in base 7?\nAnswer: 10466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 6*j**2 - 2. Let b(m) = m**3 - 5*m**2 - 1. Let d be b(5). Let o be (1 + d)*5\/10. Let y be -1 + o - -4 - -3. Give s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14920147 and 4356?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s + 82*s = 604. Let n = s - -301. Let t(c) = 8 - 4*c**2 - 7 + 1. Let h(l) = -l**2. Give n*t(o) + 5*h(o).\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 13*h**2 - 3*h**2.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -501 - 195. Let f = u + 2086\/9. Which is the second biggest value? (a) 0.05 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 42, 7, 5, -5237, -3 in descending order.\nAnswer: 42, 7, 5, 4, -1, -3, -5237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfvvh. Give prob of sequence fv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-1810009 - (-5 + -3)). What is i rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 22. Let o be d(-12). Let j(z) = -6 - 9 + o - 6*z + 0*z. Calculate j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5789 - -2475. List the prime factors of s.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2 + 0 + 1)*2 - 3*((sqrt(99) - -1*sqrt(99)) + 3 + 3))**2.\nAnswer: 960*sqrt(11) + 10156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38\/45, -0.74, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/15)\/((-34)\/(-170))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396646 divided by -14.\nAnswer: -198323\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in -1.8341, -0.2, 1\/81?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 6 - 1) + (3 - (9 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -146. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*d + 26*d - 99 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1754?\nAnswer: 15786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12600)\/170 + (-4)\/(-34). Let a = k + 78. Suppose -i - 6*r + 2*r + 30 = 0, -a*i - 2*r = -50. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*p**3 - 436205*p + 5 - 7 + 436205*p + 2.\nAnswer: -78*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27602, 12, -4, -3, -7 in descending order.\nAnswer: 27602, 12, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -108. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**(4\/5)\/l))*l**(2\/3))\/(l**8*(l\/((l\/l**(2\/5))\/l*l))\/l))**(1\/21))**1 assuming l is positive.\nAnswer: l**(-104\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 9:01 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030*v**2 - 5131*v**2 + 1026*v**2 + 1029*v**2 + 1029*v**2 + 1023*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-9))\/(-2))\/((3520\/(-72))\/44).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 5*r**2 - 4*r - 7. List the prime factors of s(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1794 + 1794. Solve v*q + 30 = 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.241638ns to days.\nAnswer: 0.000000000000766685625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.2495 (b) -0.4 (c) -7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 1. Suppose 0*m - m + 7 = -2*c, -4*m = -4*c - q. Solve -1\/4*x + 1\/2*x**4 + 0*x**m - 1\/2*x**2 + 0 + 1\/4*x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1591578 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*u - 123 = 0, -89*f - 16*u - 383 = -92*f. Solve 39*n + 0*n - f = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5 = 2*u + 4*t, -5*u - 13 = -t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3195 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 46a?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -3776 in decreasing order.\nAnswer: 7, -1, -3776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538534526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*c - 49*c - 185*c. Let p(x) be the second derivative of x**3\/2 - x**2\/2 + 2*x. What is p(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -729, -2, 0.1, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, -2, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -53, -116, -195, -284, -377?\n\"Answer: r**3 - 17*r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/15 + 3*j**4\/8 - j**3 - 25*j**2. Let r(w) = w**2 + w - 1. Determine g(l) - 6*r(l).\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -134857 less than -162722.3164?\nAnswer: -27865.3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -92*p - 14248. Calculate q(-155).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.9712 + -42. Let r = -0.15 + 0.12. Let a = s - r. What is a rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64872 and 1890192.\nAnswer: 96399792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/21 - ((-2030)\/(-294) + -9). Let b = 30 - 11. Suppose k*x - 181 = 4*m + b, 3*m = 2*x - 200. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18906?\nAnswer: 2, 3, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from mddmzdmbmmmmmmmdmdm?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 1. Let d(b) = b + 52. Give d(m) + l(m).\nAnswer: -m + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 4*z - 5*z)*(-4 - 1 + 3) + (2 - 1 + 0)*(2*z + 3 - 3) - 840 + 840 + 7*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(99)*-1 + sqrt(99))**2*5 + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184293*h*q**2 - 2*h*q + 2109*h - 2*q**2 - 117 wrt q.\nAnswer: -368586*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 39, 3, -0.07, -0.5, 0.12?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**3 + 37*t**2 + 6*t + 10. Let y be m(7). Let h = 996 + y. List the prime factors of h.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = -14*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 - -199. Suppose -b = 3*t - 12 - 7, r = b. Solve 14 = 4*s - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267881839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(125)*3 + sqrt(125) + sqrt(125))**2 + (sqrt(125)*4 + -1)**2 + -5 + 1*(sqrt(125) + -1 + 3)**2.\nAnswer: -20*sqrt(5) + 14625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - 1.5. Let u = -0.4 - v. Suppose 3*m = 12 - 0. What is the nearest to -2 in u, 5, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 734954 + -1234954. What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1781*n = 53*n + 63936 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*1\/(-16))\/(3\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 789277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*v + 4*j - 3, v + 2*j = 10. Let u(t) = t**2 + 11*t + 44. Let i be u(-8). Suppose v*p + i = -p. Is p less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + 0.6. Let d = 14 - 14. Which is the second biggest value? (a) -0.2 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2618*t**3 - 3*t**2 - t - 397981 wrt t.\nAnswer: -7854*t**2 - 6*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 797922?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146280 and 2340480?\nAnswer: 2340480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5529 is divided by 490?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*k + 524 = 157*k. Which is the fifth biggest value? (a) 1 (b) 5\/2 (c) k (d) 42 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2379*v**4 + 887*v**2 + 921*v - 887*v**2 + 2*v**3 + 6*v**5 + 2341*v**4 + 4369*v wrt v.\nAnswer: 120*v**3 - 456*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -4. Differentiate -3*c**2 + 5*c**2 + 4*c**2 + 0 + n wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 878200 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, n: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 15. Let v be c(-12). Let n(g) = 66*g**2 - 5*g + 4. Is n(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23120 + 23118. Let v(k) = 2771*k**3 + 85*k**2 + 85*k - 85. Let o(t) = 66*t**3 + 2*t**2 + 2*t - 2. What is j*v(g) + 85*o(g)?\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/109 in 8, 0.3, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 2*k + 1. Suppose 7*h - 5 = 2. Let u be -2*h*4\/(-24)*-3. Determine g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 23*j**2 + j + 27. Let b be ((-23)\/2)\/((-15)\/(-30)). Let g be x(b). Suppose 4*a - 4*o - 24 = 0, a + g*a - 14 = o. Solve f + a = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/236*(-588)\/(-5733)?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.997 + 325.403. Let y = 329.2101 - g. Let b = -0.199 - y. What is b rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(8\/5)*(k**32*k)\/k*(k*k**(-13))\/k assuming k is positive.\nAnswer: k**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 - f - 5)*(57 + 325 + 1363) as o + u*f and give o.\nAnswer: -15705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:26 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 152 (c) 1 (d) -0.5 (e) -0.3 (f) 249434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 11*s = -6286. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2113 and 4688.\nAnswer: 9905744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, m: 5, c: 1, d: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -706706*p. Let b(r) = 6*r - 19. What is g(b(h))?\nAnswer: -4240236*h + 13427414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**2. Let t(k) = 3*k + 2. Let w(o) = -9*o - 7. Let p(g) = 7*t(g) + 2*w(g). What is n(p(z))?\nAnswer: -90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 14 + 0)*(-20*f - 18*f + 30*f) to r + o*f and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 4*v + 2*v)*(-290 + 290 - 31*v) as c*v + f*v**2 + l and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((84\/(-56))\/((-3)\/(-5)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194516 = -29*k - 194690 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(2\/12). Let l(p) = -6*p**2 - 2*p + 2 + 3*p**m - 3*p - 4*p**3. Let z be l(-5). Solve z*j = q - 3, -3*q + 2 = -q - 3*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170422 and 3478?\nAnswer: 170422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Suppose 0 = -2*z - 3*z + 50. Let j be (9 - z)\/(1\/2). Give h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 10*o - 6*o)*(-3*o**2 - 5*o**2 + 3*o**2) - o**3 + 0*o**3 - 5 + 1 in the form d*o**2 + n*o + l*o**3 + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 242389 = -4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 27*h**2 + 40*h + 306. Give f(-28).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74942 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poe when three letters picked without replacement from {p: 5, e: 1, b: 3, o: 1, c: 2, s: 1}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 5*v + 11, 5*g + v - 101 = -82 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39816 - 119372\/3. What is the common denominator of p and 284\/(-2121) + 4\/14?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0 - 1) + 8 + 5 + 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/2, -305, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/((1 + 0\/(-8))*-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.2 + 13.2. What is the closest to t in -2, -0.2, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86414, -172830, -259246?\n\"Answer: -86416*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*n = -165, -85*k - 3*n + 295 = -83*k. Solve -42*y = -14*y + k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 58*j**2 - 368*j + 672.\nAnswer: -2*(j - 21)*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u**2 + 4*u + 2. Let k(a) = 19*a**2 - 9*a - 4. Suppose 0 = -15*z + 41*z + 338. Determine z*c(w) - 6*k(w).\nAnswer: 3*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/5 of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/4408860 and 51\/160?\nAnswer: 35270880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 5*t - 2*t - 5*t - 2*t**2 - 2*t**3 to the form u + c*t**2 + l*t + p*t**4 + j*t**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.93 - 7. Let p = f + 0.024. Let l = p + -0.564. What is l rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*a = -3*a + 5, -14 = p + 2*a. Let t(c) = -5*c + 5. What are the prime factors of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 57*p**2 - 2*p + 40. Let i = -711 - -730. Let o be q(i). Sort -6, 8, -2, o in descending order.\nAnswer: 8, o, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 4513796829956*h**2 + 0*h - 4513796829956*h**2 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*a = 1006 + 1018 - 1994, 0 = -16*t + 4*a + 24 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45369.39l?\nAnswer: 45369390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - -2*(sqrt(143) + (sqrt(143) + sqrt(143)*3 + sqrt(143) - sqrt(143)))))\/(3*sqrt(88)\/sqrt(8)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -25*v + 6*v. Solve -5*j + 5*q = -10, 4*q - 4 = -v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:29 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1908 + -793. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, v: 1, r: 4, j: 1}. What is prob of sequence ve?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13737 + 14252. What is the greatest common divisor of 20 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 6*s - 3*s - 1. Let f(z) = 1 + 352*z - 340*z + 2. Give -3*f(t) - 8*u(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1914319*q + 1 - 1.\nAnswer: 1914319*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/60 + s**5\/15 + 7*s**4\/24 + s**3\/2 - 162*s**2. Let o(j) = -j**3 + 3*j**2 + 6*j + 2. Give 3*m(t) - 4*o(t).\nAnswer: -2*t**3 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 1703*y**3 + 6825*y**2 + 5121*y.\nAnswer: -y*(y - 1707)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -30. Calculate the greatest common divisor of 112 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Suppose h*c - 730 = 2*b, -c - 5*b = c - 347. Suppose 5*n = c + 414. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/5)\/((-2)\/45)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 24 = d, 2*w - 1 = 5*d + 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 3*k + 137 = -116. Put -2.2, 1\/5, -0.4, k in increasing order.\nAnswer: k, -2.2, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -30*b + 1236. Let h be n(41). Calculate the greatest common divisor of h and 510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2631*n - 598*n + 2753*n.\nAnswer: 4786*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 741781 = 5*i, 5*t + 1228751 - 4937656 = -2*i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593835009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 61*v + 10*v + 125*v = 0. Solve c + 8 = 5*y, -4*c + 3 + 5 = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - 48\/(-9). Let q = a - 1. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33423 - 624?\nAnswer: -33a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 42*f**3 - 24*f**3 - 16*f**3 in the form x*f**2 + m + i*f**3 + b*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 11*j + 10. Suppose 32*c - 33*c = 9. Let d be g(c). What is the highest common factor of d and 462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e1c92 (base 15) to base 6.\nAnswer: -23154002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 2*q**2 + q**2)*(34 - 80 - 29899*q + 46 - 3006*q + 4879*q) as r*q + l*q**3 + y + t*q**2 and give l.\nAnswer: -28026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5160*a - 5140*a - 400 = 0. Solve -142*t + 140*t = -s + 4, -a = -5*s + 4*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1910 and -0.035359.\nAnswer: 67.53569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 37 - 8*m**2 + 55.\nAnswer: -8*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:07 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -59*w - 4. Let r(t) = -18*t + 15. What is j(r(m))?\nAnswer: 1062*m - 889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u**(-7)\/u))\/u)*u\/(u**(-1\/4)\/u))\/(((u*(u*u**(-1\/6))\/u*u)\/u)\/u*u**(-8)) assuming u is positive.\nAnswer: u**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 308 and 26.\nAnswer: 8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsss when four letters picked without replacement from dssssdggsgg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*r + 35, 2*k - 39*r - 89 = -68*r + 38*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3409*k. Let a(t) = -2*t. Determine -1948*a(h) + q(h).\nAnswer: 487*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/126 - x**6\/45 + x**5\/60 + 11*x. Suppose y(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b + 0*b - b**3 - 3*b + (12 + 16 - 17)*(3*b**3 - 5*b**3 - 9*b**3).\nAnswer: -122*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*n + 17*n - 769410. What are the prime factors of n?\nAnswer: 2, 3, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779*q - 2*q**3 + 927*q - 1706*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2 + 1 - 2. Suppose 0 = -2*n - m + 10. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6*(-11)\/(-726)) - -212. Sort -2, 1, d in descending order.\nAnswer: d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 721815.\nAnswer: 1\/721815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v + v. Let z be (28 - 0)\/(-5 + 7 + v). Solve 2*r - 2*u = -z, -6*r - 3*u - 19 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 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: Solve 2*y - 11*p + 4*p = -16, 3*y = p - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286110 = -1030*f + 1047*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 176150*a - 27831702. What is u(158)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 403704749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 11*w**5\/5 - 4*w**2 + 40. What is the second derivative of d(k) wrt k?\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.1. Which is the third biggest value? (a) 0.2 (b) w (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001056507 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 + -80. Let k be (w\/20)\/(4\/10). Calculate the least common multiple of (4\/k)\/((-2)\/(-12)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {u: 1, d: 1, i: 6, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10658\/1*-31*(-24)\/1488 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:30 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - v)*(0 - 3 + 2) - 2*v - 2*v + 7*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 462481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbhbmbbmh. What is prob of picking 1 m and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 285, 3, -1, -4, -22 in descending order.\nAnswer: 285, 3, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 1. Let o(t) = -19*t - 3. Let d(u) = 9*j(u) + 2*o(u). Is 13 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4324 + -0.4467464. Round v to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from {p: 2, w: 3, j: 1, t: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000695 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12222668?\nAnswer: 2, 197, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 1181 + 597 + 4*d + 584.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5574 - -5725. What is the remainder when 765 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32438820?\nAnswer: 2, 3, 5, 29, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0 + 11 - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + -3 - sqrt(19))*6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 15617*q**3 - 15624*q**3 + 47201*q**3 - 15718*q**3.\nAnswer: 242*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.33, -3, 3.85, -1\/2, -4?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1571*w = -7362*w - 292170 - 576480 for w.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481, 3310, 5489, 8018?\nAnswer: 10897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 - 7*w - 16. Let z be k(-3). Suppose -27*p + 30 = -17*p. Put z, -3, p, -5 in descending order.\nAnswer: p, -3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 31*o**2 - 2*o + 31. Let d(b) = -175*b. What is c(d(z))?\nAnswer: 949375*z**2 + 350*z + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1231, -9627, -32393, -76711, -149763, -258731, -410797?\n\"Answer: -1197*p**3 - 3*p**2 - 8*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 481*m + 3 - 353*m in the form j*m + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 4*n + 4. Let p be l(4). Let r be (-3)\/(-5)*p\/12. Which is the smallest value? (a) 1 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 4, 21, -45786, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 69256900 to the nearest one hundred thousand.\nAnswer: 69300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0*p - 1\/60*p**5 + 0*p**4 + 0*p**3 - p**2 + 0. Let u(x) = 5866 - 5866 - 6*x. Determine v(u(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -0*g + g - 4*d, -3*d + 20 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16514.3 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*f**2 - 98*f**3 - 39*f**2 + 78*f**2 + 29*f**2 wrt f?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -25. Let l = 5 + k. Let h = l + -32. Solve 2*q + h = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 820010041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 124, 275, 536, 943, 1532, 2339?\nAnswer: 3400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2119*u + 5140*u + 3060 = 2409*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 541666 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5*f - 9)*((-1 + 2 + 0)*(0 - 1 - 1) + 36 - 2 + 3).\nAnswer: -175*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -4 - (7 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2135241*t**2 + 6*t**3 - 10*t**3 - 2135250*t**2.\nAnswer: -4*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1424\/(-10))\/((-6)\/15). Suppose -8*i = -12*i + s. Suppose -i = -3*n + 58. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38013*p**6 + 55759*p**2 wrt p?\nAnswer: 4561560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -40. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4734 and -41\/1659.\nAnswer: 2617902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/7 + 30*x**4\/7 - 158*x**3\/7 - 988*x**2\/7 - 1377*x\/7 - 578\/7 = 0. Calculate x.\nAnswer: -2, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 3*t**3 - 2*t**4 - 3*t**3 + t**3 - 2*t**4 - t**3 + (2*t**2 + t - t)*(-t**2 - 2*t + 2*t) + 19*t**3 + 3*t**4 - 19*t**3.\nAnswer: -3*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4583013*d**3*z + 448888*d**2*z + 3*d*z wrt d?\nAnswer: 27498078*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 6*y**2 + 74*y**3 + 0*y**2 + 26866 - 26863 - 6*y**2.\nAnswer: 74*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4031 is divided by 370.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.165 - 0.0403844245.\nAnswer: -0.2053844245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11459 divided by -2\nAnswer: 11459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945 at most as big as 1945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= -87\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**3\/3 - 3*z**2\/2 + z - 4. Let j be v(3). Is -2\/5 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -819 (b) -1 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 179 = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egee when four letters picked without replacement from {g: 5, e: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.3. Let c = 2 - u. Let i = 95\/498 - 2\/83. What is the smallest value in c, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51, 2, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 706 - 359. What is the remainder when m is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 53\/2. Let r = -1951 + 1951.1. Suppose -5*d = -2*q - 4*d - 11, 3*q - 3*d = -24. What is the nearest to r in s, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2602 is divided by 287.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31876 + 1229*z + 31876 to the form n + m*z and give m.\nAnswer: 1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 436, 921, 1400, 1819, 2124, 2261?\n\"Answer: -9*o**3 + 51*o**2 + 395*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 3512*g**2 + 767360*g + 1548800.\nAnswer: 4*(g - 440)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6 + 6 + l + 4. Calculate t(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**8\/56 - 3*a**5\/20 + 5*a**2\/2 + 6*a. Let q(m) be the first derivative of x(m). Find the third derivative of q(r) wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 times -0.883?\nAnswer: 415.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184*-3.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16327*z + 11 = 16331*z + v, 0 = 5*z + 3*v - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*l + 76 = 0, -7 = -a + 4*l - 67 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 26 = 2*l, 3*j = l - 17 - 1. Suppose -2*i + 2 - 17 = 5*o, 0 = 5*i - l*o - 40. Calculate the remainder when 18 is divided by (-1 - -4)\/(3\/i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, z: 4, e: 2, r: 2}. What is prob of picking 1 r, 1 e, and 1 l?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5462.4 + -5506. Put -4, -0.1, i in descending order.\nAnswer: -0.1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -154*a**3 + 73*a - 3. Let k(r) = -307*r**3 + 148*r - 7. Let y(i) = 3*k(i) - 7*l(i). Find the second derivative of y(u) wrt u.\nAnswer: 942*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 8:36 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -34656\nAnswer: 1\/5776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 85.8. Let o = -2.2 + m. Which is the third biggest value? (a) -3 (b) 0.5 (c) o (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 1. Let v be m(-1). Let n(b) = 2*b**2 + b - 4. Let k(y) = -3*y**2 - 2*y + 3. Suppose 122 + 649 = -181*c + 47. Determine c*n(h) + v*k(h).\nAnswer: h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 21*l**2 + 83*l + 29. What is v(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 136 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -5, 9, 10, -12 in descending order.\nAnswer: 11, 10, 9, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 32. Let m = q - 2. Suppose -5*t + m*t = 0. Solve -25 = 5*v - t*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 - 4\/7*g**3 + 0*g - 4\/7*g**4 + 0.\nAnswer: -4*g**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 3, h: 3, m: 2, b: 7, w: 1}. What is prob of sequence hbt?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-6)\/(-7730)*(-7726)\/6. Let u = -282153\/15460 + d. Find the common denominator of u and 79\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*j + 52 - 114*j + 31.\nAnswer: -2*j + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -3*r**2\/2 + 279*r - 338. Let m(l) = -3*l. Calculate k(m(h)).\nAnswer: 9*h + 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335657 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, u: 1, v: 1, b: 2, o: 1}. What is prob of sequence uv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 121, 282, 509, 802, 1161, 1586?\n\"Answer: 33*f**2 - 4*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121681, -243367, -365055, -486745?\nAnswer: -608437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (786\/(-168) - -5) + (-1)\/(-4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -45 (b) 1\/5 (c) -3 (d) -1 (e) -12 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 55. Find the third derivative of -2*g**2 - b*g**3 + 3*g**5 + 11*g**3 wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4845.4015 - -0.006?\nAnswer: 4845.4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136784 and 8.\nAnswer: 136784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10331 (base 4) to base 10\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -173, 2, -8522.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/3 - (-8 + 1))*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -803 divided by -2.\nAnswer: 803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -273, -422, -571?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000944376739 to seven dps.\nAnswer: 0.0009444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a factor of 1684865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -0*t - 3*t. Calculate the remainder when t is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0. Suppose 4*t - 5*z + 10 = r, -3*t - 3*z + 0*z + 6 = 0. Suppose t = -0*w - 2*w + 36. What is the least common multiple of 3 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.8349 years in months?\nAnswer: 3970.0188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393481 + 36959 = 43*z - 209873. What are the prime factors of z?\nAnswer: 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*z = -220, 2*q = -0*q - z + 88. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -277. Let l be w\/18 + (-6)\/(-4). Let d(q) = -7*q - 52. Let k be d(-10). Is k <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -1899, -2872, -3879, -4932?\nAnswer: -6043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10440 (base 6) to base 8.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6*j - j - 13 = 0, 5*j = 5*u + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 5. Let k be y(4). Let b be (1 - 2)\/(((-42)\/(-192))\/k). Let g be (-4)\/32 - 36\/b. Solve -3*r + g = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 450*d**2 - 834*d**2 - 5762 - 4*d + 405*d**2 with respect to d.\nAnswer: 42*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, 2\/7, 0.804?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 96160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.168992018 and -74607.\nAnswer: -74607.168992018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5775 and 324555?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200) + sqrt(7200)*2 + sqrt(7200))\/(sqrt(10) - sqrt(1960)\/sqrt(4)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Suppose w - 6 - h = 0. Let l(i) = 3*i**2 + 71*i + 73. What is the smallest common multiple of w and l(-23)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:01 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(21)*1)\/sqrt(7) + 0 + sqrt(48))**2 + 1.\nAnswer: 20*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47*38\/(-207176)*8?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6640\/2490)\/((-1)\/(-30))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5*g - 6. Let w be r(-7). Differentiate -1 + 3 - 1 + w + 3*u**3 with respect to u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/490*2\/(-10)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 + 5. Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/402 and -49\/4824.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/120 + 5*c**4\/8 - 23*c**3\/6 - c**2 - 9*c. Let d(o) be the first derivative of x(o). Determine d(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271774 is divided by 6968.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 290637 and 290637 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 114*v**2 - 75*v + 1332.\nAnswer: -3*(v - 3)*(v + 4)*(v + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6270 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 8. Let o be g(-3). Is 15 - (0\/o - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + 17 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*f - q + 30, 0 = -4*f - q + 13. Solve -3*t + 20 = f*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -155*n - 58. Calculate the least common multiple of z(-1) and (6\/12)\/((-1)\/(-2)).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/48 + z**3\/6 + z**2\/2 + 4*z - 9. Let t(c) be the first derivative of k(c). Suppose t(q) = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5162323 to the power of 1\/2, to the nearest integer?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 6*i - 128*i)*(-3*i**2 + 9*i**2 + i**2) - 1 + 1 - 2*i**3.\nAnswer: -905*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72224166.\nAnswer: 2, 3, 7, 1719623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9610 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -4*n**5\/5 + n**4\/4 - 11*n**2\/2 - 11. What is the second derivative of j(u) wrt u?\nAnswer: -48*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 15888*v**4 + 42023680*v**3 + 36882122332*v**2 - 334762272834*v + 521659612628 = 0.\nAnswer: -2651, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 541901*x**4 + 10159*x**5 - 8112*x - 1689*x**5 - 541901*x**4 wrt x.\nAnswer: 169400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 15, 3, -3, 0.\nAnswer: -38, -3, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b + 2. Let p be x(2). Let j be ((-16)\/(-2))\/(1\/5). Suppose j = -p*d + 2*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - ((-1 + sqrt(325))**2 + sqrt(325)) - sqrt(325) - sqrt(104)\/(sqrt(8) + 1*sqrt(8))) + 3 - -6*sqrt(52)*-3*-2) + 2.\nAnswer: -321 + 153*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.67334812 to one dp.\nAnswer: 63.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 2. Let u be b(-1). Suppose 0 = 4*s + 2 - 10, 0 = -4*j - u*s + 170. Suppose -55 = -c + j. Calculate the highest common factor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 + 365208*n**3 - 11115105462*n**2 + 22227654528*n + 33343125201 = 0. What is n?\nAnswer: -1, 3, 60867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, -111473 in decreasing order.\nAnswer: 21, -1, -111473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:11 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389195.\nAnswer: 5, 77839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99960, -199930, -299894, -399828, -499708, -599510?\nAnswer: -699210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 36830 + 36835 + 3*o**2 - 73665 - 4*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 13*d = 28*d. Solve -3*l - 4*x = -1, d = 3*l - 5*l + 4*x + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19530 - 19530. Is -2\/11671 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*t**2 + 62*t**2 - 129*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**2 + 0*x**2 + (11*x - 5*x + 2*x)*(x + x + 3*x) + (2*x - x + x)*(0 + 0 + 2*x) + 1 + x**2 - 1.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1286, 1296, 1320, 1364, 1434, 1536, 1676?\n\"Answer: d**3 + d**2 + 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - ((-78)\/(-13))\/((-21)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 5*s - 93 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccckkkkckccc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37034505 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5 - 6068*f**4 + 3029272*f**3 - 477532160*f**2 - 9980346368*f - 37580963840 = 0.\nAnswer: -14, -5, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717505?\nAnswer: 5, 19, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l. Suppose -2*h = -l*h - 68. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -118*b + 3. Let n(i) = -2*i + 1. What is -5*n(y) + w(y)?\nAnswer: -108*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 5*x**2 + 1. Let h be w(5). List the prime factors of 3 + (3 - h - -7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {h: 6, g: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 4*s + 51. Let z = 32 + s. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 3*w + 50. Let k be (-20)\/7*(2 - (-274)\/(-4)). Calculate the greatest common factor of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**6 - 5\/42*x**7 + 0*x**2 + 0*x**5 + 80*x + 0*x**3 - 31\/6*x**4 + 5\/56*x**8 + 0. Find the third derivative of v(u) wrt u.\nAnswer: 600*u**3 - 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090784 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlnnnnnnnnnnnnnnn. What is prob of sequence nl?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2*4\/8)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299045951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 299?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*t)*(-4 + 2 + 0 + (3 + 1 - 5)*(0 - 1 + 0) - 2 + 6 - 3 + 4 - 2 + 0 + 111 - 3 + 45)*(t - 1 + 1) to u*t**2 + o + m*t and give u.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2851461*l**3 + 3589473*l**2 wrt l?\nAnswer: 17108766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzsjpfcjzz. What is prob of picking 1 p, 1 f, and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0613 and -599383991?\nAnswer: 599383991.0613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*f + 228*f + 436 - 1300 + 435 + 429.\nAnswer: 377*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -395 + 719. Suppose -v = -5*h + t, h - 5*v + 44 = 2*h. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 456\/(-133)*14\/(-4). Let s be 847\/42 - 2\/t. Suppose 0 = -5*h + 2*n - 7*n + s, 0 = -2*h + 2*n. Solve -2*y = h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 + q - 1. Let v(i) = -4*i**2 + i - 1. Let m(h) = 3*p(h) - 2*v(h). Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 12 + 5 - 32*u)*((-5 + 2 - 1)*(4 - 4 - u) - 5*u + 2*u + 4*u - 2*u + 2*u - 6*u).\nAnswer: 32*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p. Suppose -z + 2*z - 20 = p. Let b = z + -9. Solve 3*v - 2 = -b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tututttptptp. What is prob of sequence pttu?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 7:38 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1. Suppose 0 = l + 6*l - 126. Suppose 9*x - 9 = -l. Let t(u) = 6*u - 6. Let v(s) = x*t(s) - 3*g(s). Find the first derivative of v(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:42 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -11*s**4\/12 - s**3\/2 - 9*s**2\/2 - s - 23. Let u be d(-2). Is u <= -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195385.\nAnswer: 5, 23, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10193148600 rounded to the nearest 1000000?\nAnswer: 10193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 60, 85, 130, 201, 304, 445?\n\"Answer: f**3 + f**2 + f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0834 at least -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 - 3?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 + 4*l**2 + 0*l**2 + 0*l - l**2 + 0*l + (2 - l - 2)*(2*l + 1 - 1) + 3 - 2*l**2 - 3 + 5 + 3*l - 3 - 2*l**2 - 2*l.\nAnswer: -8*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7597, 14027, 20457, 26887, 33317, 39747?\nAnswer: 46177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-11)\/((-22)\/60). Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*2.5037\nAnswer: 0.25037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5346 and -104 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30476, -30016, -29556?\n\"Answer: 460*g - 30936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(4\/15)*v*v))**13 assuming v is positive.\nAnswer: v**(-533\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 14) to base 9.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-2\/7)\/(n*n\/n**(-2\/3))**(12\/5) assuming n is positive.\nAnswer: n**(-214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 3:43 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1112755 to three decimal places.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3 + 5*d**2 + 2 + 4*d + 0*d**3. Let c be (14\/(-4))\/(10*14\/160). Give q(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1660)\/(-83)*(-1)\/(-36)*6 + 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -15112\/37?\nAnswer: -15112\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4724248586011\/5460 + 865246997. Let c = -9\/260 + g. What is the common denominator of 47\/42 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 6 = 0, -m - 3*l = -5*m - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-21) + 2\/(-7). Let r = -0.03 - 0.27. Sort r, 1, s in descending order.\nAnswer: 1, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 57. Let w = 227 + -1592\/7. What is the nearest to v in w, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588844926 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37375, 149220, 335631, 596608, 932151, 1342260, 1826935?\n\"Answer: 37283*s**2 - 4*s + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/7 - 44*m**4\/7 + 3182*m**3\/7 - 33304*m**2\/7 + 13800*m - 12096 = 0. What is m?\nAnswer: -56, 2, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose c*f - 4810 = -806. Let u = f + -671. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 6*l**5 - 3*l**5 + (4 - 3 - 3)*(-3*l + 2*l**5 + 3*l) + (0*l + 4*l - 2*l)*(2*l - 2*l**4 - 2*l) + 4*l**5 - 3*l**5 + 4*l**5.\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006255 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - ((-91)\/10 - -1) and 2\/7 + (-1107)\/(-168)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46944)\/6520 - 2*-4)*2\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 243 + 73 + 85 - 26*s)*(0*s**2 + s**2 - 5*s**2).\nAnswer: 104*s**3 + 40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (-862)\/120 - (-148)\/(-370) and (-102)\/(-8)*(-30)\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 4098926349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:42 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/((-10)\/25). Let j(b) = -b**3 - 4*b**2 + 0*b**2 + 2*b**d + 2*b - 6 + 4. Is j(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 44. Let h be c(-24). Let t be 3 - h\/16*0. Suppose 227 + 15 = y + t*l, -4*y + 3*l = -1013. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(7200) + -2)**2 - 3*(sqrt(50) - (sqrt(50) + 1)*-2)) + -5.\nAnswer: -1245*sqrt(2) + 36008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243765*d**2 - 41170 wrt d.\nAnswer: 487530*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000125817067 to six dps.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252802315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10 + 6. Suppose -4*f + 3*f + 3*j = 4, -2*j - 14 = -z*f. Solve 5*k - f = 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-17 + (4 - 5 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/7158 and 119\/14316.\nAnswer: 14316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -185.\nAnswer: -7\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 17. Give l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 459*t**7\/7 - 347*t**3\/6 + t**2 - 922*t. What is the second derivative of p(y) wrt y?\nAnswer: 55080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.63 - 0.47. Let g = -56.9 + n. Let b = g - -75.0035. What is b rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 + 13*a**2 + 5*a**2 + (a**2 - 5*a**2 + 3*a**2)*(-2 + 1 + 0) + (2*a - 1 + 1)*(2 - 2 + 2*a) + 0*a**2 + 3*a**2 - 4*a**2.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2287531*o - 5513876 wrt o?\nAnswer: -2287531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -216 times 0.21\nAnswer: -45.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 204779076?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or -2.378?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 18*y**2 - 16*y - 31. Suppose 0 = -4*w + 4*m - 56, -m + 23 = 2*w - 4*w. Let g be 2 - (-177)\/w - (-3)\/(-9). What is the hundreds digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*g**4 - 27*g**4 + 50*g**4 - 33 - g + (-1 - g + 1)*(-3*g**3 + 6*g**3 + 0*g**3).\nAnswer: -2*g**4 - g - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -2*sqrt(684))**2 + -4 + sqrt(684) + 0 + -1 + sqrt(684) + (-1*sqrt(133)*2 + sqrt(133))\/(sqrt(847)*2 - sqrt(847)).\nAnswer: 131*sqrt(19)\/11 + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Factor -633\/5*o + 0 - 3\/5*o**2.\nAnswer: -3*o*(o + 211)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-39)\/18 - -2) + 186\/36. Solve -1 - t = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 5*c**2 - 4 + 3 - c + 2*c**2 + c**3. Let v be 0 - (0 - -6)\/(-3). What is t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*m + 12, 2*m = -5*u + 15. Let y = 19 + -4. Suppose 4*v = -k + 18, 0 = -3*v + 7*v - 16. Solve p - k*p + y = -2*g, -u*g - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -233, -619, -1159?\n\"Answer: -77*f**2 - f + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.059 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77741 - 7?\nAnswer: -77748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 2*k + 1. Let n be 19\/3 - (-2)\/(-6). Let i(b) = 4*b**2 - 4*b + 2. Give n*i(l) - 13*r(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15975 - 10678. Suppose 149 = 22*t + v. Is t equal to -234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -0.3 (c) -2 (d) -3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 41 - 31 = 0, 0 = 5*z + 5*f - 125. Suppose 0*g = -3*g + 60. Suppose -g*j + z*j - 36 = 0. What is the lowest common multiple of j and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.583 times -0.069?\nAnswer: 12.529227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, -778053, -1\/2, -2\/5 in descending order.\nAnswer: 2, 2\/5, -2\/5, -1\/2, -778053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5484460 divided by 2742230\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1*7))\/1. Let o = -69 - -74. Let d = -128 - -141. Put d, o, n in descending order.\nAnswer: d, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*h - 5*h = -25, 5*f - h = -25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3328 + 8?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -10 + 3 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2925 + -2929. Let g = -25 - -29. Which is the closest to h? (a) -3 (b) g (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -497, -755, -1013, -1271, -1529?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102403?\nAnswer: 7, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*c, 11*c + 8 = 3*o - 11*c + 26*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 32*w - 29. Let u be a(7). What is the greatest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022 - -1102221?\nAnswer: 1201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -2*1)\/(2 + 0). Sort 3, 5, p.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -64813\nAnswer: 40\/64813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35013 by 4.\nAnswer: -35013\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133\/3 - -44. Let j be (4\/6)\/(10\/(-30)). Suppose -2*m - 9 = 1. Sort m, h, j in decreasing order.\nAnswer: h, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30102, 30101, 30100, 30099, 30098?\n\"Answer: -u + 30103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 6, -297.46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/(-275) + 2499\/85.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.544019 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 + b + 6. Let g be k(0). Let a(x) = -x**3 - 11*x**2 + 12969*x - 12982*x + 37 + 19*x**2 - 38. What is a(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/149 - -6753\/60494. Let i = -1314\/2233 + f. Is i greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 171808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1177, -2283, -3389, -4495?\nAnswer: -5601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1 - 1 + 2*o**2. Let x = 7 + -4. Let m(r) = -r**2 + x*r**2 - r**2. Give m(s(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58763, 5, -4, -2, -5 in ascending order.\nAnswer: -5, -4, -2, 5, 58763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n - 1. Give y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s - 27. Let n(c) = 3*c - 14. Let a(k) = 6*g(k) - 13*n(k). Does 4 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + 0*t**2 - 2*t**3)*(7 - 1 + 4)*(4 - 3 - 3)*(4*t - 2*t - 3*t) in the form d*t**2 + y*t**3 + l*t**4 + z*t + s and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((9\/2)\/9)\/((-3)\/(-3054)). Suppose 13*u - 41 = -b. Is u less than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.3 - 427934.05245.\nAnswer: -427940.35245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -20, -23, -22, -17, -8, 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*((-2)\/(-2))\/((-603)\/335)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((210\/50)\/(-21))\/(56\/(-35))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*g**2 + 1632 - 3*g - 1632 to z*g + p*g**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33816, -33813, -33810, -33807, -33804, -33801?\n\"Answer: 3*w - 33819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 3*y. Let g(w) = 5*w + 4*w**2 + 5*w**2 - 10*w**2. Calculate -6*g(z) + 10*n(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 4*f. Suppose p = -1, 2*x + f*p - 3*p = 1. Let a(y) = 3*y + 2. Let i be a(x). Solve -4*q = -0*q + i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -11 + 8*r**3 + 35 - 40*r + 2*r**2 + 11*r**4 + 8*r - 13*r**4 = 0?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-3*-6)\/sqrt(12)*2*3.\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*k**2 - 876024*k - 29696 = 0.\nAnswer: -2\/59, 3712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from {y: 6, g: 5, j: 2}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -4*z + 1\/6*z**3 + 0*z**5 + 0 + 0*z**2 + 0*z**4 - 1\/15*z**6. What is the second derivative of b(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.8452874 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y + 372. Let l = y - -25. What is the units digit of 4\/(-22) - l\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p = 56*p - 100 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 120*p + 737. Determine r(6).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1253 divided by -3.\nAnswer: -1253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(182\/130)*2\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85.2 - -85. Is b greater than or equal to 0.148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2182 = -1917*j + 3008*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584263 is divided by 97371.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 - 2*q**4 + 7*q**4 + (-6*q - 16*q + 7*q)*(2*q**2 + 0*q**2 - 4*q**2)*(q - 4*q + 4*q).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/23? (a) -3 (b) 0 (c) -5 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -328, 0 in descending order.\nAnswer: 5, 0, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 less than 40196.2072?\nAnswer: 40148.2072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -3 - 4) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-590)\/110448*-72*(-2 + (1 - -4))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + 3*(3 - 5). Let v be (-135)\/(-54)*-1*l. Let m(u) = u**3 + 5*u**2 + 5*u - 5. What is m(v)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 3 + 6 - 2*c)*(-34 + 595 + 287 + 1108 + 1528) in the form t + l*c and give l.\nAnswer: 6968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/10)*u*u**4*u)\/(u\/(u**4\/u)*u**5))**(-47\/3) assuming u is positive.\nAnswer: u**(-1927\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/24 - 4*k**3\/3 - 24*k**2. Let y be a(14). Let b be (3 + (-12)\/4)*3\/y. Solve b*m - 20 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*n**3 - 4 - 8*n**3)*(24 - 41 + 22) + (1 - 1 - 2*n)*(0*n + 2*n**2 + 0*n).\nAnswer: -14*n**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*3\/(-2))\/(-1). Let h = 0.659 - 0.689. Let a = -55 - -55.2. What is the third smallest value in b, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8, -14 = 2*n - 7*n - 2*t. Suppose n*l + 2*l - 4 = 0. Let m be (2 + 801\/(-3))\/l. What is m rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 944*l - 751423. Calculate t(796).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 18, d: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.7 - -16.7. Which is the closest to i? (a) 1 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:28 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23, 1, -7, -0.2, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-30)*(-26)\/(-13)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/35*21\/(378\/36).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-6 - (2 + -37 + 7)) + (-11 - -14))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + (sqrt(891) + -2*sqrt(891) + 2)*-4)*6)**2.\nAnswer: -93312*sqrt(11) + 2064528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2*sqrt(76)*-3 - (sqrt(76) - (sqrt(76) + sqrt(76)*-1 + sqrt(76) + sqrt(76))*-4))\/(sqrt(12)\/(-2*sqrt(9)\/sqrt(3)))*3.\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3429\/5715)\/(((-48)\/1300)\/(-4)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**6\/6 - h**5\/10 - 26*h**4\/3 - h**2\/2 - 8*h - 1. Find the third derivative of r(g) wrt g.\nAnswer: -120*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/22 and 73\/1712.\nAnswer: 18832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2673986 - -419.01\nAnswer: 2674405.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104 (base 9) in base 7?\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 + 3 = 2*h. List the prime factors of -3 + 9 + h + (-4 - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r - 117168 = -116762 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p - 1. Let q be w(3). Let z be (-144)\/(-405) - q\/9. Let v = z - 19\/30. Which is greater: v or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336100603?\nAnswer: 811, 1647473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-8))\/((282\/940)\/(3\/5)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 129 = -3*v, -v - 132 = -4*v + 4*p. What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -995 + 1015. What is the remainder when 1597 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637099 - 4*y**2 + 637136 + 0*y**2.\nAnswer: -4*y**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2673008251.\nAnswer: 50753, 52667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 - 331*g**2 - 198*g**2 + 104*g**2.\nAnswer: -447*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 178 = 2*y. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20*a + 2*a - 3*a. Let b(w) = 2*w. What is m(b(l))?\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.525126g to nanograms.\nAnswer: 3525126000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 947 divide 567876126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 56 = -3*r. Solve -5*p = r*t - 15, -t = -0*t - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527902 is divided by 423.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 538, 1, -1 in ascending order.\nAnswer: -1, 1, 55, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18\/7 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -156*j - 2024. Let s be b(-13). What is the greatest common factor of 1636 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 4*a - 6*a**3.\nAnswer: -6*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 11:21 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33658 + 67297\/2. Let g = -3 - 17. What is the common denominator of -2 - 0 - 27\/g and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1 + 3 + 6*(sqrt(567) + -1*sqrt(567)))**2 - -4*(sqrt(175)*1 + 3).\nAnswer: 56*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (194 - 200)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20314 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2130 (b) 3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0463 - -45.\nAnswer: 44.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*a + 0 - 2 = 0, 2*x - 28 = 4*a. Suppose -x*g = 2*j + 2*j - 108, g = 3*j + 19. Let v(b) = 12 - g + 2*b + 11. Determine v(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -8 + (-2)\/3. What is the closest to 1\/2 in -1, -2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - (222 + -65)) + 76.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861, -1869, -3549, -5901, -8925?\nAnswer: -12621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.184 - -5.184. Suppose 5*w - 70 = -5*p, 2*w + 2*w - 20 = 5*p. Put 2\/3, l, w, 2\/19 in ascending order.\nAnswer: 2\/19, 2\/3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675729815 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 1317972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*k + 5 - 1, 2*y - k = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159531787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32163 divided by 29?\nAnswer: 32163\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, -2\/39, -4.\nAnswer: -4, -2\/39, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 69\/2*(4 - 2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17999997 + 0.18. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*9\/9 + 355190 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 56848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 + -6 + 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 56 + -88 + 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v + 8*v. Let m(j) = -4*j**2 + 2*j. Let z(i) = -4*i**2 + 3*i. What is v*z(l) + 3*m(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128349 - -128351. Factor 2\/7*l**4 + 0*l + 0 + 0*l**q + 18\/7*l**3.\nAnswer: 2*l**3*(l + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781437 is divided by 555.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -234669.6627 rounded to the nearest one thousand?\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 + -0.5. What is the third biggest value in -0.5, q, 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 + -127. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.9, -2\/17, -40 in descending order.\nAnswer: -2\/17, -0.7, -0.9, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 3804505276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -442031045*y**6 - 6952635*y**2 + 59.\nAnswer: -53043725400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 429, 0, -26 in descending order.\nAnswer: 429, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*l, l + 2*l = -2*g. Suppose g = 3*z - 2*z. Suppose -4*u + 0*u + 36 = z. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -4)*19\/(-73074). Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*sqrt(112))*3 + 1)**2.\nAnswer: -336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 19494.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 45.91 (c) 7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 2 y when four letters picked without replacement from kxzyyzzzkzkzv.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*b = -11, -508*b = 5*k - 505*b + 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(117)*3 - -2*sqrt(1300)) + -5)**2.\nAnswer: -1450*sqrt(13) + 273350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-7)\/(-12)*90*(-8)\/(-10) and 1684\/14 + 6\/(-21)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 21*k**2 - 2*k + 4*k**4 - 20*k**2 as a*k**4 + f*k + c*k**3 + j*k**2 + v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -221210 (base 3) in base 9?\nAnswer: -853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 23. Let x be l(21). Suppose -12*h = x*h - 32228. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186922 or 10280658\/55?\nAnswer: 10280658\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/20943 and 71\/20023119?\nAnswer: 260300547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37470, 74915, 112360?\n\"Answer: 37445*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/3))**40*(a**5*a)\/a**(-2))\/((a**(-3\/7)*a*(((((a\/(a\/((a*a\/(a*(a*a**(-4)*a*a)\/a))\/a)))\/a)\/a)\/a)\/a)\/a)\/(a**0)**(-5\/9)) assuming a is positive.\nAnswer: a**(499\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (23 + (-15 - 9))\/(1*-1). Which is the closest to -0.3? (a) -0.1 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 4) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**3 - 4*y**2 - 9*y. Let r(m) = -14*m**3 + 9*m**2 + 17*m. Determine 9*i(j) + 4*r(j).\nAnswer: 7*j**3 - 13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10676 - 74730\/7. Which is the second smallest value? (a) -2.6 (b) 2\/9 (c) 0.2 (d) h (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 17*h + 20. Let o be s(2). Solve 4*c + 16 = 0, 0 = -11*m + 7*m - o*c - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(432\/(-189) - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 37*o = -11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5822.\nAnswer: -1\/2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 2*y**2 + 0*y**2 - 13*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*m**3 + 9*m**3 - 11*m**3 + (1 + m**2 - 1)*(-2*m + m + 3*m))*(-2 + 1 + 3).\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 i when four letters picked without replacement from nzeezefiezfieznzzndf.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2. Let o(x) = -32 + 33 + x + 0*x. Let h(q) = -1 + 3 - 3. Let r(k) = -4*h(k) - 4*o(k). Give g(r(z)).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - v + 2. Let y(u) = -8*u**2 - 2*u + 3. Let g be ((-21)\/(-35))\/((-2)\/(-20)). Let t(x) = g*y(x) - 13*p(x). Is t(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8766*k*v + 279*k + 3934*v + 2850 wrt k.\nAnswer: 8766*v + 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 2*v**2 + v - 1. Let t be g(-2). Is t + -1 + -3 + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 21. Let a(b) = -b**3 + 12*b**2 - 12*b + 15. Let z be a(i). Suppose 8*g - z*g = 212. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 4128 = -32*d. Suppose 0 = 14*x - 1248 - d. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 314 + 2*w + 26 + 116.\nAnswer: -w + 456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*i + 8, 2*i - 1 + 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 (base 10) in base 4?\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - ((44 - -1) + -39 - 10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50 - 1\/((-3)\/(-6)). What is a rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, s: 1}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231985 = 107368*t - 103799*t for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**(-42)*(d**11*d*d)\/d*d\/d**(4\/7))**(-1\/53) assuming d is positive.\nAnswer: d**(-321\/742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, y: 7, a: 5, x: 2, b: 2, k: 1}. What is prob of picking 2 x, 1 k, and 1 v?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l**2 + 3*l - 2. Let x be v(-3). Let m = 4 + x. Suppose -m*b - 1 = -19. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 3697123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -5615198.\nAnswer: 561519.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33322012 (base 4) to base 16.\nAnswer: -fe86","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 22911 (base 12) to base 10\nAnswer: 46237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*(-252)\/588.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -443*j - 1749?\nAnswer: -443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 94*t + 69. Let p be h(6). Suppose -j + p + 410 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 3890?\nAnswer: -233.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 670 + -608. What is the biggest value in -4, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppggp. What is prob of sequence gg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25196, 25845, 26948, 28511, 30540?\nAnswer: 33041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 117. Let p = 64 + r. Let y be 5\/((-15)\/p) - -44003. What is y rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83928 divided by -226?\nAnswer: 41964\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4))\/sqrt(6) - sqrt(6)\/sqrt(3)*-2.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 8*s = -s + 66 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2353.5999 + -2369.6. Let r = 16 + a. What is r rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -27. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*-3\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l**2 - 4*l**3 - 86 + 49 + 37 as a*l**3 + y*l**2 + f*l + s and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2 + 73104*w + 9958941 = 0.\nAnswer: -24231, -137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 + 0.4. Let j be 62\/31 + 3 - 5. What is the third biggest value in 4, s, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 109045*m\/3 + 109042.\nAnswer: (m - 109042)*(m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 - 2*w - 7. Let o be t(-5). Suppose 3*f = -3*v + 9, f + 4*v = 8 + 1. Suppose q - f = 4. Solve 2*k = -o*k + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:29 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 18\/647?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/20160 - s**6\/360 + s**5\/60 - s**2. Let i(d) be the third derivative of b(d). List the prime factors of i(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51948 or -6077960\/117?\nAnswer: -6077960\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 566212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.95, 11, 14, 6, -2\/11.\nAnswer: -1.95, -2\/11, 6, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - p)*(-4 - 1 - 29429*p + 29782*p)*(0*p**2 + 2*p**2 - 4*p**2).\nAnswer: -2118*p**4 + 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 301233143 (base 6) in base 12?\nAnswer: 18627b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177676?\nAnswer: 2, 43, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257075.\nAnswer: 3, 5, 31, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 5*m + 11*y = -5, 0 = -407*y + 402*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -296*l - 344. Give k(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.032236 + 39.4362\nAnswer: 39.403964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59222958 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 67*c. Let o(w) be the first derivative of -w**4\/6 - 42*w + 57. Let m(x) be the first derivative of o(x). Give m(p(n)).\nAnswer: -8978*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 35. Suppose -w*f - 6 = -9*f. Differentiate 3 + 4*x**2 + f + x**2 with respect to x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*d**2*p**3 - 2*d**2 - 31*d*p**3 - 2*d*p - d wrt d.\nAnswer: 190*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 163 - 5*j**3 - 163 - 4*j + 8*j**2.\nAnswer: j*(j - 2)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66\/4 - 6\/(-4). Solve 4 = 5*d + 3*a, 5*d - 2*a + 4 = h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 487 + 487)*(-4*d**2 + 4*d**2 - d**2) + 3*d**3 + 0*d**3 - 4*d**3 + (d**3 + 0*d**2 + 0*d**2)*(-4 + 2 + 3).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/957 and -40\/609?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/213 and -23\/12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 1756*r - 10540\/3.\nAnswer: (r - 5270)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/12*4\/(-3)*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c - 66*c = 85*c - 184156810. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97)\/(-3) - -5*9\/27.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - n = -7, 0 = -3*j + n + 7 - 0. Solve j*u - 5 = -r, 0 = 2*r + r - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*a - 2*h, -5*h = 5*a - 10*h - 85. Suppose -a = 4*r, 5*r = 5*d + 4 + 81. Let c(y) = y**2 + 19*y - 38. Let q be c(d). Solve -20 = -q*x - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -157 - 899. Let f(s) = -6*s - 9. Let j be f(7). Let h = j - d. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794719?\nAnswer: 23, 109, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4966 + 2605 - 10175 + 2604 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 28*z - 141 - 33 - 11*z)*(3*z**4 + 0*z**3 + 0*z**3).\nAnswer: 51*z**5 - 768*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 0.05, -0.3398949 in ascending order.\nAnswer: -3, -0.3398949, 0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -44, -105, -192, -305, -444, -609?\n\"Answer: -13*x**2 + 4*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661.90212 minutes to days.\nAnswer: 0.45965425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500132956.\nAnswer: 2, 29, 751, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + 11. Suppose 10 = 60*q - c*q. Which is bigger: q or -2\/539?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 572286461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*-2*5. Let b = 1639 + -13155\/8. Find the common denominator of b and 185\/(-25) + v + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 61884 + 8901 = 0. List the prime factors of v.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + (-7)\/2. Let o be 12*1*b\/(-6). What is the third derivative of f**2 - 2*f**2 + 2*f**o + 2*f**2 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s + 9. Let c be p(-7). Suppose -54 - c = -3*v. Suppose 4*m = m + 2*t + 83, -4*t + v = 4*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-12))\/((-16)\/36). Suppose -5*q = -15*q - 10. Which is the second biggest value? (a) 2\/7 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let n be b(7). Suppose n = -5*v + 27. Find i, given that -2*i**4 - 6*i**2 + 2*i**3 - 2*i**5 + 3*i**v + 4*i**2 + i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -9*k - 18, -10515*k + 2 = 2*f - 10516*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973*n**5 - 7*n**4 + 5*n - 680 wrt n?\nAnswer: -19460*n**3 - 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -4 - 4*b - 8*b**2 + 5*b + b + 17*b. Is a(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)*b\/((b*b**(-3\/14))\/b))\/(b*(b**(-3)\/b)\/b*b**(-2\/7)))**19 assuming b is positive.\nAnswer: b**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 4*n - 26, 117*n = 59*n + 53*n - 5 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -84 - 76. Calculate the remainder when 76 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 1, g: 1}. Give prob of picking 1 n and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -13*v**3 - v**2 + 2*v - 3. Let t(k) = 26*k**3 + 2*k**2 - 3*k + 5. Calculate -5*o(h) - 3*t(h).\nAnswer: -13*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -133170 <= -1331697\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -2\/15 (c) 19 (d) -0.3 (e) 5 (f) -0.01 (g) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50098 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(15\/(-12)) - (-25 + 20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 9*h**2 + 10*h + 110. Let g be p(10). Solve -82 = -7*u - g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1254 and 532?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141404 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 + 50*i + 28*i**2 - 23051*i**3 + 23051*i**3 wrt i?\nAnswer: -24*i**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*b + 76, 3*j + 5*b = 23 + 92. Let i = j + -33. Suppose i*t + 237 = 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1782 and 2475.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 47*n. Let r(w) = -17852*w. Give r(v(c)).\nAnswer: -839044*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 + (-420)\/90\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -10001121011211200?\nAnswer: 10001121011211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*m**3 + 31524*m**2 - 160740*m + 19600 = 0. Calculate m.\nAnswer: 1\/8, 5, 980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let t(j) = 4 - 5 - 11 - 1 - 2*j - 2. Determine n(t(s)).\nAnswer: -4*s**2 - 60*s - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 112703\nAnswer: -26\/112703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = 5*u, 2*o - 29 = -5*u + 16. Let i be (1 - -1)\/(o + -4 - 255). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70737.94ml in litres?\nAnswer: 70.73794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 5\/6*p**3 + 0*p**2 + p + 0. Let q(n) = 2*n**2. What is q(s(c))?\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 4*d. Let k(g) = -3*g - 22. Let j be k(-11). Let f be -2 + 1 + -1 + 4. Suppose f*a = 3 - j. Give n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276781 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 12 = -3*y, 93*y - 88*y = 2*k + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, d: 1, q: 1, z: 1}. What is prob of picking 1 v and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3081009 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 72. Let a = 107\/3 - z. Let y = 1.1 + -1. Is y not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5\/7 + 9*p**4\/7 - 6*p**3\/7 - 6*p**2\/7 + 9*p\/7 - 3\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27939140453 - m**3 + 4*m**3 + 27939140453.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 1, -3\/5, 0, 2, -0.27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viis when four letters picked without replacement from {w: 2, v: 8, s: 2, i: 3, y: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6928371*d - 2824674 with respect to d.\nAnswer: -6928371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 4*i**2 + 28*i - 33. Calculate the remainder when 1367 is divided by y(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 1.63102 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396)*-1)**2*-6 + 3)*3 + 0.\nAnswer: -28503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Suppose i - 1 = -0, -2*i + 5 = s. Suppose -s*o + 6*o - 12 = 0. Let r(t) = -t + o*t - 4*t. What is r(q(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119259, 119214, 119169, 119124?\n\"Answer: -45*p + 119304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*g = 326*g. Suppose -2*y - t + 31 = 2*y, y - 3*t - 24 = 0. Solve -5*a - 3*l + 3 = g, -a = -2*a - 3*l - y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 16. Suppose h*d + 2 = 4*v - 2, v = -d + 1. Let o(r) = r**3 - 2*r**2 - 13*r + 1. Let y be o(0). Solve -j + d = y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from {r: 2, z: 13, m: 2, t: 3}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 47*s**2 + 11*s - 473. Suppose -3*a = -0*v - 2*v - 100, -4*a + 122 = 3*v. Calculate the lowest common multiple of a and p(47).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46128*t**2 - 744*t + 3.\nAnswer: 3*(124*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 741\/18*1 + 0. Let r = 41 - q. Is r at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18361f (base 16) to base 14.\nAnswer: -2d4371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/12*155652\/(-42728).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (-45 - -101) - (-14 + -2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1103875196 - 1103875065.9999863. Let r = m + -130. What is r rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50986 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6654323 greater than or equal to -6654324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 161*w**2 - 144*w + 52. Let m(v) = 64*v**2 - 58*v + 20. Give 13*m(a) - 5*r(a).\nAnswer: 27*a**2 - 34*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 greater than 53681\/242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*i - 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/234380 and -51\/890644.\nAnswer: 4453220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-6)\/(-36)). Let s(l) = 48*l**2 + 4*l + 20. Let p(x) = 48*x**2 + 3*x + 19. Let v(w) = m*p(w) + 2*s(w). Differentiate v(q) with respect to q.\nAnswer: -96*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.14 and -1.24821?\nAnswer: -1.4229594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(114\/(-16245)*-38).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 587275*f + 48781 wrt f.\nAnswer: 587275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 526038624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 29*b)*(-4 + 4 - 4) - 4*b + 0*b + 3*b + (-1 + 1 + 1)*(-3*b + 2*b + 0*b).\nAnswer: -94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + p. Let q(z) = 355*z**3 + z**2 - z - 374. Let r(o) = -k(o) - q(o). Find the first derivative of r(v) wrt v.\nAnswer: -1062*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 81, 214, 435, 762?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 + 10 = 0. Suppose -i = -3*i + m. Solve -4*r + 4 = -i*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14919817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {q: 11, m: 2, h: 2}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 1112*x**3 + 28416*x**2 + 173952*x.\nAnswer: -4*x*(x - 302)*(x + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 19*q**2 - 18*q - 16. Let p be x(-10). Let j = p - -1141. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**4 + 26*b**2 + 13*b + 5. Let x(u) = -u**4 - u**2 + u - 1. Let a(c) = -v(c) - 5*x(c). Let a(f) = 0. What is f?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {h: 1, g: 1, x: 2, p: 2, r: 3, t: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 2*w + 8*w + (-42 - 15 + 15)*(0*w + 2*w + 2*w) + 0*w - w - 1 + 3 to the form s + p*w and give p.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-20))\/((-5)\/25). Which is the closest to -1? (a) z (b) 5\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 59*u**3 + 2*u - 1. Let z be r(1). Suppose -80 = 4*b + z. Let o = -25 - b. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -3)*(8 - 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:47 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1279, 15, 1 in decreasing order.\nAnswer: 1279, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**5\/15 - 29*a**4\/12 + 30*a**3 - 350*a**2\/3 - 1000*a\/3 + 60. Factor n(d).\nAnswer: (d - 10)**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-172)\/(-258))\/(30\/(-80)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3557093.\nAnswer: 61, 58313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165.068060412 - 3.\nAnswer: 162.068060412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5578627ms?\nAnswer: 557862.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -373820 + 1156\nAnswer: -372664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3086*h - 3108*h + 174746. List the prime factors of h.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 8. Let z be o(-4). Let w = -370 + 559. Suppose -138 = -5*i + 4*g + 75, z*i + 3*g = w. What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1530\/20 - 3\/2. What is the highest common factor of 30 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4052476835?\nAnswer: 5, 11, 23, 3203539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23949126401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*c - 50506 + 101994 - 51488.\nAnswer: 62*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009203233 to seven dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1547 - 1550. Which is smaller: u or 35\/12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:40 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/17 - (-10)\/(-85). Suppose i*r = r - 0*r. Let t = 272\/21 + -38\/3. What is the nearest to r in 4, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -6*(-1)\/(-2). Let b = 2951 + -2930. Solve 24*p - b*p + 12 = r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/3)\/((640\/400)\/(2\/(-30)))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + sqrt(216)*3)\/(sqrt(3) - 2*sqrt(3)*3) + 3*(sqrt(224)\/(-1*sqrt(7)*1))**2.\nAnswer: -24*sqrt(2)\/5 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/5 and -1\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w - w**2 - 1 - 12*w + 13*w. Let j be d(-5). Let k be j\/6*38*1. Round k to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgpgigkpgcpcp. What is prob of sequence kic?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -19. Let i = b + -15. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3841 and 10855.\nAnswer: 249665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002009 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*12\/(6\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-385)\/126)*5\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507, -485, -445, -381, -287?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 15192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 1 + 1 + (-2 + 3 + 0)*(-j - j + 0*j) + 70*j - 28*j + j - 8*j in the form r + t*j and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -56, -4\/5, -4, 14824, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 16*q + 6. Let u be w(-8). Is (-9526)\/(-10) - u*10\/(-150) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17530 (base 9) to base 10\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2126.026 + -2123. Let d = -0.026 + g. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1473824 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11812*w + 11921*w + 2*w**2 - 1 - 28263*w)*(-6*w + 3*w + 4*w).\nAnswer: 2*w**3 - 4530*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 82*o. Let i(d) = -2*d. What is w(i(a))?\nAnswer: -164*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 588*c - 28812.\nAnswer: -3*(c - 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10075 (base 11) to base 16.\nAnswer: -3983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 377790688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6165440362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -183.9 * 5\nAnswer: -919.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huruuquhhhbhh. What is prob of sequence bb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a20c4 + -1?\nAnswer: 9a20c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*t**4 - 34*t - 4 + 49*t**4 - 10*t**4 as r*t**2 + x + j*t**4 + s*t + z*t**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -444\/17? (a) -8 (b) 0.18 (c) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*b, 75*b - 70*b - i = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 k when four letters picked without replacement from {y: 12, k: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 98*a - 172980 - 73996. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-3\/10))\/(z**(-13)*z))\/(z*z*z*z\/(z*z**4)*z)**7)**(-7))**(-1\/3) assuming z is positive.\nAnswer: z**(931\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 1 - 2\/5*q**5 - 104\/27*q**3 + 8\/3*q**4 + 16\/9*q**2 + 0*q. Solve d(s) = 0 for s.\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 41 - (-10 + (12 - 5)) - (-42 - -33).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, -5, -38, -18 in descending order.\nAnswer: 201, -5, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 54. Suppose -20 = -5*q - z. Solve q*t - 15 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tettbbbtttbtttbttttt. Give prob of sequence tbe.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30191687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-12))\/(-20)*4\/3*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let o be c(1). Let y be (o + (-11)\/(-8))*2. Let s = 171\/2 + -85. Sort 4, s, y in increasing order.\nAnswer: s, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89\/230 + -2\/23. Suppose -2*g + 6 = g. Let x = g + -1. Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928 divided by -928?\nAnswer: 183\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = z + 7. Let v = -310 - z. Let s be (-7)\/(v\/1086) + (-6)\/45. Calculate the highest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217968054.\nAnswer: 2, 608984027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 + 0.1. Let p = -21.02 + a. Let j = p - -20.99999955. Round j to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.48 times -0.2097?\nAnswer: 0.520056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 6\/275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -12*v**4 - 27*v**3 + 6*v**2 + 27*v + 6 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*z - 3 = 0. Let x(l) = 4*l**2 + l - 1. Let q be x(z). Suppose r - q = 24. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(5\/(-20)*-2). Find the second derivative of -13*i**4 - 11*i**c + 15*i**4 - 12*i wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 625, 950, 1405, 1990?\nAnswer: 2705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21502 is divided by 107.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 40. Solve w = h - 4 + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*v + 101 = 0, 2*v = -5*l + v + 140. What is the second derivative of -62*x - 14*x**3 + 11*x + l*x wrt x?\nAnswer: -84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -512 + 782. Let c(v) = 15*v**3 - 116*v**2 + 5*v - 188. Let u be c(8). What is the greatest common divisor of u and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 divided by -22828\nAnswer: -145\/22828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3069130 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.194116g?\nAnswer: 2194.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 256*q**3 + 252*q**3 + 5*q + 28*q - 506*q**3.\nAnswer: 2*q**3 + 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 4015, -2\/21, 12?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100120020001 - 21?\nAnswer: 100120012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -362 + 378. Calculate the highest common factor of k and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -23, -67, -127, -197, -271?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 80 = -7*p + 17*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 14. Let v be o(-12). Suppose 22 = 2*y + 3*r, -r = -v - 0. Sort -5, 0, y in decreasing order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 6*c = -3*n - 32, 4*c - 5*n + 64 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6)*-2)\/(-1). Let w be 2 + (4\/q)\/2. Suppose -4 = -w*o - 0. What is the remainder when 1 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + q**3 - 1 + 84*q**2 - 100*q**2 + 2*q + 2 to l + v*q + n*q**4 + b*q**3 + y*q**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*-1)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*j**5 + 6449*j**3 - 6449*j**3 + (-2*j**4 + 11*j**4 + 18*j**4)*(0*j + 0*j - 2*j).\nAnswer: -130*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.402 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 3*q - 4. Let r be w(-4). Suppose -g - 6*k + 20 = -k, 3*k - 12 = r. Suppose g = 4*u - 41 + 13. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/8 and -93\/166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 811847500 divided by -5\nAnswer: -162369500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 8*y + 135. Determine f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -157 in decreasing order.\nAnswer: 2, 0, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16356, -15457, -13958, -11859, -9160, -5861, -1962?\n\"Answer: 300*s**2 - s - 16655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*x**3*y**2 + 10*x**2*y + 36*y**2 wrt x?\nAnswer: -1230*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 - 13*q**3 - 40*q**2 + 505*q + 10 wrt q.\nAnswer: 24*q**2 - 78*q - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 13 (c) -208\/289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.03612\nAnswer: -0.014448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 82046713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -551, 81, -3 in descending order.\nAnswer: 81, -3, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 10. Let n = 12 + -21. Let t be m(n). Calculate the common denominator of 666\/48*t\/(-6) and -87\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m + l, 4 = 4*m - l - 8. Solve 0*j = m*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 + 88. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -126, -4019, -14080, -33393, -65042?\n\"Answer: -514*f**3 - 295*f + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 - u + 1. Let s be n(0). Let z(y) = 2*y**2 + 4*y + 3. Let g = 2 - 4. Let q be z(g). What is the second smallest value in s, q, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 11*k - 14. Let l(y) = -y**3 - y**2 + 8*y - 7. Let h be l(-4). What are the prime factors of q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 1055089?\nAnswer: 1055088.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 7*i + 14. What is t(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55958 and 8565.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 80699633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and 94.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 18*h**2 + 32*h + 32. Let q be x(-5). Solve -27*d + 19*d - q = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i - 23. List the prime factors of f(-12).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let p(b) = 27*b. Give a(p(j)).\nAnswer: -1458*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2\/(-4))*6*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6225 and 46415675?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**2 + i + 9. Let v(a) = -20*a**2 - a - 14. Let n(w) = 8*l(w) + 5*v(w). What is n(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Suppose -10 = 2*p + 2*l, -l - 3*l = -5*p - 43. Let u(r) = 2*r. Let g(n) = -3*n. Let d(x) = p*u(x) - 3*g(x). Calculate d(f(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-15)*3 + (-682)\/(-310). Suppose t*u - k - 33 - 43 = 0, u - 23 = -2*k. What is the remainder when 48 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/7)\/(152\/(-266))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.28204 millilitres in litres?\nAnswer: 0.08328204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) - (-2)\/(-6). Let p be 2 + (1 - b) + -1. Suppose a - 3*o = 6, 0 = p*a - 5*o - 5 - 6. Solve y + 13 = 5*s + a, -3*y + 27 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2\/5)))\/h)\/((h*h**(1\/5)*h)\/h*h)*h*h\/(h**(-3\/13)\/h)*h*h\/h**(-4\/3) assuming h is positive.\nAnswer: h**(578\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 7690.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u - 6. Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41223 is divided by 2151?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s + 58*s - 34*s - 130 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104*-116*(-7)\/112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-3))\/1)\/(5\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35090, 70433, 105776, 141119, 176462, 211805?\nAnswer: 247148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43.71 from 148.\nAnswer: 191.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96653 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -34414*b - 619440. Determine m(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6\/7, 38, 1.8, 0.37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**3 - c**3 + 0*c**3)*(-c + 35*c - 4*c) to b*c + n*c**3 + i*c**4 + v + x*c**2 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*n + 27. Suppose -2*y + n = 4. Let t(l) = 2*l**3 - 10*l**2 + 6*l - 7. Calculate the remainder when t(5) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 35*v + 381. Let c be y(-25). Solve c = 5*z - 3*s, 15 = 3*z + s + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (376\/32)\/(2\/16). Let o = 98 - r. Suppose -34541 = -9*l - o*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226216.\nAnswer: 2, 28277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + -1 + ((4*sqrt(684)*-2)**2 - (sqrt(684) + sqrt(684) + 1 + sqrt(684) + -3)))*6*-2)*-1.\nAnswer: -216*sqrt(19) + 525284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c - 4*k + 24 = 57*c, -c = -2*k + 9. Let g(o) = -5*o - 18. Let u(f) = 4*f + 18. What is c*g(h) - 4*u(h)?\nAnswer: -h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32939949 to the power of 1\/2, to the nearest integer?\nAnswer: 5739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 20 = -4*d, 0 = -2*d - 0*d - 5*n - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 500\/20*(-4)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus 4508515145?\nAnswer: -4508515144.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -0.08683786.\nAnswer: 0.0199727078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798888981 to the nearest integer?\nAnswer: 28265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (680\/(-272))\/(((-3)\/2)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -5.4. Let b = -5.50047 - x. Round b to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from {j: 2, i: 7, d: 1, g: 7}?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/8 (b) 291 (c) -2249\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:13 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d - 115*d = -24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 18*x**2 + 15*x + 15. Let g be l(17). What are the prime factors of 8*4 - g\/(-19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-104 - -5 - -30).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949 - 1961 + 3391*u + 1012.\nAnswer: 3391*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwnp when four letters picked without replacement from {j: 2, n: 4, p: 1, s: 3, w: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1001 and 437911782.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 354 + -11587899841.64\nAnswer: -11587899487.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 + 0*i + 0*i**2 + 0*i.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - o, 2*y + 2*y - 3*o = 8. Let f = 0 + 3. Suppose 5*b + 4*d + 6 = 0, 2*d - f = -d. Put y, b, 4, -1 in decreasing order.\nAnswer: 4, y, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 80 = k. Let v = -12 - k. Suppose 4*d - 8 = v. Which is smaller: 1\/4 or d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -853.1 - -848.2933. Let m = 0.0833 - a. Let u = 0.11 + m. What is the third biggest value in -0.1, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -7731715?\nAnswer: 7731716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 17*l. Let k(o) = -2*o - o**2 + 0*o + 2*o - 6*o. Let w(y) = -6*a(y) + 17*k(y). Let q(f) = 5*f**2. Give q(w(t)).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let k(s) = -2*s + 52. Let v(w) = 1. Let y(z) = k(z) + 4*v(z). Calculate b(y(j)).\nAnswer: -4*j + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94687 is divided by 5895.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*v = -h + 522, -4*h - 2033 = 2*v - 2011 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 7)*(-10)\/4. Let p = 11 + -12. Let u be 14\/(-16) - 1*-1. What is the nearest to p in 0.1, u, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 9. Let s be b(-10). Is (0 - (-268)\/(-4))\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 6*u**3 + u**3)*(11 - 10 - 12 + 1 - 1 - 2 + (-1 + 3 - 1)*(-1 + 1 - 1)).\nAnswer: 84*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6*s = -9*s - 3, v = -5*s + 23. Solve -v = -u - 0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47862771 - -47863101.99771. Let a = h - 331. Round a to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.02 (b) -1 (c) -0.4 (d) 12544 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 0, -24 = 7*q + 4*v - 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147 + -112. What is the remainder when b is divided by (-111)\/(-9) - 2\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(((-3 - -1) + 1)\/2). Let a(b) = 11*b - 5. Is a(z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) -3 (c) 0.2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 71, -3\/5, 0.07, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -662*y**3 - 3*y**2 + 17*y - 5.\nAnswer: -3972*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - x**2 - 30 + 43*x**2 + 16*x**2.\nAnswer: 61*x**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:24 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -1 - (-116765)\/(-6765)) + (65\/15 - 1)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 15 = 4*y - 16, -2*y = 5*b + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -424*c**3 + 861*c**3 - 436*c**3. Calculate l(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*f = 115*f + 11710. Put -4, -3, f in ascending order.\nAnswer: f, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**3\/3 - 7*x**2\/2 - 5*x. Let w = 6 + -12. Let v be a(w). Sort 4, -4, v in ascending order.\nAnswer: -4, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 11) in base 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/195*(-6)\/12*6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -86. Let h = v - -9.00263. What is h rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 12771225 (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17890)\/214680)\/(8\/6 - 2\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 2\/13, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10672 + 10675. Put -26, h, -3, -5 in ascending order.\nAnswer: -26, -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 1:45 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 387 + 0 + (-3 - 0). Suppose a - 28 = -5*x + q, 0 = -3*a - x + 1222. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000324678 to seven decimal places.\nAnswer: -0.0000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5.6 (c) -0.5 (d) 0 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003222987 to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 4\/10425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19733 - 19633 - (-29 + -1)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8547, -17094, -25641, -34188?\n\"Answer: -8547*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 7*t + 144 = 0. Suppose 5*l - 1932 = t*l. What is the remainder when 56 is divided by (l\/14)\/(-1) + (-6)\/(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.50558 rounded to the nearest integer?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 22*n + 60. What is the lowest common multiple of q(0) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.07, 2, -5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9))**(4\/31) assuming j is positive.\nAnswer: j**(-36\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by 6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -26.964. Let v = g - -0.0359573. What is v rounded to six dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010658 rounded to six dps?\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463379 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -26 + (3 - -5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*t. Let h be 3 - -2*t\/4. Solve -z - 1 = 2*d, 2*z - h = -3*d - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:11 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 - j**5\/15 - j**3\/3 - 7*j**2. Suppose -53 = -5*c + 7. Suppose 3*p = -0*p + c. Give f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.8. Let i(z) = z - 10. Let j be i(15). Suppose -76 = j*f - 61. Which is the fourth biggest value? (a) 3\/4 (b) f (c) y (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4965 is divided by 1239.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/8)\/((-1)\/20) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48352366 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/98 and -65\/3647504?\nAnswer: 25532528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d. Let k(z) = -74*z + 90*z - 1 - 79*z + 1. What is b(k(g))?\nAnswer: 567*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 152. Suppose 30*r = s*r + 15. Sort 4, r, 3, 1.\nAnswer: 1, 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*j**4 + 2 + (-4*j**2 + 10*j - 10*j)*(335*j**2 - 793*j**2 + 266*j**2).\nAnswer: 765*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 + 0 - -2 - (142 + -125)) - -7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12) + (-7)\/(-42)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 - -1.3. What is the nearest to -2\/5 in 4, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10012)\/(-7))\/((-8)\/70*5310\/(-236)). Is 557 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111101000111010 - -10100110110?\nAnswer: 1000111111101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*l + 45, -5*l + g + 45 = -0*l. Suppose 5*p - 3704 = 2*h, l*p - 5*h + 3690 = 14*p. Suppose -7*k - 103 + p = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -50\/1740131?\nAnswer: -50\/1740131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -0.10446.\nAnswer: 0.0073122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1*sqrt(1088) - sqrt(102)\/(sqrt(6)*-3)) + (sqrt(17) - 2*sqrt(425) - sqrt(17) - (4 + sqrt(17) + 3)))**2.\nAnswer: 70*sqrt(17)\/3 + 866\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 377865568*b**2.\nAnswer: -4*b**2*(b - 94466392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 + 3*k**4 + 4*k**4)*(5*k - k - 2*k) - 52*k**3 + 12*k**5 + 52*k**3.\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) 14 (d) -791 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 9 - 11 = 0, -3*v - 25 = 5*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2214\/5 (b) -138 (c) 0.2 (d) 4 (e) -0.6 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -36*t - 123. Suppose -2*i = -5*p + 36, -49*p = -4*i - 48*p - 72. Does 15 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 50, -269, 2\/15, -2, -42 in descending order.\nAnswer: 50, 2\/15, -0.4, -2, -42, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = 7*r + 4*r + w + 4*w, 0 = 5*w - 20 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 13, d: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/8 - 10509*i**4 + 591190083*i**3\/8 - 15283493019*i**2\/4 + 91073929905*i\/2 + 106948781163 = 0. Calculate i.\nAnswer: -2, 27, 13986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1\/9, -1, 162, 1.99, 2, 4?\nAnswer: 1.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3921*z**4 + 1062.\nAnswer: -15684*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2633359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 748660 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 - 12*u**2 - 18*u + 24. What is the hundreds digit of t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 18*j - 7*j - 13*j. Let r = 6 + -1. Let v(n) = 5*n + r*n + 4*n + n. Give v(p(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 13*x - 3\/2*x**2 - 8 = 0?\nAnswer: 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*s**2 + 9953*m**3*s - 8*m**2*s - 6*m**2 - 8050*m*s**2 + 15*s**2 wrt s?\nAnswer: -4*m**3 - 16100*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 302219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -2113*g**4\/6 - 142*g**3\/3 - 4*g**2 + 931*g. What is the second derivative of x(b) wrt b?\nAnswer: -8452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(98) - (sqrt(98) - (-3 + (sqrt(98) - 2*sqrt(98)) + sqrt(98)))**2).\nAnswer: -107 - 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, b: 2}. What is prob of sequence bhq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-7))\/((-4)\/(-868)). Let i be (3 - -129)*(-22)\/(-44). Are i and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457620 and 2868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/19 + 339206*k**2\/19 - 178540*k = 0 for k.\nAnswer: -169613, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-92)\/(-36) - 3) + 32536\/63?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127311420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 15. Let w(v) = v + 6. Let j(i) = 3*i + 17. Suppose 5*g = g - 68. Let h(d) = g*w(d) + 6*j(d). What is h(z(r))?\nAnswer: -2*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -k + 5*k. Let c be k\/(-3*2\/12). Solve c*b - 4 = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 3}. Give prob of sequence zee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/6 + (-12)\/(-18). Suppose 5*t + 4*y = 219 + 41, d*y + 119 = 3*t. Suppose -13*m - t + 9 = 0. Is -3 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 - 152. Let v(d) = -1. Let n(f) = -50*f**2 - 52*f + 4. Let q(u) = t*v(u) - n(u). What is the second derivative of q(h) wrt h?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Let i be 1\/(((-8)\/(-6))\/s). Suppose -5*m + 43 = t, -m - 2*t + i = t. Solve -4*p - m = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 714, -22, -5 in decreasing order.\nAnswer: 714, 3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r**(-12))\/((r\/r**(-13))\/(r**(-2)\/r*r)))**(-1\/5) assuming r is positive.\nAnswer: r**(194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-2*(-2)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - (0\/(-2))\/(-3). Suppose r = 2*n, 3*x + 3*n = 6*n - 39. Let w(i) = -i - 5. Is w(x) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1801732*o**3 + o**2 - 406621 with respect to o.\nAnswer: -5405196*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 711829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -2 + (7654 - 7685)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from wsywjissjwwwwwwwwjlw?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10034416 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.6 - -77.6. Let a = c - 63.999934. Round a to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*t - 20. Let k be ((-5)\/(-30))\/(2\/6). Which is the third smallest value? (a) t (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5548.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*57\/(-6) + 4 + -9. Let x be 202\/22 + (-4)\/22. Suppose 3 = x*f - u. Solve i = -d - 4 + 9, -i = f*d - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1491*i + 533709. Calculate a(-358).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -3, 3, 11, 21, 33, 47?\n\"Answer: n**2 + n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8219328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3601\/7 bigger than -513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1304 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 5*o**2 - 5*o - 10. Let c be (-2)\/(-4) - 156\/24. Let s be n(c). Suppose s*l = 62*l - 1230. What are the prime factors of l?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1191 (base 14) to base 16.\nAnswer: bfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5233, -16539, -33921, -57373, -86889, -122463?\n\"Answer: m**3 - 3044*m**2 - 2181*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 43377.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2448) + -2 + (1 + sqrt(2448) - sqrt(2448))**2 + -1 + -1 + sqrt(2448).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 33*i - 4. Let r be b(16). Let o = -2 - -6. What is the greatest common factor of o and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + a + a + (2 - 5 + 2)*(-2*a - a + 5*a) + (-2 - 1 + 0)*(a - 2*a + 0*a) to s + l*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(((o\/(o\/(o*o*o**(-2\/25)\/o)*o))\/o)\/o)*o)**(-1\/13)\/(o**(5\/3)\/o**(-1\/4)))**(3\/2) assuming o is positive.\nAnswer: o**(-8999\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.27, -0.3, 5 in ascending order.\nAnswer: -2, -0.3, 0.27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Suppose 0 = 2*q - 5*q - b*d + 36, -2*d = -5*q + 34. Let x(c) = c**3 + 7*c**2 + 5*c - 3. Let i be x(-6). Solve -i*z = -q*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.01. Let n = 0.0198 - x. What is n rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppspppppppspss.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 13 = 15*r - u, 5*r - 3*u = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 541901.5.\nAnswer: 541899.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76367, 2, -12, -4 in increasing order.\nAnswer: -76367, -12, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**3 + 2*b**3 - 9*b**3 + 3*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5*f + 5 - 23*f in the form l + g*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-3)\/63). Let y(a) = a - 5. Let v be y(m). Suppose -2 - v = -t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -261, -12\/35, -14, 0.03 in increasing order.\nAnswer: -261, -14, -12\/35, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdpzppzdpzpzzdd. Give prob of picking 2 d and 1 z.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 4*l - 3*f + 7, -4*l + 13 = 5*f. Let q = 35 + -21. Solve -5*k - 4*g = 26, -g = k + l*g + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2.5 (b) -2\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -118142080 divided by 14\nAnswer: -8438720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1521152 (base 7) to base 3.\nAnswer: 101111211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*t - 170 = 0, 2*i + 12 = 3*i + 4*t. Let p = 34 - i. Solve -p*g = -2*v + 4, -v - 2*v - 5*g = -14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11110001110110111?\nAnswer: -11110001110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3091751 is divided by 96617.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4 + 4 + 3*k + 4 - 6. What is the tens digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-13)*m\/m**(-1\/3))**(-36) assuming m is positive.\nAnswer: m**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 37 = 87. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2093*n + 2095*n + 4*n**2 + 2092*n + 2109*n - 8389*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 5. Let t(y) = 26 - y - 2*y + 13 - 43. Let p(c) = 2*q(c) + 3*t(c). Let l(o) = -o - 3. Determine 5*l(z) - 6*p(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 356*v**2 + 3*v - 4. Is k(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 2623*n**2\/4 + 28611*n\/2.\nAnswer: n*(n + 22)*(n + 2601)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 120*x**2 + 4*x - 7. Let b(h) = -40*h**2 - h + 2. What is -7*b(m) - 2*j(m)?\nAnswer: 40*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 11\/30*u**6 + 3*u + 0*u**3 + 0*u**2 + 1\/42*u**7 + 25\/12*u**4 + 7\/4*u**5 - 7. Determine s so that n(s) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - -603. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8*y + 25 = -y. Solve 44*k - 147 = -y*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40 + (-1)\/(-3)*3. Let d be (7 + -3)\/((-4)\/(-30)). Let r = -21 + d. Solve 4*w + 5*k = -q, 0*w - w - k - r = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14941295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x + 4. Let y = 7 + -7. Let l be o(y). Suppose r + 2*h = -l*r + 41, 8 = -4*h. What is the highest common factor of 63 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2877593, 2877402, 2877211?\n\"Answer: -191*t + 2877784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**3 + a. Let v be f(1). Let q = v + -10. Is q <= 1\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330700 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -201372 (base 9) in base 2?\nAnswer: -11101000101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 28*m**2 + 52*m + 5. Let g be w(-26). Let f be 4\/16*0 - (-8)\/1. Let r(j) = -2*j + 19. Let s be r(f). Solve -i - s = -g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, g: 6}. What is prob of picking 3 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -54*t + t**2 - 7 - 62*t + 126*t. Give w(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 202*p - 1112?\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 51*j**3 - 29*j**3 - 23*j**3)*(2 - 2*j - 7 + 0*j).\nAnswer: 2*j**4 + 5*j**3 - 74*j - 185","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 31824*p**2 - 140011853*p + 140011853*p in the form d + u*p**2 + o*p and give u.\nAnswer: 31824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 192 = 0. Suppose -2*t = 7*t - 135. Suppose 0 = 3*f - t, 3*y - 8*y + 110 = -2*f. Calculate the highest common divisor of y and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557356769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17181 and 122590253?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252766352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 - 10*g - 6. Determine o(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 55\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 0 + 253 + -247 - (-1 - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*m + 12 = 0, -4*h + 2*h - 19 = -5*m. List the prime factors of (-12)\/(4\/h) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 50 = 5*n, -2*n - 4 = -h - 9. Let c(b) = b + 2. Let j(w) = -5*w + 4. Let t(u) = -2*u + 1. Let s(l) = 4*j(l) - 11*t(l). What is h*c(d) - 2*s(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 916 by 3.\nAnswer: 916\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 17357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0*18997743\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n - 19*n + 67*n - 25*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 6*z**2 + 17*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**6\/150 + 23*k**5\/50 - 71*k**4\/20 + 166*k**3\/15 - 82*k**2\/5 + 375*k + 7. Factor q(h).\nAnswer: -(h - 41)*(h - 2)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -626, -1416, -2518, -3926?\nAnswer: -5634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((40*y + 28*y - 8*y)*(y - 2*y - 3*y) + (-2*y + 3*y + y)*(-y - 1 + 1) + 2*y - 2*y - 2*y**2 + 2*y**2 + y - y)*(-3 - 1 + 3).\nAnswer: 242*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 20. Let b be y(10). Suppose -325*o + 15 = -320*o. Solve o*t - t - 4 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-135))\/((2960\/(-200))\/37).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 26481813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4039051412?\nAnswer: 2, 11, 509, 180347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/45 + (-358)\/180 + -1 and -31\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108392.563882088 minus 0.8?\nAnswer: 108391.763882088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w + 4*w - 31*w - 6*w**2 - 32*w - 7*w**2.\nAnswer: -13*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 213 - 127 - 100 + 499 - 2*p.\nAnswer: -2*p - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {y: 5, f: 2, m: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6949895 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 - 7 = 0, g + 3*t + 61 = 0. What is the closest to 0 in g, 4, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and (-12)\/(-39)*155\/100?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/42 - -1*2. Suppose 2*i = -i + 3. Let m = 72 - 71.9. Which is the nearest to i? (a) h (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/(3\/1). Which is the closest to 0? (a) f (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2000 and 101\/56118700.\nAnswer: 1122374000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59035, 118021, 177007, 235987, 294955?\n\"Answer: -d**3 + 6*d**2 + 58975*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 119*m**2 + 10*m - 1029. Give p(119).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 10 = 5*y. Suppose 5*f = -2*j - 0*j - 80, -5*f = -j + 95. Let o be (-4)\/42 - f\/189. Put o, -5, 1, y in descending order.\nAnswer: 1, o, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 461922723 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2. Let h(g) = 5*g + 12. Calculate -h(c) - 3*u(c).\nAnswer: -5*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 0*i + 564 = 0. Suppose -48*g = -i*g - 6. Solve g*b - 5*b - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232.00000159 + 232. What is a rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o + 6536*o**3 - 6534*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 61. Suppose 12*v - r*v = -81. Let k = 29 + v. Solve -4*j + 9*j = -k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*v + 9*v + 3*v + 16*v + 17*v + 9*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 11107?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 73*d = 45*d + 6138 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 339441297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 77229763.36 to the nearest 100000.\nAnswer: 77200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -13 + (-4 - -14 - 4) + 16\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + ((-8910)\/24 - 13\/((-208)\/(-12))). Which is the closest to 0.1? (a) q (b) -2\/9 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114633*o**2 + 3721 - 3721.\nAnswer: -114633*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j. Suppose l + 5 + 3 = 0. Let t be n(l). Is 2\/(-16) + 2667\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 117293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -18. Differentiate 0*r**4 + 4 - r**u + 0*r**4 with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43950 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppov. Give prob of sequence op.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -60. Suppose -n*a + 0*a + o = -3, -a + 3*o - 6 = 0. Solve 2*g = -a*r - 16, -g + 0*g = 5*r + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -431248620\/7 or -61606945?\nAnswer: -431248620\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 14305*y + 14300.\nAnswer: 5*(y + 1)*(y + 2860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 251 - 7454 = -2*l, -3609 = -l - 4*m. Suppose -3*k - 2*k + l = 3*n, 1442 = 2*k - 2*n. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12\/(-18) + (-13767)\/27*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004030272 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27528516*c + 15*c**2 + 27528516*c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmk. Give prob of picking 1 p and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g - 32 = 2*t, 5*t + 20 = -2*g. Let p = t + 12. Suppose u - 3*i - p = -5*i, 21 = u - 3*i. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = b + 4*b. Let j = b - 23. What is the remainder when 37 is divided by (-485)\/(-25) - 4\/j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -230133 - -81433. Round z to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 8 + 1. Sort 1, -4, p, -5 in descending order.\nAnswer: 1, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 4*a - a)*((248 - 199 - 986)*(-4*a - 3*a + 3*a) + (-4*a + 2*a + a)*(0 - 1 + 0)) to t + o*a**2 + x*a and give o.\nAnswer: 11247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -27 + 11. What is the smallest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((sqrt(72)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - 7. Suppose -3*q - 4*a = -40, 0 = 3*q + 3*a + m*a - 44. Let o be (8\/12)\/(q\/9). What is the second biggest value in 1, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 109124*j - 327180. Give l(3).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1458251 and -1\/11666008?\nAnswer: 11666008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 78*b**2 + 71*b + 651. Determine l(79).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -17. Suppose -3*q - d = -2*q - y, 59 = 5*q - 4*d. What is the lowest common multiple of ((-4)\/8)\/(2\/(-16)) and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21076 plus -181184.6?\nAnswer: -160108.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 69, 115, 191, 303, 457, 659?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (74*2\/6)\/((-48)\/1512). Let v = o + 1151. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let b = 208 - 206. Is (-3)\/q*58\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 9*c - 3. Let g be x(9). Suppose 0 = 8*r + 123*r + 131. Sort r, -2, g, -55.\nAnswer: -55, g, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, 4, 2, -4, 0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5716.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/(-10)*(-1445)\/2203047*-99.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 421 - 279 = -49 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*7\/((-14)\/116). Suppose 4*z - 4*v - 656 = 0, -88 - 246 = -2*z + 5*v. Suppose -4*k - u = -z. What is the remainder when k is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.751 and 25.73.\nAnswer: 199.43323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h**2 - 6*h**2)*(-5*h - h + 5*h) - 2*h - 2*h**3 + 2*h + (-2 + 2 - 2*h)*(-2*h**2 + 2*h - 2*h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-8))\/(84\/(-1560)*(-2070)\/1932)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 83*q + 33*q + 1 + 38*q**2 + 40*q.\nAnswer: 38*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*z - 282, -213 = 6*z - 9*z - 2*w. Let k = -66401\/7 - -9417. Let v = z + k. Sort v, -2, -3 in increasing order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.07 (b) -2\/11 (c) 5\/7 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 134481 + 3*c - 134485 + 77*c**2 - 31*c**2 in the form z*c**2 + d*c + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let b(a) = -a**2 - 6. Let h(i) = -1. Let s(j) = b(j) - 6*h(j). What is s(t(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61287888 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -22664?\nAnswer: -22664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 + 5*v + 8. Let j be c(6). Let t = 1 - 3. Let p be (-1 - t) + (0 - 1). Solve -j*b - 3*q = -p - 10, 2*q = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -6 - (-7 + 9 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 5. Let f be p(-5). Suppose f = -d + 3*d - 16. Let b = -6 + d. Solve 0 = 4*o + b*x - 14, -3*x = -3*o - 2*x - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 319 = -7*j. Let u(r) = 8*r + 3. Let z be u(-3). Let i = z - j. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7061 - -7715.7. Let t = 615 - h. Round t to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/85)\/((-48)\/52200*-29)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 - 14 = 0. Suppose z*q - 44 = q. Suppose 0 = -3*r - 61 + 58, -4*d = r - 43. What is the highest common factor of q and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*o = 718*o + 319 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15837 - -15867. Solve -34*c = -t*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-152)\/(-2))\/(-19)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4850 divided by -5.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 y when three letters picked without replacement from floyweefefff.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 42. Let b = d - 3. What is the remainder when 31 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*k**6 + k**5 - 119*k**4 - 102175*k**2 wrt k.\nAnswer: 2160*k**3 + 60*k**2 - 2856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -50, 4.\nAnswer: -50, 2\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -458 - -518. Suppose -p - 2*t + 32 = -12, 4*t = -p + 36. Suppose 3*m + 16 = 3*i + p, -16 = -m - 3*i. Calculate the remainder when x is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -53. What is the second biggest value in u, -3, -0.04, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-18) - 35\/(-3). Suppose x = s + 2*s. Suppose -5*u + 3*j = -73, -3*j - j = -s*u + 60. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r - 8. Let g be (6\/3 - 2)\/(-1). Solve r = x - g*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/9)*v)\/(v*(v**(-4)\/v)\/v*v))\/(v**(-1\/4)\/(v\/v**(-6))))**(-13\/5) assuming v is positive.\nAnswer: v**(-5837\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 201*v + 41 = -206*v, 1 = 4*n + 2*v + 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256940 and 128470?\nAnswer: 256940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261467.\nAnswer: 261467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/25?\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70309857*n**3*v**3 + 515221*n**2*v**2 - 27*n*v + v**3 + 3 wrt n?\nAnswer: -421859142*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -62. Let w(u) = u**2 - 13*u - 1760. Calculate the remainder when g is divided by w(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 9. Let c be s(-7). Let a be 5\/((-5)\/9)*42\/(-6). Let z = -58 + a. Solve c*o = -3*v, -z*v - 2 = -12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.441mm to centimeters.\nAnswer: 61.6441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 18, 0, 25, 5, -17\/11, 0.4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6209345 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -35.316 (c) -421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5 + 18*g**4 + 10*g**3 - 432*g**2 - 513*g + 918 = 0?\nAnswer: -3, 1, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19264 + 43763. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -1250?\nAnswer: 8\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66682 is divided by 4763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.3 and -0.1.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9.54214*-1\nAnswer: 9.54214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**2 - 33*l + 13. What is the units digit of n(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0273 from -4244952.\nAnswer: -4244951.9727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j - 5. Calculate y(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-132)\/(-2530))\/((-7)\/35))*-3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 4, p: 1, s: 1, a: 6}. Give prob of picking 1 p and 3 z.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 158\/18 + 16\/72. Let a = c - -6. Suppose -a - 13 = -4*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11120 - -1?\nAnswer: -11115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 21057*m**2 + 42134*m**2 - 21072*m**2.\nAnswer: 5*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.29 - 0.4. Let n = 4.89 - a. What is the closest to -2\/3 in -4, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 325606?\nAnswer: -325605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-10)\/2))\/((28\/28)\/(2726\/(-94)))?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -69. Let s be (-4)\/i + 285\/(-35) + 8. Suppose 5*w - 2*w - 9 = 0. Which is the third biggest value? (a) -4 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*553.\nAnswer: 33.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.864 + -19.764. Which is the nearest to -3.1? (a) p (b) 0.01 (c) 1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 divided by -2?\nAnswer: 367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6189 smaller than -6188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 17 = -2*k, 5*u + 17 = -2*k + 40. Suppose 16 = 3*o + k. What is the least common multiple of o and (-1 + -1)\/((-12)\/54)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-20) + (0 - 2). Let m = -4.1 - -4. What is the closest to o in m, 4, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2. Let x(v) = -82*v + 16. What is x(u(m))?\nAnswer: -492*m**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -3036, 0.5, 0.03, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.773301 decades to millennia.\nAnswer: 0.01773301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {c: 1, t: 1, n: 1, m: 2, o: 1, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f**2 + 15 - 2*f**3 + 3*f**5 + 0*f + 9\/4*f**4. Factor s(h).\nAnswer: 3*h**2*(h + 1)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40828.216 from -297784.3.\nAnswer: -338612.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -4897.\nAnswer: -122425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - r - 2*r + 1, -4*v - 3*r + 17 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.1495mm in micrometers?\nAnswer: 246149.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18353 divided by -2?\nAnswer: 18353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/18)\/(2\/144). Which is greater: h or 22?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1836575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 312*n**2 + 310*n.\nAnswer: 2*n*(n - 155)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 577012*b**3 + 588933.\nAnswer: 1731036*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**2 + 3*v**3 - 3\/4*v**5 + 50 + 13\/4*v**4 + 2*v. Factor u(x).\nAnswer: -3*x*(x - 3)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 50. Let g be (3\/5)\/(3\/t). Solve -4*o - 5*d - 21 = -0*d, 3*o + 15 = -g*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/4 - 16*o**2 - 51*o\/4 + 189 = 0. Calculate o.\nAnswer: -63, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1808996428 to the nearest integer?\nAnswer: 42532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 272\/3. What is t in t + 2\/3 + g*t**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 81. Let w = -72 - x. Let i = 9.4 + -9. Which is the third biggest value? (a) -4\/5 (b) i (c) -2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/11 - 2074*v**2\/11 - 753*v - 6210\/11.\nAnswer: -(v + 1)*(v + 3)*(v + 2070)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 14*q**2 - 13*q - 8. Let v be f(5). Let l(s) = s**2 - 22*s - 46. Is l(v) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1142*r - 740*r + 376*r.\nAnswer: -1506*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 9:54 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 7*p**2 - 6*p + 4. Let z be v(-6). Let r = 24 + -18. Solve -3*b = z*x - 31, -5*b + r = 4*x - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/60 - 3*q**4\/8 - 2*q**3 - q**2. Let t(o) = -o**3 + 34*o**2 - 168*o + 9. Let z be t(28). Determine n(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-36)\/21) + 1\/(-4). Let g(r) be the third derivative of 1\/10*r**5 + 0*r - 2*r**2 - 4\/3*r**3 + 0 + k*r**4. Let g(b) = 0. Calculate b.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/91)\/((-120)\/28 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - 9\/(-12)*52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:45 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b**3*j*o + 293*b**3*o + 2*b**2*j*o - b*j*o - 6*b*j + 3*b*o - 9*o - 1 wrt b.\nAnswer: -78*b*j*o + 1758*b*o + 4*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 297 - 276 - (8 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 10.7. Let v = 174 + -697\/4. What is the second smallest value in 0.2, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327664, 1310675, 2949022, 5242699, 8191700, 11796019?\nAnswer: 16055650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 758786.4 kilometers in nanometers?\nAnswer: 758786400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 470.4\nAnswer: 329.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 + 5*s**2 + 6*s**2 - 28*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z - 30. Let x(l) = l. Let y(s) = -2*s. Suppose 2*p = -7 + 15. Suppose 6 + p = -5*a. What is a*y(o) + z*x(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373958721 take away 2?\nAnswer: 2373958719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26308 - -26307.7. Which is the smallest value? (a) i (b) 8 (c) 0.05 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -594*v**2 - 1136*v**2 - 461*v**2 + 149*v**2. Let r(t) = t**2. Give r(i(n)).\nAnswer: 4169764*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose u = -r*u. Suppose u = 3*y - 5 - 1. Solve -c - 3*k = -4*c + 9, 12 = 5*c - y*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1445903*k**3*o**3 - o**3 - 16864*o**2 wrt k?\nAnswer: -4337709*k**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 divided by 4?\nAnswer: 827\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 6:14 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 7*c**2 + 2*c + 35. Determine f(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 40*d + 249. Let y be b(19). What is the highest common factor of 2756 and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810382039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-10))\/((174\/102)\/29).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/19 - -16\/57. What is the biggest value in j, 0.1, -0.2, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.24683875295.\nAnswer: -3.75316124705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxx when three letters picked without replacement from jpjfpjjpppxxdhp?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34906882 and 1666.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 18*z - 37. Calculate i(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5775 and 3325.\nAnswer: 109725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317.1 - -363. Let f = 5.9 - t. Is 2\/3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 15392?\nAnswer: 1539b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38112387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 + 21 + 19 - 2*o - 42 as f*o**3 + j*o**2 + p*o + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:36 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8738 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 - 5*v + 3. What is j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438078757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4\/5 + 28*d**3\/5 - 46*d**2\/5 - 44*d = 0.\nAnswer: -2, 0, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9eb0 (base 15) to base 11\nAnswer: -23348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iidiiiikfikiii. Give prob of picking 1 k and 1 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/3 + 14*v**2 - 1682*v\/3 - 574 = 0 for v.\nAnswer: -41, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**17\/n*n))\/n**(1\/37)*n*n**(-2\/11)\/n*n*n\/((n\/((n\/(n*n*n**(-6\/11)))\/n))\/n))**31 assuming n is positive.\nAnswer: n**(-197625\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4 - 5. Let w = r - -18. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 16. Let w = s - 17. What is the second derivative of 11*k - 24*k**w + 24*k**2 - 4*k**5 wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426 by -2.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 223384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 1. Let z = h - -5. Suppose 5*a = 4*x - 2, -3*a + 10 = 4*x - z. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 33. Suppose -3*q - 5*s + 34 = 0, -l*q + 10*s + 30 = 13*s. Let j be 6\/(-4) + 52\/q. Solve -3*y + 4*m + j = -1, -2*m = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -11 + 5 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esq when three letters picked without replacement from {s: 2, q: 4, n: 4, h: 2, e: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-48 - 3129*s - 47 + 147 - 52).\nAnswer: 9387*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p + 31. Determine d(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.032, -0.5, -91?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5977 times 168?\nAnswer: -1004136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1130, -2246, -3362?\n\"Answer: -1116*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.7 + 40.5. Let u be (801\/(-87))\/(-3) + -3. Which is the closest to 1? (a) 3 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9839291*m**2 - 6*m - 223032368 wrt m?\nAnswer: -19678582*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-35))*(-1551)\/5170*(-16)\/4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgglggghlhhghlgl. What is prob of sequence hh?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 30*f + 3. Let m be u(30). Solve -4*s + 9 = p + m, -2*s = p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/4? (a) 123 (b) -2\/133 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433 by 1.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**6\/24 + i**4\/24 + 3*i**2 + 5. Let y(b) be the second derivative of d(b). What is the second derivative of y(r) wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 5*n**2 - n + 10. Let h be l(-4). Suppose 4*x = -2*y - 6, -4*x - 6*y + 2*y - 4 = 0. Is 26 a factor of h + 2 + (-70)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(3*3*sqrt(5) + sqrt(5)).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-1 - c + 1) + 2*c - 6*c + 3*c + (0 + 3 - 2)*(3*c - 3*c - c) + 7*c + 250 - 250.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/9 + 28*r\/9 + 16\/3 = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456422146335 + -38.\nAnswer: -456422146373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109018101 rounded to five decimal places?\nAnswer: -0.10902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**4\/12 - 7*s**3\/6 - s**2\/2 - 15*s. What is f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = 14. Let m be ((-9)\/g)\/((-2)\/88). Let n(w) = 6*w - 1. Let u be n(2). Calculate the highest common divisor of m and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -95. Calculate the common denominator of -45\/22 and -1 + m + (-291)\/66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179*h - 191 wrt h.\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4108?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:43 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/42*(-11 + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuuuuururuuuuubb. Give prob of sequence bur.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-13) - 1 - 50158\/(-26). Suppose -x + 2*d - 4*d = -954, 2*x - 3*d = p. What is the highest common factor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 178292033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896836?\nAnswer: 2, 224209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286549804 to the power of 1\/3, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11 + 5*s + s + 17 + s**2 + 9*s. List the prime factors of f(-18).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3285217?\nAnswer: 13, 252709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 1\/10*x**5 - 5*x**2 - 1\/420*x**6 + 49\/3*x**3 + 0 - 7\/4*x**4 + 0*x. Find z, given that w(z) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -282.48 and 32405159.\nAnswer: 32404876.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*u + 10 + 8 = 0, -m = -5*u - 27. Suppose -m = -2*p, 18 = -2*t + 5*t + 3*p. Solve -t*n + 0*n = -20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-1*1.\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -198 and -12894431187.47.\nAnswer: -12894431385.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 72, 5\/992, -4, 4?\nAnswer: 5\/992","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -2, -2\/15, -1\/4, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a - 77 = -1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2358 - 2304 = -6*x. Let a(p) = 6*p**3 - 11*p**2 + 9*p. Let v(l) = -3*l**3 + 5*l**2 - 4*l. What is x*v(j) - 4*a(j)?\nAnswer: 3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(1\/12)*(v\/(v*v\/v**(-1\/8)))\/(v*v**(-4)\/v) assuming v is positive.\nAnswer: v**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 14 - 64. Let r(w) = -w**3 + 11*w**2 - 8*w - 13. Let n be r(x). Let d be 12\/9 + (-4)\/(-6). Solve -3*u - n = 4*g, -d*u + 1 - 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1708767, 3, -1\/3?\nAnswer: -1708767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 + i**2\/2 - i. Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-49)\/9*15\/35\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144*g - 9794 - 39779 = 19035 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 5 = 13*t. Let w(i) = -i**2 + 6*i - 2. Let v be w(t). Which is the third smallest value? (a) -1\/2 (b) 1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hknnnkrnrnchrrkccrk. What is prob of sequence hnrk?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 + 8*i**2 - 8*i + 137. What are the prime factors of s(-18)?\nAnswer: 103, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -18. What is the remainder when i is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -1000101?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-20)\/6)*-3. Calculate the remainder when 16 is divided by (27 + -39)\/(-3 - (p + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**7\/10 - z**4\/24 - 25*z**3\/3 - z**2 - 19*z. What is the second derivative of s(u) wrt u?\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000111011010 (base 2) to base 10.\nAnswer: -20954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = 4*z. Let q(c) = c + 10. Let y be q(z). Solve -2*l = -5*l + 6, -x - y*l + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4066*o**3 + 2457*o**2 - 35*o. Let c(v) = -v**2 + 7*v. Let b(z) = -5*c(z) - w(z). Find the third derivative of b(q) wrt q.\nAnswer: -24396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1860)\/2480)\/((-162)\/16))\/(44\/(8\/2)).\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1877635536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 24382.\nAnswer: 19\/12191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let v(j) = 18*j - 2. Let q(w) = -3 + 31*w + 17*w - 4*w - 8*w. Let r = -47 + 42. Let z(n) = r*v(n) + 3*q(n). What is b(z(h))?\nAnswer: -18*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.2930167 weeks?\nAnswer: 49.2268056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = b - 2, -6*u + 2*u - 6 = -3*b. Suppose -b*p + 25 = 3*p. Solve 27 = p*o + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641*z = 168 + 355 + 118. What is the nearest to 1600 in -3, z, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.9 (b) 0.1 (c) 334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28250 by -25.\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -124558138?\nAnswer: 124558137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 288 - 139. What are the prime factors of j?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/(-298) + (1458 - 1460)\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3828851 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 0, 3*u = -4*n + 14567 - 1223. Suppose -8*q = -9*q - 3*h + u, -8869 = -2*q + 3*h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) 1 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 + 8892.\nAnswer: 9033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 189*c - 190*c + 2. Suppose -c*u = -4*k - 2160, -16*u = -11*u + 3*k - 5335. List the prime factors of u.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1*sqrt(13) + -5 + sqrt(13) + sqrt(208) + -1.\nAnswer: -6 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72189, -144375, -216559, -288741, -360921?\nAnswer: -433099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 321*c + 3374. Calculate g(-10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 556*d**2 + 30*d**2 - 24*d.\nAnswer: 586*d**2 - 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 3 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 14.2. Let x = -0.2 + w. Let f = 1 - x. What is the closest to 1 in f, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544 - 544 + 3*r**2 + 2*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107.090535 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-6*y - y + 5*y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 277.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -766, -1149, -1530, -1909, -2286?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.35. Let z = 0.5 + u. What is z rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 11765.\nAnswer: -23\/11765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 42. What is the remainder when 24 is divided by n(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-77)*280\/(-3280)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680 divided by -8.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzzfyqzyvfzgy. What is prob of sequence zv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 17. Determine g(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) + (-120)\/50. Let d be (-11)\/(33\/(-150)) - (2 - s). Calculate the highest common divisor of d and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84363887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(171)*-3)\/(sqrt(5400)\/sqrt(6)).\nAnswer: -9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 10*z + 3. Let r(g) = g. Let m(i) = o(i) + 6*r(i). What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 146, 5 in decreasing order.\nAnswer: 146, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112128619, 224257239, 336385859?\nAnswer: 448514479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000210000121 - -2002001?\nAnswer: 1000212002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2))**2*1 + (sqrt(26)\/sqrt(2)*-2 - sqrt(13))**2 + sqrt(13) - (-1 + 4*sqrt(52)\/sqrt(4)).\nAnswer: -3*sqrt(13) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3615 = 209*m - 125*m + 157*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 1\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 1, s: 1}. Give prob of picking 2 t and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -307*w**4 - 2*w**2 + 1952?\nAnswer: -1228*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 58037, 504?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18*k - 27. Let g be (-4)\/(-24)*20 + 2\/(-6). Suppose -g*v - 12 = 9. What are the prime factors of p(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*g = -7, -g - 9 = -7*s + 4*s. Let l be 0\/(-15) - s\/(-1). Let p(n) = 21 - n**3 - 3*n**2 - 20 - 2*n + l*n. Calculate p(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (-5 + sqrt(468) - (-3*sqrt(26))\/sqrt(2)).\nAnswer: -9 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -239, 3.\nAnswer: -239, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/((-235)\/(-10))*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4362*j**5*x - j**3*x**2 + 83*j**3 + 6*j**2*x**2 + 58*j*x**2 + 437*x**2 wrt j.\nAnswer: -261720*j**2*x - 6*x**2 + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2 - (155 + -148)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9740002 plus -13?\nAnswer: 9739989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23*m + 4. Suppose 63 = 6*g + 27. List the prime factors of j(g).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 4499, 4*p + 1741 = 4*d - 1855. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -69*a - 1. What are the prime factors of m(-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*f - 259 + 259)*(4 + 11 + 3)*(0 + 0 - 5*f).\nAnswer: 2250*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v. Let b be 10\/3*168\/20. Suppose b = -4*c + 8. Let k(u) = -u**2 - u + 1. Let d(t) = -4*t**2 - 5*t + 5. Let w(f) = c*k(f) + d(f). What is z(w(l))?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/5, 30, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + 3*x**3 + 6 + 2*x - 3*x - 5*x**4 + 10*x**2 + 3*x**4 to the form v*x**4 + y*x**2 + g*x + b + n*x**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t - 304. Calculate a(-13).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -903 = -168*o + 125*o. Solve -19 = 5*w - 4*l, 4*l - o - 4 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -62\/5 (b) 0.03 (c) -2\/237 (d) -0.8 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(180) + -2)*5 + sqrt(180))*-5.\nAnswer: -180*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*o - 3804, -958 = 12*o - 13*o - 2*a. What is the greatest common factor of o and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**3 + 18\/5*p + 21\/5*p**2 - 8.\nAnswer: (p - 1)*(p + 2)*(p + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/12)\/((-4)\/6) - -119 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/4 + 65*v**4\/12 + 85*v**3\/2 + 315*v**2\/2 + 9*v - 1. Solve o(m) = 0 for m.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130203011 (base 4) to base 14.\nAnswer: 30885","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*n + 4*n**2 - 449*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38629 - 22.\nAnswer: 38607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.027, 0.8, -1, -0.3.\nAnswer: -2.027, -1, -0.3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689.6284ms to seconds.\nAnswer: 0.6896284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*s = 15 + 2, 4 = -s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1018*l - 1011*l + 504. Let n be 4\/(-20) + (l\/(-190))\/4. Put -3, n, 2, -22 in descending order.\nAnswer: 2, n, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 63*p - 336. Let f be a(68). Solve -5*y = 30, 30 + 14 = f*j - 4*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 30400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*z + 10220 = 0, 11*z - 4097 = -2*w + 10*z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384254 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27697252 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 51*m. Let j(a) = 4*a**2 + 46*a - 36. Let z(s) = -21*s**2 - 231*s + 198. Let g(k) = 11*j(k) + 2*z(k). Give g(o(x)).\nAnswer: 5202*x**2 + 2244*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r**(-2\/7)\/r))**15 assuming r is positive.\nAnswer: r**(975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 10*x**7\/21 - 3*x**5\/10 - x**4\/6 + 11*x**2\/2 + 12*x - 3. Find the third derivative of m(t) wrt t.\nAnswer: 1200*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-231))\/((-1)\/3). What is the closest to n in -4, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*-0.5.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 = 2*w, 5*w + 10*m - 7*m = -17. Let p = 9\/17 - 114\/119. Let n = 28 + -83\/3. Which is the fourth smallest value? (a) p (b) w (c) 1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 1800.8.\nAnswer: 1803.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40800 and 1320.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18870300 and 17\/61328475.\nAnswer: 245313900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 65 = f. Let y = f + 70. Suppose -389 + 104 = -y*b. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/57 - -6082\/14649. Is y at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 11:52 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6*g + (-g + 3*g + 0*g)*(0 + 3 - 1))*(84*g**2 - 27*g**3 + 72*g**3 - 83*g**2).\nAnswer: 450*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 1) + -20 - (-16)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/67? (a) 0.06 (b) 6 (c) 0.3 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - t = -2*p + 1997, 2994 = 3*p - 3*t. What is the highest common divisor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 14*v**2 - 285. Let d be h(0). Let l(n) = -70*n. Let u be l(-5). Let t = u - d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 98889720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38534, 77134, 115734, 154334, 192934, 231534?\n\"Answer: 38600*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert 19b7 (base 12) to base 13.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 123921*r**2 + 1279763145*r + 1279639227.\nAnswer: 3*(r + 1)*(r + 20653)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/56 and -89\/910.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 901 + -2a8?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -1\/3 (c) 14\/5 (d) -4\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41aa - -3?\nAnswer: 41b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/8 and (-4)\/(-28) + ((-555)\/70 - -4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3831, -3600, -3309, -2952, -2523, -2016?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*c + 286*c + 287*c + 2 + 13.\nAnswer: -3*c + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 261 = -b. Let l = b - 34. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 3588\/(-84) + 31\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + 4*f + 13. Let l(v) be the first derivative of 11*v**3\/3 + 9*v**2\/2 + 27*v - 3988. Let h = -29 - -25. Calculate h*l(q) + 9*y(q).\nAnswer: q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436 is divided by 452?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(20)\/sqrt(90) - (sqrt(2) + 1 + -4)**2) + 2 - 3*((0 + sqrt(128))*-2)**2.\nAnswer: -1545 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 + -2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 2\/(-4)*6. Let c be (i\/6)\/(123\/(-12)). Suppose -10*o = -18*o. Is c greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13635 by 1497.\nAnswer: 4545\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (102 + -95 - (8 + 2)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 8 - 5 - 4 + (2*v - 9*v - v)*(0 + 4 - 1))*(0 + 0 - 2*v**3).\nAnswer: 38*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -2*z**7\/21 - z**5\/2 + 14*z**4\/3 - 9*z. What is the third derivative of y(j) wrt j?\nAnswer: -240*j**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -706 or 5921.1?\nAnswer: 5921.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, b: 1}. Give prob of picking 1 b and 3 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-33)\/9 + 4). Let c(q) be the first derivative of -3 + q + 18*q**2 - 40*q**2 + 21 + f*q**2. Determine c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 218*i*j + 155*i*w - 9*i - 7286*j**2*w + 7*w + 9 wrt j?\nAnswer: 218*i - 14572*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6077029 centuries?\nAnswer: 60.77029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 10. Let w be 2175\/i*(-2)\/3. Let y = 511 - w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004914918 to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1210140 and 10.\nAnswer: 1210140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6599 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120*s + 33?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -492 - -439. Are -62 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 62*x**2 + 130. Let h(d) = -30*d**2 - 64. Determine -13*h(t) - 6*v(t).\nAnswer: 18*t**2 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -121954374 divided by 1\nAnswer: -121954374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26*h**2 - 3*h - 3. Let u(y) = -25*y**2 - 4*y - 4. Give -4*n(g) + 3*u(g).\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*m*o*z - 7*h*m*z - h*m + h*o + 4*h*z + 9*h - 24*m*o + 2*m*z - 3*z with respect to m.\nAnswer: h*o*z - 7*h*z - h - 24*o + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(17)*-5 + sqrt(17))**2 - sqrt(17))*-4.\nAnswer: -5508 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6000 - 4*u + 1204 + 1247 + 1199 + 1195 + 1155.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 200355.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4700 + 5475 = -2148*i - 7817 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*w**2 + 678*w - 49*w**2 + 341*w to p*w + r + s*w**2 and give p.\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*p - 5455, -4*p - 2764 = -4*l + 8160. What is the highest common factor of l and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/2 of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let m = -28847\/15 + 1923. Which is the nearest to -1? (a) m (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222543039 and 184377?\nAnswer: 222543039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3, -3\/8, -77, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 327*r + 2627 + 679*r - 2629 to d*r + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 4*g + 13. Let y be v(-6). Solve -2*d - 4*z = -7 + y, 7 = 3*d + 4*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -12*i + 42 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6806*z**2 - 19*z - 2366*z**2 - 14*z - 1.\nAnswer: 4440*z**2 - 33*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2.7 (b) -121 (c) 4 (d) -0.4 (e) 0 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 12. Let n be l(-3). Suppose n*k - 1 = 5*s + 3*k, -4*s + 3*k - 2 = 0. Let u(f) = -2*f. Let z(i) = i. What is s*u(x) + z(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*b**2 - 3 - 9*b**4 - 21*b**2 + 25*b**4 to the form l*b**3 + t*b**4 + z*b + n + p*b**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 105*g**2 - 2942*g + 248. Give w(-128).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638483.\nAnswer: 137, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o + 25. Let a be n(6). Let v = 399 + a. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197932 divided by 42\nAnswer: 14138\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = 5*z - 110. Let y = 5 + -2. What is the third derivative of z*t**2 + 3*t**3 + y + 2*t**2 - 3 wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*h + h - 4250, -3*x + 6373 = -4*h. Calculate the remainder when x is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3 = -22. Let l be (-3)\/z + (-44)\/140. Put -0.4, l, -1 in ascending order.\nAnswer: -1, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-1)*u)**(3\/28)\/(u*u**5*u**5*u))**5)**14 assuming u is positive.\nAnswer: u**(-1635\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334495 + 71693852.\nAnswer: 72028347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2246, 2238, 2220, 2186, 2130?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115*f*r**3*v**2 - 175*f*v + 2*f - 4*v**2 with respect to r.\nAnswer: 345*f*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*c - 35*c - 26*c - 2*c**3 + 83*c**2 in the form n*c + m + h*c**3 + d*c**2 and give d.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5125, 36021, 119897, 283249, 552573, 954365, 1515121, 2261337?\nAnswer: 3219509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3)*7*-2. Suppose -s = 4*h - 4*s - l, 4*h - 22 = -s. Suppose 0 = h*y - 57 - 73. Calculate the highest common factor of 234 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2\/153, 2\/3, -3\/5 in increasing order.\nAnswer: -3\/5, 0, 2\/153, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(96))\/sqrt(4))\/(sqrt(72)\/sqrt(6)*2).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 25*u = 23*u + 11400, 2*u - 9501 = -5*h. List the prime factors of h.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/420630720 and 149\/498.\nAnswer: 420630720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + u**2 + (9 - 9 - 4*u)*(-4*u + 2*u - 3*u) in the form k*u + v + d*u**2 and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98444 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y**2 + 18*y**2 + y**2)*(3*y + y - 2*y)*(-21 + 7 - 13).\nAnswer: -594*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27012*o - 1473 = 26920*o + 2294 + 5 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20454 = -66165*v + 66652*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6780551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*51.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 25 - 62 - 23*s + 30.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -657, -1299, -1941, -2583, -3225, -3867?\n\"Answer: -642*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-42)\/(-12)) - -6. Suppose -c*f - 51 + 307 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esb when three letters picked without replacement from {m: 5, v: 1, e: 1, b: 1, s: 3, d: 2}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 8*m**2 - 9*m - 4. Give x(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (5\/20)\/1 + 39\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72323917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 465070\/53 or 8774?\nAnswer: 8774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7*h - 3*h**3 - 5*h**2 + 4*h**3 + 10*h**2 = 0. Calculate h.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**2 + 11. Let u(k) = -7*k**2 + 6. Let h(o) = -2*i(o) + 3*u(o). Let x(l) = l**2 - l + 1. Determine -h(g) - 4*x(g).\nAnswer: g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30*84\/9800 + (-75)\/(-35). Let -2\/5*h**4 + 24\/5*h + y*h**3 - 8\/5 - 26\/5*h**2 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 18*x**2 - 20*x + 25. Let z be t(19). Let j = 62 - z. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-3\/5)\/m))\/m)\/(m\/(m*m**(-1\/7))*m))\/(m**(-1\/3)\/m**(1\/2)) assuming m is positive.\nAnswer: m**(271\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s + 714*s - 2*s**3 - 3*s**2 + 2*s**3 + 396*s - 2*s**3 to the form f + o*s + k*s**2 + y*s**3 and give o.\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Suppose -a = -t - 95, -2*a + 355 = y*a + t. Calculate the remainder when a is divided by (46\/6 - 1)*(-30 - (-6996)\/220).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*i + 8*i. Calculate the remainder when 11 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**9\/15120 - z**7\/840 - z**6\/360 + z**4\/6 + 4*z**2. Let c(w) be the second derivative of b(w). Suppose c(h) = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p + p)*(-33*p + 51 + 23*p - 39) as q*p + w*p**2 + t and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u + 2 = 0. Let i(x) = -1. Let q(s) = 17*s + 7. Let d(o) = 4*i(o) + q(o). Is d(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -708, -913, -1314, -1977, -2968, -4353, -6198?\nAnswer: -8569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**6*n - 4562*k**6 - 2*k**2*n + 2*k*n - 19*k + 92*n wrt k?\nAnswer: -720*k**3*n - 547440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five halves of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiigiigwgigigig. Give prob of sequence iii.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*m - 22*m - 31*m**2)*(-m - 2 + 2)*(-2*m + m + 2*m).\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a = -48*a + 95*a - g - 12, -3*a + 37*g = 204 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/42 - z**6\/15 + z**4\/6 + z**3\/6 - 8*z. Factor s(c).\nAnswer: -c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v**2 + v - 3. Let n = 11 + 8. Suppose 0 = -2*i - 0*m - 3*m - 11, -3*i = 5*m + n. Calculate the remainder when l(6) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 990 = -38*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 127.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.075591 and -5?\nAnswer: 4.924409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, -51, 1\/7, 0.2 in ascending order.\nAnswer: -51, 1\/7, 0.2, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99480 and 960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -17. Let i = -4 - n. What is the third smallest value in -2, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1442.\nAnswer: -1442, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*r - 578 = -17*r - 81*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*i = 5, -2*f = -2*i + 7*i + 5. Suppose f = -5*q - k + 7, 2*k + 12 = -q + 4*q. Solve -2*n = q*m, 4*n - 4 = -0*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0 - 1\/2*n**3 - 45*n**2 - 1\/8*n**4 + 0*n. Determine l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)\/b*b*(b\/(b\/(b\/b**6))*b)\/b*b**(-4)*b**3 assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5450 * 0.04\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1750 = -h, 2*p = 2*h - 2*p + 3440. Is -14 + 12 + h\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-10)*v*v*v\/(v**(-8\/3)\/v*v)*(v\/v**(-1\/7))\/v*(v*v**(-1\/3))\/v*v*v assuming v is positive.\nAnswer: v**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from -787769990.\nAnswer: -787770007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/11 - 1462*d**2\/11 + 213508*d\/11 - 421152\/11 = 0. What is d?\nAnswer: -856, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h - 7. Give n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1424 or 1423?\nAnswer: 1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*q**2 - 7*q - 35 + 18*q**2 + 1 + 7*q.\nAnswer: -149*q**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29103 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29605 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/45815 and 95\/14553.\nAnswer: 1237005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - u + 2*u + 350, 2*u + 355 = 5*m. Suppose -8*l - m = -11*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:33 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 4. Let n(d) = 4*d**2 + 59*d + 131. Let s be n(-12). Let w(r) be the first derivative of r**3\/3 - r**2\/2 - r - 2. What is s*q(x) - 4*w(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -26, -3, 54, 157, 318, 549, 862?\n\"Answer: 2*v**3 - v**2 - 10*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 - 8*p**3\/3 + 9*p**2\/2 - 10*p + 2. Let h be v(7). Find s, given that -2*s**2 - 3*s + 7*s + 4 + h - s**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2. Let u(m) = m**3 + 6*m**2 + 8*m + 7. Let z be u(-2). Let y(c) = -6*c + 13*c - c**3 - z*c - 2. Give -4*r(d) + 5*y(d).\nAnswer: -5*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -5*l - 27*i + 4012873, -5*l + 4*i + 4012881 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/5 - 184*i**2\/5 + 62746*i\/5 = 0. Calculate i.\nAnswer: -229, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3. Let k = 130097 + -130098. Sort 0.07, a, k in decreasing order.\nAnswer: a, 0.07, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 4017886?\nAnswer: 32143088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-266)\/(-10) - 2 - (-12)\/(-20). Let p = q - -4. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 23*w. Let c(x) be the third derivative of 0*x + 17*x**2 + 0 + 0*x**3 - 11\/60*x**5 + 0*x**4. Determine i(c(t)).\nAnswer: -253*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116491038 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/5)\/(-2) - 164855\/(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 4*z**2 - 5*z - 3. Let u(k) = k**2 + 3*k + 14. Suppose -4*h = -w + 16, h + 0*h - 5 = -2*w. What is the remainder when g(6) is divided by u(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.1 and 20003661.7.\nAnswer: 20003654.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 at most as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*t + 24*t - 25*t - 56*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) + 376\/360*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/8, 0, -5\/8, -249\/4 in decreasing order.\nAnswer: 9\/8, 0, -5\/8, -249\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21008484 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 877057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.31 + 9.69. Is b smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 11*o - 76 - 248 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, g: 6, j: 1, p: 4, e: 2, n: 1}. Give prob of sequence bj.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {q: 5, o: 9, f: 2, u: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (5 - (-2 + 18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -7*a**4\/12 - a**3\/6 - 19*a**2. What is the tens digit of c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*o*t**2 - 3*o*t + 18*t wrt t?\nAnswer: -428*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3301 - -3301. Let c = -4\/21 + -44\/63. Is z less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*w = 2*w - 856, -1757 = 4*o + 5*w. Let j = 2892 + o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(0 - (-7)\/(-2)). Let a be (-2514)\/(-21) + 6\/21. Suppose -6*y + y + a = 5*n, -5*n + 15 = 0. Solve -14 = -5*k - 3*p + t, 4*k + p = y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01862441*-0.4.\nAnswer: 0.007449764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uututhttutuhtugugu. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (16 - (-3 - (1 - 6)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31 + 54*m - 31 + 1 - 1 + 5*m + (-5 + 2 + 1)*(-2*m + 1 - 1) + 2*m + 3*m - 6*m.\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22816 - -36916. Round l to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127781*o**6 + o**4 + 219*o**3 + 69389744*o**2 wrt o.\nAnswer: -15333720*o**3 + 24*o + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (-1)\/((-21)\/(-18)) - (-4752)\/154.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60.77 from -0.07712.\nAnswer: -60.84712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 9. Suppose 0 = -n + 4. Let x be z(n). Sort -2, 5, x in ascending order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -0.012?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -803804?\nAnswer: 803787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 10*a**3 + 10*a**3 + a**5 + (a**2 + 0*a**2 + a**2)*(0*a**3 - 4*a**3 + 2*a**3) - 5*a**5 - 2*a**5 + 5*a**5 + (1 + a - 1)*(9 - 9 - 7*a**4).\nAnswer: -12*a**5 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*5 - (2093\/(-13) - 7) is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1864*o**5 + 47*o + 14.\nAnswer: 37280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -24. Suppose -j*y = 4*g - 4, -7 = -y - 4*y - 3*g. Factor -2\/5*o**y - 1\/5*o + 1\/5.\nAnswer: -(o + 1)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:52 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2659, -23995, -81883, -194599, -380419?\n\"Answer: -3046*w**3 - 14*w + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-l + l - 2*l)*(2*l - 2*l - 9*l**2)*(-3 + 5 - 3)*(2*l - 6*l + 0*l) in the form u*l + g + c*l**4 + m*l**3 + s*l**2 and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -13)*3\/(-6)*1. Is 14 a factor of (i + 1532\/(-16))*(-24)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 1 - 15*q**2 - 2*q - 3*q**3 - 15*q**2 + q**2 to j + u*q**2 + i*q + v*q**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1794305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 2*j - 4*j - 2*j**2.\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 + 54316*z - 54320 = 0. Calculate z.\nAnswer: -13580, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53797 - 376577\/7. Factor k*m**3 + 10\/7*m**2 + 0*m + 0.\nAnswer: 2*m**2*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 11*p - 97. Let u be y(6). Put -11, -4, 0, u in decreasing order.\nAnswer: u, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)\/t**(3\/7))\/(t**(1\/3))**26*(t**(6\/7)\/(t**(3\/4)\/t))\/(t\/(t*t\/t**(2\/7)*t))**(3\/7) assuming t is positive.\nAnswer: t**(-56621\/7644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478785166 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.9, 2\/5, 4 in ascending order.\nAnswer: 2\/5, 4, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -25*u - 147. Let z be m(-6). Solve -2 = -5*p - 22, 0 = -2*j - z*p - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Find the second derivative of -2*d**3 + g*d**3 - 6*d**3 - 8*d - 5*d**3 wrt d.\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*q**4 + 5 + 4 - 6 wrt q?\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55727*g**3 + 55719*g**3 - 111454*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -1 + -4 - (-38 + 27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37341 - 37327. Calculate the least common multiple of 1192 and z.\nAnswer: 8344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 6*x - 6. Let g be z(6). Let u = 3 - g. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*l + 26*l + 4 + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 895705691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22454 - -110?\nAnswer: -22344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 33*q**2 + 11*q**2 + 19*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**4 - 5036*g**3 - 10060*g**2 - 5028*g = 0.\nAnswer: -1257, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**6\/35 + d**5\/7 + 2*d**4\/21 - 8*d**3\/21 + 7*d. Determine j, given that k(j) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 350*z**2 + 70*z + 1. Let d(o) = -351*o**2 - 68*o - 1. Let k(x) = 5*d(x) + 4*y(x). Find the second derivative of k(q) wrt q.\nAnswer: -710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 31*w**2 + 22*w + 232. What is z(32)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 10. Let k be x\/(-3) - 55\/(-15). Suppose n + 18 = k*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14910 divided by -2982?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22153 + 22153 - 3*t - 44312.\nAnswer: -3*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 77.6 times 914.3\nAnswer: 70949.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3061067 by -8.\nAnswer: -3061067\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)\/m*(m*m**(-7\/2))\/m*(m\/(m**(1\/2)*m*m))**15)\/(m\/m**(-5)*m*m**(-5)\/m*m**(1\/7)\/m**(4\/5)) assuming m is positive.\nAnswer: m**(-7621\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 61 + (0 - -2) - (-44 + 47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 2325?\nAnswer: 2325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/45)\/(5\/((-750)\/(-30))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitiiiiiaaaitpaiiapi. Give prob of sequence pitp.\nAnswer: 11\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 17*l - 20*l - 3, -2*i = 5*l + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47644, 95292, 142940?\n\"Answer: 47648*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4308 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 3. Let o be -2 + 2 + (3 - 1). Suppose -3*y + 19 = -o*l - 4, -5*y + 25 = 0. Let s(n) = -4*n - 5. Calculate l*s(a) - 7*w(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173491825 is divided by 1652303.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.3 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484518 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, 1 d, and 1 m when four letters picked without replacement from {d: 1, m: 4, q: 2, p: 3, z: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6428438 is divided by 2864?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o = -392. Suppose 2 - 4 = -2*a. Find the common denominator of 65\/16 and (-406)\/o - (-1 - a).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60125*c + 60521*c = 3960 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432017 and 514?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1791*d + 2 - 1185*d - 105*d as g + j*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16206420 rounded to the nearest 100000?\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202013 - 23032?\nAnswer: 112321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41153 + -1206. Let b = -18328 + z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let s(z) = -z**2 + z + 9. Let c be s(0). Let i be (c\/(-6))\/((-2)\/4). Solve -4*a + 0 = r - f, 0 = -2*a - i*r - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361\/5 - -727\/10. Let w(u) be the second derivative of -f*u**3 - 3\/2*u**2 + 0 + 4*u. What is the derivative of w(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -12 - 8) + (-18 - (2 + -25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-341 - 352 - 258)*(25 - 25 + 4*g).\nAnswer: -3804*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1120695, 2241387, 3362077, 4482765, 5603451, 6724135?\nAnswer: 7844817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 97536, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -34, -132, -322, -634, -1098?\n\"Answer: -5*i**3 - i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/3)\/((-72)\/45*67\/(-804))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 30 = -7*m + 5*t, -m = -2*t - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 - 1\/2*x**3 - 6*x**2 + 1\/12*x**4 + 4*x. Calculate the least common multiple of d(6) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -153027, -154955, -158169, -162669, -168455, -175527, -183885?\n\"Answer: -643*q**2 + q - 152385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba (base 14) in base 6?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -36*k - 214. Let z be j(-6). Solve 5*c = -5, z*c = 5*f - 3*c + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:35 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + u + 26 = 5, 0 = 4*w + u - 11. Which is bigger: 9\/2 or w?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 540 - 18*l**3 - 540 + l**3 + 4*l**3 - 4*l**3 - 4*l - 2*l**3 + 4*l + (-2 + 5 - 1)*(l**3 + l**3 - 4*l**3) + 1 - 1 - l**3 - 5*l**3 + 2*l**3 + l**3.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5415.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40022, -40035, -40058, -40091, -40134, -40187?\nAnswer: -40250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 2732926*o + 92921796.\nAnswer: -2*(o - 1366497)*(o + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 + 1)*(0*y + 2*y - y) as o*y + s and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001479 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7134 - -10033. Is a >= 2899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 56, 2\/3, 0.4, -1\/272 in descending order.\nAnswer: 56, 4, 2\/3, 0.4, -1\/272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**3 - v**2 - v. Let j be i(-1). What is x in 3*x**4 + j*x**3 + 10*x - 5*x - 5*x = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:06 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115122773 to the power of 1\/2, to the nearest integer?\nAnswer: 10730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**2\/2 + 6*a + 89. Determine y(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 20*s**3 - 531*s**3.\nAnswer: -511*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -591217*t. Let c(u) = -9*u**2. Determine c(z(h)).\nAnswer: -3145837869801*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25*p**3 + 22*p - 20. Let g(f) = -25*f**3 - 23*f + 25. Determine -4*g(v) - 5*n(v).\nAnswer: -25*v**3 - 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253990 or -253993?\nAnswer: -253993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 16. Suppose -37 - x = -z. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129093832 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from albahmabhalaallbl. Give prob of sequence hall.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 238?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -394, -1652, -3734, -6628, -10322, -14804?\n\"Answer: 2*x**3 - 424*x**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3714*v - 3737*v + 14912*v - 3736*v - 3733*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 38 = -3*p. Let b be ((-4)\/(-15))\/((-2)\/p). Suppose -5 - 5 = 5*s. Is s not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 27*z - 85. Determine y(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -159*c**2 + 2*c + 2. Let p(n) = 799*n**2 - 11*n - 11. Let g(w) = -2*p(w) - 11*t(w). Let q(s) = 5*s. Determine q(g(u)).\nAnswer: 755*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -18. Suppose 2*d + 3 = j. Suppose 6*i - d*i - 12 = 0. Solve -u = i*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1436?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666*l**3 + 20047*l**2 - 18735*l - 5146 = 0. Calculate l.\nAnswer: -31, -2\/9, 83\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 15*m**2 + 9*m - 30. Let f be u(-14). What are the prime factors of (3\/12*-73)\/((-2)\/f)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740664 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 836183611 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: Let d(o) = 1. Let h(l) = -l - 8. Let x(v) = 4*d(v) - h(v). Let y be x(-6). What is the units digit of -1 + 194 + (y - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - 16) + 19 - (-587 - 0) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:36 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-85)\/(-10) - 6) + -2. Let y = 1 + -0.7. Sort y, -1\/3, m in ascending order.\nAnswer: -1\/3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -10 (c) -2\/13 (d) 3\/7 (e) -19.9 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 - 744*a**4 - 34592*a**3 + 744*a**2 + 34596*a = 0.\nAnswer: -93, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*h = 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*f + 10 + 28 = 0, -5*z + 41 = 4*f. Suppose 2*n - 21 = -3*p, 0 = -4*p + p + 2*n + z. Suppose 363 = p*a - 2*a + 3*m, -5*m = a - 113. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 522*a**7\/7 + a**4\/6 + 8*a**3 - 33*a**2 - 5416*a. What is the second derivative of k(b) wrt b?\nAnswer: 62640*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11728.\nAnswer: -1\/2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 7 + 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -14)\/(2\/(-78)*15)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 730*j**2 + 26645*j = 0. Calculate j.\nAnswer: -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -62*((-2)\/(-4) + -2). Suppose -3*y - 810 = -6*y. Suppose 0 = -3*a + z + y. What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (1 - -3))\/(2 - 3). Suppose 3*z + 2*r - 4*r + 375 = 0, s = 3*z + 2*r + 363. Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1442 + 2421 + f + 2576 + 610 to c*f + t and give t.\nAnswer: 4165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 114*b + q, b - 14 + 53 - 10 = -2*b + 2*q + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1274\/5 + 615337\/2415. Is 0 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + 2. What is the remainder when 1 + (-10)\/(-15) + 489\/9 is divided by u(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110.3 + 110.6. Put 5, d, 0, -1 in ascending order.\nAnswer: -1, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 325 - 159 - 22*a**2.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 29*h - 6*h**3 + 0*h**3 - 30*h)*(-3 + 3 + h) in the form x*h + d + g*h**4 + u*h**3 + i*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 - ((63 - 131) + 93).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*o - 321 + 95, 5*c - 3*o - 384 = 0. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 67329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1276616\/7*y - 1\/7*y**5 + 1279225\/7*y**2 - 429019\/7*y**3 + 425104\/7 + 1307\/7*y**4.\nAnswer: -(y - 652)**2*(y - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-15) - (5 + -6 + 5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 17*z + 12*z - 22*z - 61, -14 = -7*x + 2*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 182356 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2392*j + 2434*j = -966 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/15 - 31\/60. What is the closest to 2\/7 in m, 62, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 8398 = 33*r - 270*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k - 1. Suppose -3*c + 37 = 2*t, 5*c + 7 + 18 = t. What is the remainder when t is divided by f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1189 or -78?\nAnswer: 1\/1189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 23 - 6*x**2 + 11 - x - 2*x**2 + 7 to the form k + y*x + i*x**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-3\/4)*(q**0\/q)**(-4\/9) assuming q is positive.\nAnswer: q**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046.3256ms to minutes.\nAnswer: 0.01743876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1952 and -49.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -801 - -813. Solve -12 = 12*q + j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*v - 16, -5*v - 5*q + 2*q + 23 = 0. Suppose 0*h - v = -h. Solve k + h*k = -25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4420353, 8840696, 13261027, 17681340, 22101629?\n\"Answer: -y**3 + 4420350*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((5*3*sqrt(242) - sqrt(242)) + sqrt(242))*6 - (2*sqrt(242)*-2 - (-3 + (sqrt(242) - (0 + sqrt(242)))))) + 4)**2.\nAnswer: 2068*sqrt(2) + 2138313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bballaaglaba. What is prob of sequence gbb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p**3 + 5*p**2 + 5*p + 5. Let a(o) = o**3 + o**2 + o + 1. Let t be ((-3)\/4)\/3 + (-4883)\/1028. Determine t*a(u) + j(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742*c - 5135 = 44221 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 17 = 5*d - 11 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -0.26, -550?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*t**2 + 272981*t + 14809853 wrt t?\nAnswer: 52*t + 272981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13311 + 1149.86689. What is the third smallest value in 0.4, 3\/8, x, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 26. Suppose -3*n - 5 = 1. Let d = n + 13. Calculate the lowest common multiple of d and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 4*(3 + (sqrt(891) - (sqrt(891)*1 - sqrt(891))) + sqrt(891) + sqrt(891) - (-5 + sqrt(891)*2 - sqrt(891))))*1)**2*-6.\nAnswer: -349494 - 30240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 41 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -132140 (base 5) in base 6?\nAnswer: -40303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12100 (base 6) to base 5\nAnswer: -24024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23244 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -2.087?\nAnswer: 0.06261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28.706105806 - 0.01\nAnswer: 28.696105806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.048951 - -1025.688951. Round y to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 8*m**2 + 7. Let n be d(-8). Let y(u) = 6*u - 2. Let a(k) = 5*k - 3. Let g(l) = n*a(l) - 6*y(l). Let v be g(-9). Solve v = -4*s - s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(192) - sqrt(192))**2 - sqrt(6)\/(sqrt(6)\/sqrt(3)*-2) - (2*sqrt(1452) - (sqrt(588) + -2 - sqrt(588))**2).\nAnswer: -87*sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 5, 28, -785.\nAnswer: -785, -10, -3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*y + 9. Let f be 48\/(-21) - y\/14. Let o(m) = -31*m + 2. Let d be o(f). Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Suppose 4*w - 25 - 9 = 5*q, -2 = -w - 2*q. Let a(x) = 3*x**2 - w*x + 6*x. Determine a(o(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or -426\/53?\nAnswer: -426\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -12*p - 4, 3*p = 4*w - 122. Let v = 34 - w. Solve v*n + 3 = 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 4 - 21\/(-4 + -3). Calculate the smallest common multiple of 36\/(i + -9) - -58 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30018.89 millilitres to litres.\nAnswer: 30.01889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 2)\/((-1)\/(-4)). Let r be 15\/(-2)*n\/(-15). Suppose -5*s = 5*m - r*m - 10, 5*s = 4*m + 10. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4282 - -6856. Does 117 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16426 = 16423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**5 + 2658*i**4 + 2637*i**3 - 15942*i**2 - 10596*i + 21240 = 0.\nAnswer: -885, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 18*c + 44.\nAnswer: -2*(c - 11)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 23*x**6\/40 - x**5\/60 - x**4\/24 - 13*x**2. Let l be y(-1). Let w = l + 75. Solve -d = w - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000604 to 7 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose -2*c = -3*a + 5*a + 14, 0 = a - c + 11. Suppose 0 = 5*t - 88 - 12. Calculate the remainder when t is divided by (-12)\/(-6) - (a - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325421270 to the power of 1\/2, to the nearest integer?\nAnswer: 18039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 509000 and 50500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2277*g**4*w**2 + 7*w**2 + 236 wrt g.\nAnswer: 9108*g**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 59*y + 2226. Is 23 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + (-4 - -63) + 5 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125 - -104153?\nAnswer: 104025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497715 divided by 5?\nAnswer: -299543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - a + 4*a - 51, -3*j - a - 35 = 0. Let d be (4012\/j)\/(1\/(-57)). Let g = -342929\/18 + d. What is the common denominator of g and 41\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j + 0*j)*(41 - 41 - 6*j + (2 - 1 - 3)*(-2*j + j - j)) - 18*j**2 + 11*j**2 - 16*j**2.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 + 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Suppose 2*a = 2*l - 34, l + 4*a = 9*a + 13. Suppose 0 = -l*p + 13 - 103. Sort -4, k, p in ascending order.\nAnswer: p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 10*y + 13. Let b be l(-9). Suppose -h + 5*d = -2 - 3, -h + 32 = b*d. Is h + 1 + 0 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 253*b - 124864. What is c(493)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39216841 divided by -17\nAnswer: 2306873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 - ((6 - (2 + -3)) + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1325.6 + -1326. Sort 0, b, 6\/29 in increasing order.\nAnswer: b, 0, 6\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 6*r**2 + 5*r**2 + 86*r - 7 + 117*r.\nAnswer: 2*r**2 + 203*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = 7*f. Let l = 19 - 8. What is the second derivative of -15*w + l*w - 4*w - 8*w - 13*w**f wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*l - 1078 = -51*l - 99*l for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/5 + 2\/5. Let h(t) = 4*t - 2. Let g(a) = 5*a - 3. Let y(q) = n*g(q) + 3*h(q). Let z(o) = 2*o**2. Give y(z(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t**2 + 5*t - 9*t**2 + 0*t**2 + 3. What is the remainder when 8 is divided by j(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -147, -510, -1123, -1986, -3099?\n\"Answer: -125*a**2 + 12*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 908, 919, 930, 941, 952, 963?\n\"Answer: 11*v + 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + -3186861?\nAnswer: -3187015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 733203397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.002, 2\/7, -2\/9, -65.\nAnswer: -65, -2\/9, -0.002, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (0 - 0) + -2 + (40 - -1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 52\/(-20). Let z = i - -25. What is the smallest common multiple of z and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 0*k**2 - 2*k - 2 + 0*k**2)*(959 - 565 + 797).\nAnswer: 2382*k**3 - 2382*k - 2382","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30*13\/325)\/((-4)\/10). Let n(d) = 3*d**2 - 2. Let i(c) = -3*c**2 + 2. What is l*n(h) - 4*i(h)?\nAnswer: 3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1778 (base 10) to base 14.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 5*y + 2. Suppose y*s = 6*s. What is h in 4328 + s*h + 0*h - 4331 + 3*h**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-5)\/4))\/(8\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17131 is divided by 1629?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 598062? (a) 0.1 (b) -1 (c) 1\/4 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u - 5*u)*((-u + 7 - 7)*(-25 - 74*u + 25) + 2*u**2 + 2*u**2 - 6*u**2).\nAnswer: -216*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*i - 4*s = 485*i - 2368, -11924 = -5*i + s. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/h*h**(-2\/21)*h*h*h\/(h**6*h)*h**(2\/9) assuming h is positive.\nAnswer: h**(-685\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - r**2 - 4*r**2 + (2 + 14 + 2)*(-2 - 2 + 6)*(2*r**2 - 5*r**2 + 2*r**2).\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*t - 602, 3*t - 2*o - 329 = 263. Let d(b) = -5*b - 2. Let a be d(-6). Calculate the greatest common factor of a and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1074591.\nAnswer: 1\/1074591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/20 and -13\/172?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.7 + 5.3\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3)\/(-30)*(26 + -24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -56975763 - 1161532\nAnswer: -58137295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.12 (c) -2\/439 (d) 1 (e) -7 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b**2 + 30*b + 152. Let u(h) = -3*h**2 - 6*h - 30. Let m(v) = -2*l(v) - 11*u(v). Is m(-19) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -4698, -0.1, 1\/2, 0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 0, -52, 20306, -5, 5 in ascending order.\nAnswer: -52, -7, -5, 0, 1, 5, 20306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 2289, 5232, 9411, 14862, 21621, 29724?\nAnswer: 39207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - a12?\nAnswer: -a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from {s: 1, t: 4, n: 2, c: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:01 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 309, 699, 1243?\n\"Answer: 77*v**2 + 5*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 454702?\nAnswer: -454676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1072*u**6 + 6*u**2 - 80 wrt u?\nAnswer: 128640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5286 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: Calculate the remainder when 28089526 is divided by 338428.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 63, -0.01, -0.4, 0.03, -3, 2?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and -1534798.\nAnswer: -1534784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*k + 550 = 3*m + 532, -1094*k + 1096*k - 5*m = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k - 8. Let c be (-1 - -7*1)\/k. Suppose -3*x + 23244*s = 23241*s - 27, -8 = 3*x + 4*s. Sort c, x, -10 in descending order.\nAnswer: x, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/28 + 1\/4. Which is the nearest to 0.1? (a) 4 (b) m (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.411 and 0.7.\nAnswer: 1.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -345.35 * 61\nAnswer: -21066.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 1792\/37?\nAnswer: 1792\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let w(i) = -i. Let z(y) = -2*y**2 - 5*y. Let h(d) = -5*w(d) + z(d). What is m(h(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 23 = q + 64, 3*s = 4*q + 47. Let h be 34\/s - (-22)\/99. Solve v - h = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45141 or -45138?\nAnswer: -45138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*o**4 - 4\/3*o - o**2 + 4\/3 + 2\/3*o**3.\nAnswer: (o - 1)**2*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3) + 2\/((-64)\/56).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -31 + 241 + -106 + -85?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 4, k: 1, n: 1, g: 4, b: 7}. What is prob of sequence lgb?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u - 129*u = -10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from ytoddtyymoodqyo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9856731?\nAnswer: 3, 3285577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152481890333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 672189726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/230306 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**4\/12 + 11*t**3\/6 + 21*t**2\/2 + 3*t. Let s be c(-9). What is the highest common divisor of s and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741474 (base 8) in base 15?\nAnswer: 1a8b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvylsevvss. What is prob of picking 1 y, 1 l, 1 v, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12624832 is divided by 701375?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(2 - 1))\/((-6)\/(-18)). What is the closest to 0.2 in 3\/2, p, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4075 + 4074.97681. Round m to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1191 - 1106. What is the remainder when a is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5340 - 3414 + 11975)*(-t + t - 2*t).\nAnswer: -27802*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794009 is divided by 158798.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 3*u + 101. Calculate the remainder when s(0) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 10548\nAnswer: 1\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 2*t**2 - 11*t**2 - t + 5*t**2 to s*t**2 + w*t**3 + u + c*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7.84 * 482\nAnswer: -3778.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c + -2242cb?\nAnswer: -22443a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - (-32750)\/(-350))*-56.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 7*g - 7. Suppose 0 = -2*r + 4. Suppose -3*h - 25 = r*h. Does 2 divide k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20519059 and 9999.\nAnswer: 184671531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5338724 to the nearest integer?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 2*x**6\/3 + 40*x**5 + 861*x**4 + 21952*x**3\/3 + 11776*x**2 - 49152*x - 254. Factor g(k).\nAnswer: 4*(k - 1)*(k + 3)*(k + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -17, -28, -51, -92, -157, -252?\n\"Answer: -s**3 + 3*s**2 - 7*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g**4 - 1\/9*g**3 + 1 + g**2 + 0*g + 1\/90*g**5. Let x(f) be the second derivative of n(f). Factor x(l).\nAnswer: 2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54165000 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g + 14. Let b be u(-9). Let q be b\/10 + (-51)\/(-15). Solve z + r = q, -4*z + 2*r + r - 23 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 bigger than 535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (3 + -3 - 1). Suppose 19 = l*v - 17. Suppose j = d + 3, -v = j - 4*d - 3. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) 2 (c) -1\/11 (d) 5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41567 is divided by 41528?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1397438950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 6)*(-3 - 5 + 2*x + 9)*(-34 + 58 + 38) in the form w*x + p and give w.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -3*c**5\/20 - 2*c**2. Let f(m) be the third derivative of -m**4\/8 - 244*m**2. Calculate z(f(i)).\nAnswer: -81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 14872101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -k - 261, -220*h + 221*h + 43 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -3, 17, 77, 195, 389, 677, 1077?\n\"Answer: 3*w**3 - 7*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q**3 - q)*(4 - 3*q - 4) + 9*q**4 - 6*q**4 + 4*q**4.\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111006 is divided by 937?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*h + 258 = -2*h, 2*l - 144 = -2*h. Suppose 0 = -4*x + 1080 - 284. What is the remainder when x is divided by l?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 8. Let i be 47\/(-4) - (-2)\/(-8). Let q be y(i). Solve -5*w = -q*o + 5, 0 = 2*w - 2*o + 2 - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -788 + 13*z - 19*z - 785 - 49*z + 1571. Let o(m) = 55*m + 2. Determine 3*o(n) + 2*x(n).\nAnswer: 55*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30746.\nAnswer: 2, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2262 and -3.\nAnswer: -6786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 90378 = -22212. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 60. Let w = -12 + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 27*l**2 - 169*l + 12. Determine v(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29584689 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 14 = 2*h + 5*t, -h - 2*t + 5 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 16*s - 4. Let f(t) = t**2 + 1. Suppose 15*q + 1371 = 1431. Calculate q*f(o) + h(o).\nAnswer: 2*o**2 + 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00567 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2993*s - 5685*s - 18 + 2691*s.\nAnswer: -s - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0553834012 and 156.\nAnswer: 156.0553834012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 + 9*p + 6. Let k be v(-9). Suppose k*d - d - 925 = 0. Suppose 4*t + 37 = d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12778*v = -12783*v + 2*w + 51, 0 = 5*v - 3*w - 69 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/(-6)) - (2 - -2). What is the tens digit of (-4)\/(-6 - n) - -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3721 (base 10) to base 12\nAnswer: -21a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 5*j - 3822. Suppose -k - 4*n + j = 0, -2*k + 9*n = 14*n - 537. What are the prime factors of k?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28280877 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4100970 rounded to the nearest ten thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**14*k)\/k*k\/(k\/(k\/(k*k*k**(-4\/7)*k)))*k**(1\/5)\/k*k**(2\/39)*k)**13 assuming k is positive.\nAnswer: k**(18868\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 4*c**2 + 1594. Let h(q) = q**2. Give -4*h(x) + v(x).\nAnswer: x**3 + 1594","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -492 + 497. Is 537 + -2 - (12 - l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m - 2*m)*(-14*m**2 + 13*m**2 - 29*m**2) - m**2 + m**2 - m**3 + m**3 + 2*m**3 - 2*m**3 + (m - 3*m + 3*m)*(-m**2 + 4*m**2 - m**2).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0*f + f - 1 + 3*f - 5*f. What is the units digit of a(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 12. Let c be v(-13). Let f be c - -1 - 3\/3. What is the units digit of (2\/(-8))\/(f\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + -1 - (-17 - (-16 + 19 + -11)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 140. What is the units digit of m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = -10. Find the third derivative of 5*d**3 - 20*d**3 + 2*d**2 - 5*d**3 - 3 + u wrt d.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37414534.6156 minus 0.3?\nAnswer: 37414534.3156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 5b4088?\nAnswer: 5b408c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/7)*j*j**28)\/(((j**11*j)\/j)\/j**8))**(10\/9) assuming j is positive.\nAnswer: j**(1870\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20247 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13458 != 13461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/540 - u**5\/45 - u**4\/27 + 8*u**3\/9 - 25*u**2 - u. Determine t, given that y(t) = 0.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 1\/3*g**3 + 2*g + 0 - g**2. Determine u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*n)*((4 - n - 4)*(-4 - 2 + 4) + 0 + 0 + n)*(-1 + 0 + 4).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 12. Let i(l) = -l**2 + 4. Give -7*i(c) - 2*k(c).\nAnswer: 3*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*s = -4*b + 3, -15 = 5*b + 5*s. Let h be ((-2)\/(-5))\/((-1)\/5). Put -4, h, b in descending order.\nAnswer: h, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(-3 - (-4 - 14\/(-10))). Solve l*w = 5*j + 10, 5*j + 4*w - 3*w = -25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1088, -2174, -3274, -4394, -5540, -6718?\n\"Answer: -c**3 - c**2 - 1076*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) -38395 (b) -0.07 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.925 - -0.175. Let j = -3.1 + w. Let l be (2\/(-8))\/(6\/(-8)). Which is the nearest to l? (a) j (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 25*z - 50. Let v be r(27). Let k(h) = 8*h**3 + 5*h. Let p(t) = -22*t + 16*t + 17*t**3 + 17*t. Determine v*p(l) - 9*k(l).\nAnswer: -4*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 460701389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 3, s: 6, o: 1, a: 2, b: 2}. Give prob of picking 1 o and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 849966 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 31*o**3 + 2 - 7*o**3 + 31*o**3.\nAnswer: 62*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1683*g**2 + 334*g**2 - 457*g**2)*(2 - 3 + 0) to the form s*g**2 + d*g + c and give s.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3686*k**3 - 9*k - 40586. Let h(s) = 923*s**3 - 2*s - 10147. Let t(w) = 9*h(w) - 2*u(w). Find the first derivative of t(b) wrt b.\nAnswer: 2805*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (283 - 21*v - 143 - 141)*((2*v + 2*v - v)*(6 + 4 - 4) - v + 5*v - 2*v) to the form k*v + w*v**2 + y and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276 + -266. Which is the nearest to p? (a) -2\/5 (b) 1\/2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3587522982842.299993543 - 3587522981310. Let d = -1532.3 + l. Round d to 7 dps.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -25 + 382*s - 10 + 4 - 31*s - 8. Let p(v) = 44*v - 5. Let r(j) = -5*k(j) + 39*p(j). Let f(o) = o**2. Determine f(r(a)).\nAnswer: 1521*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p + 76*p = 32*p + 2*j - 160, -2*p - j - 80 = 3*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (176\/(-1344)*7)\/(3\/(-48) - 0). Find t such that -16*t**4 + 4\/3 + k*t**2 - 8\/3*t**3 - 6*t**5 + 26\/3*t = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5868737 divided by 24\nAnswer: 5868737\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2305 = x + g, 4*x + 3*g - 3581 = 5640. What are the prime factors of x?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065*-3\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 - 3 - -2. Let l be s + 2 + 1 + 1. Solve 3*w + j = -8, w + l*w - 3*j = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -4. Let l be (1 - (-5)\/(-4))*0\/(-227). Solve l*s + b = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347151 by 1897.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r = -32*r + 2*o - 28791, -2*r = -o - 19201. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 55, 101, 163, 247, 359, 505?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggx when three letters picked without replacement from ggcggxggckx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1152 + 3454. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -164266?\nAnswer: -164275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s - 4*s)*(73 + 7 + 8 + 23391*s + 8 - 96) as i + x*s + o*s**2 and give o.\nAnswer: -93564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9084)\/(-9)*75\/50.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m - 6. Suppose -3*a = -4*a + 10. Calculate the remainder when ((-6)\/a)\/(6\/(-570)) is divided by c(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016680886 rounded to four decimal places?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 0 - 8*a**4 - 1\/2*a**2 - 4*a**3.\nAnswer: -a**2*(4*a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*m = 9, -4*z - 6*m = -2*m. Solve 2*p = 5 + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.05753.\nAnswer: 0.25753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 164, 333, 502?\n\"Answer: 169*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -436*z + 424*z. Which is the closest to -1? (a) 0.1 (b) z (c) 6356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from xbxxbxx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/3)*n**(2\/9)*n)\/(n*n\/n**(-3\/2)*n*n**(-2\/5)))**(-10\/9))**(1\/6) assuming n is positive.\nAnswer: n**(319\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.8 + -13.3. What is the nearest to -0.1 in -5.3, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 127817 and 0?\nAnswer: 127817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -2, -0.2 in descending order.\nAnswer: -0.2, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108198443 at most as big as 108198442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1344\/21)\/(-512))\/(((-10)\/(-5))\/(-1712)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 12*u - 16*u - 22, 3*u + 27 = -5*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3 - 213284*i**2 - 426512*i + 5118720 = 0.\nAnswer: -106640, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28 + (15\/3 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231864 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 439000*z**6 + 189813*z**2.\nAnswer: 52680000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66728, -133442, -200156, -266870, -333584, -400298?\n\"Answer: -66714*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -340968 or -340970?\nAnswer: -340968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9091599 is divided by 764?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259 (base 10) to base 3.\nAnswer: 100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (1 - (-6 - -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931788.\nAnswer: 2, 139, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2497 + -1. Is c a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*(-76 - -82)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*b - 5*b + 326 = 0, -2*y + 324 = 4*b. List the prime factors of y.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*a = 105*a - 8330. Round a to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140000357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25142988, -25142990, -25142994, -25143000, -25143008, -25143018, -25143030?\n\"Answer: -k**2 + k - 25142988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 20. Let p be r + 5 - (1 - -3). Find the first derivative of 0 + p*g**3 - 10*g**3 - 3 + g**3 wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-12) + (-76)\/(-24) is divided by 1 + 3 + (1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:08 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15286 divided by 1\nAnswer: -15286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39275 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l + s - 4, -s - 6 = -3*l. Solve -l*k + 3 = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4237, -2\/3, -0.1, -12\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5 = -b, -3 = 4*b - 2*s + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 21 - 12) + -1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 5*d + 5*d)*(2 + 0 + 0)*(6 + 6 + 6).\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1.6, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8 = 2*s, -3*f + 12 = 3*s + 6. Let j(d) be the third derivative of -d**6\/120 + d**5\/10 + d**4\/24 - 4*d**3\/3 - d**2. Give j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 82. Let t be -4*3\/(-36)*3 - -7. Sort t, 2, g.\nAnswer: g, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73899197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181407296*a**2 + 161043417?\nAnswer: -362814592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.15685 + -0.12815. What is l rounded to 1 dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3558051724.\nAnswer: 2, 21089, 42179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72960 by 6.\nAnswer: 12160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) 4 (b) 2 (c) -4 (d) 0.1 (e) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4 + 0*k + 0 - k. Let s(v) = 2*v + 7. Let j be (9\/(-2))\/(2\/(-4)). Suppose 2*c = -c + j. Determine c*s(g) + 5*t(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 356769 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 2 (c) 7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.682 + 0.6. Let x = 0.082 + b. Let q(j) = -j**3 - 2*j**2 + 3*j + 2. Let p be q(-2). What is the fourth biggest value in p, x, 5, -0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 0*l**2 - 4 + 0*l + 1\/2*l**3 + 3\/8*l**4 - 1\/4*l**6 - 3\/10*l**5. Factor a(h).\nAnswer: -3*h**2*(h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72.21748 - -73.3654303. Let i = n + -1.148. Round i to six dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(4 - 6)*2\/(-6). Let g(f) = f**3 - 5*f + 1. Let z be g(n). Suppose z*p - 16 = -4*b - p, 4*b + 2*p - 14 = 0. Solve -c + 1 = -b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 348875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1.7, 0.82, 1\/2, 0.4 in descending order.\nAnswer: 0.82, 1\/2, 0.4, 2\/7, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:32 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 3*a**2 + a**2 + 115 + 0*a**2 + 2*a**2.\nAnswer: -a**2 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 16548 = 15*w. Differentiate -w*a - 6 - 8 + 525*a with respect to a.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 319 + 523 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 372465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03411764 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -2141012?\nAnswer: -2141000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let l = 43 - 64. Let x be ((-224)\/l)\/2 - 1\/3. Solve -2*a + a = 4*n + 4, d = -a + 5*n + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002295402 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850750 and 6380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-25)*-15)\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-80)*60\/(-16)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 divided by -137?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from dnlfg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2943457*u**3*w + 4*u**3 - 58*u - 78 wrt w.\nAnswer: -2943457*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 27 = -0. Let z(s) = s - 7. Let n be z(3). Which is the closest to -0.3? (a) -0.4 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.1 - -10.3. Let n = 24.8 - l. Which is the second biggest value? (a) n (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 550.257 nanometers?\nAnswer: 0.0000550257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -0.3, 95, -5, -705\/2 in descending order.\nAnswer: 95, 3\/8, -0.3, -5, -705\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 21. Let j be 0\/s + 9\/3. Which is smaller: 7\/4 or j?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkvk when four letters picked without replacement from {k: 2, v: 6, x: 2, e: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -194eb04?\nAnswer: -194eaf7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/60 - y**4\/4 - y**3\/2 - 3*y**2. Let d be m(6). Put 3, d, 2 in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2415158.\nAnswer: -1\/2415158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {g: 7, j: 3, w: 1, t: 2, e: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-1)\/(-4 - -5). Suppose -t*w + 4*w = 10. Let l(q) = -q**3. Let g(j) = 5*j**3 - 4*j**2 - 3*j - 5. Let d(u) = g(u) + 4*l(u). Give d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1267 - -1432. Let f be (-4)\/8*(39 - 1). Let s = f - -40. What is the remainder when d is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10583502341\nAnswer: 10583502336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3829*f = -3827*f + 2. Let c be 16\/(-48) - f\/3. Let -5\/4*t**4 + c - 15\/2*t - 5\/4*t**2 + 5*t**3 = 0. Calculate t.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3151.8462 and 3078.\nAnswer: 6229.8462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j - 3*j - 2 + 3*j)*(1 + 3 - 3) - 1 + j + 1 + (1 - 2 - 1)*(0*j + 4*j - 6*j) + 56*j + 19*j - 2*j as g*j + d and give g.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 17*z + 5. Let h = -15 - -32. Let p be m(h). Suppose 3*c + 2*c = -p*d + 60, -5*c = 4*d - 47. Calculate the remainder when 61 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190 - -259. Let h be c\/23*(17\/9 + -2). Which is smaller: h or 0.08?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 3. Let x be m(-10). Let r = -10 + x. Suppose -b - r*b = -88. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**2 - 3*g - 2. Let v(h) = -19*h**2 - 6*h - 3. Determine -5*u(j) + 3*v(j).\nAnswer: -12*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-510)\/(-50))\/(-17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + k + 2*k)*(4*k - 2*k**2 - 4*k) + k**2 - k**2 - 2*k**3 to r*k**2 + s*k**3 + z + y*k and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - w - 4. Suppose -2*n + 1482 = 4*i, w*i - 5*n - 1488 = -n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -25. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddij when four letters picked without replacement from {i: 6, s: 1, j: 4, d: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8179133 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2652663398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -215.451633 - -215.538. Round a to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -369 - -517. Let b = h + -147.4. What is the third smallest value in 2, 2\/3, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-10 - (14 + -12 + -33)) + (3 - 14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670662 bigger than 3670661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkukkuukkkkkukkkk. Give prob of sequence ku.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/17)*q)*q)**(33\/4) assuming q is positive.\nAnswer: q**(495\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113 + -4913?\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -49*n**3\/3 + 186*n + 65. Find the first derivative of v(t) wrt t.\nAnswer: -98*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = 31*d + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 17*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - -1811?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*l**3 + 27\/5*l + 3\/5*l**2 - 27\/5 = 0. What is l?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 32*n + 37*n = -15, 2*o - 21 = -n. Let f = -9 + 41. What is the remainder when f is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.155 times 10?\nAnswer: -391.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*r + 60, -2*r + 366 - 327 = -7*b + 2*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*g)*(2*g**2 - g**2 + 0*g**2) + 2*g**3 + 11*g**3 - 2*g**3 - 204 + 204 - 39*g**3 as p*g**3 + l*g + k + u*g**2 and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(-10)\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 5, a: 7, t: 6}. Give prob of sequence app.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 7*z**2 - 9*z + 7. Suppose -7 - 9 = -2*p. Let u be f(p). Is -7 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**4 + 1035*d**3*r + 28*d*r - 122*d + 2*r + 1 wrt d.\nAnswer: -108*d**2 + 6210*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 48*a = 22*a - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 46*t + 13. Let n be h(-9). Suppose 3*l + l = -n*z + 3716, -5*l - 4635 = -5*z. Is 54 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4 - 16124*t**3\/3 + 32481794*t**2\/9 + 7223552*t\/3 + 401408 = 0.\nAnswer: -1\/3, 1344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(sqrt(108) - (1 + sqrt(108)) - (-2 + sqrt(3) + sqrt(3) - sqrt(3))*6)*-3.\nAnswer: -144*sqrt(3) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 12\/5*y - 12\/5*y**3 - 12\/5 + 3\/5*y**4 + 9\/5*y**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78425 greater than or equal to 78426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*37\/111\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*q**6 - 11*h**3*q**2 - 2*h**2*q**2 - 96*h**2*q + 7616*h*q**6 + 3*q wrt q?\nAnswer: -240*h**3*q**3 + 913920*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3010 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 10 = -4*v + 4*b, 4*v = -4*b - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -902 + -6?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from drooooorrorololoroo.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23621501*r*v**3 - 40*r*v**2 - 4*r*v - r + 6979*v**2 + v - 1 wrt v.\nAnswer: 141729006*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16313 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or -89?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 10*g + 2. Let k be a(-8). Let i = k + -11. Let y be 7\/(7\/33) + 2. What is the highest common factor of i and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 2:03 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38560624 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 76, 22\/5, -0.3, 17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:11 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let x be l(5). Solve 6 = -x*b + 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 723210*s - 1446400.\nAnswer: -5*(s + 2)*(s + 144640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.48008cm?\nAnswer: 0.0000148008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 22, 40, 62, 88, 118?\n\"Answer: 2*h**2 + 8*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(4\/3)\/v)\/(v*v\/(v*v*v**(-2\/11)))*(v**(2\/3))**(-29) assuming v is positive.\nAnswer: v**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316 and 90850.\nAnswer: 181700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(2 - -2) + -1. Suppose 5*c = 0, 4*s + p*c - 40 = 3*s. Suppose -s = -g + 3. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*i - 1367, -3*i - 1166 + 483 = -2*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*l + 96, -9 = -2*j - 2*l + 21. Suppose 5*p - 4 = p, -2*p - j = -4*q. Suppose 0 = q*d - 30. Solve 3 = z + d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33992111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5249 - -5252.473. What is v rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177367998 * 0.3.\nAnswer: 53210399.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5278 and 41\/14.\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42414, 42410, 42404, 42396, 42386, 42374, 42360?\n\"Answer: -a**2 - a + 42416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 7)*(-501)\/(-12). Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (4 - 4)) + -29. Let q = -22 - n. What is the tens digit of 5\/(-10)*(q + -77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070293203 to 5 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 15720006 and 437.0183.\nAnswer: 15720443.0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37820 and 68076?\nAnswer: 340380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527905 or -527834?\nAnswer: -527905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + -2*sqrt(7) + ((sqrt(28)\/sqrt(2))\/sqrt(2))**2 + -4.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12*l + 74 = 8*l, 2*l - 2 = 0. Is 2 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -58. Solve 4 = i*h - h - 2*t, -5*h - 12 = -2*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -349*j + 7391. Give p(22).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -103*v**2 + 31*v**2 - 101*v**2 + (-1 - 2 + 1)*(5*v - v**2 - 5*v).\nAnswer: -171*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/5, -1326\/7, -59.5, 1\/5 in ascending order.\nAnswer: -1326\/7, -59.5, 1\/5, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i - 10. Let q be f(4). Suppose 7*w = q - 17. Suppose -72 = -4*p + 36. What is the greatest common factor of w and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 3. Let c(i) = -2*i. Let j(f) = 16*f - 7. Let u(x) = -14*c(x) - 2*j(x). Suppose 0 = 3*v - 7 - 2. Give v*u(h) + 14*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.04 and -3.85?\nAnswer: -84.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {h: 2, f: 3, b: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x**3 - 22*x**2 + 12*x + 15. Let q(f) = -f**3 - 2*f**2 + 2*f + 2. Let i(p) = j(p) - 9*q(p). Give i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774.3793938 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**6)\/s*(s*s*s*s**4\/s*s)\/s*(s\/s**(1\/2))\/s**(4\/9)*(s**(3\/4)\/s**(-2\/11))\/((s\/(s\/(s\/s**(-1\/3)*s*s)))\/s*s)**(-4\/11) assuming s is positive.\nAnswer: s**(1267\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143*1*39*1244\/(-133419).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**2 - 6675*o - 40016. Determine i(-6).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.665173 - -93.\nAnswer: 57.334827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -128279812 rounded to the nearest 100000?\nAnswer: -128300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 322*u**2 + 1154*u + 1028. Let h(d) = -d**2 + d + 2. Let f(k) = -2*h(k) + x(k). Let f(r) = 0. Calculate r.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-10))\/(2\/5). Suppose 3*d + 12 = -d. Put h, 3, d in decreasing order.\nAnswer: 3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -475222210, -475222208, -475222206, -475222204, -475222202, -475222200?\n\"Answer: 2*v - 475222212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22507 - 22506.9. Which is the fourth smallest value? (a) -2 (b) -7 (c) u (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545386 is divided by 7774?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -5\/37, -0.15, 11, 3?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1325 = -2815. What is the highest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i - 5*i + 4*i + 82*i**2 - 8*i - 10 wrt i.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:29 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3003, 2, -3209 in ascending order.\nAnswer: -3209, 2, 3003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -5, 1, 5 in decreasing order.\nAnswer: 88, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18*y*y)\/(y*y**2)*(y**(-19)*y*y*y)**(-7\/6) assuming y is positive.\nAnswer: y**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 - n + 1\/180*n**6 + 0*n**2 - 1\/24*n**4 - 1\/2*n**3 + 0*n**5. Let j(o) be the second derivative of s(o). What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5445) - (sqrt(5445) - -4*sqrt(5445)))*-2)\/((3*1*sqrt(18))\/sqrt(2)))**2.\nAnswer: 38720\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 186.01257 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q - 329 + 1161 = 14*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25756 is divided by 228.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.95 - -0.05. Let x = w + -6.4. Let z = 8221\/6 + -1371. Put 5, x, z in ascending order.\nAnswer: z, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3281 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5, -n + 2*d - 2 = -0*n. Solve 3*g - 5 - 4 = n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1676247 + -4?\nAnswer: -1676253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 52*t**2 - 48*t - 327. What is the hundreds digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3541, 3928, 4313, 4696, 5077, 5456?\nAnswer: 5833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than or equal to -822\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*d)*(1 + 1 - 3) + (-4 + 4 + 1)*(1 - 1 - 5*d)*(-3 - 2 - 20) to the form j + v*d and give v.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3189, -7767, -13727, -21069, -29793, -39899?\nAnswer: -51387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 9144*y**3 - 10017426*y**2 + 4647739752*y - 775054824267.\nAnswer: -3*(y - 1031)**2*(y - 493)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*u - 238, 0 = -q + u - 39 + 105. Calculate the remainder when q is divided by 2\/(-28)*-122 + 8\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, -1\/3, -79, -8, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161584844.90000041 + -161584844. Let r = 2.6 + -1.7. Let i = v - r. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 26 - 21 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 2. Suppose 9*i + 8*i + 430 = 991. What is the least common multiple of i and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 5, -0.03, -0.283, 0.2?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p. Let b(t) = 4*t + 3. Let o(j) = 3*j + 17*j + 5 + 3 - 8*j. Let c(i) = 8*b(i) - 3*o(i). What is c(d(h))?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 312?\nAnswer: 311.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from {i: 1, c: 4, n: 4, f: 3, r: 6, u: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 2, z: 5, l: 3, r: 1, c: 1}. What is prob of sequence rc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2764622 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 + 9301929*d**2 + 37207680*d + 37207668 = 0. What is d?\nAnswer: -3100639, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/15 - 2*h**2. Let b(m) be the first derivative of -m**3\/3 + 23. What is y(b(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 376900 - 157623. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f**3 + 1\/16*f**4 - 11\/2*f**2 - 1 + 1\/120*f**5 + 0*f. Let a(h) be the second derivative of j(h). Factor a(b).\nAnswer: b*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (72*q**2 + 141*q - 4*q**2 - 136*q - 3)*(q**2 - 24*q + 24*q) as v*q**4 + g*q**3 + f*q**2 + w + a*q and give v.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.5. Let y = 1.1 + s. What is the third smallest value in -2\/3, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371852 divided by 536?\nAnswer: 92963\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.3471003 microseconds to weeks.\nAnswer: 0.00000000006009771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/8)\/((-1)\/12). Suppose 5*q - 3*y - 33 = s*q, 4*q - 75 = -3*y. Suppose q = -6*t + 300. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47849 = -11*y + 10*y + 5*f, -47855 = -y + 2*f. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - (-39)\/48)\/((-753)\/(-5020)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 + 2.8. Let n = g + -8.4961. What is n rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110059224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - 2530\/(-44))*2\/8*8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 - (11 - (0 - (6 - 14))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5 + 8763*g**4\/5 - 224716*g**3\/5 + 1934724*g**2\/5 - 5859136*g\/5 + 2048256\/5 = 0.\nAnswer: -1778, 2\/5, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1712)\/535)\/((-12)\/4 + 34\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9468? (a) 5 (b) 0.03 (c) -13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/4 - 3\/(-4). Put z, 2, -4 in increasing order.\nAnswer: -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -51. Let p = z - -25.9999846. Round p to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4698 and -16\/9309?\nAnswer: 502686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -56 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = 5*f - 0*f, r + 2 = -2*f. Let k = 34 + 34. Calculate the highest common divisor of r and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416993 and 2261.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n + 9. Let r be 1\/n - 68\/(-16). Suppose r*d = -0*d + 40. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f + 12. What is the lowest common multiple of f and ((-18)\/(-3))\/((-1)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = 0, 33 = 5*b - a - 28. Let z = 28 - -13. Let q = z - b. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 10*r + 12*r - 39*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.66, -1\/10, -2340.6?\nAnswer: -2340.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11520537 divided by 235113.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i**2 - 2*i - 8. Give j(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - 119\/28 - -3. Let g be (17\/3)\/k - 2\/(-3). Let m(w) = w**3 + 6*w**2 + 6*w + 3. Calculate m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -13*h**6 + 9*h**3 + 93. Find the third derivative of j(o) wrt o.\nAnswer: -4680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1672992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 210. Let u = 143\/2 - n. Let l = -414\/7 - -416\/7. Put u, 0.3, l in ascending order.\nAnswer: l, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 980, 0.7, 3, -0.3.\nAnswer: -0.3, 0.7, 3, 980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112696951 or 112696949?\nAnswer: 112696949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/14*(-5104)\/(-957)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 3*h - 100. Let l be (-4 - -11)*(0 - 1). Let z = l - h. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -b - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20)*5*160\/(-2800).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44560275 + -0.0246.\nAnswer: 44560274.9754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 39 + 21 + (2 - 3 + 0)*(4 - 4 + 1) + 5 + 0 - 3 + 3 - 4 + 2 + 0 + 5 - 4)*(-141*v + 82*v + 80*v).\nAnswer: 840*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1144 + 1112 + 5*t + 6*t. List the prime factors of l(41).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r**3 - 15*r**3 + 4*r**3)*(3 - 1 - 1)*(0*r + 3*r - 4*r).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -432*t - 98 + 138 - 40 in the form x + p*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/190944 and 59\/557685.\nAnswer: 231996960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = 3*b, -4*a = 5*b. Suppose b*s = -4*s + 204. Let q = s + -31. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 47939, -1, 0 in descending order.\nAnswer: 47939, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11804988.14 rounded to the nearest ten thousand?\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*t**4 - 674960*t**3 + 14*t - 372135374.\nAnswer: -12*t**3 - 2024880*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/14)\/(15\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29229 - 8042 = 987*x - 40851 - 28766 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3869, -3874, -3879, -3884, -3889?\n\"Answer: -5*l - 3864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -28. Let l be 2\/z - (-6)\/(-18). Let k = -15208 - -15207.8. Sort -1\/6, 2\/7, k, l in descending order.\nAnswer: 2\/7, -1\/6, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 6*s**2)*((4 - 1 - 2)*(-5 - 2 + 6) - 2 - 3 + 3)*(3 - 1 - 4) to the form y*s + t*s**2 + q and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469553122 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -116, -60, 118, 484, 1104?\n\"Answer: 11*i**3 - 5*i**2 - 6*i - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -73\/2, -2, 7, 1\/4 in increasing order.\nAnswer: -73\/2, -2, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.13, 2\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.51 minus 0.1?\nAnswer: 314.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7*k + 3*k + 20 = 0, -r + 4*k - 20 = 0. Suppose 3*a + r*a - 3 = 0. Which is bigger: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.257 + -0.297. Let z = 136 + -141. Let b = z + p. What is b rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -190 and -191 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18082 + 47080. What is the thousands digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 160178972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 97464 divided by 142\nAnswer: 48732\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + -16089?\nAnswer: -16089.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536*s**2 - 4*s + 52 wrt s?\nAnswer: -1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - -1 - -3 - -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -3b2?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let i be ((-2)\/(-3 - 35\/((-49)\/7)))\/(3 - 1). Which is the second biggest value? (a) 1\/4 (b) i (c) q (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001011101010111 (base 2) to base 11.\nAnswer: -252a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 5*y = -179, -134 + 110 = -4*y + 132 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {u: 2, c: 2, k: 7, m: 3, s: 3, t: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2794 and 22.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/(1*27\/(-63)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(21\/8)*t\/(t\/(t\/(t\/t**(-33))))*(t*(t**(2\/15)\/t)\/t*t)\/t**(2\/13) assuming t is positive.\nAnswer: t**(-54047\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 + 14927 + 6. Let h = -8684 + p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -1926\nAnswer: -30816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131104432 (base 5) in base 6?\nAnswer: 21451103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 + 2469 = 18*c. What is the tens digit of ((-10320)\/c)\/((-6)\/80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 2}. Give prob of picking 1 h and 1 m.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -51, -98, -175, -294?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y - 1. Let r be a(5). What is the units digit of (2 - 3) + 3 - r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083731409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from uooon.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/3 - 166*w**3\/3 + 164*w**2\/3 + 166*w\/3 - 55 = 0. Calculate w.\nAnswer: -1, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 13 - (-3 - -8)) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 791 and 565?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12095 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-3 + 6) - (48 - 73)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/11)\/(j\/(j*j**(-2\/5))))**6)**(-40) assuming j is positive.\nAnswer: j**(1536\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (0 + (1*sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80)) - sqrt(80)) + -3 + (sqrt(80) - (sqrt(80) + 1 - sqrt(80)) - sqrt(80)))**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4956 and 644988.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*f - 2*f - f)*(13 + 11 - 4) - 8*f + 18*f - 9*f)*((2*f - 3*f + 0*f)*(-2 - 1 + 2) - f - f + 0*f - 2*f - 4*f + 5*f)*(-287 + 18*f + 287).\nAnswer: -1476*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.533 and -0.03436?\nAnswer: 3.56736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5 - 21 - 5*z + 22. Let h(j) = 5*j + 5. Give 4*h(s) + 5*k(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3720\/(-868))\/(1\/(-28)*5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r**2 - 2*r**2 - 3*r**3 + 9*r**2.\nAnswer: -3*r**3 + 57*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1.8. Let c = w + 0.9. Is -2\/3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*34\/4 + (371 - 383)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6102 is divided by 72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 597 - 387. What is the greatest common factor of n and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 277282390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 - 2022?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -2*u. Let b(x) = -x**2 + 4*x - 4. Let i be b(3). Let l(j) = j**3 + j**2 - j. Let t(m) = 3*m**2 - m - 2. Let p(f) = i*l(f) - t(f). What is p(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1264718320 to the nearest integer?\nAnswer: 35563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -93\nAnswer: -13\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13*k - 590. Let p be l(45). Which is the closest to -2\/5? (a) -2\/541 (b) -2\/5 (c) 4\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.298, -3, -0.2, 35, 5 in descending order.\nAnswer: 35, 18, 5, -0.2, -0.298, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -16, -1121 in descending order.\nAnswer: 17, -16, -1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + -1) + (sqrt(120)\/sqrt(5))\/sqrt(8).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -23. What is the common denominator of -22\/7 and 78\/35 - x\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13012 - -10141455?\nAnswer: 10154511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -124. Suppose -2*w = 2*q + 1014, 0*q - g*w - 2535 = 5*q. Round q to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*z + 4, 0 = 4*q - 4*z - 9 + 1. Let h be 14\/6 - q\/(15 + 3). Put h, 1, 17 in descending order.\nAnswer: 17, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086258507 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: Rearrange 2786*s - 1229*s - 2266*s to the form h*s + j and give h.\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = 6*c - 193 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 17*r + 14. Let h be s(11). What is the highest common factor of 48 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 + 185 = 29*c + 141 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84118.97 tonnes in milligrams?\nAnswer: 84118970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5112 - 34?\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**3 - 83*j**2 + 61*j - 460. Determine k(10).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -48. Suppose -m*w + 590 = -5*z, 243 = -3*w - 4*z + 851. What is the common denominator of 19\/9 and w\/140*(-1)\/2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:17 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4715472 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooososso.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 4*g**3\/3 + g**2 + 300*g. Give y(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 281377177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*y**3 + 12710 + 137*y**2 - 12710 wrt y.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2) - (-9)\/7. Let b = 335\/747 + -1\/249. Let f = -0.2 - -0.4. Put f, x, b in ascending order.\nAnswer: f, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 3*y - 3*d, -5*y + 7*d + 1186 = 11*d. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**2 + 43*f + 107*f - 44*f**2 + 4*f**2.\nAnswer: -70*f**2 + 150*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*136188\/(-249678)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6035 - -26746. Suppose a = 6*z - 3177. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4706 to one decimal place.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, q: 1, w: 2, a: 2, u: 1}. What is prob of sequence uaw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/18*(-2)\/(-4). Which is the nearest to -0.1? (a) 0.2 (b) w (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9\/10, -46, -4?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/57)\/r*r**(2\/97)*(r**24)**(-3) assuming r is positive.\nAnswer: r**(-403697\/5529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5254, 20985, 47192, 83875, 131034, 188669, 256780?\nAnswer: 335367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2468*c + 860 = 2382*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**43*(v*v*v*(v\/(v*v\/(v*v**34*v)*v))\/v*v)\/v*(v**(1\/4))**(1\/17))**(-48) assuming v is positive.\nAnswer: v**(-64476\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0100210477 rounded to four decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0845268 centuries to months.\nAnswer: 101.43216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23381.29*44.\nAnswer: -1028776.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/90 - 8*k**4\/3 - 256*k**3 - 186*k**2. Factor i(o).\nAnswer: -2*(o + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 19, -25, -1, -12, 2 in increasing order.\nAnswer: -25, -12, -1, 2, 19, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**2 - 1. Let a(f) = -2564*f**2 - 151*f + 2. Let o(u) = -a(u) - 2*n(u). What is the second derivative of o(y) wrt y?\nAnswer: 5084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 4*n + n)*(3 - 2 - 3) - 23 + 24*n + 23 - 2*n + n + 0*n + (3*n - n + 0*n)*(3 - 1 - 4) in the form p*n + y and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.355 - -4674.52.\nAnswer: 4674.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*k + 4\/7*k**2 - 32\/7*k**3 + 0 + 4\/7*k**4.\nAnswer: 4*k*(k - 7)*(k - 3)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19753 is divided by 1951?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + 460ab?\nAnswer: 460c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 26*k + 753 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**4 - 1100876*f**3 - 4403548*f**2 - 5504452*f - 2201784 = 0.\nAnswer: -2, -1, 275223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 2*l - 2 + 2 - 6*l**5 + 3*l**5 - l**5 + l**5 - 4*l**5 + 4*l**5 + (-3*l + 2*l - l)*(-l**3 + l**4 + l**3) - 2*l**5 - l**5 + l**5.\nAnswer: -9*l**5 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + -4 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 35 = 9. Let w = u + 13. What is the second derivative of w*o**2 + 5*o - 2*o - 5*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3496*h**3*i**2 - 3*h**3*i + 2*h*i + h + 930*i wrt i.\nAnswer: -6992*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 164589?\nAnswer: 164599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 220*l + 10. Let d be n(2). Suppose -23*g - d = -28*g. What is the remainder when 538 is divided by g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25592, -22, -7.8 in descending order.\nAnswer: 25592, -7.8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juvmmjvjvbvsvujvusj. Give prob of sequence jmbv.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence els when three letters picked without replacement from {h: 1, s: 4, e: 2, t: 1, w: 2, l: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162329147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 21 - (-83 - (-14 - 16))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 5*f + 14. Let n be r(-4). Suppose n*j + j = 6*j. Solve 2*g = -v + 2*v, j = v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -0.2 in decreasing order.\nAnswer: 2, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and 151150.61088.\nAnswer: 151150.73088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -231646 - 5?\nAnswer: -231653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 9*k**2 - 13*k + 1. Let l be d(6). Suppose -3*b - 615 = -5*t - 4*b, 5*b = 4*t - l. Suppose 0 = 3*y - t + 44. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -494 - -947. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -84.682\nAnswer: 83.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 + 4*n - 2. Let z be m(-2). Let t be (7 + -6)\/(1\/(-1)). Sort z, t, 5.\nAnswer: t, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00593715046 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 474*a**3 + 0*a**2 + 6*a**2 + 3 + 502*a**3 to c*a**2 + y + d*a**3 + b*a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -39. Suppose -4*c = 8, -3*m + 8 = -0*m - c. Find the second derivative of -b**m - b + d*b - b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000616 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Let r(x) = 5*x + 2. Let i(k) be the second derivative of 2*k**3\/3 + k**2 + 23*k. Give m*i(p) + 3*r(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 2*z - 3*r, -5*z + r = -3*r - 532. Calculate the remainder when z is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from xtrxrcrfcfbbrr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/168?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645175, -1290353, -1935531?\nAnswer: -2580709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698088042.\nAnswer: 2, 7, 353621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60208 - -85345. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 = -2*j, 5*j - 5*b = -4*b - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 109. Which is smaller: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -14, -40103, -3, 0, -7 in descending order.\nAnswer: 26, 0, -3, -7, -14, -40103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74425.5 + -74426. Let z be 16\/(-5) + (-2)\/(-10). Let d be (3\/(-12))\/(10\/8). Sort b, d, z, -1 in descending order.\nAnswer: d, b, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 4.2\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2074 and 5100?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0151*-46772.\nAnswer: 706.2572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*n - 35, 4*p - 6*p - 4*n + 22 = 0. What is the smallest common multiple of p and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 + 60*p - 153 = 0?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 13*v**3\/6 + 13*v**2 - 160*v. Let w be j(-2). Solve w = 3*a + 3, y + 4*a = 3*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-2 + (-6)\/(-8)). Let i = 4 + -4.4. Let s = 73 + -507\/7. What is the closest to -1\/2 in i, a, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111834 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4\/4 + 5973*n**3\/4 - 17937*n**2\/4 + 17943*n\/4 - 2991\/2 = 0. Calculate n.\nAnswer: -1994, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 - p**2 + 4*p + 3. Let w be -8 + (-2 - -2)\/(-2). Let c = w + 6. Is v(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5 - 2744\/5*j - 274*j**2 = 0. What is j?\nAnswer: -2, -2\/685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4211786392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80989 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 7, r: 3, f: 3, m: 4}. What is prob of picking 2 f?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 - 7)*(-h**4 - h**2 + h**2) - h - 3*h**4 + h - 2*h - 2*h**4 + 2*h + (1 - 4 + 1)*(h**4 - h**3 + h**3) + h**4 + 0*h + 0*h + 3*h**4 - 6*h**4 - 6*h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 - 2*h + 1. Let a be -3*(-2)\/((-4)\/2). Let b(i) = -6*i**2 + 3*i - 1. Let u(j) = a*m(j) - 2*b(j). Differentiate u(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 - 85. Find z such that -z - 4*z**2 + 2*z - v*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/47)\/(15\/(-10)*14\/(-483))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2184*f + 518*f - 84966 = 0 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 + 60*k**2 - 60*k**2 - k**2 + 23*k**3 - 2*k - 19*k**3 as p + u*k + z*k**2 + x*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthth. What is prob of picking 3 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 22. Let b be s(-17). Suppose -23 = -z - 5*k, -2*z + b*k = -4*z + 61. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**3 - 3*x**2 + 3*x - 4. Let b be z(2). Are b and 53 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/31 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.98 + -8.22. Let n = v - -9.2864. Let o = n - 0.08. What is o rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x - 716. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 258*g**2 - 10802*g - 67. Calculate t(42).\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681*h + 1668*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -112*y**2 - 670*y + 30. What is j(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -121*d**4\/21 - 44*d**3\/21 - 2*d**2\/7 + 82*d + 21. Let i(u) be the first derivative of v(u). Find y, given that i(y) = 0.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1173216 and 1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18304 divided by 8\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/48 + i**2\/8 - 2*i + 1. Let h(w) be the first derivative of v(w). Determine d, given that h(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1236)\/(-1854))\/((-44)\/612).\nAnswer: -102\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Let i(f) = f - 2. Let p(b) = -b + 1. Let c(u) = l*p(u) - 2*i(u). Let v be (-3 + 2)\/(-2)*(-2)\/1. Let z(x) = 4*x + 2. Give v*z(d) + c(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*z + 602 = 4*d + 478*z, 0 = -3*d - z + 457. What is the greatest common factor of 2703 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4197, 16059, 35835, 63531, 99153, 142707, 194199?\nAnswer: 253635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2477871, -2477860, -2477835, -2477790, -2477719, -2477616, -2477475, -2477290?\nAnswer: -2477055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -28. Let t be (-471)\/z + 2\/(-12). Let q(n) = -n**3 + 6*n**2 + 7*n - 3. Let a be q(6). What is the greatest common divisor of a and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 177, 517, 1107, 2073, 3541, 5637, 8487?\n\"Answer: 21*l**3 - l**2 + 196*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1897.4 - -2025.4. Which is smaller: q or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g - 14. What is w(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*((r**(-7\/2)\/r)\/r*r)\/r*r)\/((r**(12\/13)*r)\/r) assuming r is positive.\nAnswer: r**(-89\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91000913 rounded to two dps?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 152418.861s?\nAnswer: 0.2520153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pduu when four letters picked without replacement from {d: 1, u: 2, p: 7}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 + k - 1. Let m(p) be the second derivative of -3\/2*p**2 + 1\/2*p**3 + 1\/5*p**5 + 3*p + 0 + 1\/6*p**4. What is m(h) - 2*x(h)?\nAnswer: 2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1, -3, 4, 5145 in ascending order.\nAnswer: -5, -3, -1, 0, 4, 5145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x - 9*x + 6 + 15*x. Let n be r(-3). Suppose 88 = c + n*c. 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 q(g) = 183*g. Let u(h) = -702*h**2 - 5*h + 2. Determine u(q(z)).\nAnswer: -23509278*z**2 - 915*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -11\/4, 0.4, -70, -4 in increasing order.\nAnswer: -70, -4, -11\/4, -2, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -405*t - 443. Is g(-130) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(400\/(-80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*u, -4*d = 3*u - 0*d + 4. Suppose -4*v + k - u = -3*k, -21 = -3*v - 3*k. Calculate the greatest common divisor of v and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:25 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/2)\/((-117)\/(-78))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -8) + (-69 - -62)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. Let i(b) = b**2 - 4*b + 2. Let p be i(j). Factor -2*l**5 - 6*l**3 + 2*l**2 - 6*l**4 - 6*l**2 + p*l**2.\nAnswer: -2*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(-3 - (-10)\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8679241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:29 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**21\/r*r)*r**(-18\/5)*(r\/r**(-14\/5))\/(r\/r**15) assuming r is positive.\nAnswer: r**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 131821156*y\/3 + 4344204292294084\/3.\nAnswer: (y - 65910578)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*n**4 + 146*n**3 + 7*n**2 - 668*n wrt n.\nAnswer: 1152*n + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -239*c + 63. Calculate the remainder when g(-5) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -355 - -355.00249. What is c rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*w**2 - 64*w**5 + 45*w**2 + 61*w**5 - 2*w**4 wrt w.\nAnswer: -180*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3572772 + -1?\nAnswer: -3572773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/44971?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/60 - b**4\/24 + 3*b**3\/2 + 2*b**2. Suppose -3*u = 5*n - 6, -n - 10 = -0*u - u. Is z(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {l: 8, n: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from lxlxllxxlxxxxlllxlxx?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1567000 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 18. Let u be h(-23). What is the closest to 0.06 in u, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 343? (a) -2 (b) 0.2 (c) 1\/4 (d) 326\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2989252 micrometers to centimeters.\nAnswer: 0.00002989252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32142062011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -923 by -10.\nAnswer: 923\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115039 - 1?\nAnswer: -115040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 4. Let i be w(2). Suppose 4*l = -i*a + 126, -3*a + 2*a + 69 = -4*l. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -9.27282\nAnswer: -8.87282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/334 and 27\/10.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4206 divided by 2.\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75665.64 months in millennia?\nAnswer: 6.30547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73314800664 - -73314802721.99999159. Let j = 2058 - l. What is j rounded to 7 dps?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 10 = x. Let w be -3*((-13)\/6 + x). Let i be (-10)\/(-4) - (-3)\/6. Sort w, -4, i in ascending order.\nAnswer: -4, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25269205, 50538494, 75807783?\n\"Answer: 25269289*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.66635 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**5 + 8*h**4 + 3*h**3. Let i = 108 + -103. Let f(m) = 8*m**5 - 9*m**4 - 4*m**3. Let p(x) = i*z(x) + 4*f(x). Factor p(n).\nAnswer: -n**3*(n - 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217400 - -3?\nAnswer: -217386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 5*i**2 + i**3)*(-i - 2*i + 2*i)*(-4*i + 4 - 4)*(3 - 4 - 3) + 0*i - 3*i**5 + 0*i + (i**2 - i**2 + 2*i**2)*(0*i**3 + 2*i**3 - 4*i**3).\nAnswer: -23*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684544831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(4\/10*(14 + -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p*p**18*p)\/p))\/(p**(-1\/6)*p) assuming p is positive.\nAnswer: p**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 481 - 486. Let i be g + ((-1078)\/(-84) - (-2)\/12). Sort 3, i, -2 in ascending order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (-2*3*sqrt(700) - sqrt(700))**2 + (sqrt(700) - (-1 + sqrt(700)))**2*-1 + -4.\nAnswer: 34293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13751, 28707, 53625, 88499, 133323?\n\"Answer: -x**3 + 4987*x**2 + 2*x + 8763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l - 17, 5*l - 6 = 2*k - 35. Sort 0, 2, l in decreasing order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1823104.999994 + -1823113. Let q = -8 - x. What is q rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*w**2 - 9*w**3 + 113*w + 836*w**2 + 12*w**3 + w**3.\nAnswer: 4*w**3 + 113*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1636230, 3272463, 4908696?\n\"Answer: 1636233*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 1.2. Let g = y - -1.1. Let l = -0.1 + g. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 4. Let p be q(-7). Suppose -12 - p = -2*l. Calculate the remainder when ((-4)\/8)\/(2\/(-120)) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 23 - 1 - 22.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c - 37. Let y be 7 - (2 - 2) - 1. Suppose 0 = -v + y + 1. What is the lowest common multiple of n(-6) and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27897 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r - 19 + 22 + 2*r + (2 + 2 - 3)*(2*r - r + r) - 4*r + 3 - 3.\nAnswer: -8*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -13 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446544 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, -3\/7, -0.0109, -387, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -46. Which is the nearest to -1? (a) 1.4 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 287 = -5*x. Suppose a = 6*a - 115. What is the remainder when x is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6.71, -1\/11, 4\/9, 0, 1\/92.\nAnswer: -1\/11, 0, 1\/92, 0.3, 4\/9, 6.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16500*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 3, h: 2, i: 2}. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587925176.\nAnswer: 2, 73490647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 13 = 4*p, -2*p = 3*i + 5. Let d be -1 - (0 + (-2)\/i). Let c = -2378\/11 + 216. What is the closest to -0.1 in c, 1\/5, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 12) to base 10.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 q, and 1 r when four letters picked without replacement from rqrruxuuddddrudr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 340787851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8))**(26\/7)*(n\/n**(-7))**20 assuming n is positive.\nAnswer: n**(4493\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c3a6 (base 13) to base 6\nAnswer: -325011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1550 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 - 179. Is 59 a factor of 3795\/10 - 7\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 373.\nAnswer: 373.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*9 + (2 - 1). Let u(r) = -r - 12. Let l be u(o). Let w be (-3*2)\/((-42)\/l). Which is the nearest to 0? (a) w (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 9*p - 6. Determine w(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqnxxnqjqnqjlqnqpjp. What is prob of sequence jn?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47603 times 17.4?\nAnswer: -25.682922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006355105 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20951 and 141204?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 1507766 + 215059. List the prime factors of m.\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 15 = 0, -7*p + 27*p - 27*j = -31*j + 92 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 5, m: 14}. What is prob of sequence qrqq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15808 + 888*c + 15808 + 5*c - 2*c - 2*c + (2 - 3 - 4)*(4*c + c - 3*c) to v + l*c and give l.\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 - (-401)\/1791. Suppose -25*a + 187 = -129*a - 83*a. Is i < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4.02. Let t = 0.2 + -0.18. Let r = u - t. Sort -3, r, -1.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 1. Let k(r) = r**2 - 2*r - 3. Suppose 6*d + 6 = 18. What is d*q(l) - k(l)?\nAnswer: -3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26201)\/(-308) + 4505\/(-53).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -10\/11, -3\/2?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 60 (b) -1409 (c) -2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 - 159488*s - 1589776384 = 0 for s.\nAnswer: -19936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8292)\/(-8983)*(-104)\/6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 274809, 274878, 274947, 275016, 275085?\n\"Answer: 69*j + 274740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 2 g when four letters picked without replacement from {i: 4, v: 1, g: 2, m: 3, z: 4}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9358 divided by 24935?\nAnswer: -9358\/24935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1028\/(-300)*-10)\/(1\/10). Let q = -343 + k. Put 5, q, 0.11, -0.4 in increasing order.\nAnswer: -0.4, q, 0.11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d. Let x(j) = -83*j. What is 12*s(i) + 3*x(i)?\nAnswer: -213*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 - (-9)\/((-1260)\/104)*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -32*n - 2. Let i = 14 - 17. Let a be w(i). Let x = 205 - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.329 take away 129.6011504571?\nAnswer: -129.9301504571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11587 is divided by 1051?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(38 - 1416\/48).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (0 - (0 + 0)) - (240 + -243)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19536167 and -52085.78.\nAnswer: -52085.58463833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2628 divided by -6\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:44 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 24. Let z be f(0). Let w be (-10 + -2)*(-78)\/z. Which is smaller: w or 40?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taaa when four letters picked without replacement from ttttaattat.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/4, -3710, -2, -17 in increasing order.\nAnswer: -3710, -17, -2, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283.21 + 5.79. Let d = y + -285.26. Let w = d - 4.2. What is w rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 8*a**2 + 9*a + 10. Suppose 0 = 3*t - 2*t + 14. Let n(q) = -12*q - 43. Let j be n(-3). Let d = t - j. Give f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -17*a**7\/35 - a**6\/60 - 107*a**3\/3 - 2*a**2 - 17. Differentiate m(j) wrt j.\nAnswer: -408*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 40*t - 480, -4*t + i + 36 = -24 + 4 + 8 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/12*10*(-4)\/5. Find the third derivative of 575*g**4 - 3*g + g**5 + 31*g**2 - 575*g**d wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Let b(q) = 2*q**w + 32*q - 32*q. Let m(u) = -2*u**2. Determine m(b(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:09 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 bigger than 311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13157 + -289403\/22. Find the common denominator of -2 - (364\/80 + -1) and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2283818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -331041, -1321346, -2971855, -5282568?\n\"Answer: -330102*z**2 + z - 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -797168 or -797147?\nAnswer: -797168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45068, -45081, -45106, -45143, -45192, -45253?\n\"Answer: -6*f**2 + 5*f - 45067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-138)\/(-4)) + 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -6*(sqrt(152) - sqrt(152)*-3) - (sqrt(152) + sqrt(152)*-3*-5))\/((sqrt(1568) + sqrt(1568)*1)\/(-1*sqrt(4)*5)).\nAnswer: -45*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -b - 2*a, -342*b + 338*b + 2*a - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115224423 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1620 + -1618. Calculate the least common multiple of w and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*d - 3 + 2 + 289*d.\nAnswer: 445*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -1*6*1*(2 + sqrt(125) - sqrt(125)) + 0)**2.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -102 (b) -1 (c) -13\/5 (d) 11 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 77*l - 59*l + 91 - 91 - 31*l. Let h(o) = -6*o**2 + 5*o. Calculate i(h(d)).\nAnswer: 78*d**2 - 65*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499166140 to the nearest integer?\nAnswer: 22342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f + 16. Let m(h) = -3. Give 11*m(p) + 2*r(p).\nAnswer: 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 41*v**2 + 7. Let p be l(41). What is the hundreds digit of (p + 1)*-4*2922\/(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2 = 4*z. Suppose 1212469 = -3*i + 2*c + 15564038, -23919279 = -5*i + z*c. Let l = i + -19383855. Round l to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 685260 or 685261?\nAnswer: 685260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:56 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/24 - i**3\/3 - i**2. Let d(f) = f + 178 + 174 - 355. Determine 3*d(n) - 4*r(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-10)\/6) - -6. What is the second derivative of 3*y + 0*y**3 + 3*y**a - 6*y**3 wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let w(m) be the third derivative of -m**7\/2520 + m**4\/12 + m**2. Let z(b) be the second derivative of w(b). What is a(z(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*m - 3*w, 178*m - 176*m = 194*w - 554 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267610044 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 4, n: 3, j: 2, q: 4}. What is prob of picking 1 x and 1 j?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m**2 + 10*m + 4. Let s(f) = 3*f**2 - 3*f - 1. What is 2*j(a) + 7*s(a)?\nAnswer: 3*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 6. Let y be v(-2). What is the derivative of -6 + 4 - 13*t**4 + y*t**4 wrt t?\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 34*x = -810. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 19788120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 3770752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8\/2067, -1\/5.\nAnswer: -2, -1\/5, -8\/2067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 492\/19 in -2\/5, -5, 7, -39?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -50. Suppose -5*m = -x*o + 55, -3*m + 27 = 2*o - 0*m. What is the least common multiple of o and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -58\/15?\nAnswer: -58\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:10 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 2, n: 7}. Give prob of sequence nni.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -761*c**5 + c**4 + 16*c**2 + 167 wrt c.\nAnswer: -45660*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 - 139 = -4*g, 2*x = -3*g + 158. What are the prime factors of x?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 486046 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(sqrt(7) + 0 + 5 - sqrt(42)\/(sqrt(6)*-1))*2.\nAnswer: 150 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12044, -12047, -12050, -12053, -12056, -12059?\n\"Answer: -3*l - 12041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -y + 7546, 3*p - 22*y + 21*y - 11324 = 0. Is p a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-40)*4\/(-6) + 1. Let n = 14 - 12. Solve -n*p + 3 = -i - 0*p, 0 = r*i + p - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-31 + 5 - -16 - (2 + 0))) + 122.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*u = -25, q + u + 68 = 69 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581, -570, -521, -428, -285, -86, 175?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*160349.\nAnswer: 48104.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (35\/(7105\/6786) - 12\/28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21477534 (base 8) to base 10\nAnswer: 4620124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g - 37*g + 68*g)*(0*g**2 + 2*g**2 + 4*g**2) + 0*g**3 - 3*g**3 + 0*g**3.\nAnswer: 273*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, d: 1, j: 3, v: 6}. Give prob of picking 2 j, 1 l, and 1 v.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 80*k = -20*k + 34776. Solve 33*v + 78 = k for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.6. Suppose -x + 1 - 2 = u, -u = -2*x - 17. Let s be ((-2)\/x)\/(4\/(-9)). Sort -2\/5, s, i in ascending order.\nAnswer: s, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 3*y**2 + 12*y + 25. What is the remainder when p(-6) is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Let u = 4\/35 - 183\/70. What is the biggest value in -10, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**4 + 13933575*v**3 - 172606348 wrt v?\nAnswer: 4*v**3 + 41800725*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 15. Let l be k(5). List the prime factors of (-98)\/l + (-1)\/(-5) + 4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -3709 - -3663. Do -43 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118221*a**2 + 94764*a wrt a.\nAnswer: 236442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 1. Let t be p(1). Suppose -t*y = -8*y - 90. Let g = -12 - y. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 2*b**2 - 7*b + 1 + 28 - 7 + 5*b. Let t(w) = -w**3 - 5*w**2 + w + 1. Let g be t(-4). Is q(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 81*u**2 - 5*u - 15. Let f(m) = -715*m**2 + 44*m + 132. Let h(j) = 5*f(j) + 44*x(j). Let l(s) be the first derivative of -4*s**3 + 2. Give l(h(v)).\nAnswer: -1452*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2281479*k**2 - 82*k - 8. Let d be m(4). What is d rounded to the nearest 100000?\nAnswer: -36500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 57.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s - s - s)*(-21*s + 0*s - 50*s).\nAnswer: -1065*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3\/8)*u\/((u*u**(-2\/13))\/u))**(-46))**23)**(2\/7) assuming u is positive.\nAnswer: u**(-139127\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 10)\/(-5))\/(2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**7)\/k*k**5)\/((k**(-4)\/k)\/k**4) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 - 100 - (13 + (11 - 3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 15, 3*r - 27397 + 199309 = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*g**3*j**2 + 81*b*g**2*j - 42*g**3*j**3 + 2*g**2 - g*j**3 wrt g?\nAnswer: 12*b*j**2 - 252*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 4. Suppose -132 = -z - 5*c, 3*c = -0*z - 2*z + 257. Suppose 123*m = z*m. Give g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/37144 and -93\/32.\nAnswer: 148576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*z - 2*g - 0, 0 = 3*z - 2*g + 4. Suppose -2*j - z*j = -36. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 55 = 2*w + 4*b, 3*w = -3*b + 60. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 smaller than 3151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*x - 70*x - 9. Solve -g + 0*g = -x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 8*d. Let x(o) = 0*o + 0*o - 7*o + 42*o**2 - 44*o**2. Calculate 5*x(j) + 4*z(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - (-6 - (-6 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohlllhllbllojljl. Give prob of picking 1 o, 1 j, 1 l, and 1 b.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3 + (-72)\/(-48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/2)*g)**47\/(g*g**(-2\/13))**(-2\/85) assuming g is positive.\nAnswer: g**(51979\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1796715 and 20?\nAnswer: 7186860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 207 + 1347 = 0. Let o = 44 - g. What are the prime factors of o?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 231701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v - v - 7 - 2*v. Suppose 2*g - 2 = -2*f, -2*g + 4*g + 4*f + 6 = 0. Let u be b(g). What is the greatest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.23 + 37.77. Put -1, -14, r, 0.2 in decreasing order.\nAnswer: r, 0.2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173bd30 (base 14) to base 11.\nAnswer: 6505875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4576613*u - 9153228. Calculate o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 74058, -2, -4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/3)\/(w\/w**(-1\/3))*w**(-4)*w*w*w**(-2\/9)*(w**1)**(-24)\/(w**(5\/4)\/(w*w\/w**(-1)*w*w)) assuming w is positive.\nAnswer: w**(-905\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s - 29 = -97. Let h(y) be the first derivative of 1\/30*y**6 + 0*y**s + 8 - 4\/15*y**3 + 3\/25*y**5 + 0*y + 0*y**4. Determine r, given that h(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36526360 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b**4*b*b**(-1\/2)\/(b\/b**(1\/4)))**(-6\/11))**(-4\/31) assuming b is positive.\nAnswer: b**(582\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h + 4*j - 33, 2*j + 11 = 3*h. Suppose r = h*r - 4. Is (0 - r)*(-53 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + 0.31. Suppose -i - 1 + 7 = 2*d, 45 = -5*i + 5*d. What is the third biggest value in 0, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 10740*g + 9612300.\nAnswer: 3*(g + 1790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.5 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42343, 42340, 42335, 42328, 42319, 42308?\n\"Answer: -l**2 + 42344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86267200 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -16*q**2 - 2*q - 11. Let k(c) = -32*c**2 - 5*c - 22. Let o(n) = -2*k(n) + 5*l(n). Let p(h) = -3 + 1 - 4*h**2 + h**2. Give -4*o(w) + 22*p(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 101. Let w(g) = 28*g**2 - 2*g - 6. What is the smallest common multiple of w(h) and 7?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 7*v**2 - 9*v - 6. Suppose 2*s = -8 - 4. Let y be c(s). Suppose -y = 6*z - 30. Solve 0*r = z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (59 + 40 + -29 - (10 - 1)) + -9.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 2. What is the least common multiple of m(-4) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*v - 13 = 0, 3*x + 52 = -x + 2*v. Let p = 1264 - x. Does 85 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -217402.6\nAnswer: -4348.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2ba88 (base 16) to base 4\nAnswer: 223222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(288)\/sqrt(8))\/((-4*sqrt(132))\/sqrt(11)))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 6\/578606993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let g be -6*o*(-2)\/(-8). Factor 2*l**3 + 228 + 16*l**4 - 228 + 140*l**5 - 18*l**g.\nAnswer: 4*l**3*(5*l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7290581530 and 2461?\nAnswer: 7290579069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r**3 - 20*r**3 + 0*r**3 + 5*r**3.\nAnswer: -43*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.3 and 222?\nAnswer: -3618.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -452307.\nAnswer: 1\/150769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**3 - 975*i**2 - 2198*i - 880. Give g(-137).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = k - 10, -2*k + 3 = q. Suppose -5*t = -10, q*t - t = m + 2. What is the remainder when 9 is divided by (-3)\/m - 9\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -379910124, -759820249, -1139730374, -1519640499, -1899550624?\n\"Answer: -379910125*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 638044549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -606.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + -49 + -5 + 42 + -46.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*12813.\nAnswer: 51252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 1. Let h be q(4). Suppose h = -4*n - 1. Let o(z) = 2*z - 4. Let g(c) = -c + 1. Suppose 3*s = 2*s - 3. What is n*o(t) + s*g(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (12 - (-6 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 19*s**2 + 382*s - 361. Let r be j(-10). Factor -7\/9*o - 4\/9*o**r - 1\/3.\nAnswer: -(o + 1)*(4*o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15018)\/(-2503))\/((-11)\/(660\/8))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqyw when four letters picked without replacement from wywyqwqyw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*90\/(-135)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(5\/(-60)). Let w be 1\/((-15)\/m)*15. Let x be w\/(4\/8*-4). Solve -1 = i - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120280 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/106 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(189\/750) + (-2)\/9. Let o = -25 - q. Suppose -5*t = -18 + o. Solve -8 = t*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -11 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 15) in base 8?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3232 (base 4) to base 3\nAnswer: -22211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4795903 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(33))\/sqrt(432))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.722209 rounded to three decimal places?\nAnswer: -9.722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 12. Let w = c + 4. Solve w*a + 2*a + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/10 and -57\/14906?\nAnswer: 74530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 104*b**5\/5 + 6334*b**4\/5 + 99772*b**3\/5 + 353096*b**2\/5 + 51984*b\/5 = 0.\nAnswer: -38, -18, -19\/4, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-3) - 1) + 6. Suppose -5*v - g + 15 = 0. Let o = v - -4. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**2 + 91*r + 9. What is a(11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 6:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3*l + 0*l)*(-3*l**2 - 15*l**3 + 3*l**2) - 49*l**4 + 60*l**4 - 429*l**4 to the form y*l + f + q*l**4 + z*l**3 + n*l**2 and give q.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 - 4*z - 1. Let p be v(3). Let i(u) = -32629*u**3 - 2*u - 1. Let h be i(-1). Suppose -h = 4*m - p*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43115885 by 43.\nAnswer: 1002695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128, 276, 438, 614?\n\"Answer: 7*t**2 + 127*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-602)\/1677))\/((3\/(-3))\/(2\/(-1)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206\/65 + 216\/65. Let n be ((-6)\/5)\/((-4)\/10). Which is the third biggest value? (a) -4\/3 (b) -2 (c) q (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 25*s**2 - 23*s - 246. What is the hundreds digit of q(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 3 - 4 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 288098.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 6, -2\/101, -2\/5, -2\/9, 0.3, -21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 397973 times 26\nAnswer: 10347298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8330 and 1960.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1590137916 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -58. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 28. Calculate the remainder when v is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40127356 and -0.03.\nAnswer: -1203820.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162606, 324952, 487298, 649644, 811990?\n\"Answer: 162346*b + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 > -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2\/2 - 2*p + 1. Let s(h) = 5*h - 9. Let q(x) = -x**2 - 3*x - 4. Let j be q(-2). Determine j*s(c) + 9*a(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/35 (b) 1 (c) -0.1 (d) 4\/5 (e) 0.2 (f) -1\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 34 - (-31374)\/(-1743). Suppose -q + 52 + 96 = -2*h, 2*h + 604 = 4*q. Calculate the highest common factor of q and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2736046 in -0.1, 0.5, -1\/2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-8 - (-1 + (3 - -1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*f**4 + 212?\nAnswer: 328*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265627\/4 or 66407?\nAnswer: 66407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 4 - ((30 - 7) + 26).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 2*g**2 - 28*g - 4*g**2 + g**2.\nAnswer: -5*g**2 - 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(72) + 2 + -2)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 5*j - 224. Calculate the remainder when j is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171642 + 3*z**2 + 85760 + 85788.\nAnswer: 3*z**2 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 m when three letters picked without replacement from mmiayhl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 7*i - 6. Let w be s(-4). Suppose 0*a + 18 = 2*a. What is the remainder when (-1 - -1)\/(-1) - w is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17297112 by 411836.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -23*q - 3. Let w be o(-1). Let v be ((-15)\/w)\/(2\/(-104)). What is the greatest common factor of v and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**5\/5 + 38*p**4\/5 - 34*p**2 - 64*p\/5 + 72\/5 = 0.\nAnswer: -9, -2, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*b = 8, 0 = 5*t - 3*t + 4*b + 12. Let j(f) = f**2 + 2*f - 3. Give j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - 1092\/(-336). Factor 11\/4*g**2 + 1 + l*g + 5\/8*g**3.\nAnswer: (g + 2)**2*(5*g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18735 or 0.1?\nAnswer: 18735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*g**4 + 15*g**4 + g**4)*(3*g + 0*g - g)*(1 + 1 - 5).\nAnswer: 54*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17)\/6 - 9\/(-36) and 99\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13760802, -13760804, -13760806, -13760808?\n\"Answer: -2*t - 13760800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 4, 13 in increasing order.\nAnswer: -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 30 = x. Suppose x = j + j. Differentiate -2*h + j*h + h + 1 - 4 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*c - 5*r + 206 = 72*c, c = -4*r + 57. What is the highest common divisor of c and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 4:18 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 62 * 116339\nAnswer: 7213018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46688 and 13462193.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382974 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45 (b) 3 (c) 909\/400 (d) 2 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = 17. What is the greatest common factor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 0*n + 5\/3*n**3 + 2*n**2 + 6. What is the second derivative of c(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(47*q - 147*q + 51*q)*(3*q - 5*q - 2*q).\nAnswer: -392*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8785?\nAnswer: 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 20*r**2 - 24 - 21 + 18*r + 34. What are the prime factors of x(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 4 = 2*y, -5*h + 2*y = -4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7077569mm in centimeters?\nAnswer: 0.07077569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-8)\/(-8))\/(-1)*(17 - -2). Calculate the greatest common divisor of 1539 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17273674 - 4173674. What is v rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 4 - g + g - g. Let d be y(6). Suppose 4*m - 2*o - 273 = o, 0 = -2*m + 2*o + d. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 269*t**2 - 6. Let l(n) = n**2. Calculate l(u(y)).\nAnswer: 72361*y**4 - 3228*y**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/280*10\/(-4))\/(9\/2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2283, -4, 0.014?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10575 is divided by 103.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21581*s - 41 + 48 - 21546*s + 43082*s.\nAnswer: -45*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:07 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -41176 bigger than -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.06 + 7. Let h be -2 + 30\/5 + (-101)\/24. Let w = -1\/24 - h. Which is the nearest to -1\/3? (a) y (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 3*t**3 - t**2 - 1 + 8*t**2 - t**2 as m*t**3 + j + x*t + u*t**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + 156)\/(-1*(-2)\/2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 46*r**3 - 9*r**2 + 23*r. Let z(s) = 24*s**3 - 5*s**2 + 12*s. What is 6*w(m) - 11*z(m)?\nAnswer: 12*m**3 + m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:57 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14178049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-4\/7))\/w*w**1\/w)\/(w**7*w**1\/w*w*w) assuming w is positive.\nAnswer: w**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from jjdej?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 9*h. Let v be 0*(h - 1) - 5. Let o = 6 - 8. Put v, 0, o in increasing order.\nAnswer: v, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b + 2. Let z be r(13). Let g = -67 - z. What is the second derivative of -21*v - 4*v**3 - 13*v**3 + g*v**3 wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -460 - -517. Suppose 0 = -6*k + 123 + l. What is the remainder when 327 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1238625, -2477296, -3715967, -4954638?\nAnswer: -6193309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fogo when four letters picked without replacement from {f: 4, g: 2, o: 2, d: 5}.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12892.2 + 43472.\nAnswer: 56364.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 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: Suppose 4*t - 2*t = -4*n + 6, -2*n + 5 = 3*t. Suppose 4*c - 9 = -t. What are the prime factors of 5\/c*(-56)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 49*i + 3842\/3.\nAnswer: (i - 113)*(i - 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 15*r + 138. Let p(a) = 5*a**2 - 20*a + 139. Calculate 3*p(g) - 4*s(g).\nAnswer: -g**2 - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 3*v + v - 2*v. Let i(x) = 5*x - 4. Let y(p) = 3*i(p) + 12*w(p). What is the units digit of y(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 - (-5 - (4 + (-8 - -1)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w. Let g(k) = -7*k. Let p(y) = -2*g(y) - 5*s(y). Let m(j) = 0 - 3 + 3 - j. Give p(m(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -15) + -6 + -4 + 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*z - 4, z - 1 = -4. Suppose 3*q + 4*j = -1, -w*j = -q - 2*j - 22. Let a(p) = p**2 - 11*p + 7. Let n be a(10). Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 60 = -8*z. Let r be (-48)\/45 + 4\/z. Which is the second smallest value? (a) 0.5 (b) 1\/13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - l - 23*l + l to n*l + b and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 0.09. Suppose -i + 7 = -2*q, -i + 5*q + 15 = i. Let r be 1\/(-2) - i\/(-6). Which is the closest to -1? (a) -5 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89*50.\nAnswer: 4450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00225435 rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7392\/(-3168)*24\/(-7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-21) + (0 - -10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 31. What is the second smallest value in s, -0.4, 3, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 divided by 6?\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1 (c) -1\/3 (d) 33.22 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-17) + 9885\/(-510) + 21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-9 + -6 + 20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 1, l: 5, o: 3, s: 1}. Give prob of picking 3 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 23*c + 9*c**2 - 17*c - 10*c**2 + 26. Let f be a(-3). What is the biggest value in -3, f, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 smaller than 2246\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11291076 by -2.\nAnswer: -5645538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3974\/37369 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + (-4792)\/(-14) + 48\/(-168).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v - 114 = -194*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3 + 5*v. Let h(j) = 2*j**2. Determine s(h(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 8*q**5 + q**4\/4 + 297*q**2\/2 + 2063*q. Find the third derivative of p(b) wrt b.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 2. Suppose 2*a = -r*g + 7*a - 9, -g + 18 = 5*a. Suppose -134 = -5*b - v, 3*b + 2*b = -g*v + 142. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 165*n - 129. Let m be z(54). Calculate the greatest common divisor of m and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 21. Let f(y) = -14*y**2 - 18. Let j(c) = 76*c**2 + 100. Let t(n) = -28*f(n) - 5*j(n). Calculate t(u(m)).\nAnswer: 48*m**2 - 1008*m + 5296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.018 + 0.018. Let x = 174 + -190.9. Let m = j - x. What is m rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 29*k + 3. Let d be r(0). Factor 111*q**3 + 8*q - 21*q**2 + 7*q**2 + 67*q**3 - 62*q**2 - 22*q**d.\nAnswer: 4*q*(3*q - 1)*(13*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 1. Let w be x(2). Suppose -5*m + 43 = w*j - 4*m, -2*j - 2*m + 30 = 0. Let f(k) = -k**2 - 12*k + 3. Let z be f(-6). Solve 5*s + z = j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 2*t**2 - 1. Suppose -2*w + 4*w = -3*m - 1, 0 = -m - w. Let j be k(m). Is (j\/2)\/(2\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 9*p = -2*d + 4, 0 = -6*p + 3*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 32*b + 32*b - 1.\nAnswer: 51*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-20) - 11\/(-5). Suppose -10 = -2*z + 2*d, 0 = 3*z + d + 1 + 4. Suppose 0 = -a*x - z*x. Solve x = 3*g - g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 7, x: 1, o: 1, h: 5}. What is prob of sequence uox?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1800) + -4 - (sqrt(1800) - -4*sqrt(1800)*-3))**2.\nAnswer: -4320*sqrt(2) + 259236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4243 - 4234. Calculate the highest common divisor of c and 3744.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/156623 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*1\/(-1))\/((-144)\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/440443?\nAnswer: 4\/440443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -64. Let y = 13 - 6. Suppose 2*j = y*j. Solve n + j = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let i(w) = w**3 + 9*w**2 + 7*w - 3. Let p be i(-8). Let x = r + p. Solve -x*q - 1 = 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.58 + -94.9. Let k = 0.81 - -18.19. Let o = k + z. What is o rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let n(q) = 8*q**2 - 2. Let k be n(y). Suppose 0*c = -5*c + k. 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: b\"What is the xth term of -65042768, -65042768, -65042766, -65042762, -65042756, -65042748, -65042738?\n\"Answer: x**2 - 3*x - 65042766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let t = 15 + 3. Suppose 0 + t = 6*m. Solve -m*f + 9 = -x, -3*x = -2*x - f + o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3530838562 to the nearest integer?\nAnswer: 59421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239*g**2 - 2*g**4 + 85237*g**5 - 84724*g**5 - 110*g**2 wrt g?\nAnswer: 30780*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42064291 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 10, -4\/5, -23, -64, -5, -0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-36)\/(-8))\/9. Let x = 13 + -8. Suppose p*d = -x*d. Solve d = b - 5*t + 8, -3*b = -t - 3*t + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a microgram in nanograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39 - 11 - (-20 - -46). Factor -27\/7 - 90\/7*w - 75\/7*w**a.\nAnswer: -3*(5*w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 - -96. Let s = c - -34.9. What is s rounded to 1 dp?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Sort -5, m, -45 in increasing order.\nAnswer: -45, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -5*d + 998. Let m be (2 + -1)\/(((-20)\/d)\/5). Let u = 127 + m. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a factor of 1881017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.9+0.68\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 14, 7, -2, -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*a + 13*a + 47*a - 2922 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -17790*g**2. Let u(x) = -3*x**2. Give i(u(t)).\nAnswer: -160110*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.6 - -37.6. Which is greater: w or -12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -215 - 49. Let p be ((1 - 4) + 2)*-2. Suppose p*k = 5*k - o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 31*i**2 + 113*i + 141. Give h(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*z**2 + 70*z**2 - 347*z**3 + 232*z**2 - z wrt z.\nAnswer: -2082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.3. Let b = -57.2 - 3.8. Let a = b - -57. Put w, a, -3 in increasing order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171504 (base 10) to base 9\nAnswer: -281230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o + 2. Suppose -8 = a - 5*a. Let m(x) = 2*x - 1. Let u(h) = a*d(h) + 5*m(h). Is u(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 482685175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.9958.\nAnswer: -0.39832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 6*y + 10. Let f be ((1 + 4)\/(-5))\/((-11)\/77). Determine u(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5211*b - 13609. Is l(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100\/3*9\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 8*y + 2 = -5*k, k = -3*y + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49419 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(-3 - -2). Let u = -4 - -7. Let d be u\/(-5) - (-12)\/20. Do d and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5*h + 0*h)*(1179*h + 436*h - 97*h).\nAnswer: 3036*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(5 + 1*(sqrt(605)*3 - sqrt(605)) + (-6*(sqrt(605) - (sqrt(605)*-2 - sqrt(605))))**2)*-3.\nAnswer: 264*sqrt(5) + 4181818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxxxlxxxl. What is prob of picking 2 l and 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2158.869\nAnswer: 2155.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 722.462ml?\nAnswer: 0.722462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h**2 + h + 1. Let n be b(3). Suppose 4*y = j - 306, -j + 5*y + 321 = n*y. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1767 - -3364. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 + -3) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(8\/5))\/(g\/(g**(1\/22)\/g))*(g\/g**(4\/33))\/g**(7\/5))**(-26\/7) assuming g is positive.\nAnswer: g**(377\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/2 of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25456140 by 166380.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 8 = 110*k - 117*k, 32 = -3*k + 5*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110 - -1?\nAnswer: -12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 253959557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1267*x + 44 - 12187*x - 87 + 43.\nAnswer: -10920*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 divided by 90?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1 - 1 + m - 3 - 2*m. Suppose -7*f + 33 - 12 = 0. What is y(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 11\/4 (c) 0.067 (d) -200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/754)\/((-27)\/4914*42))\/((-2)\/12).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 57*h**2 - 6*h + 11. Let a(q) = -q**3 - 29*q**2 - 3*q + 5. Give -9*a(k) + 4*t(k).\nAnswer: k**3 + 33*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**4\/4 + 5*j**3\/3 - j**2 + 17*j - 385. Give y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + 5.5. What is the second smallest value in 5, 1, b, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7880?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -90. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4356*q**2 + 82 + 71 + 74 - 227.\nAnswer: 4356*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -4362890 (base 11) to base 8\nAnswer: -35162654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5807, 5871, 5913, 5939, 5955, 5967, 5981?\nAnswer: 6003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, z: 4, w: 2, q: 6}. Give prob of sequence zxww.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128476 + 596019. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178949181 divided by 71\nAnswer: 2520411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let f(w) = -7 - 37*w + 7 + 0*w. Calculate f(r(c)).\nAnswer: 37*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 7*f**2 - 5*f + 8. Let i be w(-6). Let d(s) = -s**2 - 7*s. Let j be d(-7). Suppose j = -4*y + 2*y. Solve -i*x - 2*x + 16 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262106 divided by 221\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-22))\/((-1208)\/(-6644))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611968.\nAnswer: 2, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435790870?\nAnswer: 2, 3, 5, 27064343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(-224)*(-8)\/6. Let o = -1\/21 - s. Let v = -2 - -1. Which is the third smallest value? (a) v (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 0*f)*(5*f + 771 - 320 - 373).\nAnswer: 5*f**2 + 78*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f + f. Suppose 5*n - 4*d = -1, 2*d - 5*d = 5*n - 27. Find the second derivative of f*g**3 + n*g - g**3 - 3*g**3 + 2*g**5 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 310 = -6*i + i, 3*i - 775 = -5*t. Let u = t - 82. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*k - 4*k = 97, 0 = -5*s + 3*k + 98. Suppose 0 = 16*n - s*n. Which is the nearest to -5? (a) 0.3 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f**2 + 12*f**2 - 4*f**2. Let x(i) = -4*i. Determine x(w(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 11*r**2 + 5*r**3 + r**3 - 46*r**2 - 4*r**3.\nAnswer: 2*r**3 - 58*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 501. Is v(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:11 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1235815902?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7096 and 65184.\nAnswer: 57818208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + 15. Let k = -3.662 + -81.332. Let t = r + k. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26539350 divided by 6.\nAnswer: 4423225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.02 + 19. Let a = -152901\/64 - -2389. Let f = 119\/704 + a. What is the nearest to f in n, -2\/5, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -60\/7, 2\/331, 0.3 in ascending order.\nAnswer: -60\/7, 0, 2\/331, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -406.7266 - -2212515.7266. Let c = -2212342.9621 + s. Let f = 234 + c. What is f rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -7*w + 4*w. Let g be w\/(-45)*6\/(-2). What is the closest to g in -0.2, 0.07, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3879*k**4 + 30575*k**3 + 744086641*k**2?\nAnswer: -93096*k + 183450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464 - -469. Solve a - d*j = 3*a - 17, 11 = a + 3*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011001111110101000 (base 2) to base 15.\nAnswer: -28537b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2036106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x - 2*x**3 + 3*x**3 + 7*x + 2*x**3. Let b be (376\/(-8) - (6 + -3))\/(-1). Let s = b + -55. Let r(j) = -4*j**3 + 7*j. Determine s*a(h) - 4*r(h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -23*k**2 + 3*k - 3. Let z = 15572 - 15574. Determine v(z).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 34 = -2*x, -49255*x = -49252*x + v - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6743 + 6740. Put 10.4, v, -0.5, 0.1, 2\/15 in descending order.\nAnswer: 10.4, 2\/15, 0.1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/24)\/((-4)\/(-2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(2 + -2*sqrt(1216)*2))**2 + 1.\nAnswer: -1050839 + 6912*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4220 (base 5) in base 12?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2341042 + -3?\nAnswer: 2341034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 383*w + 236. Let k(h) = 96*h + 59. Let d(i) = 9*k(i) - 2*n(i). Suppose -17*b + 83 = -36. Is d(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008686 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (1 - (3 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = w + 2*w, 3*w = 0. Let f = v - 1. Suppose 0*p + 0*p**f + 1\/2*p**4 + 0*p**2 + 0 = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 722*m. Let q(l) = -4*l. Calculate q(p(z)).\nAnswer: -2888*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*i + 2982*i = 23931 - 5396 + 70965 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 8*o + 63. Calculate the remainder when 76 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2755 + 2766. What is the remainder when 195 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 - 17693?\nAnswer: -17695.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5.6267+-302584.5783\nAnswer: -302578.9516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 28*x**2 - 40*x + 924. Give w(13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -14. Let p be 548\/(-8) + n\/(-4). Let g = -27 - p. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 16 - z**2 + 3*z + 3*z**3 - 13. What is the remainder when i(-3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 314 from 0.34.\nAnswer: -313.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476119802.\nAnswer: 2, 238059901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26997 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187071451?\nAnswer: 7, 17, 1572029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 107568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*r - 2, -5*g + 10*r = 5*r. Suppose 8*n - 60 + 36 = 0. Calculate the smallest common multiple of n and (1 - g) + 6*2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 14.0271?\nAnswer: 13.8271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1748648 by -8.\nAnswer: -218581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3956.9 + -3956.7. Let y = -1.9 + -0.1. What is the fourth biggest value in 1\/10, y, j, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 120446, 242149, 363864, 485597, 607354, 729141, 850964, 972829?\n\"Answer: f**3 + 121696*f - 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 9:37 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a - 38. Determine y(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461990 is divided by 462.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6365177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(5445\/(-132)))\/(2\/(-27))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkklklllllllllelllll. Give prob of picking 1 l and 1 k.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 337? (a) -8 (b) -4 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38754164 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 5794 = -19264. What is u rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1040.7 + 1041. Let f = 72 + -77.8. Let s = 6 + f. Which is the biggest value? (a) 1 (b) s (c) -1\/9 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915 divided by 383?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 809094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/8 - 679*a**3\/4 - 95937*a**2\/2 + 18180203*a + 7706163580 = 0. Calculate a.\nAnswer: -566, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 79 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.4 + -17. Let d = r - -8.600067. What is d rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133\/1078 + ((-27132)\/418 - -65)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*277389\/162 + (-2)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7.5. Let m = -5.11 - -0.11. Let k = m - -10. Which is the closest to -2\/5? (a) k (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sesrjssszzszssszr. What is prob of sequence es?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-168) + (-1 - (-32)\/70)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = 0. Let g = f + -1. Let k be (g*8)\/(-2 - 0). Solve 4*c - k - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6395, -6401, -6419, -6455, -6515, -6605, -6731?\nAnswer: -6899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.2 (b) 25 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -13\/2, 8, 0.1, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*r**3 - 75339624*r**2 - 200905856*r - 133937280.\nAnswer: 4*(r - 2092770)*(3*r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1098\/4487 and 62 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(84\/(-244)) - (-16)\/(-56). Let x be (-6)\/36*v - 3. Are 0 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(4\/5)*t)*(t*t*t**(-2\/9)*t)\/t)\/((t*t\/(t*t\/t**(-1)))\/t**(-2\/3)) assuming t is positive.\nAnswer: t**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:21 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Let d(i) be the third derivative of 0*i + 1\/12*i**4 + 0 + 0*i**3 - 5*i**2. Determine n(d(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25831351 is divided by 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2. Let g(n) = 14 + 3*n - 9 - 5. Calculate m(g(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6776893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*y - 2*p + 7148 = 202*y, -4*y = -5*p - 5692. What is the highest common divisor of y and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*46\/69*(-216)\/39?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 620920*u + 310446*u + 0*u**3 + 310474*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/1 - 1) + -1. Let s(t) = 6*t - 13. Calculate the remainder when s(v) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.5 (c) -2\/7 (d) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -290.528 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.5 (c) 317\/2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + 1. Calculate the remainder when (-1)\/3 + 2130\/18 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.64 + -7.64. What is the third smallest value in -0.4, -0.14, w?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((((l\/(l**(-16)\/l))\/l)\/l*l)\/l*l)\/l)**(-1\/38)*((l\/(l*l*l*l**(-27)*l))\/l)**(-39) assuming l is positive.\nAnswer: l**(-34103\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 13*y**2 - 4*y - 8. Let d(n) = n**3 - 19*n**2 + 6*n + 12. Let c(v) = 5*d(v) + 7*t(v). Find w, given that c(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3695127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - c**2 + c - 1. Let u(q) = 18*q**3 + 16*q**2 - 6*q + 4. Determine 8*g(b) + u(b).\nAnswer: 2*b**3 + 8*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733850 (base 9) to base 8.\nAnswer: -1523302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytf when three letters picked without replacement from zdzytdjyzfytytjjztyj.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) 1\/11 (c) -1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 r when three letters picked without replacement from rrrkrrrllrrmlmrlrmt?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212\/273 + 10\/91. Which is the nearest to o? (a) -4 (b) 4\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 7259.\nAnswer: 14518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -15\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(63*n**5 + 49*n**5 + 5*n**5) + (-2*n**4 + 6*n**4 - 5*n**4)*(2*n + 0*n + 0*n) + 5*n**5 + 2*n**5 - n**5.\nAnswer: 121*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6*q**2 + 520*o**3*q**2 + 51*o**2*q**2 - 3*o**2 wrt o?\nAnswer: -240*o**3*q**2 + 3120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (-4 - -5 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1, 5, -13, 15 in ascending order.\nAnswer: -13, -3, -1, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5875548 and 21357?\nAnswer: 52879932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:39 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -19\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65724 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/5 - 2449*h\/5 + 6746112\/5 = 0. Calculate h.\nAnswer: -4096, 1647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-1035)\/30)*(-36)\/14?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Suppose -2*g = -3*g + 5. Let i(d) = 4*d - g*d + 2*d - 6*d. Determine q(i(f)).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38a5 - a?\nAnswer: -38b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/57132768 and 131\/210?\nAnswer: 285663840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 86 times -3692\nAnswer: -317512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5))\/(k*k\/k**(-3))*k*(k**(-2)*k*k)\/k*k**(1\/7))**(14\/11) assuming k is positive.\nAnswer: k**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 50. What is s(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - 24\/18. Is 0 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -91 - 1a?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -244, -457, -658, -841, -1000, -1129, -1222?\n\"Answer: x**3 - 220*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.029 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/9 - 7469368*p\/3 - 3486966144964.\nAnswer: -4*(p + 2801013)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74\/185 + 1*46\/10. Let k(z) = -21*z + 69. Let u be k(t). Which is greater: -31 or u?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1490 = -3*p. Suppose u - 139 = p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, 229, 1736, 4643, 9412?\nAnswer: 16505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*j + 456 = -3012. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 14 = 2*r, 2*r - 4*o - 19 = -r. Let y = 3 + r. Solve -y*c - 25 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20256 from -0.3.\nAnswer: -20256.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*o*w - g**2*w**4 - 36*g**2*w + 30*g*o*w**3 + 4*w**2 wrt w.\nAnswer: -12*g**2*w**2 + 180*g*o*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-18))\/(11\/99). What is the biggest value in 5, -62, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -131*r + 128*r. Let l be (-2)\/(-2)*(r + 21). Solve -8*b + l*b = -9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19249 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8)*2)\/((-677498)\/(-116)). Let t = -852693\/233620 - n. What is the common denominator of t and 35\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2767 + -2753. Calculate the remainder when 1812 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 + -118. Let l = -77 + j. Let u = 181 - 115. Calculate the remainder when u is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Let y be a(0). Let r be 24\/36 - 10\/(-3). Suppose -2*s - 2 = r*u, u + 6 = -3*s + 3. Sort y, u, -3 in decreasing order.\nAnswer: y, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 955*c**3 + 1146965*c**2 + 1158010*c + 12000 = 0.\nAnswer: -1200, -1, -2\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6*(-45)\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101100110 - 11000100?\nAnswer: -10110000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 - 3*f + 2. Let v(n) = n**2 - 11*n + 2. Let c be v(11). What is the least common multiple of 14 and m(c)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5085*n + 494*n + 7274*n + 13540*n**2 wrt n?\nAnswer: 27080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 271, 1933, 6413, 15115, 29443, 50801, 80593?\n\"Answer: 234*q**3 + 5*q**2 + 9*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from czcnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4109*c**2*m**3 + 5*c**2*m**2 - 2*c*m**2 + 4*c*m - 44*c + m**3 wrt c?\nAnswer: 8218*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 20559*l**2 - 3*l**4 + 228 - 20560*l**2 + 2*l**4 to the form k*l**2 + o*l**4 + x*l**3 + h*l + f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**2 + 38*z**2 - 32*z**2)*(z**2 - z**2 + z**2) + (2*z**3 - 4*z**3 - z**3)*(-2*z + 0*z + 5*z).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628 or -629?\nAnswer: -629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*s. Suppose h - 5*h = 2*r, s*r = 4*h - 16. Suppose -h*d - 1 + 29 = 0. What is the remainder when 26 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {o: 1, n: 9, z: 2, c: 8}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*y**2 + 49*y**2 + 17*y**2 - y**3.\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000779 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538545 is divided by 1048.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393 is divided by 212.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346878.\nAnswer: 2, 1173439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 5*p**2 + 4*p**2 + 3*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304 - 5*d + d + 606 - 302 - 2*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((o - 5*o - o)*(-5*o + 3*o + 5*o) + 2 - 2 + o**2 - 8*o + 8*o - 3*o**2)*(-2 - 2 + 2)*(0 + 1 + 0) in the form r*o + f*o**2 + s and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15873 or 15227?\nAnswer: 15227","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 at least 4\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*s - f - 319, 0 = -3*s + 4*f + 289. Let p be (-7436)\/(-130) - (-2)\/(-10). What is the greatest common factor of p and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 3*u**2 + u - 3. Let s(o) = 239*o**3 - 10*o**2 + 2*o**2 - 8 + 296*o**3 + 3*o - 522*o**3. What is 3*s(j) - 8*x(j)?\nAnswer: 7*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 367, -109, -0.5, -5, -0.236?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 4*f + 0*f + (6 - 3 - 1)*(5*f - 4*f + 0*f) + (0 + 0 - 3)*(-5 + 4*f + 5).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*l**4 - 3*l**3 + 4955*l - 197864573 wrt l?\nAnswer: 112*l**3 - 9*l**2 + 4955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(12\/1848*14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 80405?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q + d - 149, 2*q - 108 = -5*d. Let k = 18 + q. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 5*u**2 + 3*u. Let f be i(-4). Let j be 6\/(-3) + 1 + 25. Let r = j + -21. Solve -f + 1 = -r*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 18228?\nAnswer: 36456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from iyiyyiyiyyyyyyyiyi.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296.166ml in litres?\nAnswer: 4.296166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465841?\nAnswer: 465841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 1, c: 18}. Give prob of picking 2 c and 1 k.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 6:28 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01969613 rounded to four decimal places?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4036 - 4036 - 20*p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454908 divided by 6?\nAnswer: -575818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) - 76344\/36. Let m = 58888\/5 + -9667. Let o = c + m. What is the common denominator of 18\/7 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d)*(-2 - 3 + 3) - 3 + 2*d - 2 - 32.\nAnswer: 6*d - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1097 times -2?\nAnswer: 12.2194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272312 is divided by 1735.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 2 - 120\/(-24))*(-6 + 5). Put -5, d, 281, -1 in ascending order.\nAnswer: -5, d, -1, 281","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 14*i**2 - 2 + 5 + 64*i**2 - 4. Is c(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 149507 and 365209060?\nAnswer: 365059553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 - 854*a**3*j - a*j - 195*j wrt a.\nAnswer: 40*a**3 - 5124*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.5 from -905100681383.\nAnswer: -905100681378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 442 = 450. Let i(x) be the second derivative of x**3\/6 - 7*x**2\/2 - x. What is i(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37629171521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12516 and 24\/7301.\nAnswer: 87612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10048592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 406*l**2 + 12*l**5 + 5516*l**6 + 5511*l**6 + 3*l**3 - 16535*l**6 + 5512*l**6 wrt l.\nAnswer: 480*l**3 + 720*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 20*u**4 + 13245*u**3 + 1436730*u**2 + 1778555*u + 355050 = 0.\nAnswer: -526, -135, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2287731\/14 - 1143862\/7. Solve 104 - q*i**3 - 60*i + 21\/2*i**2 = 0 for i.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -292 - 5?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -y + 33, 2*w = 2*y - 0*w - 58. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k**2. Let i(o) = 33*o. What is g(i(m))?\nAnswer: 22869*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(35) + sqrt(35) + (sqrt(35) - (sqrt(35) + sqrt(140)\/sqrt(4)*-5)))\/sqrt(5))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4420 and 16380.\nAnswer: 278460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -9. Let p be ((-2)\/6)\/(a\/66). Solve p*g = -2*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -65, -99, -133, -167, -201?\n\"Answer: -34*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -8 + (-79 - -126)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (640\/26048*37)\/(8\/22). Let y be 3\/(-12) - (-6)\/56. Sort 0.3, v, 2\/7, y in decreasing order.\nAnswer: v, 0.3, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21138 + -9511. List the prime factors of k.\nAnswer: 7, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -5*(-5 + sqrt(500) + 1)**2).\nAnswer: -1200*sqrt(5) + 7743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o**2 + 12 + 10*o - 9*o + o**3. Suppose 4*y = 108 + 24. What is the remainder when y is divided by c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2 - 2 + 0 + 0 + 2*w + 1 - 1 + w + (-3*w - w + 2*w)*(1 - 3 + 3) + w - 4*w + 2*w)*(58*w - 4*w**2 - 58*w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/15 + 16*h**3\/15 + 4*h**2\/5 - 16*h\/3 + 10\/3.\nAnswer: 2*(h - 1)**2*(h + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 303 and 404?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from eeppppneeeensn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.13 - -0.13. Let v = n - -13. Let q(a) = 5*a**3 - 2*a**2 + a. Let w be q(1). Sort v, w, -1 in increasing order.\nAnswer: -1, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*s + 21*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 11 = 2*p, -4*p + 4 = 7*v + 10 + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010000010000010 + 1000110?\nAnswer: 1101010000011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219017*f**4 - 5*f**2 + 219027*f**4 + 3 - 2*f**2 to n*f + t + r*f**2 + g*f**4 + h*f**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/119 + 25\/17. Suppose -b = 3 - 7. Let 2\/7*r**5 + 20\/7*r**3 - 20\/7*r**2 + 10\/7*r - v*r**b - 2\/7 = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36121\/194656 + 1\/1106. Calculate the common denominator of 127\/6 and x.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1360 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -50. Suppose 8 = -o + 2*r, 5*o + 2*r - k = 2*o. Factor 7\/3*x - 2*x**o - 1\/3.\nAnswer: -(x - 1)*(6*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4506, -17131, -37880, -66747, -103726, -148811, -201996, -263275?\n\"Answer: g**3 - 4068*g**2 - 428*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -49. Let t = 16 - 22. Let c = 4 + t. What is the smallest value in u, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20220 (base 4) to base 13\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9946 in 3\/79, 5, 0.09?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422311 + 1?\nAnswer: -422310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from aemeccicaciaeiiye.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -0*w + 6*w. Suppose 6*m - 9*m + 4*k = -1868, -8*m + 4*k = -4988. Calculate the highest common divisor of w and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2*i - 1. Let g(t) = -21*t**2 + 10*t + 1. Let o(k) = -2*g(k) - 2*j(k). Let m(q) = -13*q**2 + 5*q. Give -16*m(b) - 5*o(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169898 by 4997.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37228\/10521 + -20\/1169. What is the second smallest value in 1\/5, 1\/2, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = -166*h + 1127. Solve h*a - 9 - 21 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.235 times 3\nAnswer: -0.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*w**2 + 0 + 467*w**2 - 1 - 1061*w**2 + 1.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/40, -0.2, -3, -1?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 278218 take away 1176340?\nAnswer: -898122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 - 12 = 0. Suppose 4 = 3*z - 2*r - 9, 0 = 3*z - s*r - 12. Suppose -3*f + 22 = p + 2*f, -2*f + 18 = z*p. Sort -3, 0.3, p.\nAnswer: -3, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -177*v**3 - 2*v**2 - 2*v + 1. Let q be y(-1). Let f = 180 - q. What is the greatest common factor of f and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/11 + 17760*w\/11 - 124222\/11 = 0 for w.\nAnswer: 7, 8873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -6\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -7 + -8 + 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0*z**2 - z**2 + 2*z**2 + 0*z**2 to the form d + c*z**2 + t*z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 105329.\nAnswer: -105329.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*b - 45*b - 1590 + 150 = 0. What is the highest common factor of 4572 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1.57.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0 + 0*f + 1\/12*f**4 + 4*f**2 - 5\/3*f**3. What are the prime factors of k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 2*q**3 - q**2)*(0 + 5 - 4) + q**3 + 2*q**3 - q**3 + 49*q - 2*q**3 + 56*q - 108*q to the form y*q**3 + b*q + j + z*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 67*k + 208. What is f(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 152087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -5, 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 11*u**8\/112 + 9*u**7\/70 - u**6\/20 + 10*u**2. Suppose w(c) = 0. What is c?\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52884316 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*h = 395*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1331*b**5 + 261602*b**4 - 16962275*b**3 + 351113672*b**2 + 754167232*b + 385828352.\nAnswer: -(b + 1)**2*(11*b - 728)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - (1 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34793343 and 15.\nAnswer: 173966715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -10, -15, -28, -55, -102?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4419*y - 2223*y - 2217*y + 22. Let o be f(0). Solve -9*k - o = 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/7 (b) 0 (c) 0.5 (d) 25\/496 (e) -1.2 (f) -4 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r, 134 = -3*l + r + 3*r. Let z = 153\/4 + l. Factor 1\/4*s**4 - z*s**3 + 0*s**2 + 0*s + 0.\nAnswer: s**3*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 161 + 156 - 317. Let t(f) be the third derivative of -2*f**5\/15 + 2*f**2. Give c(t(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 73*s**2 + 12*s - 868. Calculate u(73).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -911 times 1\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102 - 121) + (-29 - -4) - -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -42?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 874 divide 3245548308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let z(v) be the first derivative of 21*v**2\/2 + 13. Give z(p(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137523, 137488, 137453, 137418, 137383, 137348?\nAnswer: 137313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 36. Let g = f + -15. Solve -g*h + 3*a = 5*a - 16, 5*h - 3*a = 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20345141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 35*j + 440. Let y(s) = -s. What is z(y(a))?\nAnswer: -35*a + 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 4) to base 6\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15*4\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -632, -1257, -1866, -2453, -3012, -3537?\nAnswer: -4022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w - 1. Let x(v) = 50*v**2 - 14. Let c(o) = -13*o**2 + 6*o + 654. Let s(y) = y**2 - 2*y - 217. Let i(b) = c(b) + 3*s(b). Give w*x(f) - 14*i(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 13*q**2 + 3*q + 29. Calculate z(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let v(g) = 52*g**2. What is k(v(b))?\nAnswer: 104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3661.2.\nAnswer: 1098.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 5 + 17 + 56*d**3 - 31 - 55*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102449 + 102503.0015. Let p = j - 54. What is p rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 30. Let z = r + 2.2. Which is the nearest to 1? (a) 0.3 (b) z (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13650, -13643, -13636?\nAnswer: -13629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 3\/160*l**6 + 1\/15*l**5 - 1\/24*l**4 - 12*l**2 + 0*l + 0 + 0*l**3. Solve q(j) = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 8. Let t = 15.3 + n. Let y = -0.9 - t. Which is the closest to 2\/5? (a) y (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 5*s**2 + 68*s**2 - 7*s**2 + 0*s**3.\nAnswer: -2*s**3 + 56*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from aauaaaauaaaaaauaaaua?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 19. Let w be v(-17). Let o(x) = 4*x**2 - 5*x + 5. Let t be o(2). Let u = 14 - t. Solve -w*p = -4*z - 2, 0*z - p = -4*z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -3*t. Let f(s) = -4 + 3*s + s**2 + s**3 - 4*s**2 - s. Let u be f(3). Solve -u*b = -0*b - t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.08 + -0.08. Let l = 0 - -0.4. Which is the biggest value? (a) 0 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*i - 40 = 269*i. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.38*0.4\nAnswer: -4.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 5)\/(-2) + -1. Suppose 5*d - 4*d = k. Determine w so that 4\/3*w**3 + d + 7\/3*w**2 - 2\/3*w = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 - 105*n**3 + 53*n**3 + 43*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.12 + 0.12. Let z = b + 4.83. Let q = z + 0.57. Sort -3, q, -2 in descending order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - x + (-1 - x + 1)*(-1 + 1 - 2) - 13*x - 31*x - 7*x - 5*x + 2*x + 2*x.\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88997175 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4736 - c**2 + 4736 + c. Let g(q) = 4*q**2 + 4*q - 1. Calculate -g(d) + 4*w(d).\nAnswer: -8*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.2952ug to grams.\nAnswer: 0.0008182952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**2*u + 13*s**2 + 40*s*u + 3446*u wrt s?\nAnswer: 2*s*u + 26*s + 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -42. Let k(t) = 5*t**2 + 7*t + 7. Let n(z) be the second derivative of -z**4\/12 - z**3\/6 - z**2\/2 - 445*z. Determine c*k(j) - 28*n(j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (-2*sqrt(170) + sqrt(170))*-3)\/(sqrt(100)\/(1*sqrt(10))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**4 + o**2 + o. Let g(f) = -4*f**5 + 44*f**4 - 84*f**3 + 84*f**2 + 12*f. Let v(q) = g(q) - 12*m(q). Determine t so that v(t) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2109726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 10*w + 6*w - 5*w**2 - 23*w.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {i: 4, t: 2, u: 4, r: 5}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-18) + (48\/27 - 2))*(-22743)\/2527.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 3*o**2 + 16*o - 4*o**3 + 6*o**3 + 2*o**2 + 37 + 118 - 18*o as k + y*o**3 + m*o**2 + c*o + i*o**4 and give k.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231363 + -4382.\nAnswer: 226981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -522, -1751, -2988, -4233?\n\"Answer: -4*d**2 - 1217*d + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 219431760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 5*b. Let w(z) = -10*z**2 - 26*z. Give -2*w(p) + 11*y(p).\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12669 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**3 - 38*k**2 + 12*k + 33. Let t be a(10). Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 44\/3, 2\/3, -19, -4, 0.4, -0.4, -6\/61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 46708?\nAnswer: -46703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)*b**(-3)*b*(b*b\/b**1)**28)**17)**(-1\/21) assuming b is positive.\nAnswer: b**(-340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 2*h**3 + 11*h**2 + 13 - 17 - 11*h**2 + h in the form s + m*h**2 + y*h + p*h**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2227*j + 1 + 127*j - 567*j)*(-4*j**3 + 4*j**3 - j**4).\nAnswer: 2667*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40716 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4474 + 4469. Let k = 3.1 + -3. Which is the closest to 2? (a) k (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i**3 + i + 110*i**3 - 66*i**3 - 64*i**3 + (2*i**2 - i**2 + i**2)*(4*i - i - i).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 214 - -630?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9064, 19669, 30280, 40897, 51520, 62149, 72784?\nAnswer: 83425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*k - 5. Let v = k - -10. Is ((-10)\/8)\/(v\/48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*d**2*i**4 + 369013*d**2*i**2 + 2*d**2*i - d*i**2 + 2*i**4 - 2310*i**3 wrt i?\nAnswer: -816*d**2*i + 48*i - 13860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/13 + 138*j\/13 - 648 = 0.\nAnswer: -108, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 1\/921 (c) 6 (d) -3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**4 - 2*z**3 + z**2 - 1. Let o(q) = -19*q**4 + 8*q**3 - 6*q**2 - 28*q + 3. Let i(h) = o(h) + 6*x(h). Find the second derivative of i(g) wrt g.\nAnswer: -300*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 18265618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8 and -103.385.\nAnswer: -102.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 420, 1558, 3440, 6066, 9436?\n\"Answer: 372*d**2 + 22*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -31. Suppose k - 6*k = -15. Let l be (-4)\/3*k\/10. Is l <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9359*r - 147. Let b(g) = 253*g - 4. What is 147*b(f) - 4*h(f)?\nAnswer: -245*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:55 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(192) + -2) - (3*4*sqrt(36))\/sqrt(12))**2.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*((10 - 688) + 5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 - 167. Let l(t) = -t**2 + 6*t - 2. Let s be l(5). Suppose -s*m - 4 = 4*f, 5*m - 7*f - 5 = -2*f. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*k**2 - 18*k**3 + 50*k**2)*(3*k + k - k) + k**4 + 0*k**4 + 0*k**4.\nAnswer: -53*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5867698649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4121 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3*a**5\/5 - 21*a**3 + 22. Find the third derivative of i(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-15))\/((-2)\/10). Let t = 10 + g. Does 3 divide 243\/36 + t\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/5 - 723*z**2\/5 - 8519*z\/5 + 9243\/5 = 0. Calculate z.\nAnswer: -711, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-170)\/(-20) - -1).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1263054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11435970 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**3 + 2*d**2 + 3*d**2 + 92 - 5*d**2 - 177 + 88.\nAnswer: -12*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*x + 229 = 0, -5*x = y + 2*y - 737. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 - 249 + 2*y + 328 as l + a*y and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13663 divided by -115.\nAnswer: 13663\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q**3 - 2*q)*(0 - 1 + 0) - 83*q**2 + 83*q**2 + 15*q**3 + (-3*q + 2*q - q)*(-40 + 40 - 14*q**2) + (q - 1 + 1)*(3*q**2 - 2*q**2 + q**2).\nAnswer: 43*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 5*h - 6. Let n = 168 - 165. Let c be y(n). Solve 3*f - 1 + 10 = c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20*l + 32. Let a(v) = v**2 + 58*v**3 - 57*v**3 - 6*v + 6 - 6*v**l. What is a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + 9 + -12 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 7*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from yok.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z + 4. Let k(g) = -g. Let l(n) = 3*k(n) - v(n). Let u(p) = 4*p - 4. Let j(t) = 3*l(t) - 4*u(t). Let b be j(0). Solve -b = 3*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/595 + (-4186)\/(-17)*6043. What is j rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let w be s(9). Suppose 4*v = 3*v - w. Let j = -4 - v. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2706.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r + 3. Let a be i(0). Suppose 4*f = 2*f + 8. Solve a*j = b + f, 3*b + j = -j + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -2*i**6\/105 - 72*i**5\/5 - 62488*i**4\/21 + 24384*i**3 - 516128*i**2\/7 - 3382*i. Factor r(l).\nAnswer: -4*(l - 2)**2*(l + 254)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 2 - (-4 + 1) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let b = 33.8 + -47. Let x = 13 + b. Put h, x, -4 in decreasing order.\nAnswer: h, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45992 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -30. Let k = z - -0.71. Let i = k + 0.29. Put 2\/15, i, 10 in ascending order.\nAnswer: i, 2\/15, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) + (-10)\/18. Sort p, 0.4, -0.5 in ascending order.\nAnswer: -0.5, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 41613*a + 706261. Give r(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let l(j) = -5*j**2 - 2. Let d(x) = -11*x**2 - 5. Suppose 4*p = -0*p + 8. Let g(t) = p*d(t) - 5*l(t). What is b(g(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-174 - -183)*1\/(-14). Which is the closest to -1\/5? (a) y (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*w = 82*w + 98. Calculate the remainder when w is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5060140 - 5060191 = -3*x, 0 = -5*x - 5*a + 45 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 861 and 105?\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 20*a**2 + 776*a - 13297. Calculate k(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*o**3 + 2*o + 157*o**3 + 6 + 53*o**2 - 49*o**2 - 2*o**4 to k*o**4 + j*o**3 + i*o**2 + n*o + r and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1 + 1 + (-4 - (-196)\/42). What is the nearest to 2\/7 in 53, r, 31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 4*b + b, -5*s + 15 = 2*b. Suppose w - 8*w + 6384 = b. Is ((-12)\/(-8))\/(-3*(-3)\/w) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5419 + -5416.6788. Round i to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 79*u. Let p(t) = -t. Give p(q(v)).\nAnswer: -2*v**2 + 79*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012 - d**2 - 1012.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2502 + 14?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/247 in -6\/7, 2, -1, 1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + f + 19*f)*(-10*f - 14 + 14).\nAnswer: -110*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 + 1025 = 313*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**6 + 1\/42*a**7 - 7\/6*a**3 - 9*a + 0*a**5 + 0*a**4 + 0*a**2 + 0. Find the second derivative of r(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146774 - -2132674. What is s rounded to the nearest 10000?\nAnswer: 1990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2871 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v + 159. Calculate the least common multiple of t(-3) and 154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10425 plus -70027782?\nAnswer: -70027782.10425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 25 = -5*q + 3*n, -4*q - 3*n - 3 = 0. Let b(i) = i. Let u be b(q). What is the third derivative of 5*o**2 - u*o**2 + 11*o**3 + o**2 + 5*o**2 wrt o?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:21 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 588*y + 68. List the prime factors of h(2).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2449921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 1 - 12 - -4) + 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 2*a**2 + a**2)*(23*a - 66*a - 17*a)*(-36*a - 22*a - 2*a).\nAnswer: -3600*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -15\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1\/2, -0.1, -39, 0.19, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-3) + 0)*1. What are the prime factors of h\/((-10)\/(-6)) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glmg when four letters picked without replacement from {m: 3, l: 9, g: 4}.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-52))\/((-2)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -626610 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13634 - 13594. Let y = -6 + 10. Suppose 0 = -b - 1, 4*w - y*b - 87 = -5*b. What is the remainder when s is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 241.142um?\nAnswer: 241142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j**(2\/7))\/((j\/j**(-8)*j)\/j**(5\/8)) assuming j is positive.\nAnswer: j**(-957\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*1)*-2 - (sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88)*3 + sqrt(88))))*5)\/(1*sqrt(800) + sqrt(56)\/sqrt(7)*-3).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6))*-3 - sqrt(6))\/(sqrt(128)*3).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*a - 128*a - 48 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223 (base 8) to base 9.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2200*u**2 + 9*u - 6. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 116*n + 0 - 3*n**2 + 113*n.\nAnswer: -3*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.14263us in seconds?\nAnswer: 0.00000314263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(14*b - 2102*b + 28*b) - 2 + 2 + b in the form j + w*b and give w.\nAnswer: 4121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.5 and 18?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + 3. Let m be 25\/(-9) - (220\/(-45))\/(-22). Sort b, 4, m in ascending order.\nAnswer: m, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 270. Give d(-66).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120.31852 + -120.26. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1080.28?\nAnswer: -3240.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3 + 14 + 11 + 1 + m. Does 8 divide v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*y - 12 = -6*w, -3*y - 12 = w. Suppose 0 = -w*f - 4*f - 24. Let x(a) be the first derivative of -a**4\/4 - 2*a**3 + a**2\/2 - 29948. What is x(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3047 - -3049. Solve -5*x + 3*t - 5 = 0, 2*x + z*t - 2 = 4*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 36*u - 33. Is 41 a factor of b(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*r = 19*r + 152 - 752. Solve g + 4*i + 28 = r*g, 5*g - 23 = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 48*v + 334\/7.\nAnswer: 2*(v + 1)*(v + 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*((-1160)\/(-48))\/29.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 1330 - 617 - 613 = z + 4*q, 5*z - 25 = 5*q for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14982540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 18.53*0.4\nAnswer: 7.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -6*u + u + 3*y, 4*u = 4*y + 116. What is the highest common factor of 275 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**6\/120 + k**5\/5 - k**4\/8 - 3*k**3\/2 + 19*k**2. Is n(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-51)\/(-25))\/((462\/(-55))\/21). Which is the smallest value? (a) 9 (b) 3 (c) x (d) 0.14 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.13682 less than -1181530?\nAnswer: -1181538.13682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - (17 - (-6 + (-36 - -67))).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 - 2*i + 0*i + 53)*(-1 + 1 + i) as k*i**2 + r*i + c and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47978 is divided by 11912.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*v + 68, d - 3*d - 4*v + 34 = 0. Suppose -m + 6 + 4 = 3*s, -3*m = -4*s - d. Find the second derivative of 7*q + 5*q**4 + 7 - m wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 + 19 = 0. Calculate the smallest common multiple of b and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43\/72 - -2\/9. Let m = -1 + 1. Which is the nearest to m? (a) 0.5 (b) -0.01 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 + 6.7. Let d = 35 + -38.2. Let g = d + q. What is g rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109\/280773 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25380 = 4270*o - 4505*o for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from sxsbhmq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 73?\nAnswer: 11\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l = -105*l - 746 - 496. Which is smaller: l or 164?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475566357 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72709387.\nAnswer: 73, 996019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 568*b**3*s*w + 5638*b**3*w - 3183*b**2*w + 17*b*s*w - 128*b*s + 2*w wrt s.\nAnswer: 568*b**3*w + 17*b*w - 128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417808419?\nAnswer: 3, 7, 73, 449, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -39. Solve -2*k + 4 = v*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/16*(-12)\/14. Let x be 10\/3*(63\/35)\/z. Find c such that 5\/3*c**x - 10\/3 - 5\/3*c = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 9339398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 6, b: 7, u: 1, q: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -54145?\nAnswer: -54150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 289?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -33*x + 255. Let o(i) = i**2 + 0*i**2 + 0*i**2. Let y(l) = l**3 + 4*l**2 - l. Give x*o(t) - y(t).\nAnswer: -t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363.2731 meters to kilometers.\nAnswer: 0.3632731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4935)\/2303 + 82\/35).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v - 1. Let h(z) = -z**2 - 2*z + 6. Suppose -5*d = 2*l + 18, 2*d = -l - 2*l - 16. Let y(b) = d*h(b) - 4*p(b). Suppose y(q) = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7236 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -387, -755, -1369, -2229, -3335, -4687?\n\"Answer: -123*h**2 + h - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12660, 28322, 43984?\nAnswer: 59646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*y = -45748 + 29752 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 47. Put j, -4, 5 in decreasing order.\nAnswer: 5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.015 - 0.015. Let f = 530.119719 - 455.11966. Let k = f - j. Round k to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -l - 2 - 0. Solve 0 = 19*i - 16*i + l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 170602572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*g - 57 = 0, 2*x + 2*g + 57 = 99. Let l = -13 + 22. Calculate the remainder when x is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(-2\/5)*c))**(-26)*c*c**3*c*c\/c**(-2\/3)*c*(c**(-2\/19)\/c**(-3\/2))\/((((c**(-2\/9)*c)\/c*c*c)\/c*c)\/c*c*c*c**2) assuming c is positive.\nAnswer: c**(-10459\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -540. Let i = n + -372.2. Let m = -9 - -13. Sort m, -0.3, i in increasing order.\nAnswer: i, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 + 399*m**2 - 68670*m + 761400 = 0. What is m?\nAnswer: -235, 12, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.98 + 0.02. Let r = -237\/98 - 4\/49. Let z = 31\/14 + r. Put z, -0.1, j in descending order.\nAnswer: j, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 8 + 2*c + 3*c + 45. Is y(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 420?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 + 120*c**4 + 231*c**3 + 114*c**2.\nAnswer: 3*c**2*(c + 1)**2*(c + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 4. Let m be l(-3). Suppose -m*h - 4*r = -37, -4*h - 4*r + 24 = -8. Suppose -h*t + 3*n = -242, -4*t - 4*n + 222 - 22 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v - 3. Let t be q(2). Suppose 0 = -5*c - 4*k + 28 - 3, -4*c + 5*k - t = 0. Is c greater than 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 12 = 0. Let h = -9 - y. Let z be 4\/(-35) + 6\/15. Which is the smallest value? (a) h (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 6*p - 4. Let d be n(-7). What is the units digit of d*(2 + -3) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 930*o**2 - 2780*o**2 + 928*o**2 + 882*o**2.\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69267\/5 + -13854. What is the third biggest value in 2, 7.4, v, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aql when three letters picked without replacement from {l: 3, g: 2, q: 1, a: 1, c: 4, r: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-6)\/(288\/(-244))) + (-50 - -51). Which is bigger: v or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143564*t**5*x - 26*t**4*x + t**2*x + 42*t**2 + 10*t - 8*x + 9 wrt t.\nAnswer: -8613840*t**2*x - 624*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {n: 4, t: 1, i: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8643\/(-268))\/(-43)*84\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j + (4 - 2 - 1)*(-6*j + j + 3*j) + 4*j + 3 - 3)*(91*j + 45*j - 41*j).\nAnswer: 285*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/20 - 5*a**4\/6 + 2*a**3 + 6*a**2 - 4*a. Suppose -2*y + 219*y + 1270 = -1117. Calculate x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 172*i - 162*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8745*t**2 - 4516*t**2 - 4231*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49985 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14227, 13, 4 in increasing order.\nAnswer: -14227, -3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/25 + 1917\/100. What is the common denominator of h and 85\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t - 41. Give r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/75174 and -55\/4.\nAnswer: 150348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 2*r - 4*g - 258, -3*r + 3*g = -72. Which is the third smallest value? (a) 0.08 (b) 0.5 (c) 4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7663, 12756, 17857, 22966, 28083, 33208, 38341?\n\"Answer: 4*r**2 + 5081*r + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let m(x) = -x - 2. Let w(k) be the second derivative of -3*k**2\/2 + 11*k. Let z(h) = 3*m(h) - 2*w(h). Give z(j(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*t**3 - 1795*t**3 + 163*t + 596*t**3 + 104*t + 603*t**3.\nAnswer: t**3 + 267*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 51 = 2*a. Let f = 115 + -31. Let b = f - a. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -2. Suppose -7*b - 4 = -d. Suppose 5*x = -5*j - 7 - 8, 0 = -b*j - 3*x - 10. Which is smaller: -33 or j?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let a(q) be the second derivative of 5*q**3\/3 - 5*q**2\/2 - 43*q - 2. Let o(x) = -3*x + 1. Let i(c) = a(c) + 5*o(c). Determine g(i(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o - 3. Let r be f(2). Let u = r - 1. Does 4 divide -3 + (6 - u\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 - 150. Which is the nearest to y? (a) -1\/3 (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224 + -377. Let b be j\/(-34) + (-2)\/4. Suppose 74 = 4*x - 5*t, x + 3*t - 6 = b. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8550550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 619720 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:47 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - -16. Suppose -3*q + 5*p - a = q, p = -5*q - 123. Let t be 27240\/q + (-2)\/5. Round t to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 j when four letters picked without replacement from jggjggjgjg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/6 - 3)*-6. Suppose -28 - z = -10*x. Let t be (((-15)\/x)\/(-5))\/(5\/(-25)). Is -2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*n + n, -n = -4*j + 77. Let w be (-4487)\/(-3444) + j\/(-15). Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 323 = 3*g, 3*i + 4*g - 507 = g. Calculate the remainder when i is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {l: 10, p: 3, u: 2, f: 3, t: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9027506 is divided by 3646.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.1, -0.2, -0.1589?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1406 + 1409. Determine u, given that 0*u**2 - 1\/2 + 3\/4*u - 1\/4*u**v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 5*c**4\/4 + c**2 + 2*c - 26. Let k(q) = -4*q**3 - q - 2. Determine -3*k(y) - 2*w(y).\nAnswer: 2*y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 228 = 2*c, -13*c + 15*c = f + 229. Let r(b) = b**3 + 11*b**2 - b - 2. Calculate the remainder when c is divided by r(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.9 - 125.9. Let a = i - 17. Let v = 123.9999871 + a. What is v rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/426 and 43\/64?\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 74*g**2 - 110*g + 1992. Calculate t(-72).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - -1)*(-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 7, u: 3, f: 1}. Give prob of picking 2 u and 2 l.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3234a3 (base 12) to base 2\nAnswer: 11000001110011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**5 - 4*z**2 - 4*z**5 + 3*z**5)*(-1 + 0 + 2).\nAnswer: 2*z**5 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 - 9?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 149, 221, 293, 365?\n\"Answer: 72*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by 152.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*r*x**2 + 41166*r - 8*x**3 + 13*x**2 + 51*x wrt x?\nAnswer: -114*r - 48*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/7)\/((-2)\/(-14)). Suppose 247 = m*n - 395. List the prime factors of n.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132\/7*b + 216 - 4\/7*b**2 = 0.\nAnswer: -9, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003062731 rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3996\/(-2220)*5\/(-75)*-5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 9*z + 27. Find the third derivative of u - 44*u**2 - 6*u**3 + 47*u**z - 7*u**3 wrt u.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1208231 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 - 1840*g**2\/3.\nAnswer: 2*g**2*(g - 920)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*f = -8*f - 56, 3*f = -x + 2. Suppose x*l = 342 + 87. Suppose 5*s + 2*q - 582 = 0, 1 = 2*q - 1. What is the remainder when s is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/15)*g*(g\/(g*g\/(g\/g**10)*g)*g)\/g)\/(g*(((((g**0\/g)\/g)\/g*g)\/g)\/g)\/g)**(2\/13) assuming g is positive.\nAnswer: g**(-1856\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98499*t**2 + 4*t**3 + 5*t + 8*t - 82*t + 69*t - t**3 + 98499*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**3\/3 - 188308*h**2 + 1899610752*h + 1628283904\/3.\nAnswer: 2*(h - 20176)**2*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 7*v + 6. Let q be g(-6). Suppose q + 2 = -2*y. Let i be (-10 + y)\/(2 + -3). Calculate the highest common divisor of 77 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31*a + 4. Let u(l) = -l**2 - 10*l - 4. Let f be u(-9). Is s(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*i - 51, -4*a - 85 = -5*i - 2*a. Solve 3*c + 5 = i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3805045 is divided by 594.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.3. Let w = -79.72 - 1.08. Let d = 81 + w. Which is the closest to -0.1? (a) k (b) d (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -33*u**2 - 4296*u - 531. Determine s(-130).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-357)\/119\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 280102, 1, -4, -16 in ascending order.\nAnswer: -16, -4, 1, 280102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 8, p: 5}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2 (b) -62 (c) 1\/239 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120 is divided by 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 45*a + 29. Is g(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 2 + 28058*y**2 - 28058*y**2 + 158*y**3 as l*y**2 + c + k*y + u*y**3 and give u.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w - 5 = -38*w. Suppose -w*v = 4*v - 54. Calculate the smallest common multiple of 27 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (254\/4)\/((-14)\/(-56)). Suppose -7*y = -2*y - j. Let k = -32 - -45. What is the remainder when y is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.3 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -b + 17, -2*b + 0*w - 3*w = -79. Solve 0 = -3*s + 5*d - b, 0 = -s - 2*d + 6 - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 + 3*m**2 + 0*m**3 + 4*m**2 - 3*m**2.\nAnswer: 6*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.0255466 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14007, 13920, 13829, 13734, 13635, 13532?\n\"Answer: -2*j**2 - 81*j + 14090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2*x + 27*v**2 - 19*x + 2 wrt x.\nAnswer: v**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7907.\nAnswer: 1\/7907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(8\/6)\/2. Suppose 21 = -4*v - 5*y, -v - y - 2 = f*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60416 divided by -4\nAnswer: -15104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111111001 (base 2) to base 11.\nAnswer: -2762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.008, -1, -0.03, -500, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, 0, 3\/4, 219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 23*t - 1 - 21*t + 0*t**2 - t**2. Let a(b) = 3 - 9*b + 1 - 1 + b**2. Let q be a(9). What is j(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 4*c - 3. Let s = -16 - -12. Give j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 + 3 - (-7 - (-16 - -5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 15, -1\/5, 0.6, -4, -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39079*a**3 - 28550*a**2 - 2?\nAnswer: 234474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(55))\/sqrt(11).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u + 16 = -26*u + 37*u + 105 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 - (-9 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.01 - 0.01. Let u = -1.65578 + 1.75578. Which is the smallest value? (a) -32 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -0.2 (c) -14 (d) 99 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1\/328 (c) 4 (d) 2.1 (e) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*t = -10*x + 31, 3*x + 3*t - 21 = 0. Let d be -1 + x + -3 + 3. Let o = d - 2. Solve o*k - 5*s = -2*k - 15, 2*k + 3*s = 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111\/4 + -28. Let x = 214.5 + -214.5. What is the nearest to c in 0.3, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3, 4*r = 3*r - 3*d + 31. Let g = r + -33. Which is smaller: g or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 - 15*d + 9. Let n be t(11). Let f be (-6)\/(-8) + n\/952. Which is greater: f or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54905831933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = 5*g - 3*g, 0 = 3*x - g - 23. Let z be 4\/(-14) - (-2)\/7. Let n = z + x. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 11*p**2 - 13*p + 2. Let v be k(-12). Solve -2*a + v - 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 235 = 46*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 205 = 25*b - 460 + 19 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -31. Sort -3\/2, -0.3, 1\/3, x in descending order.\nAnswer: x, 1\/3, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*y - 13, y - 6*y - 3*m = -16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 73153 divided by 383\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 17. Let y(i) = -8. Calculate -2*q(f) - 5*y(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u**5 - 908*u**4 + 808*u**3 + 2096*u**2 + 416*u = 0.\nAnswer: -26, -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1436 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 42*k**2 - 189*k + 87. Determine l(46).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -r - 11, 7 = -2*f + 1. Let g be 1 - (-2)\/(-2)*r. Solve 0*i + i = -4*k - 11, -3*k - 3*i - g = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 8, x: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -38 (b) -21 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9 + 6. What is the nearest to 2 in -2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.01984, -1, -73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2569059*c**3 + 3012191*c**2.\nAnswer: -15414354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v - 2. Let w be m(6). Suppose 2*g = g + 2, -w*g = -5*b + 87. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 2. Let m be r(5). Let j = 33 - m. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:37 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224084 and 816306.\nAnswer: 11428284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 + 0*n**3 + 23*n**3 + 29*n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in -0.021, -27.9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 + 11*v**2 + 4*v + 7. Let h(s) = 7*s**3 - 23*s**2 - 7*s - 14. Let z be (-6)\/5*10*(-1)\/(-4). Let p(n) = z*h(n) - 5*j(n). Is p(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -147, -336, -613, -984, -1455, -2032, -2721?\n\"Answer: -l**3 - 35*l**2 + 5*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 42200?\nAnswer: 42175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-252)*14\/1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 389\/17 or 22?\nAnswer: 389\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71052 - -118802. Let p = v + -47728.913. Let j = p + -21. Round j to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - i**2 - 2*i - 6. Let k(v) = -v**3 - 3 + 4 + 0*v**3 - 2. Let z(s) = -f(s) + 3*k(s). Is z(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 183*v**2 + 41*v - 3 - 105*v**2 - 77*v**2 + 1 + 2*v**2 - 1 + (0*v**2 + 3*v**2 - v**2)*(2 + 0 - 4) - 1 - v**2 + 1.\nAnswer: -2*v**2 + 41*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12156, 21631, 28444, 32595, 34084, 32911?\n\"Answer: -1331*b**2 + 13468*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217255 is divided by 118?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/7 (b) -103 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let a(f) = -8*f. Let s(q) = -a(q) + 2*g(q). Let u(l) = -2*l**2 - l. Let x(d) = d**2 + 3*d. Let z(n) = -6*u(n) - 2*x(n). Calculate s(z(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 357 divided by 51\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r - 1 - 6*r - 16*r in the form s*r + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 24, -5*j - 4*d - 1579 = -1631. Let m be (2\/4)\/(3\/(-24)). Let q = -2 - m. Solve 2*v - 10 = -j*u, q = v + v - 4*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d + 6*d - 6*d + 3 + 0*d. Calculate the remainder when 80 is divided by c(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121511101 (base 6) to base 11.\nAnswer: 1349a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 112a44?\nAnswer: -112a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -x + 371. Let a(u) = u**2 - 3*u - 1. Let y be a(5). Suppose 0 = -3*g + y*g - x. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-5 + 6) - 58*1. Let o = 4 - u. Let r = -122 + 212. What is the greatest common factor of o and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence add when three letters picked without replacement from dtccgkdccacaa?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - (-3 - (1 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5)\/g**1*(g**(1\/4))**4)\/((g\/(g**(2\/3)\/g*g*g))**(-3\/7))**(-20) assuming g is positive.\nAnswer: g**(179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/3 + 176*g - 97250\/3 = 0.\nAnswer: -389, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -206823600 divided by 6\nAnswer: -34470600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + w = 1988. Let l = -108 - -42. Let z = l + w. Solve -v - z = -y + 4*y, 0 = 3*v + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/69340348 and -17\/228.\nAnswer: 208021044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*23\/14 - (-151)\/2114.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14192345 is divided by 7781.\nAnswer: 7582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -3. Let r(l) = -123 + 125 - 5*l - 4*l. Let b(z) = -24*z + 38. Let k(s) = -8*s + 14. Let u(d) = -3*b(d) + 8*k(d). Calculate g*u(p) - 6*r(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 4*v - 2*j - 521, 3*v + j = 644. Suppose -5*i = -v + 68. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 1188*y + 451278.\nAnswer: 2*(y + 549)*(y + 1233)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 628088371015?\nAnswer: -628088371015.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3484, 1232 in decreasing order.\nAnswer: 1232, 5, -3484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21777378 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 510 = -84*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 2. Let a(s) = 3*s + 7. Let b(t) = t**2 + 7*t - 12. Let q be b(-9). Suppose q + 1 = l. Determine l*i(y) + 2*a(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.908 minus -0.244?\nAnswer: -2.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + 11*g - 4*g**3 + g - 12*g**2 + 8*g**3 + 10. Let i be m(11). Let b(k) = 8 + 10 - i - k. Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 - 121 + 16*c to d*c + n and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 113 + 269 = 128 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(75\/30*4\/(-260))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 10*d + 12. Let u be y(8). Let o = u - -4. Suppose 0 = 5*c + m + 13, o = -c + 3*m - m - 7. Sort c, -1, -4 in decreasing order.\nAnswer: -1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -588*g**3 - 3*g**2 - g + 1. Suppose -18 = -2*n - 5*j, 9*n - 4*n + 2*j = 3. Is y(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17248 = 102*l + 290*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113898579.25100699 - 113898578. Let o = r + -1.251. Round o to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 17. Suppose 6*c - 12 = 4*c. Is 2 a factor of t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 - 35 - 4*h)*(-h + 2*h - 3*h).\nAnswer: 8*h**2 + 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-23 + (-4981)\/(-221)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 42*c - 87. Let h be t(-2). Suppose 3*s = -6 + 3. Let u = h + s. Let x(k) = -k**2 + 2*k + 1. What is x(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 7*g - 174 = 0, 1488*g + 59 = -3*z + 743*g + 743*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3344 - -3343. Suppose -95 = i - 6*i. Sort -5, i, k in decreasing order.\nAnswer: i, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgf when three letters picked without replacement from auaugaavfauaaafugag?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 41*u + 240. Let r be i(-34). Solve -126*b + 124*b + r = 2*s, -s = 2*b - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -j - 2*u, j + 28 = 4*j + 2*u. Suppose -10*q = -j*q + 12, 0 = n - 2*q - 4. Let k(h) = -3*h**2 - h + 2. Give k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158520 and 14.\nAnswer: 1109640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**7\/840 + 53*g**4\/12 - 5*g**3 + 6. Let q(o) be the third derivative of j(o). What is the tens digit of q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8787 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2552*l**5*v**3 + 74*l**2*v**3 + 10*l**2*v**2 wrt l?\nAnswer: -153120*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35389490 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 3. Let s be w(3). Solve -4*z - 3 + 7 = s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 + y**2 + 3*y**2 + 7*y + 11 + y**2. Let u = -29 + 18. Is x(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = 3*p, -p = -2*t + p + 20. Suppose -12 = -4*l + l + 3*q, 3*l - t = q. Suppose a + 15 = -3*n, -3*n = -5*a - 4*n - l. Solve a = 2*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 31*y + 9*y + 667, -118 = -2*a - 22*y + 18*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3 + 0 + 1\/2*v + 2*v**4 + 2*v**2 + 1\/2*v**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-7))\/12)\/(4\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5094 is divided by 67.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*104\/(849680\/(-855))?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116378 divided by -88.\nAnswer: -58189\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 40. Suppose 4*u - s - 397 = -u, 2*u = -2*s + 166. Calculate the greatest common factor of u and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52772 + -21522. Let h be 56576\/40*b\/2. What is h rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-35) - 722\/(-10). Suppose -54 = -m - 5*y, -2*m = -2*y - r - 24. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.647 + -8.383. What is y rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 8*o**2 - 18*o - 13. Give v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -21*x**4\/4 - 13*x**2\/2 + 9. Find the second derivative of f(r) wrt r.\nAnswer: -126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 5, -936, 3.\nAnswer: -936, -8, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 11*v**2 - 14*v + 21. Let i be y(-11). Let r(d) = d - 1. Let b be r(4). Suppose 0 = 2*a + b*n - 70, -n = 5*a - 10*a + i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 194. Let s(n) = -n**2. Give s(g(v)).\nAnswer: -4*v**2 + 776*v - 37636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12 + (-4)\/16)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 6. Let o be d(-8). Suppose 5*t - 3*q - 4 = 0, -2*t - o*q + 10 = t. Let c = -2 + t. Solve -2*n - 4*y + 4 = 0, 4*n + 3*y + 2 = -c*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 43 = -i. Let v be -2*(1*-33 - -1). Let d = i + v. Solve d = 3*s + 5*u - 2*u, -5*s - u + 23 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 3, f: 5, s: 2, t: 1}. What is prob of sequence ssfk?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252753\/16 <= 15798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/(25856\/(-1188)) + (-12)\/(-48) and 35\/808.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84876 or 34\/9?\nAnswer: 84876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-1 - (-3)\/5)\/(6\/(-900))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3668 by -4.\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:02 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:09 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 11:04 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.329 times -1?\nAnswer: 44.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375679792, 375679794, 375679796?\nAnswer: 375679798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from jjqqjqqjqjqq?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 40. Let k be i(11). Let o(b) = -3*b. Let y(m) be the second derivative of m**3\/3 - 71*m. Calculate k*y(w) - 4*o(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003975 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -258 in -59833, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, -8, -74 in ascending order.\nAnswer: -74, -8, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 382734 and 71188524?\nAnswer: 71188524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1422 and -71\/4713219?\nAnswer: 9426438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77503 = -367*s + 1421*s + 595*s for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124345*f**3 - f + 95403.\nAnswer: -746070*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 4*i - 4*i + (-i + i + 2*i)*(-4 + 2 + 4) + 2 - 2 - 7*i + 0 + 0 - i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-10))\/(12\/(-20)). Suppose -4*y = -0*y + 5*f - 1, -y - 2 = -f. What is the second smallest value in 0.04, y, h?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 250*m - 753. Give r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 2*y - 42, -3*f + 12*y + 1758 - 1614 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.005, -5, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.005, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2906840 and 5365.\nAnswer: 3119039320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Suppose 0*d + 2*d + 6 = 0. Let r be -1 - d\/((-3)\/(-8)). Let v = r + -3. Let g(c) = c**2 - 4*c - 4. What is v*o(y) - g(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40620*s**5 + 41001*s?\nAnswer: 812400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:50 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 737*o**2\/4 + 184*o.\nAnswer: o*(o - 736)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-6)\/(-4)) + 14. Let d = 32\/3 - m. Put 3, d, -0.1 in decreasing order.\nAnswer: 3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 10*m**2 - 7*m + 15. Let s be 76\/(-16) + (6 - (-25)\/(-4)). Let d(w) = -2*w**3 - 7*w**2 + 5*w - 10. What is s*g(t) - 7*d(t)?\nAnswer: -t**3 - t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 494*h + 758*h - 17528 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1490 and 1076390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.490021 kilometers?\nAnswer: 8490021000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 14. Calculate the lowest common multiple of 11 and q(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8*2 + 2. Let v = -5 - -9. Is v equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**8\/560 + 3*n**5\/40 - 7*n**3\/3 - 6. Let t(p) be the third derivative of c(p). Find the second derivative of t(m) wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*r = -196*r + 26 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*q + 3*n, -6*n = -q - n. Suppose q*d - 10 = -0*d. Let v(c) = 6*c**2. What is the units digit of v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 843674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 2*p**2 - 6*p + 11. Let b be r(-6). Suppose -2*a + 0*n = -n - b, -5*a + 482 = -n. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 420, 422, 424, 426, 428, 430?\n\"Answer: 2*y + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 89*x**2 + 56*x**2 - 3*x**3.\nAnswer: -x**3 - 33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19814408 and -20?\nAnswer: -396288160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 602.\nAnswer: 12642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*f**3 + 128*f**3 + 264*f**3 - 926*f**3 + 271*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 67\/5 of a microgram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82519 and 1074.\nAnswer: 495114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 3*n - 3*n + 3*n. Let b(h) = 4*h - 1. Determine -b(w) + 2*d(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -21414*f + 645. Let p(l) = 133*l - 4. Determine 645*p(m) + 4*x(m).\nAnswer: 129*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14207?\nAnswer: 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-160)*16\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68029301.\nAnswer: 59, 97, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {v: 1, r: 1, g: 1, u: 1, e: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**3*o*o**(1\/15)*o assuming o is positive.\nAnswer: o**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1365, 1372, 1381, 1392, 1405, 1420?\n\"Answer: l**2 + 4*l + 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3551, -3590, -3629, -3668, -3707?\n\"Answer: -39*h - 3512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 70 = -11*d. Suppose -10*x = -d*x + 4. Let g be (-2)\/(-7) + 12\/(-91). Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12272, -12161, -12050, -11939, -11828, -11717?\n\"Answer: 111*q - 12383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 65 = 18*h. Let f be 34\/119 - (-116)\/h. Let q(b) = -b**3 - 3*b**2 - 5*b + 29. Is q(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1. Let g(y) = -y + 1. Let i(j) = -2*d(j) - 3*g(j). Determine i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -192, -817, -1860, -3321, -5200, -7497?\n\"Answer: -209*m**2 + 2*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - 199. Let d(g) = 4*g + 141. What is the remainder when 228 is divided by d(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -16447267.\nAnswer: -16447266.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4676349 - 65041.\nAnswer: -65037.5323651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/5 + 484\/605. Solve 14 = t*o - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*n = 0, 0 = -28*b + 25*b - 2*n - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 14*w - 44 = 0. Suppose -13*u + 14*u - w = 0. Calculate the smallest common multiple of u and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = 0, 5*w - 46 = -4*n + 782. Calculate the remainder when 412 is divided by n.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266.7 + -247. Let l = 19.8 - r. Which is the second biggest value? (a) -0.37 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 454*f - 1. Let k(y) = -452*y + 1. Give -5*b(t) - 4*k(t).\nAnswer: -462*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(19) + (sqrt(228) - 1*sqrt(228))\/sqrt(12))**2*-4 + 1.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -101112111?\nAnswer: -101112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1185, -2\/551, -0.052?\nAnswer: -2\/551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1045 - -465. Let k be 0\/2 + -6 + 7 + -397. Let a = k - r. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79770406, 159540813, 239311220?\n\"Answer: 79770407*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3410)\/(-25))\/11 + -10. Let a = 627 - 3123\/5. Find q, given that i + 3\/5*q**2 + a*q = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*((-14 - (-192)\/16) + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 7*p**2 - 7*p. Let q be 2\/(-5) - ((-290)\/(-25) + -3). Is 18 a factor of f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 39 = 4. Suppose -4*y = -3*j - 4, 3*y - 2 - 12 = 5*j. Let t be (0\/y)\/((h - 1) + -2). Solve -4*i + 12 = 3*a, 5*i = -t*a - 2*a + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (-122 - -113)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 0.69693.\nAnswer: -1.30307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 91666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 200*t**2 + 4075*t - 705. Calculate z(177).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -154676*j**2 + 3*j + 1. Let n(y) = -4*y. Determine v(n(s)).\nAnswer: -2474816*s**2 - 12*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 4, b: 1, a: 1, d: 1}. Give prob of sequence bdp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**8\/420 - 13*j**4\/24 + 7*j**3\/6 - 8*j**2. Let g(i) be the first derivative of v(i). Differentiate g(b) with respect to b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -1118, -3798, -9078, -17840, -30966, -49338, -73838?\nAnswer: -105348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1129877, 5, 19 in decreasing order.\nAnswer: 1129877, 19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 take away 0.5?\nAnswer: 173.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (2 + -1)) + -28 + 17 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 1, f: 1, m: 2, p: 3, k: 2}. What is prob of sequence fkms?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + h = 6*h - 12, -h = 0. Suppose -4*m + p*m + 127 = 0. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-21)\/c*c*c)\/(c\/c**(3\/7)) assuming c is positive.\nAnswer: c**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88763 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50741692 divided by 6?\nAnswer: -25370846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j - 4*y, 2*j - y = y - 10. Which is bigger: -5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000123539 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1540390\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h + 4. Let v(y) = 45*y - 35. Let u be 1\/((-5)\/(-20)) - 0. Determine u*v(n) + 35*d(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 + 2*h - 2. Give u(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35440127?\nAnswer: 43, 824189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = w - 1355, -2*g = 2*w + 128 - 810. Suppose -2*p - 3*u + 147 = -p, 2*p = 5*u + g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + -2*sqrt(120))\/sqrt(6))\/(sqrt(10) - sqrt(10)*-2*-4))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011.16 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 374628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/16 - v**3\/6 + v**2\/8 - 40. Let o(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 169?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33.1, -0.5, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 66, 0.03, -3 in descending order.\nAnswer: 66, 0.03, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 111110000101101?\nAnswer: 111110000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -13*m**4\/24 - 3*m**3 - 8*m**2. Suppose 3*k + 5*x + 47 = 0, 4*k + 57 = 12*x - 13*x. List the prime factors of y(k).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 2. Let m(o) = 3*o**2 - o**2 - 8*o**g - 5 - 6*o - o**3 + 2. Let a be m(-5). Solve -2*d - a*d = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14191398 and 1404?\nAnswer: 85148388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 533, 1032, 1741, 2666, 3813, 5188, 6797?\nAnswer: 8646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112494\/17 or 6616?\nAnswer: 6616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 6*g - 6. What is l(-4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u - 20 = 67*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(2*b + 2 - 2)*(-b - 2 + 2).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33504 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6340*l - 729087. Calculate j(-115).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 - 4*p - 3. Let r be i(-2). Let u be r + 3 - (1 + -7). Suppose -u*c + 1 = -1. Solve 2*w - 4*y - 24 = 0, -y + c = 3*w - 0*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 16, -5*o - 47 = 5*m + 323. Let x = m - -150. What is the highest common divisor of x and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 - 6) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 16\/217, -1, 2\/17, 2, 6, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 1126.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/(-612)*((-20825)\/140)\/(-7).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q*q*q*q\/(q**(-3)*q))\/(q**(2\/17)*q**(-2\/17)*q) assuming q is positive.\nAnswer: q**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-41 - (29 - 113))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 - 166512*j**2 - 3663990*j - 20153276 = 0 for j.\nAnswer: -11, 83278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 16, 0, 1 in ascending order.\nAnswer: 0, 1, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 56 = -0*z. Let i be ((-4)\/(-3))\/((-1)\/(-3)). Suppose -z + 5 = -h - o, i*h + 5*o = 97. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 - 232. Let a = 119 + p. Let d = 139 + -115. What is the remainder when a is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14916 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: Let b(p) = -1243*p - 22362. Determine b(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 + -156. Let h = 2 - 1. Put -5, o, h in increasing order.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2642 = -538*z + 4171 + 6099 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 2*p + 16, i - 6*p = -5*p - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 15*s**2 - 2*s + 168. Let a be z(-14). Solve -k = -w - 2*k, a = 4*k - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109\/((-38259)\/135)*21\/30\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/5*(-6)\/38*12445\/(-1965)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -462880.\nAnswer: 5091680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84)*-2*6)\/(6*(sqrt(768) - (sqrt(768) + 3*sqrt(768)))))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from kmtmikkkyk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 - 4*k - 3. Let u(i) = i**3 - 1 + 0*i**3 + 0*i**3. Let j be u(-1). Let z be (-20)\/2*j\/4. What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - s + 2. Let d be r(0). Let v(m) = 10*m**3 + m**2 - 4*m + 3. Let q be v(d). Let y = q + 40. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - x + 9, 21 = 3*g + x - 12. Suppose t = -5*w + 3*w + g, 3*t - 20 = -2*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6823, -2, -4, -5 in descending order.\nAnswer: -2, -4, -5, -6823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 10) in base 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 8*s + 5. Let m be x(-8). Suppose 0*k + m*r = -k + 12, k - r = 0. Solve p - k*p = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-15)\/(-10) - 0. Let p = 19\/66 - -1\/22. What is the nearest to o in 2, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 9. Calculate y(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 7. What is a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o = 25*o + 156. Calculate the highest common divisor of o and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15206 in -6, -3, 1, 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14370 + a4b0?\nAnswer: -5a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591059904 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4\/3 (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away 5.79?\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2 - 7*l**2 + 2*l**2 - 7*l**2 + 5*l**2. Let o(w) = 50*w**2 - 15. Let r(b) = 2*o(b) + 15*x(b). Let y(s) = s**2. Give r(y(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - 19*o + 12. Is 7 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - 4\/((-3888)\/(-10770)). Is 0.1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 59 = -45 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 - 5*n**2 - 33*n - 363. What is the hundreds digit of l(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**32\/((t*t\/(t*t*t\/(t\/t**(1\/4)))*t*t)\/t**(1\/9)))**15 assuming t is positive.\nAnswer: t**(-295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -41 - 43 - n**2 - 32 + 116. Let y(r) = 2*r**2 - 6*r - 2. Determine 4*s(x) + y(x).\nAnswer: -2*x**2 - 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 70 = -18*q, -5*z - 263*q = -260*q + 71 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5768 is divided by 2258?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 98*k + 21 = -96*k - 46, 2*k = 62 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17364)\/(-7) + (-36)\/63. Let l be 12\/(-9)*(-168)\/w. Let a = l - -4\/93. Put -4\/5, -0.5, a, 4 in decreasing order.\nAnswer: 4, a, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4517 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -10, 4 in descending order.\nAnswer: 44, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 40*y**2 - 8481*y - 1740. Calculate c(56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (-23 - (-20 - -18) - (-162 + 24))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79\/330 - 4\/55. Let b = -1 - -10\/9. What is the closest to k in 1\/7, 1, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2595*g + 1100336. What is f(-424)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83722, 83724, 83728, 83734, 83742?\n\"Answer: w**2 - w + 83722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2027*a**4 - 9268*a**3 - 2*a - 2050987.\nAnswer: 24324*a**2 - 55608*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - -0.07. Let k = -1 - -1.4. Let y = 0.2 - k. Put 1, u, y in descending order.\nAnswer: 1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27781 - 27771. Sort 141, 5, t.\nAnswer: 5, t, 141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q. Suppose 0 = d + 2*l - 10, q = 5*d - 0*l + 5*l - 40. What is the third derivative of -3*c**2 - 2*c**d - 4*c**6 + c**6 wrt c?\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 32*c**2 - 31*c + 5. Let u be v(31). Let l = 25 - 8. Suppose 2*j - l = 13. What is the highest common divisor of u and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, 3\/4, -0.2, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*c = -c, j + 4*c = 0. Let d = j - 3. Let v = 11 + d. What is the lowest common multiple of v and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 38*n**2 - 2337*n + 53. What is the thousands digit of m(72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178 - -182. Calculate the highest common divisor of s and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2*k + 5\/2*k**2 + 1\/2*k**3 = 0. Calculate k.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1901, -3775, -5651, -7523, -9385, -11231, -13055?\nAnswer: -14851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 11 + (-8 - (-2 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928079425?\nAnswer: 5, 7, 13, 407947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*3.5.\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -42*v - 1. Let c(l) = -5*l. Determine 40*c(b) - 5*i(b).\nAnswer: 10*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*1*6)\/(4*-3*sqrt(7) - sqrt(7) - sqrt(7) - sqrt(7)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:53 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = -2. Find the third derivative of -5*k**2 - k**g + 4*k**2 + 4*k**4 wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 15.1?\nAnswer: 2.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 45*a**2 - 12*a - 436. Determine r(-45).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8*m - 5 = 4*m, -2*a = -2*m - 8. Let i = a - 0. Suppose 4*h = i + 17. Solve 25 = -2*z - h*j, -5 - 6 = z + 2*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let x(q) = -7360*q - 12. Let w(v) = x(v) - 8*z(v). Let d be w(-3). What is d rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 2*a + 0*a - 5 + 3*a**2 + a**3. Let s(r) = -r**3 - r**2 - r + 1. Let o = 33 + -36. Let c(g) = o*s(g) - h(g). Differentiate c(u) wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aebbc + -c9?\nAnswer: aeaf3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/4 + 5*y**3 - 7*y**2 - 20*y - 13. What is the units digit of p(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7817 = 36*l - 3379. Let w = 323 - l. Solve p - 16 = 2*p + 5*r, -p - w = 4*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5992*k**2 + 9*k. Let s(a) = 5991*a**2 - 12*a - 1. Give 4*c(h) + 3*s(h).\nAnswer: -5995*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4081725 < -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at most 36058.4345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/263, -4, -2\/31, -1 in descending order.\nAnswer: 2\/263, -2\/31, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 + -3011859.3.\nAnswer: -3011859.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, f: 6}. Give prob of picking 1 d and 3 f.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 8, 5, 0 in decreasing order.\nAnswer: 8, 5, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 5*r + 21, -2*r = -5*d + 16. Suppose -d*v + 0 = -2. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83754.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13582?\nAnswer: 2, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 521333 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 8\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 84, 75, 52, 9, -60, -161?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614261 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*z**3 - 44*z**2 + 22*z - 9510.\nAnswer: 9*z**2 - 88*z + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 82. List the prime factors of c(0).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 2*h. Let x be 3\/2*6\/3. Let i be u(x). Suppose i*k = 13 + 2. What is the remainder when 13 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 + 1 = 0. Suppose -9*o + 5*p + 275 = -4*o, -2*o - 3*p + 135 = 0. Suppose -h*r + o = -4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299696711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 5\/4 (c) -139 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 + 183*p + 1193. Determine m(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h - 11*h + 46*h - 15*h.\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3940 by 788.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c - c)*(-1 + 0 + 0) - 99 + 99 - 18*c to n + r*c and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8800 divided by -5.\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**7\/210 + c**6\/120 + c**5\/60 - c**4\/24 + 3*c**2\/2 - 4. Let i(y) be the second derivative of k(y). Factor i(n).\nAnswer: -n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001318 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.5 (c) -185601 (d) -2\/19 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 175, 288, 457, 688, 987, 1360?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 5*b**2 - b + 5. Let k be u(5). Suppose k = 3*j - j. Let t be j*-1*(-1)\/(-2). Solve 0 = -5*i - t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457080485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4 + (sqrt(304) - (sqrt(304) + 0))*4 + -1*sqrt(304) + -3)**2 + (2*sqrt(304)*-5 + sqrt(304) + sqrt(304) + 2*sqrt(304) + -5)**2 + 3).\nAnswer: -22554 - 464*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*r = -r - 70, -4*p - 5*r + 225 = 0. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a, -g = 2*a + a - 2. Let s be 1159\/2318*((-1)\/(-3) - (-17)\/(-33)). What is the smallest value in s, 0.2, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2719a8 (base 12) to base 15\nAnswer: -cb5e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3743, 4207, 4681, 5165?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 33*w**2 + 5*w + 17. Calculate the remainder when c(11) is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.3, -1, -41\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4577874 divided by 6\nAnswer: 762979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*g - 5*q - 11 = 209*g, -2*q = -2. Put 9, g, -21 in descending order.\nAnswer: 9, g, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5 + 4080*i**4 - 157092*i**3 + 2033408*i**2 - 8792394*i = 0.\nAnswer: 0, 13, 2001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*z + 4, -12*z = -10*z - 5*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/15)*r**(-1\/5))\/(r\/(r\/(r**(-2\/9)\/r)))**(-17) assuming r is positive.\nAnswer: r**(-938\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*u - 4*p, -5*p - 1163 = 5*u - 1128 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-1 + 1 + 2)*(-x**5 + x**2 - x**2)*(-1 - 5 + 3).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - (sqrt(2016) + -5*sqrt(2016)*2))\/(4*sqrt(288)*-1).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, -29, -0.76, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2015287541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z**2 - 30*z + 2. Let p(y) = -5*y**2 - 10*y + 1. Let t(x) = -6*g(x) + 17*p(x). Let n be t(10). Solve 10 + n = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 360240888.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - u)*(-433*u**3 + 824*u**3 + 631*u**3).\nAnswer: 1022*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/((-8256)\/(-301))*6\/(-63).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*3\/(-18))\/(106\/477).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 e, and 1 c when four letters picked without replacement from {e: 2, c: 2, x: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = -36*z + 204003 + 65409. List the prime factors of z.\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 1911249 + 1911253 - 3822502.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*r**3 - 4 + 3 - 2444*r + 2*r**4 + 2441*r + 2*r**2 to s*r**3 + m*r + f*r**4 + o + p*r**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*o + 2\/9*o**4 + 8\/9*o**3 + 2\/3*o**2.\nAnswer: 2*o**2*(o + 1)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/280 and -69\/28280.\nAnswer: 28280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s. Suppose s = -4*z - 0*z - d + 20, 3*z = 5*d + 38. Solve 3*a - 10 = 5*f, f + 3*a + z = 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3355*g**3 + 88*g**2 - g - 10?\nAnswer: -20130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 5*n**3 + 22*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**7\/6 - 37*z**6\/24 - 13*z**5\/3 - 5*z**4\/2 + 283*z**2. Factor d(m).\nAnswer: -5*m*(m + 2)*(m + 3)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36171 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 44*g = 372. Let s be g*(3\/15)\/((-12)\/30). Put 2, s, 3, 5 in decreasing order.\nAnswer: s, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -76 (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and -1357455491.\nAnswer: -1357455508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*(2 - 3\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 - 96 = 25*o + 66 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 5*x + 13 - 2 + 3 - 4 as m + c*x and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l + 2*c - 0, -4*c + 2 = -2*l. Solve -4*y + l*y = -u - 3, 2*u - 4*y = -2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024 - 998 + 78527*y**2 - 78529*y**2 + 1889.\nAnswer: -2*y**2 - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 21*a - 52. Let h be n(16). What is the greatest common factor of 140 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 21088932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 - 10*a - 1. Suppose -3*i = 4*q - 100, 2*i + 0 = q - 36. What is the remainder when q is divided by m(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59507, 119066, 178721, 238520, 298511, 358742, 419261, 480116?\nAnswer: 541355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*a**4 + a**4 + 2 - 2*a**4 + a + 2*a**2 to the form z*a**2 + n*a**3 + k*a + x*a**4 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let d be l(-6). Let s = d - -8. Solve 0*x - s = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 42*r + 20*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302172379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3\/6 - 3*p**2\/2 + 8*p. Let d(b) = -b - 7. Give 2*d(t) - 5*m(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 22. Let i be 3\/6 - ((-114)\/12 + 2). Suppose 2*a - 8 = 0, -m*n + i*a = 3*a - 415. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/13 + 166*r**2\/13 - 640*r\/13 + 632\/13 = 0.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2 - (2 + -3). Suppose -5*f - 6 = -4*f - 3*p, -3*f - p = -12. What is the second derivative of 0*w**3 + w**a + w**f + w wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/5, 5, -0.2 in increasing order.\nAnswer: -11\/5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**7\/42 - j**6\/5 + j**3\/3 + j**2 + 9*j - 2. Find the second derivative of v(i) wrt i.\nAnswer: -20*i**3 - 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 1938698.5655701.\nAnswer: 1938698.9655701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 + w + 1. Let c(u) = 2*u**3 - 9*u**2 + 11*u + 18. Let m(h) = -3*b(h) + c(h). What is the remainder when m(-13) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.684*0.021.\nAnswer: -0.035364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (675\/(-810))\/(15\/(-234))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-57)\/((-5472)\/(-64))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130898774 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000363748 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 8. Let m be o(7). Let l = 2978 - 2986. What is the closest to 0 in -5, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 minus 10605715?\nAnswer: -10605615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121002232 (base 4) to base 5.\nAnswer: 11240244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12655 (base 10) in base 6?\nAnswer: 134331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 26*d + 52 = 0. What is the remainder when 101 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11.74, -0.5, -0.2, -3\/10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164, 323, 480, 635, 788, 939?\n\"Answer: -r**2 + 162*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -722 + 1508 + 47*m - 927. Let f be x(3). Solve -2 = -s + 3*d, f*s - 3*d = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 240, 273, 328, 411, 528, 685, 888?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxz when three letters picked without replacement from izhiihdxdh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-2))\/(-1 + (-156)\/(-150)). Let z = q - -27. Suppose 490 = -z*s + 7*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 161, 155, 153, 161, 185, 231, 305?\n\"Answer: a**3 - 4*a**2 - a + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 2\/9, 0.3, -36, -0.51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 + 151. Suppose t*w - 3 - 92 = -d, 4*w = -d + 92. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 83 = 12*z - 71 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -15.7. Let y = -0.2 + 0. Which is the smallest value? (a) y (b) p (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -143*j**4\/4 - 2*j**3\/3 - j**2\/2 - 5. Is i(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 105, -4.\nAnswer: -4, -3, 4, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 2*i + 2*i)*(-i - 4*i + 6*i) + (0*i + 13*i - i)*(3*i + 3*i - 3*i) - 3*i**2 + 2*i**2 - 2*i**2 in the form h + c*i**2 + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j + 7. What is q(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/9 - 164*q**3\/9 + 70*q**2 - 52*q = 0. Calculate q.\nAnswer: 0, 1, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-9 - -27) + (17 + -12 - -10))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-70)\/4)*((-378)\/42 + 1808). Is -526 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -19*l**2 + 5*l - 11. Let n(s) = -41*s**2 + 13*s - 23. Let y(r) = -6*n(r) + 13*x(r). Determine y(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Suppose 5*o - 5*b - 239 + 74 = 0, -w*b + 99 = 3*o. Determine i so that o*i - 14*i**2 - 4*i**2 + 3*i**3 + 425 - 443 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 33*w**3 + 2*w**3 + 9*w**3 + 6*w**3 - 3*w**3.\nAnswer: -19*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26385.\nAnswer: 3, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 5. Let k(x) = -x + 4. Let m(a) = 6*k(a) + 5*w(a). Let q be m(3). List the prime factors of 312\/16 + (-2)\/q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 + 2 = 0. Let c = -0.1 - 0.3. What is the closest to j in 0.3, c, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2301441301 - -10?\nAnswer: -2301441241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2904305665*z - 2*z**2 - 2904305665*z + 59.\nAnswer: -2*z**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 13*g - 4. Let b be (-117)\/26*-4*7. Suppose 31*q - 277 = b. Calculate n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 332.42 + -333. Which is the second biggest value? (a) k (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 - 0.04. Let n = -168 + 163. What is the third biggest value in n, u, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94795158 to the nearest integer?\nAnswer: 9736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((119 - -4)\/(-3) - -3) + 2. Let t be (r\/(-10) - (-13 - -16))*1. Is 0.6 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = -l, -11*m + l = -12*m + 12. What is the second derivative of 8 + 4*w**5 + 3 + m*w**4 - 4*w**5 - w - 16*w**4 + 2*w**5 wrt w?\nAnswer: 40*w**3 - 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose 2*i = -80 + 8. Let m = -326\/9 - i. Which is the third biggest value? (a) w (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let o(g) = -g**3 + 2*g**2 - 2*g + 7. Let r be o(2). Suppose b*l - r*l = -252. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/135)\/(2\/9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-6) - (1 + 37). Let n = -37 - l. Suppose n = 2*y + 2*j - 24, -5*j - 2 = -12. Solve 4*d = 2*d + y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:53 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -159231.3 rounded to the nearest one hundred?\nAnswer: -159200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}