diff --git "a/data/dm_maths/full_data_1/1425_11255.jsonl" "b/data/dm_maths/full_data_1/1425_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1425_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate (-29093)\/1457 - 5 - -25.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*u + 5547 = 473*u - 15261. Are u and -873 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1482, -2969, -4458, -5949, -7442, -8937?\nAnswer: -10434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7 = -5. Let j be 1 + -1 - (o + -84). Suppose 228 = 3*y + j. Calculate the remainder when y is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216808688 - 216808688 + d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10638.2416 to the nearest ten.\nAnswer: -10640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3249362155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 69 - 209. What is the greatest common divisor of v and 400?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*16\/(-320))\/((-55)\/(-40)*2)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*b - 125540 + 126884 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*c = 24, 2*c = -5*b + 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105722684*i**5 + i - 146781510?\nAnswer: 2114453680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 + 157. Let y be -5 - 43\/15 - x\/15. Let n(p) = -7*p - 6. Let f(s) = 11*s + 9. Calculate y*n(t) - 5*f(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 286. Let q = 3.02 - 0.02. Which is the second smallest value? (a) k (b) 1 (c) 1\/6 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 178, 131, 4 in ascending order.\nAnswer: -1, 4, 131, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 minus 1060.2?\nAnswer: -1202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001287579 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 38*j + 34*j + 30, -2*j - 13 = -4*v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 13*f - 42*f. Which is the second smallest value? (a) f (b) 0.1 (c) 2\/3 (d) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92129 is divided by 92098?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 - v. Let w be k(1). Let z be 2 - 2574\/w - 6\/12. Is ((-20)\/(-8))\/((-1287)\/z + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -16. Is 28*(u + (-316)\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 179*p**9\/42 - 183*p**5\/4 + p**3\/3 + 21*p**2 - 3*p - 35. What is the third derivative of d(r) wrt r?\nAnswer: 257760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-6) + 4\/12. Suppose -4*c + 48 = 4*w, y*w - 5*c - 6 = -2*c. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66, -77, -90, -105, -122, -141?\n\"Answer: -n**2 - 8*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 - 10870*b**3 + 274160*b**2 - 1573130*b - 1858155 = 0.\nAnswer: -2199, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 3645. Suppose 127 + y = 2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o - 5. Let b be 1\/o + (-196)\/(-32). Suppose 2*a + r + 99 = b*a, 0 = -5*a - 2*r + 140. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -50.6\nAnswer: -58.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 7, 14, 23, 34, 47, 62?\n\"Answer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 31*q + 132. Give x(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 318452059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000193017 rounded to seven dps?\nAnswer: 0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 694, 2489?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 10880424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47082657383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 521\/7 + -520\/7. What is the fourth biggest value in -0.1, g, -5, 156?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 2*f + (-87634 - 83795 + 166682)*(-3 - f + 3))*(-2*f**2 - f**2 + 5*f**2).\nAnswer: 9496*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/b*b*b**4*(b**(-2))**23 assuming b is positive.\nAnswer: b**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135 plus 23544?\nAnswer: 23543.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5954.415 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32 - 29175\/(-900))*18\/(-20). Let f(p) = p**3 - 7*p**2 + 5*p + 7. Let t be f(6). Let u = -2 + t. Sort d, u, -26.\nAnswer: -26, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -3) + -638 + 659 + 1 + (42 - 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*h = -83*h - 274. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/((-735)\/(-186) - 4). Suppose -t + 1012 - 313 = 4*v, -4*t + n = v. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-171)\/(-19)) - 27\/(-90).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*x - 377*x - 350*x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 - 44 - 38 + 15*t**3 - 5*t**3 - 1.\nAnswer: 18*t**3 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5593*s - 1760*s + 5375*s + 5803*s + 1268*s as m*s + a and give m.\nAnswer: 16279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15221 + -15030. What is the closest to 0.1 in -1, m, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686201799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let n be (72\/(-32))\/(3\/8). Let g(r) = -r**2 - 3*r - 14. Let s be g(n). Let b = -28 - s. What is a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114510 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21*1)\/(4180\/133 - 31)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**2 + 44*p - 9. Let s(o) = 12*o**2 - 65*o + 13. What is -7*f(g) - 5*s(g)?\nAnswer: -4*g**2 + 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/108 and -59\/120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 0.3, 0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:16 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*j - 40*j - 2595 - 285 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 20*p**2 + 21*p - 5. Let n be d(-21). Suppose 18*f - 13*f - 5 = 0. Let o be f\/(n - (-164)\/32). Put o, -2, -4, 5 in ascending order.\nAnswer: -4, -2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2*(-1)\/(-2). Let i be (-2)\/22*j - 0. Let w = 0.1 - -0.1. What is the nearest to w in i, 0, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -1\/3*r**3 + 0*r**4 - 3\/20*r**5 + 0 - 13*r + 0*r**2. Find the second derivative of c(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 - 4*j - 4. Calculate a(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44 (b) 4 (c) 8\/5 (d) 5 (e) 14 (f) 18\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -de - 2?\nAnswer: -e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 41434320100?\nAnswer: 41434320033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (-7 - -3)) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/(i\/((i\/i**(-2))\/i*i)*i)*(i**(-5))**(-39) assuming i is positive.\nAnswer: i**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q + 8 + 2. Sort q, -11, -4, 5 in ascending order.\nAnswer: -11, -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 18396319641?\nAnswer: 18396319640.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) -18\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/30)\/((-150)\/(-250)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.168 * 0.3.\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10108.3 - -10676. Let t = o + -567. Which is the smallest value? (a) t (b) -3 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387111002?\nAnswer: 2, 61, 523, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2521332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/(-792))\/(10\/9)*1*92?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -84826799 divided by 1\nAnswer: -84826799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 102495*n - 8 + 7 + 4.\nAnswer: -102495*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.196 and -1?\nAnswer: 0.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 786700404 + -786700418.10000114. Let r = -14.1 - u. What is r rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 - -353. Which is bigger: 0.04 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1\/7 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -29*g - 782. Calculate the smallest common multiple of r(-27) and 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 398193 and 663655.\nAnswer: 1990965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 222 - (-8)\/((-32)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 56 = -2*o, -3*p + 9 = -3*o - 63. Suppose 0 = 5*a + 4*q - 34 - p, -4*a = 5*q - 39. Let j = -4 - -6. What is the greatest common divisor of a and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306608 is divided by 306595.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72356 = 4959*w + 2095*w + 67285 - 284143 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*w + 75 = 194*w. Suppose 2*i - 3*u - 6 = i, -i - 5*u = 10. Let z(y) = -y**2 + y + 3. What is the least common multiple of w and z(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2365528*k**3*z**3 - 1229*k**2*z**2 - 846*k*z**3 wrt k?\nAnswer: 14193168*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 39. Let q be i(-9). Suppose q*c - 2*c = 5. Solve u - 25 = -r + 5*u, 0 = r - c*u - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 518, 5\/2, -0.3, -1\/3 in increasing order.\nAnswer: -1\/3, -0.3, 5\/2, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*p + 6, 2*u - 13 = -5*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 21794.472 minutes?\nAnswer: 2.16215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -48. Let a(k) = 27*k**2 - 5*k - 5. Is 9 a factor of a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83432455 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622674950 is divided by 1219?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -151635 (base 8) in base 16?\nAnswer: -d39d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 + 33534*z**3 + 49291*z**2 wrt z?\nAnswer: -240*z**3 + 201204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:57 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 31*q**2 + 60*q - 122. What is the remainder when c(2) is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 33*j**2 + 33*j + 228. Let c be t(-13). Suppose -c = 14*k - 35*k. Calculate the remainder when k is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11993176291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4, -5*q - 5*o + 13 = 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 2\/17, 8, -117, -0.3, -3\/4?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z. What is the second derivative of z*o**4 + 3*o**4 + 0*o - 3*o + o wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -12*b**3 - 59740*b**2 - 11871076*b - 3950388 = 0.\nAnswer: -4771, -207, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = 0, -3*v - 3*r = -6*v. Suppose -v*t = -4 - 6. Solve -4*b - 5*f - 30 = 0, -b + 5*f = t*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - (-3 - (-1 - 1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:07 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c - -ff18?\nAnswer: fe9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.034.\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 3*i + 4. Let n be -3 - (17\/(-1))\/1. Let f(k) = -26*k - 4*k**2 + 15*k + n*k + 5. Give -5*f(j) + 6*p(j).\nAnswer: 2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.03, -0.1, 60\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 13*y - 33. Determine h(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199564 divided by -549891?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937572876?\nAnswer: 2, 3, 647, 40253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.58 - 2.42. Sort k, 0.03, -1\/10 in descending order.\nAnswer: 0.03, -1\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/3*((-6)\/(-12) + 1). Let y = 12 - n. Calculate the remainder when y is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/55 and 67\/154825.\nAnswer: 154825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 141 = -429. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11058565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365.\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 16 = -2*p. Let b(v) = 4*v - 17. Let j be b(p). Calculate the greatest common divisor of j and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3846.2859 + -3841. What is t rounded to 1 dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 1011011100010111?\nAnswer: 1011011100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/117 - (-14)\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 166684322 divided by 7\nAnswer: 23812046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*k = 13 + 18, 4*j + 4*k + 28 = 0. What is the fourth biggest value in 53, 5, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 157*r. Let i(c) = 12*c**2. Calculate i(t(q)).\nAnswer: 295788*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5\/5 - 989076*j**4\/5 - 593442*j**3 - 2967204*j**2\/5 - 989067*j\/5.\nAnswer: -3*j*(j + 1)**3*(j + 329689)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 46*d - 1277. Give z(23).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -731?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -76, -5, -4 in increasing order.\nAnswer: -76, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -65, -99, -133?\n\"Answer: -34*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 45 + 239*p**2 - 26 in the form v + h*p + i*p**2 and give i.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v + 65000. Let m be j(0). Round m to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 23.7, -4 in descending order.\nAnswer: 23.7, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*q**3 - q**2 - 1215*q*r + 2*q - 1454594*r wrt q.\nAnswer: -489*q**2 - 2*q - 1215*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**3 + 12*w**2 - 8*w - 15. Let q(k) = -2*k**3 - k**2 - k. Let d(f) = p(f) + 3*q(f). Calculate d(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 115, -2, -2\/5, -25 in descending order.\nAnswer: 115, 0.4, -2\/5, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10944 and 57.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11982.\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 168 = -3*v. Calculate the common denominator of v*((-8)\/416)\/((-6)\/(-56)) and -91\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**3 + 217*z**2 + 9*z - 484. Let n be j(-27). Let b(u) = -17*u + 14. Give b(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 382*j + 616. Let d be c(-5). Is d at most as big as -1293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 7 - 25. Suppose 6*q = 10*q + r. List the prime factors of (-9)\/(-8)*q*-36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 0.011 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-20))\/(18\/6)*45\/(-4).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -p + 118. Let g = -81 - p. Solve 5*z - 3*q + 3 = -q, -g*q = -z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3710, -3535, -3350, -3155?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 668, 0.3, -6 in descending order.\nAnswer: 668, 10, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12954.8 - -14090. Let f = j - 1022. Let r = f + -124. What is r rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65662700993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(68\/((-5168)\/(-4598)))\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33796)\/211225*3\/4?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46252 less than or equal to -4.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:24 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 3:50 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (432\/(-1476))\/((-27)\/9)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1268, 1223, 1176, 1127, 1076?\n\"Answer: -u**2 - 42*u + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - n**3 - n**3 + (2 - 2 - 2*n)*(5 - 5 + 2*n**2) + 2*n**3 + 2*n**3 - 6*n**3 + (n**2 + n**2 + 0*n**2)*(-2*n + 4*n + 0*n) - n**2 + 6*n**3 + n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -21. Suppose 5*u = -51 + w. Let o(h) = 2*h - 9. Let d(i) = -6*i + 21. Let b(m) = 3*m - 10. Let y(l) = -5*b(l) - 3*d(l). Give u*o(t) + 5*y(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 280110063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78.28 - 28.7. Round a to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - 5*i - 7. Let h(u) = -u**2 - u - 1. Suppose -5*o - 9 = -5*t - 4, -2*o + t = -3. Let r(n) = o*h(n) - z(n). What is the tens digit of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let j(x) = 2*x**2 - 346*x. Calculate j(d(o)).\nAnswer: 8*o**2 - 692*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1351701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*19452\/21073*26\/(-44)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 3*c**2 - 4*c - 12. Let h be 3 + 1 - ((-12 - -8) + 13). What is w(h)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488032 (base 9) in base 8?\nAnswer: -1077221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321304219 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 718, 2439, 5794, 11329, 19590, 31123?\n\"Answer: 91*b**3 - 2*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84773?\nAnswer: 13, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*k - 69 + 43. Solve -4 = k*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400 + 402. Suppose 15*o - x*o = -5*o. Solve 0*k - 4*k = 4*i + 32, o = -5*i + 4*k + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1008*6\/(-159) + 2868\/(-159) + 18\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + -3204?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 571516.74\nAnswer: -1714550.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 1. Let f(t) = -t. Calculate 4*f(i) - 2*l(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -60, -91?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/65 (b) 2\/397 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -387*r + 9 - 1 + 54*r - 4247*r**5 - 10 - 703*r wrt r.\nAnswer: -84940*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-26)*(-33)\/((-4455)\/351)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/407 (b) 3 (c) -1 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/3666 and -127\/1416.\nAnswer: 865176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -3*t + 22309, 6165 = 5*t + 2*p - 30942. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -8.7, 0.13, 4, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*b + 8 = 3*b, -3*b = -3. Let d be (-1)\/((-12)\/45)*4. What is the second derivative of -3*i + d*i**4 + 3*i + m*i + 3*i wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 10*j**2 + 10*j + 13. Let v be d(11). Suppose 3*k = k + 38. Let c = v + k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/21, 64\/13 in increasing order.\nAnswer: 4\/21, 0.5, 64\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 10:43 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/3 + 7924*f**2\/3 - 3920396*f\/3 - 3928324\/3.\nAnswer: -4*(f - 991)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -13, -2, 91 in ascending order.\nAnswer: -13, -2, 3, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 4944 = 2*m - 12*y, -3*y = -3*m + 7356. Is m 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 xxx when three letters picked without replacement from aaxakxaaxaaa?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5, 0 in descending order.\nAnswer: 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0641 times 1134\nAnswer: 72.6894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 27, 5\/2, -53.4 in descending order.\nAnswer: 27, 5\/2, 2, -0.4, -53.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 - ((-378)\/15)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-34)\/68)\/(1\/(-8728)*-1) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108158505955963\/13689923178570 - -420\/406349753. Let d = 2\/3369 - i. Let w = 6841 - 136729\/20. Calculate the common denominator of d and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0503 and 2491?\nAnswer: -125.2973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 348. Let y = 40314374121 - 40314373821.99999827. Let x = n + y. What is x rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -28*h - 370. Let f(w) = -75*w - 999. Let r(v) = 10*f(v) - 27*q(v). Let b(s) = -675*s**2. Give b(r(j)).\nAnswer: -24300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1323 - 1318. Which is the closest to 2? (a) 2 (b) m (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n**2 + 3*n - 2. Let y(s) = -2*s**3 + s**2 - 3*s - 3. Let l be y(-1). Determine j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 13*r**4 + 11 + 12*r**4 - r**3 + r**3 - 2*r**3 in the form v + x*r + u*r**3 + j*r**4 + l*r**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16163 times -32.5?\nAnswer: 37.752975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/19 (b) -2\/7 (c) -3\/2 (d) -73\/5 (e) 1\/2 (f) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 2, e: 1, y: 3}. Give prob of picking 1 q and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f**2 - 35*f - 5. Let c(l) = -35*l**2 - 89*l - 12. Let m(b) = 5*c(b) - 13*r(b). Let v(t) = -2*t. Calculate v(m(k)).\nAnswer: -14*k**2 - 20*k - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-83 + 84665\/1003)*(-1)\/(-4)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 5*j + 3*j**3)*(-2*j - 1 + 4*j + j).\nAnswer: 9*j**4 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.99. Let u = 0.64 + k. Let y = u - -9.95. What is y rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 3.015\nAnswer: 18.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 5379?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 t when three letters picked without replacement from ttxxxci?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (24 + -2 + -9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-3 + 3 - 1)*(-1 + 0 + 3)*(71233 - 71233 + 299*i).\nAnswer: 598*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 - 6*a + 6*a)*(3 + 24*a - 2*a - 14*a) as z*a**2 + q*a**3 + p + o*a + j*a**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 586074 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddhdhhddd. Give prob of sequence dhhh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26620, 26619, 26618, 26617, 26616, 26615?\nAnswer: 26614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 29*v - 298. Let m be c(-20). Let g = m - -978. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52008 and 55.\nAnswer: 260040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - o**2 - 30*o - 49. Let t be j(-2). Let z(f) = -f - 2. Let w be z(7). Let m = t - w. Is 0 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102546, -205094, -307642, -410190, -512738?\nAnswer: -615286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asee when four letters picked without replacement from saeaaeaeeaaaasaa?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (188299*d + 13471 + 13471 - 40410 + 13468 + 7138*d)*(d + d - d) as x + l*d + y*d**2 and give y.\nAnswer: 195437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 19*b**2 - 32*b + 11. Determine j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-12) - (-1)\/24*-16. Which is the fourth biggest value? (a) -5 (b) l (c) -0.088 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -17. Let p be 3\/6*(y + 2 - -131). What is the highest common divisor of 36 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -866*o**5\/5 - o**4\/4 - 2507*o - 3769. Differentiate g(q) with respect to q.\nAnswer: -3464*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -2?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - b = 67, 2*w + 3*w - 3*b + 59 = 0. Let t(r) = -r - 4. Is t(w) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 9*l - 234. Find the third derivative of -l*z**5 + 8081*z**3 - 8081*z**3 + 90*z**2 wrt z.\nAnswer: -1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11285777, 11285775, 11285773, 11285771, 11285769, 11285767?\n\"Answer: -2*l + 11285779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 - 28876.8?\nAnswer: -29384.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163\/6 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 - 2734 = 5*w + q, 2*q + 1686 = -4*w. Let b = -427 - w. Put b, -1, -5, 0 in increasing order.\nAnswer: -5, b, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1963.841m?\nAnswer: 1963841000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 5:13 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-464)\/24)\/2)\/((-2)\/(-30)). Let o be 44\/20 + 87\/v. Determine y, given that -18\/5*y**2 + 2\/5*y**4 + 22\/5*y + 2\/5*y**3 - o = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/5))**(-49)\/(s**10\/((s\/(s\/((((s*(s*s**(1\/4))\/s*s*s)\/s*s*s)\/s)\/s)))\/s)))**(16\/5) assuming s is positive.\nAnswer: s**(4004\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-4) + -1)*4. Suppose -k*y = -4*y - 34. Let w = 21 - 9. Calculate the remainder when y is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -190031, -380036, -570031, -760010, -949967, -1139896, -1329791?\n\"Answer: t**3 - t**2 - 190009*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -38. Let c(q) = 17*q**3 + 3*q**2 + 6*q + 7. Let l(f) = -f**2 - 1. Let s(p) = w*l(p) - c(p). Is s(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14320 - 10495. Is 75 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x + 2. Suppose w + 15 = -4*w. Does 10 divide j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 3, -6.\nAnswer: -21, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -1, 3, -3, -5, -181 in descending order.\nAnswer: 3, 2, -1, -3, -5, -8, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12207029 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1008) + 1)*-4 + 2 + (6*1*sqrt(1008)*-4)**2.\nAnswer: -48*sqrt(7) + 580606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-35)*3\/18. What is the closest to 0 in 2, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 2*b - 4. Let c be m(-3). Calculate the highest common factor of 55 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197 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: b\"What is the cth term of -80, -676, -2302, -5474, -10708, -18520, -29426?\n\"Answer: -86*c**3 + c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -3*j**8\/28 - j**5\/30 - 7*j**4\/6 + 4*j**2 - 17. What is the third derivative of q(g) wrt g?\nAnswer: -2160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -111. Suppose 2*g + 46 = 256. Calculate the highest common factor of g and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34.02? (a) 4 (b) -1\/4 (c) -2 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181478 is divided by 3570?\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 403 = -30*t. Let q = 619 - t. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:35 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 17*c**2 + 30*c + 5. Let o be h(15). Suppose -3*m = -3*l - 3636, -o*m - 3*l + 6020 = -0*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29952.4687 - 29986.3735142. Let m = 0.0959458 - g. Let c = m - 34. What is c rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*14 - 2. Let q be (23 - 35)*(-4 - ((-22)\/12 - 2)). Factor 2\/3*j**3 + 2\/9*j**q + 2\/3*j**4 + 0 + 2\/9*j**h + 0*j.\nAnswer: 2*j**2*(j + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 7*j**2 - j + 8. Let f = 15 - 8. Let z be v(f). Let t be -1 - (z + -2 + 1). Which is greater: -2\/5 or t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 + 5*x + 5. Let m(t) = -3*t**2 - 3*t - 3. Let r be (-120)\/36*3\/2. Give r*m(c) - 3*q(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 + 201. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819432 is divided by 9294.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 1, f: 1, t: 1}. Give prob of sequence qyf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 8*u - 8*u. Suppose u*o = 4*o. Does 6 divide (-3 + 0 - o) + (-31 - -88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9299 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -503\/96, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o + o = 0. Suppose o = 5*l, 2*l - 2 = -4*f + 50. Suppose 4*j + 10 = 3*r, r + 4 = 7*j - 2*j. Calculate the remainder when f is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 708 or 707?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735009894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - 18. Let t = -69 - g. Put 4, t, -0.03, 2 in decreasing order.\nAnswer: 4, 2, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 0*l**2 + 2*l**2 - 28 - l + 12*l. Let s be u(4). Suppose 0 = -4*p + s + 24. Calculate the highest common factor of p and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-32) + (-130)\/(-16). Suppose 0*z - g*z + 944 = 0. Is z a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:59 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11295 (b) 2\/69 (c) 11 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -250, 1326, 3 in descending order.\nAnswer: 1326, 3, -1, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*c**4\/3 - 66428*c**3 - 2270882*c**2\/3 - 2283856*c - 796680 = 0. What is c?\nAnswer: -19917, -6, -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 3:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:00 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3 + 7 + 4*f + 0. Calculate the remainder when y(6) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7856388*n**3 + 1941829*n**2 - n + 1.\nAnswer: -47138328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:10 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-2*3 + sqrt(1100)*-2 + -2)**2.\nAnswer: 104*sqrt(11) + 7440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crprdrrhdrcrhir. Give prob of sequence cch.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*1)\/((1*sqrt(864) - sqrt(864)) + sqrt(864)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o**2 - 53*o - 1. Determine y(6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-4 - -12 - -4) + 10 + -5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u - 40 + 40)*(-2 + 2 - 1) + (134 - 134 + 27*u)*(1 - 4 + 2).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -20*i - 3. Let n(x) = -x. Let d(w) = 4*n(w) - y(w). Is d(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/2 (b) 1 (c) 6 (d) -1661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39112, -80907, -122702, -164497?\nAnswer: -206292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -48. Put 3, 1, -4, d in decreasing order.\nAnswer: d, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 274? (a) -3\/4 (b) -0.5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-48) + 207\/(-120)*(-2250)\/108.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 15\/(-10)*(-4 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 6*n + 5 + 0*n**2 - 4 + n. Let l be t(7). Solve -5*o + l = 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Let z(x) = 4 + 7 - 6*x**2 - 11. Calculate g(z(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1672 + -795. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211416 divided by -20?\nAnswer: 302854\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d - 15. Let u be n(7). Suppose -2*q + 2*j + 22 = -u, 2 = 2*j. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 272653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 0.33. Let y = -2\/363 + -700\/4719. Put y, -5, d in descending order.\nAnswer: y, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 255 + -448. Let c be 2 + 2\/1 + t. Let y = -89 - c. What is the highest common divisor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 30*s - 3. Calculate the remainder when t(2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 827 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 44 = 4*p + s, -2*p - 2*s = -20. Is (-16 - -1)*p\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 16*l = -3*p + 27, 2*l = -2*p + 38 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*n = 63*n + 11739. What are the prime factors of n?\nAnswer: 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -280279\nAnswer: -33633.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 704\/5 + 2\/10. Let u(m) = -m**2 - 6. Let n be u(-4). Let b = n + d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22815 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from forrxun. What is prob of sequence rur?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.5 + 11. Let a = -0.589 + 26.589. Let z = a - c. Round z to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3961)\/(-476) - 6)*(9\/15 - -1).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**11)**(2\/151)\/(a**(14\/3)*a*a**38) assuming a is positive.\nAnswer: a**(-19841\/453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-5)\/(140\/24)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i**2 - 11*i**5 + 6*i**2 - 17*i**5 + 48*i**4 - 16*i + 44*i**3 + 0*i**5 = 0.\nAnswer: -1, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10 = -q. Let g be (216\/(-20))\/((-3)\/q). Suppose 7*k - g = 4*k. What is the greatest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33, 106, 227, 396, 613, 878, 1191?\n\"Answer: 24*a**2 + a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2042506728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 79*x - 23. Let m be s(26). Suppose z - 327 = -2*z + m*d, 2*d = 5*z - 530. Calculate the greatest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -1. Let o(g) be the third derivative of g**5\/30 + g**4\/8 - g**3\/6 - 4*g**2. What is the units digit of o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txlr when four letters picked without replacement from {t: 1, l: 1, r: 1, x: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/1 - -3) + (-2100)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057068 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c + 5*c + 2*c + 3 - c - 3 - 4 - c + 4 + (3 - 2*c - 3)*(3 + 0 - 1).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049097183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-18)\/(-4 + 15\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*a**(1\/5)*a**4\/(a\/(a\/(a*a**(3\/8)))*a) assuming a is positive.\nAnswer: a**(273\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 37582 = 17*r + 4635. Does 45 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37629 or -37627?\nAnswer: -37629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.662 * 5\nAnswer: 3.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 460\/(-24)*(-92)\/(-20). Let t = 89 + z. Which is the smallest value? (a) t (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + s)*(-2*s + s + 2*s) + 22*s + 11*s**2 - 22*s + 4*s**2 - 2*s**2 + 0*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (57\/(-17))\/(55 - 52) + 1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -170, -366, -636, -980?\n\"Answer: -37*j**2 - 11*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 140*-3983945\nAnswer: -557752300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 162. Let d = -379\/4 - f. Put 0.1, -2, d in descending order.\nAnswer: 0.1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 63 + 56 - 224 + 60 + 45.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*w + 24 = 0, -k - 3*w = -w - 2. Let m(u) = -u**2 - 8*u + 3. Give m(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -217 in 1\/3, -3\/2, 2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:02 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*y - 210, 2*y + r - 7 = 74. What is the remainder when 207 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*c - 31435 = 11125 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6847738, -13695479, -20543220, -27390961, -34238702?\nAnswer: -41086443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + 2*x - 3. Let h be z(1). Let d = 6 - h. Differentiate -10*r**d + 0*r**3 - 15 - 2*r**3 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -331*i**4\/2 - 330*i + 623. What is the first derivative of h(a) wrt a?\nAnswer: -1986*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1540 + -585. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 5*l + 7. Suppose 2 = -5*c - 18, -4*w + 80 = -5*c. Calculate the remainder when h(-9) is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69\/109 - -2887\/4905. What is the second smallest value in 1, k, -0.2, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -565a - 3?\nAnswer: -5660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t + 150. Let y be m(-10). Let b(n) = n**2 - 3*n + 3. Let d be b(4). Suppose -8*h + d*h = -4. Solve y = -3*f + 3*j + 2, h*f = -j - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, 0.3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*k + 90 = -143*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 4*f**2 + 4. Let r be t(-4). Let d(k) = 6*k - 1. What is the remainder when d(r) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*h - 2*h - 88 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21333615624 and -55.\nAnswer: -21333615679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -3*y**2\/2 - 15*y - 1076. Determine c(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0 - 13 - 6)*((0 - 4 + 6)*(-3 + 5 - 5) - 10 + 2 - 9).\nAnswer: 23*o**2 + 437","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63535*u**2 - 21*u**3 + 19*u**3 + 73075*u**2 + 75220*u**2.\nAnswer: -2*u**3 + 84760*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -58. Suppose 2*u - 111 = q, u + q = -q + 43. What is the remainder when u is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 13*o + 11. Let a be i(9). Suppose -y + 49 = a. What is the third derivative of -17*h**2 + 5*h**2 - 17*h**y + 44*h**3 wrt h?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*k*n**3 + 3268333*k*n**2 - 35*k*n - 102*n**4 - 421*n**3 wrt n?\nAnswer: 1890*k - 2448*n - 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67656973 to the power of 1\/2, to the nearest integer?\nAnswer: 8225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w + 50. What is a(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 176828?\nAnswer: 884140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/74 at most -42\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1849208349 and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5 + 0*w + 0*w - w. Let t(u) = 3. Let q = -1109 - -1114. What is q*t(m) - 3*y(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*n - 22. Let j = 5 + n. Let a(b) be the first derivative of b**4\/4 + b**3 - 2*b**2 - 2*b - 1. Calculate a(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.1, 5, -77, -5\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -28 (b) -0.3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -386.\nAnswer: 111\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.085538 centuries?\nAnswer: 6102.6456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2233182970665\/264212 + 8452239. Let g = 2625474671\/2377908 - a. Let l = -3299\/3 + g. What is the common denominator of l and 53\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001012212100 (base 3) to base 13\nAnswer: -165a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23327628 + 14123492. Let t = c + 9204146.000026. Let w = t - 10. What is w rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 92.4408 and -1018970.56?\nAnswer: 1019063.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from qeeeeeecyeeecege.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -50.05. Let p = x - -0.05. What is the smallest value in p, -3\/5, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**26*h)\/h)**20*(h**14*h)**(-18))**48 assuming h is positive.\nAnswer: h**13920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, 125, -2, -0.195, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 25. What is the units digit of k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -151, -285, -403, -499, -567, -601, -595, -543?\n\"Answer: q**3 + 2*q**2 - 147*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180958 is divided by 11853.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o - 78 + 2*o + 87 as s*o + l and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 52*i + 174. Give d(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4 and -119\/10536.\nAnswer: 10536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*f + 2234, 5*f + 1669 = c + 2*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 495583744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 19750*p**2 - 19748*p**2 + 1.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329764408 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/26 and ((-3)\/(-132))\/((-1)\/(-178)).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 5. Let b be h(-3). Let k(n) = 2*n - 1. Let m be k(b). Suppose m*y = 5*y + 8. Sort y, 0, 5 in increasing order.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**3 - 11*n**2. Let y(z) = -7*z**3 - 6*z**2. Let j = 16 - 5. Suppose -3*s - 7 = j. Determine s*t(b) + 11*y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 503*m**7\/210 - m**5\/60 - 5*m**4\/6 - m**2 - 105*m. What is the third derivative of a(p) wrt p?\nAnswer: 12072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*h + 44, -h + 0*h - 4*r + 32 = 0. Suppose -w = q + 2, -h = 2*q + 2*q. Find the third derivative of -13*u**6 + 9*u**6 - 18*u**6 + 17*u**w wrt u.\nAnswer: -2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 44*j + 13. Let d be (-4)\/14 - 621\/(-189). Let f be w(d). Let a be -3 + f\/80 + 1. Is a < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 + 11*l**2 - l + 4. Let x(u) = -7*u**3 - 12*u**2 + u - 5. Let y(m) = 6*v(m) + 5*x(m). Give y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 110.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 10)*(-2)\/(-14). Sort i, -0.4, 2.\nAnswer: -0.4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 7*o**2 + 3*o + 2. Let j(a) = -a**2 + a. Let r(f) = 5*j(f) - y(f). Let q be r(2). What are the prime factors of 11\/q*(2 - 226)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11159 - 3.\nAnswer: 11156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1679, 9, -4 in decreasing order.\nAnswer: 9, -0.1679, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007483 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, l: 1, s: 5}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2*g + 5*g)*(2 - 3 + 3)*(1 - 6 + 4)*(-10 + 21 - 13) to the form b*g + j and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1 (b) -0.2 (c) 42 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11315 - 5?\nAnswer: -11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269024552.\nAnswer: 2, 4423, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d (base 16) to base 10.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 - 11*y**2 - y + 1. Let p(n) = -2*n**3 + 6*n**2 + n. Suppose -2*g = -4*g - 10. Let l(x) = g*p(x) - 3*u(x). Calculate l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i + 1. Let t be 762 - -2 - (0 + i). Suppose -4*y + t = 311. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/3 + 185*q**2\/3 - 142*q\/3 - 47\/3.\nAnswer: (q - 1)*(q + 47)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6806, 27220, 61258, 108932, 170254, 245236?\n\"Answer: 2*l**3 + 6800*l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97331*p**5 + 4889*p + 2?\nAnswer: -1946620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*c + 166*c - 880 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 12 + r**2 + 12. Let j(q) = -10*q**2. Calculate i(j(l)).\nAnswer: 200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -825136 by -4.\nAnswer: 206284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/4 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 2, e: 1, m: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 14. Let p be h(-14). Suppose p = -7*i + 4*i + 45. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g. Let a(t) = 208*t + 215*t - 414*t. What is r(a(j))?\nAnswer: 54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(-14)\/((-56)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004829 rounded to four dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 184*v**2 + 8. Give x(92).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -6, -2, 4, 12, 22, 34?\n\"Answer: m**2 - m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -35*n**4\/8 + 27*n**3\/2 - 183*n**2. Differentiate z(f) wrt f.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/3 + (-21)\/6)*4. Let t be (-81)\/231 + u\/7. Let m = 81\/110 + t. Are m and 0.9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 43 (b) 5\/6 (c) -364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - (7 + (1 - 8))) + (8 - -4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20\/((-5580)\/(-125767)) - (-2)\/9 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/12*(-8)\/(-2). Suppose 2*q = 2*h + 4, 0 = 4*q + r*h - 1 + 7. Is 0.4 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200960069 divided by -5.\nAnswer: 200960069\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-10)*(451425\/(-84266))\/(10\/6)?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/11 + 1182288*v\/11 + 174725614368\/11 = 0.\nAnswer: -295572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (3 - 4) - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 188767048 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2956*u**2 + 520*u**2 - 665*u**2 as l*u**2 + r*u + v and give l.\nAnswer: -3101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.37 (c) 3\/8 (d) -1\/4 (e) -105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.89 - -2.8. Which is the closest to l? (a) -2 (b) -0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116*-0.05\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2050614 and 11164454?\nAnswer: 100480086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40796 = 40797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/28)\/(6\/132). Let v be 682\/(-42) - (0 + -2). Let k = i + v. Which is the biggest value? (a) -1 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.024?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20331916.\nAnswer: 2, 11, 167, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 - 6*q + 3. What is the units digit of i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from qzmqbcqccmcc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w. Suppose 5*z - x = 19, -1 + 3 = 2*x. Suppose w = -g + 3 + z. What is the lowest common multiple of 6 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -23*l**5\/4 + 5*l**4\/6 - 2*l**3 - 173*l**2 + l - 4637. Find the second derivative of o(k) wrt k.\nAnswer: -690*k + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2442*f**2 + 302804*f - 496 = 0.\nAnswer: -124, 2\/1221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -23 - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7585*t**2 - 604*t - 30. Let b(l) = 7592*l**2 + 603*l + 24. Let q(w) = -5*b(w) - 4*g(w). What is the second derivative of q(n) wrt n?\nAnswer: -15240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504442 is divided by 2776?\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/12 - 33*c**2. Let z(r) = -13*r. Determine z(i(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 5*f = 19, 5*n - 3*f + 16 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594053 is divided by 162.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3407 or -37491\/11?\nAnswer: -3407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -11833?\nAnswer: 5916.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*z - 3*j + 26, 5*z - 2*j = 183. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 55*b**2. Let j(w) = 61*w. What is o(j(q))?\nAnswer: 204655*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/24 + 31\/8. Find the common denominator of i and -11\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59970528 by -1249386.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -189901445060 to the nearest one million.\nAnswer: -189901000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h. Let w(u) be the second derivative of 0*u**3 + 0*u**2 - 11*u + 0 + 11\/12*u**4. What is w(y(m))?\nAnswer: 176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9681*d**2*j + 2*d*j - 41*d + 2*j - 1 wrt d?\nAnswer: 19362*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 120 = 3*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647696519 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: What is the hundreds digit of 8361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = 24*m - 79*m + 3400. What is the remainder when 173 is divided by m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 8 = w, -v + 4*v = 2*w + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (23 + 65 - 74).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.60000086 + 0.6. Round l to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**8)**(-42) assuming c is positive.\nAnswer: c**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 50072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7879 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75030 (base 8) in base 10?\nAnswer: 31256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvvy when four letters picked without replacement from {y: 1, c: 1, e: 4, v: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3064 - -14237667\nAnswer: 14240731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 10}. Give prob of picking 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*t - 12776 - 2290 = 74*t. Let h = -3 + 11. Calculate the remainder when t is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*h + 22, -2*x + 1 = 5*h - 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -91 + 60 - 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 10. Let g be l(19). Differentiate -20 + 104 + 19*h**3 - g - 66 wrt h.\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/3313 (b) -54 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883526 to the power of 1\/2, to the nearest integer?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)*-5 - 3. Suppose -o - 9 = -m*o. Solve 0 = -3*s - 3*i - o, 5*s + 15 = 2*i + i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 21443?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuz when three letters picked without replacement from zuuz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 9. Let c(j) = -6*j + 45. Let t(h) = -2*c(h) + 11*q(h). What is the remainder when (-74)\/(-3) + (-2)\/(-6) is divided by t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19833127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*n + 126, -5*l - 2*n = 2*n - 630. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + j - 2. Let w(b) = -4*b**2 + b - 3. Give -5*s(f) + 3*w(f).\nAnswer: -2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/18 + (440\/48)\/55)\/(-18)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 12 + 31)*(-4*o**3 + 3*o**3 + 3*o**3).\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {b: 1, i: 2, g: 1, w: 11, d: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5593, -9526, -13463, -17404, -21349?\nAnswer: -25298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 17*g**2 + 6*g - 6. Let t be p(17). Calculate the greatest common factor of 24 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82687 (base 12) to base 6.\nAnswer: -3352251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 12:41 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005671694 to seven decimal places.\nAnswer: -0.0000567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 12 - 13)*(3*y + y**2 - 3*y) in the form z + c*y**2 + f*y and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 != -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 208562.\nAnswer: -83424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 423.655 - 4.855. What is l rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10825546 is divided by 826.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 3. Let s be g(-3). Let f = -6 + 10. Suppose -w + 3*q + 30 = 0, -5*w + f*q - q + 186 = s. What is the greatest common factor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -2*d**3 + 5*d**2\/2 - 7444*d. Determine q(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 49 - 39)*(-t**2 + 0*t + 0*t) to v*t**2 + y + m*t and give v.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**(-2\/3))\/d))**(-43))**(-43) assuming d is positive.\nAnswer: d**(1849\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 * 210.\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 11*w**2 + 10*w + 125. Let b be a(-10). What is the third derivative of 175*k**3 - 155*k**2 + k + b*k**2 - 2 + 2 wrt k?\nAnswer: 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 3*l**2 + 692 + 2*l**2 - 691 + 6*l**2 to j*l**3 + b*l + t*l**2 + f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.73 + -2.73. Which is the smallest value? (a) 0.5 (b) m (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2824 by 6.\nAnswer: 1412\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 8*i - 9. Let p be y(6). Let t(q) be the first derivative of 3 - 1\/2*q**2 + 2*q. Calculate t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 2 = 3*v + 4*g, 4*v = g - 7. Let y = v + 11. Which is bigger: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((12\/16)\/(-3))*(2163\/(-588))\/103.\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1251343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 34*w**2 - 16*w. Let m(c) = -17*c**2 + 8*c. Determine 3*g(p) + 7*m(p).\nAnswer: -17*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 + -167. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - q - 300 + 102, 0 = -5*a + 5*q + 190. Let x = a + -26. Calculate the least common multiple of x and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156430152 - 90837.\nAnswer: 156339315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 - 7*f + 1. Let d(c) = -6*c**2 + 6*c - 1. Let j(t) = -5*d(t) - 4*o(t). Let q be j(1). Put q, 1, 0 in descending order.\nAnswer: q, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 - i + 98*i**4 - 202 - 86 + 0*i - 11 wrt i.\nAnswer: 392*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40128 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 + 19 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 114.6562.\nAnswer: 11.46562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 25589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2387 - 2395 - 2386 + 9584 - 2*k - 2399.\nAnswer: -2*k + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*f + 12 = 0, x = 3*x + 3*f - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000276 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 2*u**2 - 12*u. Let c(d) = d**3 + 3*d**2 - 13*d. What is -5*b(x) + 4*c(x)?\nAnswer: -x**3 + 2*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9998 - 9998 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 74, 76, 78, 80?\n\"Answer: 2*p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - v**3 + 5*v**3 + 169*v**3 + 0*v**3 - 5*v**3 + (2*v - 2 + 2)*(-2*v**2 - 3*v**2 + 4*v**2) + 2*v + 3*v**3 - 2*v + 3 - 2*v**3 - 3.\nAnswer: 166*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -6) + -14 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 197 = -56*m, 0 = 4*b + 46 - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*l - 1742 - 1866. Calculate the greatest common factor of 319 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -75\/8 (b) -4\/3 (c) -0.1 (d) -6\/11 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9981 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q + 3*v + 36, 3*q - 3*v = 55 - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 53599998 = 5*i, i + 3*c - 15483622 = -4763636. Let f be i\/(-8) - (5 + (-19)\/4). Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -132, -206, -294, -402, -536, -702?\n\"Answer: -d**3 + 2*d**2 - 65*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 19.3. Let s = i - 0.6. Let w = 0.7 - s. Which is the third biggest value? (a) w (b) -2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c - 69. What is v(-22)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 25*g + 111. Let i be w(28). Suppose 2*p + 25 = i. Solve -2*a + 4*o = -11 + p, a = 4*o + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -960*l**2 + 1280*l**2 - 2 + 2 as g + n*l**2 + a*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1162)\/1245)\/(2\/30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 8*y - 98430 = 4*y. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332 and 89972.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/8)\/7*10\/45?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14919372 and 994.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 474*p + 11. Let s(d) = -d - 13. Give -c(a) - s(a).\nAnswer: -473*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -19*p**3 - 42*p**2 - 37*p + 98. Let x(k) = -12*k**3 - 28*k**2 - 24*k + 65. Let h(u) = -5*i(u) + 8*x(u). Calculate h(-13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.988 + -0.012. Let b = 0.0712 + -22.0712. Let d = k - b. What is the nearest to 2\/3 in d, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + p + q + 12 = 0, 0 = -3*p - 5*q + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 94 - 17*k + 47.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 + 16*a**2 - 209*a + 21. Let i be d(-15). Solve -4*c + i = -l + 2, -2 = -2*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79535 and -0.5?\nAnswer: 39767.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-72) + (-5 - 86\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246849.9 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 8*t. Suppose -4*v - 5*b = -3, -5 - 8 = -5*v + 3*b. Solve t = v*x - 5*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104261 (base 8) in base 3?\nAnswer: -1210000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 9. Let b(o) = 5*o**2 + o - 19. Let n(x) = 3*b(x) + 7*d(x). Suppose -r + 12 = -4*r. Does 10 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 22. Let m be u(-7). What is the closest to -0.07 in m, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 28*q**2 - 28*q + 39. Let z be g(27). Suppose -4*m + 11 + z = -3*b, -4*b + 5*m = 32. Sort 0, b, -2 in increasing order.\nAnswer: b, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5 - 25. Solve 4*k - h + 5 - 20 = 0, 0 = -5*k + t*h + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + u + 104, 23*x - 26*x - 2*u + 78 = 0. Let h = 43 + 9. What is the greatest common factor of x and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o + 50. Is -10 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 10*g + 16. Let k be c(-8). Find b such that -b + k + 7*b**2 - 49\/4*b**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 - 3*m - 3. Let a(i) be the first derivative of 4*i**3\/3 + 2*i**2 + 3*i - 1055. Determine -3*a(r) - 4*x(r).\nAnswer: 4*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 914 + 3984 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1961399, -3922798, -5884197, -7845596?\nAnswer: -9806995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7850, 7967, 8084, 8201, 8318?\n\"Answer: 117*a + 7733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16f2e2 + 0?\nAnswer: 16f2e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -39. Let h(d) = d**2 - 12*d + 29. Let m be h(q). Calculate the common denominator of m\/3 - (-741)\/(-18) and 113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331 - 21513?\nAnswer: -20142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**2 - 11. Let q(r) = -9 + 2*r**2 - 6*r**2 + 13. Determine 3*j(f) + 8*q(f).\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50525\/8 + -6316. Which is the nearest to 13? (a) 1 (b) 15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.91? (a) 2 (b) -4.6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6900*t + 3452*t + 3449*t + 212*t**2 as c*t + j + h*t**2 and give h.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137726?\nAnswer: 2, 68863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4287 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 + -996?\nAnswer: -9c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 6*r + r + 20, -2*a - 5*r = -20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2*h - 4. Let g be s(3). Let y(w) = 7*w**2 + w + 1. Let t = 2 + 0. Calculate the lowest common multiple of t and y(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/6 (c) -0.1 (d) 29 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147951060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-30))\/(10\/225*-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-2 + 4)\/10). What is the remainder when 32\/3 - 2\/(-6) is divided by 2 + 2 + (-10)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-420) + 4\/(-10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 9*v**2 - 3*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 27 in descending order.\nAnswer: 27, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 231*o**2 + o - 2. Give l(1).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1870 + -1874. Let t(x) be the second derivative of -x**4\/12 - x**3\/3 + 3*x**2\/2 + x. What is t(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + z. Suppose 4*o - 7 = -3. Let f be v(o). Suppose f = 9*i - 5*i - 80. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03472 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 347, 0, -5, -1\/6, -6\/11, 4?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47.1 * -107900.\nAnswer: -5082090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose 1 - 10 = -n*q. Suppose -3*d = 2*o - 11 + 1, -q*o - 2*d + 15 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/50)\/((-1)\/(-5)). Suppose -u*o = -5*i + 9, 0*i - 4*o - 4 = -4*i. Suppose -i*w = -2*w + v - 4, -5*w = -4*v - 2. Solve 0*m - w = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29147 in 15, 1, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 1 - 47*p**2 + 47*p**2 - 5.\nAnswer: 8*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + ((sqrt(15) + sqrt(1215)*-1)\/sqrt(3) - (1 + -3*(sqrt(5) + 1))))*-3)**2.\nAnswer: -180*sqrt(5) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1237605 and 255.\nAnswer: 21039285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 7*w**2 + 6*w - 11. Let n be z(-8). Suppose -6*l - 3*h = -2*l - 31, -5*h + n = 0. Factor -7*x + 2*x**5 + x**5 + 6*x**4 + l*x.\nAnswer: 3*x**4*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 63 (c) 0.2 (d) -2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 11. Suppose -b*t + 400 = 16. Suppose 5*d = d + t. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10 - 10 - a**2 + 2*a + 15*a. Suppose -85 = -i - 4*i + 2*h, 5*h + 55 = 2*i. What are the prime factors of g(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112283000782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 1. Let t(v) = 9*v**3 - v**2 + v - 1. Calculate -5*q(a) + 3*t(a).\nAnswer: 7*a**3 - 3*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -0.3267647?\nAnswer: -0.0267647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 + -24.6527815441?\nAnswer: -26.0527815441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let i = 46.6 - 55.52. Let p = i - -9. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -23. Let x = -0.1 + -1.9. What is the nearest to -0.1 in x, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let n(r) = -r - 4. Determine -n(b) + 2*z(b).\nAnswer: -b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10548.75 and -0.4.\nAnswer: -4219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 18 + 688*b + 9 + 8 to the form c*b + y and give c.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 73 + 18 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 2*q)*(-1 + 2*q + 1) - 67 + 6*q**2 + 15*q**2 - 20*q**2.\nAnswer: -q**2 - 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/65 + 121\/455. Let x = 9 - 9.8. Let t = x - -0.88. Which is the third biggest value? (a) -1\/3 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/4 - 2) + 2\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:50 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 15*z**2 - 2*z + 5. Let g be 30\/(-105) - 428\/(-28). What is s(g)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 39?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 + -189. Is f greater than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/9 - 10*c**3\/9 + 10*c**2\/9 + 10*c\/9 - 4\/3 = 0. Calculate c.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from hhhfffwfhfhhffffwf?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 23*y + 19753 = 4*v, -32896 = -5*y - 3*v. Is y a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*s - 4. Suppose 2*v + s*l = -13, -3*l + 2 = 5*v + 6. Let c(z) = z**2 + 27*z - 26. Let q be c(-28). Solve 2*p + 5 = 3*w + q, w + 2*p - v = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3248575725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 303434?\nAnswer: 303324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 22164482*m**3\/7 + 8577707798*m**2\/7 + 20613200*m\/7 + 12384\/7 = 0.\nAnswer: -387, -4\/3329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345*d = -4*m - 1346*d + 23, -48 = -9*m - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccccccccccccccczz.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*q - 272 = -32. Solve 2*g - q*g = -4, 9 = -i + 2*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 29 - 85. What is the highest common divisor of 154 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9177 and 1264431.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/(-232)*(-20)\/(-75).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -14) + (-1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -705*g**2 + 154 + 706*g**2 - 154. Let o(y) = -5*y**2 - 218. Calculate o(b(p)).\nAnswer: -5*p**4 - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r + 9. Suppose 20 = 3*f - r. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 2. Let r be y(2). Suppose -6*g + g - 2*k = -126, r = 2*g + 3*k - 46. What is the remainder when g is divided by 18\/(-30) + 106\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 4*h + 12*d = 18, 3*d + 6 = -0*d + 4*d + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 982, 1965, 2948?\n\"Answer: 983*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7*i - 4. Let l be y(8). What is the lowest common multiple of 5 and ((-3)\/((-9)\/l))\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-117)\/3)\/(-3) - (-21)\/7. Suppose 4*h = -3*o + 37, 0 = -4*h - 11*o + v*o + 45. What is the smallest common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 36.\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-11808)*-18*-3*(-1)\/(-9)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-1)\/(-5))\/((155\/620)\/(15\/36)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.29 rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 5*t**2 - 6*t. Let g be d(-3). Suppose -5*i + 75 = -g*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -896 divided by 8?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 1.1. What is the nearest to 1\/4 in 2\/7, z, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let o = m + -2. Let k be -4*(-3 + (-14)\/(-8)). Solve -8 = 2*f - 3*c + k, o = -5*f + 2*c - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436945329?\nAnswer: 3, 23, 2110847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(8\/3)*p*p**(-13)\/p*p\/p**(-9) assuming p is positive.\nAnswer: p**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3224*c + 32233. Give b(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1823 + 1823 - 3646 + 2*b. Let g(r) = -1167*r. Give s(g(w)).\nAnswer: -2334*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888470088.\nAnswer: 2, 236058761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 14*u**2 + 146*u + 84. Let q be b(24). Calculate the greatest common divisor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 15\/(-9))*(4 - 7). Suppose m*a + 744 = 4*z, 0*z = 3*z + 2*a - 551. Suppose 2*p + z = 4*n - 105, 5*p + 165 = 2*n. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9014716 milligrams in nanograms?\nAnswer: 901471.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s - 17. Let q be f(-2). Suppose q*l + 0 = -0. Which is the nearest to -6? (a) -2\/7 (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 28, -74.9, -4, 3, -45, 2\/15 in decreasing order.\nAnswer: 28, 3, 2\/15, 0, -4, -45, -74.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5411 divided by 24.\nAnswer: -5411\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**3 - 4*k**2 - 8. Let d(u) = -5*u**3 + 4*u**2 + 7. Let p(m) = -7*d(m) - 6*j(m). Let b = -14 + 10. Let v be p(b). Put 5, 0, v in decreasing order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1065, 1 in descending order.\nAnswer: 1065, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4 - 388601*t**3 - 37751712785*t**2 + 188765947409*t - 226521934854 = 0?\nAnswer: -194303, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmt when three letters picked without replacement from {t: 9, g: 1, z: 4, f: 1, m: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/6 + 3\/9. Find the second derivative of -2*o**4 + 0*o**4 - 3*o + f*o**4 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5\/6, 0.01, -4, 3, -5.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -6*d**3\/11 + 1148*d**2\/11 - 3766*d\/11 + 1128\/11 = 0.\nAnswer: 1\/3, 3, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -344 divided by 5\nAnswer: -344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 165. Let r = 926 + -758. Let n = r - b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/6))\/d**(-3\/2))\/(d**(-2))**3 assuming d is positive.\nAnswer: d**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3 + 229*n**4 - 6*n**4 - 5*n**3 + 6*n - 239*n**2 wrt n?\nAnswer: 5352*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 4*o = 0. Suppose 4*z + 3*b - 7*b - 408 = o, 2*b + 301 = 3*z. Suppose -k + z - 41 = 0. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.06, -0.9840367 in descending order.\nAnswer: 1\/5, -0.06, -0.9840367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10853090 is divided by 3320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -47, -5, -2 in increasing order.\nAnswer: -47, -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*c + 29 = 2*p + 187*c, 0 = 5*p - 3*c - 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -13*t + 15*t. Which is smaller: t or -32?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 172*p + 348.\nAnswer: -(p - 174)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-52)\/24))\/((322\/4025)\/(27\/75))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 29. Let c = -35 - -34.976. Let x = -0.124 - c. Is x not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4 - 14*f**3 - 65*f**2 - 100*f = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 1\/3*o**3 - 15 - 15*o - 9\/2*o**2. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167688127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1256440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2058624107.2 + -335.\nAnswer: -2058624442.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -680, -1027, -1378, -1733, -2092?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-16) + 1\/4. Let d = -7 + 12. Solve a*o - 2 = -d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315464869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -50. Let q = 68.8 + n. Sort q, 2\/13, -22, -0.3 in descending order.\nAnswer: 2\/13, q, -0.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-70)\/20)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 526 + -1576\/3. What is h in -8\/9*h + 8\/9 - p*h**2 = 0?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/74)\/((-12)\/33).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {n: 2, w: 1, m: 1, y: 4, d: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 5) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000407257421 rounded to 7 decimal places?\nAnswer: -0.0000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (18 - 35) - 3 - (11 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 200 = 5*y, 0 = 11*y - 15*y + 6*z + 160. Calculate the greatest common divisor of y and 4220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bovc when four letters picked without replacement from bjbvobbbvojjboceejv?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11439, -19285, -27135, -34989, -42847, -50709, -58575?\n\"Answer: -2*y**2 - 7840*y - 3597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.75 - -59. Round d to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*g - 18, -a - g + 319 - 323 = 0. Is a at least as big as 4\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukuukkukokkouuk. What is prob of picking 2 k and 2 u?\nAnswer: 63\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zssasszzzasaqaar. Give prob of sequence rs.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b + 267*b = 1 + 157 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -211001021200?\nAnswer: 211001021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1567059 and 897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g - 47*g + 9 - 9 = 59*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 3*h + h - h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -74?\nAnswer: -15\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6dd66 - -a?\nAnswer: -6dd5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 3, z: 1, u: 4}. Give prob of picking 1 e, 1 x, and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 7 = y, 90*y - 3*p + 3 = 93*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3229595073106 less than -3?\nAnswer: -5.3229595073106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2342308b + -5?\nAnswer: -23423092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36 + 0 - (-4 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55932822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzzzjzlzzljtzjz. What is prob of picking 1 t and 1 z?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9052 = 29*n - 2693. Calculate the highest common factor of 675 and n.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221920 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26083088, -26083089, -26083090?\nAnswer: -26083091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205572, -206278, -206984, -207690?\nAnswer: -208396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31168 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303 + -1521\/5. Let r = -1 + 1. Is r >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 24*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**2 + 6*u**2 + 9*u**2)*(2 + 6*u - 2*u - u).\nAnswer: 18*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-2\/17))\/g**(-6))\/(g*g\/g**(2\/5)*g**0))\/((g\/(g*g**(2\/9)))\/(g*(g*g**3)\/g)*(g**0)**(-2\/65)) assuming g is positive.\nAnswer: g**(8036\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1237406628*z + 786254916.\nAnswer: -1237406628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1270567*a**3*q - 2513519*q wrt a?\nAnswer: 3811701*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i + d - 5*d, 4*i - 8 = d. Suppose i*c - 46 = -6. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 - (-44 + 36)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202968 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/3, -0.57?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/22 and 45\/2654.\nAnswer: 29194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 59069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -12859478\nAnswer: -8\/6429739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -32. Let t = 11 + f. Solve h + 3*d + 14 = 0, 5*h + t*d = -8 - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*((-8)\/(-3))\/((-30)\/(-45))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-225*u + 111*u + 1 + 119*u - 31*u**2)*((-2 + 2 + 3*u)*(3*u**2 - 2*u**2 - 2*u**2) + (-1 - u**2 + 1)*(-u + 2*u - 2*u) + 0*u**3 - 4*u**3 + 2*u**3).\nAnswer: 124*u**5 - 20*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 871 - -1323. Suppose 4*k + 3632 = 3*o + 2*o, -3*o - 5*k + w = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33530 less than -9.7?\nAnswer: 33520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -361*y**5\/5 + 33*y**2 + 486. Find the second derivative of v(k) wrt k.\nAnswer: -4332*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k. Let f(q) = 2*q**2 - 420*q. Let a(c) = f(c) + 3*p(c). Let y(x) = 4*x**2. Calculate a(y(u)).\nAnswer: -16*u**4 - 1608*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m - 30*m - 38*m + 102*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:47 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/15 + 8464*f**3\/3 + 5642*f**2 - 8464*f\/3 - 84632\/15 = 0.\nAnswer: -21158, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2199 - 2195. Solve -m - 11 = 4*u, x*m - 2*u + 4*u = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1001 - -10023\/10. Suppose -5*r + 4 = 2*d - 4, -3*d + 12 = -4*r. Suppose -a + 0*a + 34 = r. Find the common denominator of y and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-97)\/(-4))\/((-7)\/(-364)). Suppose 6*m = 19*m - j. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.8559 micrometers in millimeters?\nAnswer: 0.5908559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 2 + 2)*((1 - 3 + 0)*(-4 - j + 4) - 2*j + 3*j + 0*j + (5 + 1 - 4)*(-17*j + 46*j - 12*j)) to t*j**2 + b + w*j and give t.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 + 5. Let c(b) = -77*b**2 - 56. Let s(f) = 5*c(f) + 56*n(f). Let h(q) = q**2. What is h(s(k))?\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -34?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/3 - -17. Let w(f) be the first derivative of 0*f**2 + 0*f - h*f**3 - 9 + 3\/4*f**4. Find the third derivative of w(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09967 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/145*29 + 33.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 40*n - 86. Let a be x(6). Suppose 0 = -32*d + a + 38. Factor -15\/2*w**2 - 3\/2*w**3 - 12*w - d.\nAnswer: -3*(w + 1)*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 + 1. Let r be i(6). Suppose m = -4*d - 3 + r, 3 = 3*d. Suppose 25 = -7*f + 2*f. Is f smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -930*t**2 - 3*t - 17. Let z(d) = -371*d**2 - d - 8. Let b(y) = 2*c(y) - 5*z(y). Let a(q) = -q**2 + 1. Calculate -22*a(r) + 4*b(r).\nAnswer: 2*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 342442769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 8*d + 7. Is m(5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 82. Let u = t + -29. Let d = 19 - u. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 9*k**2 - 3*k**2)*(k - 2*k - k) + 0*k**3 + k**3 + 0*k**3 + 31*k - 76*k - 1 + 4*k**3 - 16*k**2 + 45*k.\nAnswer: 37*k**3 - 16*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvwvvwwwvvvgvwvgw. What is prob of picking 2 g?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 12 - 5*v**4 + 1 - 3*v**3 + 2*v**4 in the form h*v**3 + b*v**4 + o*v + u + z*v**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.37 - 1.37. What is the nearest to 2\/5 in -3\/5, -2, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(2) - sqrt(2)) + 5)*1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -191, -212, -251, -314, -407?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4012310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y - 2. Let o be t(2). Let j be 6\/o - 4\/(-6). Let n = 14 + j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 31\/6 - (-395)\/2730\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15915077 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 108\/((-12)\/3)*16\/(-24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112\/3 + 2\/9*x**3 + 28\/9*x**2 - 310\/9*x = 0. What is x?\nAnswer: -21, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gal when three letters picked without replacement from glynlav.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -0.2. Let s be (-6)\/(-18) - 3\/63. Sort t, s, -1 in descending order.\nAnswer: t, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = x - 3*x + 10, -3*x + 2*o + 27 = 0. Let n = x - 9. Let m be 29090\/30 - n\/(-6). What is m rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196528 is divided by 2727?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5956 to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 23*t**2 - 3*t - 40. Let u be l(10). Differentiate 49*r + u + 131*r - 9*r wrt r.\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/660538 and 17\/772970.\nAnswer: 36329590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.06 + 4.06. Let o = 49 + -74. What is the closest to l in 1, 0.4, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 15333*v**2\/5 + 10613463*v - 8955087365.\nAnswer: (v - 697)*(v + 8015)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + (-1)\/(-2). Let v(n) be the second derivative of n**4\/6 - 3*n**3\/2 - 5*n**2 - 8*n. Let p be v(5). What is the closest to o in p, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + 18 + 25 - 4) + 3 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000042 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 24. Suppose 20 = 4*y + y. Suppose 3*a + 101 = -3*m + 5, -70 = 2*a + y*m. List the prime factors of t(a).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-103200)\/(-27) - 4\/18. Let r = -2080 + j. Let h = r + -742. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*h + 192*h - 115*h + 270*h - 22*h.\nAnswer: 507*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {k: 1, q: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 469 (b) -1\/3 (c) 0.015 (d) 91\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130605*k**3 + 123540*k.\nAnswer: 783630*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - 4*f)*(5*f - 6 + 6).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/100 + z**4\/60 + 13*z. Factor r(m).\nAnswer: m**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -30, -109, -262, -513, -886, -1405?\n\"Answer: -4*x**3 - x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*o**2 - o - 14 - 45*o**2 - 12*o**2 + (1 - 1 + 2*o**2)*(0 + 1 - 3) to a*o + r + f*o**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, h: 2}. What is prob of picking 2 e and 2 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*-5*(-36)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237 - -254. Solve s*q = 18*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -5, 52, -4, 1, 13 in decreasing order.\nAnswer: 163, 52, 13, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = 0. Suppose z*y + 2 = -2*y. Let x = 387\/40 - 54\/5. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381010 and 2765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2 + 3408*v + 10251 = 0?\nAnswer: -3, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*89.9\nAnswer: 359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 4*u - 5*u = 3*s - 22*u - 207, 2*u = 3*s - 196 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 22625557, -3 in increasing order.\nAnswer: -3, -2, 22625557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4\/3*q - 28\/3*q**2 + 4\/3*q**4 - 4\/3*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggd when four letters picked without replacement from {d: 2, g: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 35*j**3 - j**2 + 7*j - 5. Let f be t(1). Calculate the greatest common factor of f and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r**2 - 21*r**2 + 7*r**2. Let s(j) = 6*j**2. Calculate s(q(u)).\nAnswer: 54*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 2*z + (-3 - 3 + 3)*(-28*z + 21*z - 37*z)*(1 + 5 - 5) to the form h*z + p and give h.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -46, -71?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-10)*d*d)\/(d*(d\/(d*d\/(d*d*(d*(d**(-3\/4)\/d)\/d)\/d*d)))\/d)*d*d\/d**9*d**(-15))**(1\/21))**(-3\/16) assuming d is positive.\nAnswer: d**(117\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 2*t - 1. Suppose 0 = -2*j + 5 + 1. Let m be s(j). Suppose -i = 5*r + 16, 3*i + r - 2*r = m. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*o - 70, 0 = i - o + 4*o - 18. Let z be 5\/i*-3*-4. Suppose -z*y + 257 = -153. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 431. Let p = -77 - x. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**2 - 11*l**2 - 4*l**3 - 2*l**2 + 4*l**4 + 4*l.\nAnswer: 4*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzrz when four letters picked without replacement from {l: 4, p: 2, z: 3, r: 2, m: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/435721 and -17\/154364067.\nAnswer: 1698004737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-64))\/(237\/474)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 588743591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2953233171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0.029059.\nAnswer: -18.970941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*h**3 + 25*a**3 - 13*a**2*h**3 - a**2 - 2*h**3 wrt a?\nAnswer: 18*h**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -9 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -136. Let y(w) = -2*w - 5. Calculate the lowest common multiple of t and y(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8058408 - 0.108.\nAnswer: 8058407.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:00 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132077 - 33679543\/255. Let d = 2\/51 + l. Solve 2\/5*x**2 - d*x**3 + 4\/5*x + 0 = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1000 + 23?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59316.04 + -0.3.\nAnswer: 59315.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36054028601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -7, 584 in increasing order.\nAnswer: -7, 12, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - q = 104, 4*q + 78 = 3*m + 2*q. Suppose -m = -3*t + 10. Let y be (3 + (-27)\/t)\/((-6)\/(-16)). Solve -3*j = -3*l + 6, 3*j + y*l + 20 = -2*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -5, 4, 3 in descending order.\nAnswer: 4, 3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29435*c**4 - 66642*c**3 - 16207*c**2 - 1344*c - 36 = 0. Calculate c.\nAnswer: -2, -3\/29, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0865008 decades?\nAnswer: 0.00865008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -23.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 91554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*m**4*n*q - 303663*m**3*q + 117947*m**2*n*q + 65*m**2*n + 3*m**2 - n*q wrt m?\nAnswer: -1536*m*n*q - 1821978*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/32)\/((-4)\/(-3))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2 - (-1 - -1)). Let v = -5 + m. Is (-107)\/(-4) + v\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3038 rounded to two dps?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - -1*sqrt(133)*2)\/sqrt(7) + -2.\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microsecond in nanoseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 11*d**2 - 12*d**2 - 54*d + 32*d**2 - 11*d**2 in the form c*d**2 + j + m*d and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 107 = 2*r. Let u(l) = -27*l - 281. Let m(i) = 27*i + 275. Let k(h) = 4*m(h) + 5*u(h). Let t be k(-10). Is t < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -95 and 167003?\nAnswer: -15865285","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 14\/21*(-1)\/(-2)*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1219*n*v**4 + 5*n*v**3 + 23*n*v**2 + 3529*n - v**3 wrt v.\nAnswer: 29256*n*v + 30*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1966*j - 1969*j + 17 = q, -6*q + 15 = -4*q + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(176) + -3 + -5)**2.\nAnswer: -257 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 1461515.\nAnswer: 1461515.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -304900 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -148*m**2 + 53*m + 321. What is the hundreds digit of p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -5e?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**3 + 11*n**3 - 12*n**3 + 12*n**3.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*v + 76*v. Factor 2\/13*f**3 + 0*f + v*f**2 + 0.\nAnswer: 2*f**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 2. Suppose b + 49 = 7*h - r*h, 0 = -3*h - 5*b + 7. What is the lowest common multiple of 4 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-14 + 19 - (1 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-15)*(3 + 0\/(-8)). Is -3\/4562 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 + 1761992*j**3 + 194038488004*j**2 = 0. Calculate j.\nAnswer: -220249, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 8)\/((-6)\/4). Suppose -2*w + 19 = g + o*w, 5*w - 24 = -g. Let m = g - -14. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 1790322*t**4 - 801315006241*t**3 + 1602624641520*t**2 - 801311425600*t.\nAnswer: -t*(t - 895160)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and -0.2.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9301 - 3?\nAnswer: -9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -571\/4 + 142. Let j = -160 - -157. Which is the nearest to -0.1? (a) y (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2451542mg?\nAnswer: 0.0000000002451542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2151, -2032, -1833, -1554, -1195, -756, -237?\n\"Answer: 40*n**2 - n - 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 10*a + 450. Let q(h) = 2*h**2 - 5*h - 1. Determine m(s) + 2*q(s).\nAnswer: 2*s**2 + 448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -844530 rounded to the nearest 10000?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -5*k, 2*k = 5*a - 1 - 2. Let v be -3 + (-1)\/1 + -1. Let b = -1 - v. Solve 0 = -i - b + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6666 and 2794.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105291, -101528, -97765, -94002, -90239, -86476?\nAnswer: -82713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 12*w - 151 + 49 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-4))\/((-2)\/(-8)). Let g = -7 - x. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 47*a**3\/3 - a**2\/2 - 18. Does 21 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 13*x - 16. What is m(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0 = 10. Let l be (-5)\/5*1\/g*-2. Let m(t) = -12*t. Determine m(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 36. Calculate q(22).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341031 (base 5) in base 9?\nAnswer: -65313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5484820940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -49*r**6\/90 + 77*r**5\/45 - 16*r**4\/9 + 8*r**3\/9 + 3*r**2. Factor g(t).\nAnswer: -4*(t - 1)*(7*t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.18 to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 308541883 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31343 - 5\/15*3. Let j = 1629855\/52 - x. Calculate the common denominator of 83\/8 and j.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279056387 to the nearest integer?\nAnswer: 16705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1414 + 1415. What is the fourth biggest value in v, 0.2, -1\/2, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {c: 18, w: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let x be 7 - (2\/(-2) - 1). Let z(c) = 3*c - 2. Let g be z(3). Let k(y) = -g*y - 2*y + 2*y - x*y. Calculate n(k(q)).\nAnswer: 256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*x + 418*x + 10892 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0.28 (b) -5 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - k. Let w(g) = 14*g**2 - 21*g. Let n(o) = w(o) + 3*y(o). What is the second derivative of n(r) wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 397371282 divided by -12934\nAnswer: -30723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -29\/3*d + 7\/3 + 4\/3*d**2 = 0.\nAnswer: 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952826566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/324 and 49\/15.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1162443 - 513?\nAnswer: -1163256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664925, -664662, -664399, -664136, -663873, -663610?\nAnswer: -663347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.108?\nAnswer: -0.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1386099 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2 + 2*h**4 + 5*h - 127*h**3 - 116*h**3 + 258*h**3 wrt h.\nAnswer: 48*h + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2845, -2800, -2723, -2614, -2473, -2300, -2095?\nAnswer: -1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 2*b + 100. Let j be i(0). Let y be 2 - (2\/1 - -64). Let a = j + y. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 8*v**2 - 8*v + 9. Suppose -281 = -o + 2*n, 0 = -3*o - 2*n + 6*n + 835. Let z = o - 280. Calculate p(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 531.2934 - -1285256.\nAnswer: 1285787.2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.072 + 31.072. Let f = -31.0002 + b. Round f to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*o - 95*o + 1464 = 55*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*l**2*t**2*y + 5*l**2*t**2 + 4*l*t**2*y + 2*l*t**2 - 2*l*y wrt l?\nAnswer: -24*t**2*y + 10*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m - 48. What is the third biggest value in -0.5, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = -17. Does 11 divide -9*w\/108 - 1316\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -17*x**2 - 3 - 91\/6*x**3 + 0*x - 1\/3*x**4. Find the first derivative of w(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 72, 93, 124?\n\"Answer: 5*u**2 - 4*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217799548523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/350691837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 - 2*p**3 + 19*p**2 - 37. What are the prime factors of y(-11)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -7. Let a(q) = q**2 - 6*q - 7. Let n be a(9). Let l = n - 16. What is the highest common factor of f and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24492071?\nAnswer: 653, 37507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = q + 47, 26*r + 5*q = 24*r + 7. Solve -5*a + r = -v, 4*v - 16 = 4*a - 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -8. Suppose 2*d - 3*d + 2 = 0. Suppose -4*r = 4*s - 32 - 0, -5*s + 5*r + 70 = 0. Solve f = -5*b - s, f - d = b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h = 61*h + 52 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/37519 and -4\/306773.\nAnswer: 5215141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0 + 0*x + 5\/24*x**6 + 0*x**3 + 36*x**2 + 0*x**4 - 1\/15*x**5. Find the third derivative of b(q) wrt q.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18.8 (b) 2 (c) 5 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 6) to base 13.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5592 - -5588. Which is the smallest value? (a) -3 (b) -0.24 (c) 2\/15 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/77, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 32*h + h + 7*h**2 + 68 - 4*h**2. Let q be i(-33). Let r = -57 - -229\/4. Which is the closest to r? (a) 2\/7 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950651 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 16*l**2 + 13*l + 56. List the prime factors of q(-21).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183428423 to the power of 1\/2, to the nearest integer?\nAnswer: 34401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**5\/15 + 11*u**4\/12 - 10*u**3\/9 - 130. Factor g(q).\nAnswer: -q**2*(q - 10)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1069, 13, -4 in descending order.\nAnswer: 1069, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1125 and 500238\/445 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 988?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-924)\/84)\/((-2)\/(-4)*-1). Let x(n) = -2*n + v - 15*n**2 + 169*n**3 - 8 - 168*n**3. Calculate x(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -859 - 859 + 1722 - 4*k**2 + 2*k + 0*k**2 + k**2. Let q(p) = p**3 - p + 1. Calculate l(y) + 2*q(y).\nAnswer: 2*y**3 - 3*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 39*z + 6*z as u + w*z and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 2045*q**3 - 2146*q**3 + 5)*(-q + 1 - 1)*(-2 + 1 + 0) + 0*q**4 - 2*q**4 + 0*q**4 in the form w*q**4 + s*q + p*q**2 + n + d*q**3 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.43532 - 83.\nAnswer: -81.56468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53751, 53756, 53765, 53778, 53795, 53816?\nAnswer: 53841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 121662987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6710 divided by 5\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3253*y**2 - 5799*y**2 + 557*y**2.\nAnswer: -1989*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717450057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) 2\/9 (b) -1\/2 (c) 1\/3 (d) 3\/37 (e) -1 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iidiiddjjijjdjjjijdi. What is prob of picking 1 i and 3 d?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let d be v(6). Which is the closest to 1? (a) -1\/3 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 920005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.01 + 0.11. Let r = 577.1 + -577. What is the closest to w in -3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.17596 or 0?\nAnswer: 0.17596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 978 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42762119\/10 - 4270265. Let u = w + -5955. Let a = -2508 - -25191\/10. Calculate the common denominator of a and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/8)\/((-383)\/10724). Put -1, -2, i, -5 in descending order.\nAnswer: i, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-693106\nAnswer: 4158636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 8*s**3 - 3*s**2 + 3*s**3 - 10*s**3 as b + x*s + l*s**3 + v*s**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124362 is divided by 3760?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -540 - 6972. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 - 38. Let j(g) = 2*g**2 + g + 21. What is -5*j(v) - 2*n(v)?\nAnswer: -2*v**2 - 5*v - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -19. Is 148\/((-11 + 3)\/r) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38732 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207 + -206.8. Let m = -61 - -58. Which is the closest to r? (a) 2 (b) m (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)*f**(-2\/3))**46 assuming f is positive.\nAnswer: f**(-782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Solve -15 = l + s*l, -n + l = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*6\/75)\/(56\/(-28)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -9, 2, 48 in decreasing order.\nAnswer: 48, 7, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -114*l**3 + 6*l**2 - 12*l - 22. What is h(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -109b + -1786?\nAnswer: -2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 0 - (4 + -3). Let i be o\/14 + 18\/14. Is 10 a factor of ((-68)\/(-24))\/(i\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -3*r, -1 = 5*n + 3*r - 11. Suppose -2*p = -6*p + 92. What is the first derivative of 14 - 7*m**n - p + 3*m**2 wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6*i)*(-4*i - 3*i + 3*i) - 206 - 51 + 2*i**2 + 121 + (2*i**2 + 3*i - 3*i)*(0 - 1 - 1).\nAnswer: -26*i**2 - 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 936*c - 4707. Calculate v(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162\/2*(4 - 35\/(-3)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:45 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 7*o + 10. Let h(l) = -l**3 - 11*l**2 + 26*l + 5. Let m be h(-13). Let d be a(m). Solve d = -4*c + 5 - 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Suppose -y*k = 8*m - 4*m - 76, -5*k = 5*m - 80. Suppose 1 + k = b. What is the greatest common divisor of b and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)\/(l*l**(-2\/3)\/l*l*l*l)*l*l**(-5\/3)*l*l*l\/(l*l**(-7)*l)*l*l assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - q**2. Let j(v) = -v**2 + 16*v - 1 + 5*v - 4*v. Let a(w) = -310*w + 637. Let k be a(2). Let g be j(k). Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211155.\nAnswer: 3, 5, 7, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 116549 = 147451. Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144957957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - 4896c?\nAnswer: -48931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 841.8 - 827. Let v = 0.7 - 15.7. Let o = v + r. What is the third biggest value in 1, 5, o, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-12) - (-250)\/(-375)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.1 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -41*j**3 + 5*j**2 + 12*j - 10. Does 7 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 + 1 + i + i**2 - 7*i**2 - 3 to k*i + v + a*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2367934 (base 10) to base 12\nAnswer: 9623ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 202 + 1030 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1880525 + 28?\nAnswer: -1880486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-3984)\/5229).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 1)*(-3)\/3. Suppose 0 = -o - 5*z - 13, v = o + 3*o + z. Is 0 - (-32 - (-2)\/o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -22. Let o(g) = -g**3 + 8*g**2 - 3*g + 14. What is the units digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(327\/109)*(-18)\/(-4)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/360 + 7*t**5\/60 - 106*t**2. Factor j(w).\nAnswer: -w**2*(w - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 9, r: 1, d: 7}. Give prob of picking 2 d and 2 y.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 2803.\nAnswer: 400829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16626 - 0?\nAnswer: 16626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 - 143550*p**2 - 9023805*p = 0 for p.\nAnswer: -28647, -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 9720?\nAnswer: -9720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 9:09 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.01 (c) 2\/9 (d) 18 (e) 6.231\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*h + 142. Suppose -3*k = 33 - h. Let z = k + 22. Calculate the remainder when 107 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*v**5 + 1097*v**4 - 161985*v.\nAnswer: -400*v**3 + 13164*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -346100 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let k(z) = -179*z**2. Determine x(k(f)).\nAnswer: -179*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let m(h) = -6568*h + 8. Calculate t(m(w)).\nAnswer: -6568*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 250*(-22)\/(-220).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -37023631?\nAnswer: -8\/37023631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.6 and 8344.\nAnswer: 8342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*y - x = -178, -3*y = -2*x - 514. Let d = y - 117. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(1 + (-3)\/(-6)). Suppose t*f = 3*n - 2*n, 3*n + 2*f = 14. Solve 3*k - 7*k + 4*k**3 + 0*k**n + 2 - 2*k**4 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.50981 + -0.10609. Let k = 0.3081 + u. What is k rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 85, 138, 197, 262, 333?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (29\/116)\/(870\/2320)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -50, -40?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + p = -m - 20, -4*p - 35 = 3*m. Let v = 0 - m. Let t(d) be the third derivative of -d**5\/60 + d**4\/6 + d**3\/2 - d**2. Give t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/10 - -13\/10. Let q = 57569 - 57570. Which is the nearest to 0.7? (a) q (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/5 and -23\/441.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1244232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7579 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2089, -8349, -18781, -33385, -52161, -75109?\n\"Answer: -2086*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*i + 9*i - 1830, -5*i + 1839 = 4*q. Let m = q - 307. What are the prime factors of m?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 37*s - 36*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 74 + 83 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35907, -143672, -323291, -574764, -898091, -1293272, -1760307?\n\"Answer: -35927*j**2 + 16*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*b - 51, -2*n + 0*b + 3*b = -11. Suppose -3*p + 2 + n = 0. Solve -4 = 5*v - 2*z, -z + 25 = -p*v - 6*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 15*k + 16. Let a be c(12). Let f = a - -20. Solve 5*j + 5*q = -f*q + 20, -2*j + q = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*m + 2 - 1 - 12*m)*(2 + 4 - 5) in the form u + q*m and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-2)*g)\/g)**(-11))**(-7\/3)*(g\/(g*g**(2\/11)*g)*g**6)\/(g**(2\/13)*g**0) assuming g is positive.\nAnswer: g**(667\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 + 19*i**3\/6 - 9*i**2 + 21*i. Let m be n(16). What is the highest common factor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4437\/5 + 888. Which is the closest to -7? (a) j (b) -1\/5 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {n: 4, y: 4, o: 9, w: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 51331813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189552 and 750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -104243\nAnswer: -104243.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k - 4*l - 13641 = 113*k, 2*k - l = 5457. List the prime factors of k.\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28077*f + 57126*f - 28367*f = 79794 for f.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c = -29*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onxnonxxlnlxx. What is prob of picking 1 n and 2 o?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*q = 232*q + 102. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 11. Let u be r(-8). Suppose h - 2*h = -3*z + 11, u = -h + 4*z. Which is the closest to -2? (a) 4 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -67*u**3 + 4*u**2 + 8*u + 8. Let w(c) = -267*c**3 + 15*c**2 + 30*c + 30. Calculate -15*b(f) + 4*w(f).\nAnswer: -63*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110100100111 + -1000011000?\nAnswer: 111101100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -9. Suppose -h*c + 38 = 3*s - 4, 5*c - 6 = s. Calculate the highest common divisor of 99 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 148. Let w = 22 - 13. Suppose 2*k - w = 21. What is the remainder when i is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3*z - 147*z**2 - 3*z + 3*z**2.\nAnswer: -144*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980*s = -985*s. Suppose 0 = 6*p - 4*p - 16. Solve s = 3*h - h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2313*l**4*t**2 + 9*l**3*t**2 + l**3 - 12431*l**2*t**2 + 2*l**2 wrt l.\nAnswer: 55512*l*t**2 + 54*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -109?\nAnswer: 14\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 + -0.0647?\nAnswer: 4.5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12007?\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 + 6*t**2 - t + 5. Let b(r) = 4*r**3 - 7*r**2 + r - 6. Suppose -11*a - 26 - 40 = 0. Calculate a*l(z) - 5*b(z).\nAnswer: -2*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((-5 - -2) + 2). Let m be 3 - 2 - w - -806. Is m\/9 - 2\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*r + 46. Let l = r - -22. Suppose 5*p = -2*b - 9 - 10, p + 3 = 0. Put 4, b, l in descending order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 7, 2, 119, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z. Let g be p(1). Let i be -2*26\/(-4)*g. Calculate the highest common factor of 52 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 27 = -3*i + 54. Let u be (-43)\/(-70) - 4\/8. Let s = 31\/140 - u. Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -100*((-31)\/18 - (-18)\/81). Suppose 2*x - c = -n, 2*x + 15 = 5*x. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (2475\/(-40))\/(-9) and 3 - 101\/(-6) - (-1 - 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 37. What is the common denominator of ((-4)\/(-1))\/(q\/15) and -56\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m, 4*u + 5*m - 37 = -2. Suppose u*b + 12 = 8*b. Put b, -5, -1 in descending order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*u = -y, 5*u - 3*y = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -57. Let s(g) = g**2 - 6*g - 21. Let p be s(8). Let t(l) = 2*l**3 + 11*l**2 - l + 3. What is the remainder when t(p) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135\/2618 - 1\/2618. Find the common denominator of 2\/(14\/(-6)*(-36)\/318) and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 445 (b) 1 (c) -2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4382.517 months?\nAnswer: 365.20975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(78) + sqrt(78) + sqrt(78)*3)\/sqrt(6))**2.\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31534*b**4*w**3 + 432*b**2*w**2 - 2*b*w**2 - b*w - w**3 wrt b.\nAnswer: -756816*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -0.5 (c) -0.09 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 6 + 1\/6*p**3 - 7*p + 0*p**2. Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 50876*p + 508752\/5.\nAnswer: 2*(p + 2)*(p + 127188)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**2*m**2 + 5*f**2 + 6*f*m - 4*m**2 + m wrt m.\nAnswer: 12*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5276)\/(-25061) - 1498\/76.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 m when four letters picked without replacement from nsamzmnsss?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5068*k + 5*j = 5064*k - 9, -5*k - 8 = 3*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Find the second derivative of -17*x**2 + x**m + 17*x**2 - 3*x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-735)\/2280 - (-2)\/(-38). What is the nearest to 0.1 in 29, 4, -0.08, q?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 21 (c) 0.3 (d) 2\/11 (e) -248\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394 - -259. Let c = v - -237. What are the prime factors of c?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -55. Solve 0 - 12 = -g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = 52*y + 30*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -327434362, -327434360, -327434358, -327434356, -327434354, -327434352?\n\"Answer: 2*l - 327434364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -0.23. Let g = -66 - -61. Which is the nearest to s? (a) g (b) -4\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173667090.\nAnswer: 2, 5, 117366709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 4, a: 1}. What is prob of picking 2 d and 1 a?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*w + w + 6, -u + 2 = -5*w. Let o be 2\/1 - 2\/u. Calculate the common denominator of ((-46)\/24)\/(o\/10) and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 34. Let y = -7 - p. Suppose -4*l + y*j = 5*j - 28800015, 4*j + 28799988 = 4*l. Round l to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14268*f*t + 5503312*f + 699*t + 5 wrt t.\nAnswer: -14268*f + 699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8 (b) 5\/7 (c) 4 (d) 750 (e) 5 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7684.36 - -7684. What is the nearest to -2 in s, -0.01, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24180 and 5301?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2183869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21121 (base 8) to base 15.\nAnswer: 290a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/18*4*2997\/(-666).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 206246*a - 1031180.\nAnswer: -2*(a + 5)*(a + 103118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 694*o**2 + 52338*o - 899514 = 0.\nAnswer: -413, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-688)\/946)\/(64\/112)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*j + 27063 = -433*j - 98*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h. Let l(t) = -182*t**2. What is l(r(g))?\nAnswer: -6552*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let j be (-8 + 8)\/(-1*1). Suppose -3*u = -j*u. Let k(g) = 0*g**2 - g**2 - g**2 + u*g**2. What is k(x(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/4 + 3\/6. Let w(r) = -3*r - 6. Let b(t) = -8*t - 17. What is g*w(z) + 6*b(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -0.1. Let o = 9 - w. Let z = -8.3 + o. Put z, -5, 0.1 in decreasing order.\nAnswer: 0.1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 286*h**2 + 31*h + 34. Let b be i(-1). Does 281 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*b + 4*b. Suppose -80*s + 94*s - 140 = 0. Suppose s*f + b*f = 360. What is the highest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/(d\/(d*d*d\/d**1)))\/(d\/d**(1\/3))**32*(d**0\/d)**(33\/5)*(d**0\/d)**35 assuming d is positive.\nAnswer: d**(-914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/(6\/(-45)). Let m(h) = h**3 - 4*h**2 - 2*h - 2. Suppose 15 = -2*k + 25. Let p be m(k). Solve -g*v - p = -33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 21 = -j, -6 = 2*j + 2*d + 2. Solve -j = -w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/(-13720)*7)\/(114\/(-14)).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1855998795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-1 - sqrt(150) - sqrt(150))\/sqrt(10) + sqrt(45)\/(3*sqrt(3)))\/(((sqrt(5) - sqrt(50)\/(sqrt(80)\/sqrt(8))) + sqrt(5))*3).\nAnswer: -8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 49332137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000144 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 44 + 36. Let z = 3 + u. What is the greatest common divisor of z and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f**2 + 102*f - 42. Let a be z(12). Which is smaller: -775\/3 or a?\nAnswer: -775\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -13 + -3 - (-1 + -2 + -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -2\/17, -32, -1\/2, -0.3, 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 23*y**2 - 56*y + 17. Calculate a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let x(p) = -2*p**2 - 9*p + 2. Let t(s) = s. Let o(y) = m*x(y) + 6*t(y). What is o(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 4*q + 3, 0 = 4*v + 5*q + 19. Let p = 47\/93 + 5\/31. Let a = -0.8 + 3.8. Put v, a, p in descending order.\nAnswer: a, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38786645041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24114211 plus -0.43?\nAnswer: 24114210.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1268752 and 6.\nAnswer: 3806256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 7:17 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125340671 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.1 and 101?\nAnswer: 105.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = -0*j. Suppose 0 = -4*a - 2*z + 10, 0 = 2*a - 7*a + z + j. Find the second derivative of 2*b**a + b + b**2 + 0*b**2 - 5*b**2 wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from kttkktkttt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, -1660, -1898, 2 in ascending order.\nAnswer: -1898, -1660, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 204 = 35*h + 340 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*t = 452*t - 6034 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 3*p**2 - p**2 + (-1 + 4 - 1)*(-2*p**2 + 0*p**2 + 4*p**2) - 4 + 2*p**2 + 4 - 18*p + 18*p - 58*p**2.\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - -9449.106\nAnswer: 9452.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from tddcccd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -671 + 372. Let b = d - -303. Let j = -12 + 7. What is the third biggest value in j, b, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6156856*u**3 - 5118415*u**2?\nAnswer: 36941136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 8418*u + 25272.\nAnswer: -2*(u - 3)*(u + 4212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1381968935 + 1392884954.37. Let y = j + -10916034.36999954. Let d = y + 15. Round d to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 25. Suppose 0 = 9*c - 159 - 129. What is the highest common factor of l and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -26*o**2 - 8*o + 2277. Let t(x) = 10*x**2 + 3*x - 759. Give 8*t(j) + 3*w(j).\nAnswer: 2*j**2 + 759","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18942, 37238, 55524, 73794, 92042, 110262, 128448?\n\"Answer: -z**3 + z**2 + 18300*z + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 22. Let u(j) = 35*j + 2 - z - 26*j. Let y(t) = t**2 + 4*t. Let k(b) = -b**2 - 5*b. Let i(r) = -4*k(r) - 5*y(r). Calculate u(i(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100303 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmp when three letters picked without replacement from pmmpmvmppppppmm.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -96, 0, -5, -4 in descending order.\nAnswer: 2, 0, -4, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 285*n. Let j(x) = -2*x**2. Determine j(q(w)).\nAnswer: -162450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 6, 5*x - 67 - 128 = -33*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -196650 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 + 1. Let f = 22 - 23. Let r be g(f). Let p be (8\/r)\/(34\/(-2975)). What is the greatest common divisor of 28 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 18*m**2 - 2*m - 29. Let i(q) = q**2 + q + 1. Let l(y) = -2*i(y) - j(y). Differentiate l(z) wrt z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -34, -51, -70, -91?\n\"Answer: -q**2 - 12*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81205\/48112 + 1\/3007. Calculate the common denominator of (-6)\/(-9)*(-1425)\/(-80) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 93.09. Let q = 0.19 + g. What is q rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12.18. Let l = 0.08 - s. Let u = l - -0.1000001. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x - 30*x + 1898649 = 530613. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a241 + 125?\nAnswer: -a117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200803 and 648567.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1)**(-38)\/(x\/x**3*x*x**(2\/15)))\/(x**(-6)*x*(x*(x**(1\/4)\/x)\/x*x*x)\/x*x)**(5\/9) assuming x is positive.\nAnswer: x**(-1461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 5. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(288) + -3)**2.\nAnswer: -168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from wnwn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0, -446, 4 in descending order.\nAnswer: 4, 2, 0, -1, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -5, -0.4, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 10*g - 3*d = -12, 66 = 4*g + 3*d. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**7\/105 + t**5\/60 + 8*t**2. What is the third derivative of y(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -39, -74 in increasing order.\nAnswer: -74, -39, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500058602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21.96, 3\/11, 487?\nAnswer: 21.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 72 = -o - 3*o, 2*t + 23 = -o. Let k = o + 84. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*a**2 - 2\/7*a**3 + 2\/7*a + 8\/7.\nAnswer: -2*(a - 1)*(a + 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.8 + 39. What is the closest to -0.2 in -0.03, -4, a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)**(-10))**(3\/10) assuming t is positive.\nAnswer: t**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 31 + 67. Let v(n) be the first derivative of 33*n**4 + n**2\/2 - n + 1. Let p be v(1). Calculate the highest common divisor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 3398550?\nAnswer: 40782600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1006773 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 5*b + 9. Let j be a(3). What is the highest common factor of 270 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1*((-462)\/44 + 11). Let q be (6\/(-99))\/((-2)\/(-6)). Which is the fourth smallest value? (a) 3\/8 (b) q (c) -1\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3258 + -3262. Let n be (-2 - -1)\/(2\/(-6)). Suppose -w = 5*k + 4, -4*k = -7*k - w - 4. Put 1, k, n, m in descending order.\nAnswer: n, 1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212211.\nAnswer: 3, 17, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 - 1\/24*v**5 + 0*v**3 + 1\/96*v**6 + 7*v**2 + 0*v + 5\/96*v**4. Determine y, given that c(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.3, 0.04, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 44*s - 64*s. Let v(u) = -6*u + 1. Let c be v(-1). Let n be 4\/c - (-6)\/(-9). Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59674 by 2.\nAnswer: 29837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1915942765 to three dps.\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + s + 2603 = -3*b, b + 5*s + 1324 = 0. Let h = b - -2512. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136))\/sqrt(8) + (sqrt(255)\/sqrt(5))\/sqrt(3).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 2, w: 1}. What is prob of sequence mwfm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g + 3. Let i be c(-3). Solve -2*l = -1 - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/3 + 5*b**2\/2 + 2*b + 21. Let x be m(5). What is the derivative of 9*h**2 + 12*h**2 + 2*h - x*h + 33 wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 7*g - 30. Calculate the highest common factor of g and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 40*x**2. Let g(p) = 2*p. Let w(c) = -c. Let r(u) = 4*g(u) + 11*w(u). Give j(r(z)).\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 248684908 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:58 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -23*n - 207. Let j be 2946\/21*n*-14. Round j to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/24)\/(2\/28). Let o be (6\/f)\/(22\/(-33)). Find u, given that 1\/7 + 2\/7*u**3 - 2\/7*u - o*u**4 + 0*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 (base 14) in base 12?\nAnswer: 85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -18*s + 10. Solve -4*t = t - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173707.97 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 17*a + 7 = 0. Let m be (-5 - a)\/(21\/2 + -10). Are m and -93\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7795026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 - 198. Calculate the highest common divisor of 112 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22720688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 10 = -j, -j = 4*q - 2*q + 8. Let m = 6 - 5. What is the nearest to q in m, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9677554?\nAnswer: 2, 827, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-6 + 3)\/(-3). Let h(z) = k*z**3 - 2*z**2 + 2 - 2*z + 2*z. What is h(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 28*w = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5554b2 - 2b?\nAnswer: -555510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -349 + 107?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*k. Suppose k + 3 = 2*i. Find the third derivative of -3*r**2 - 3*r**6 - 4*r**3 + 4*r**i wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s**2 + 31*s. Suppose 3*a - 4*o - 24 = -o, -a - 3*o = 12. Suppose -4*c = -3*u + 19, 0 = 5*c + u + a + 35. Is k(c) 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 624587692?\nAnswer: 2, 281, 555683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 26*x**2 - 23*x - 45. Let o be a(25). Suppose -o*t - 2*t + 63 = 0. What is the lowest common multiple of t and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1.0330835943.\nAnswer: -1.4330835943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let z(x) = -x**3 + 4*x**2 + 10*x - 17. Let b be z(5). Let r(v) = -27*v**2 + 0*v + b*v - 8*v. What is q(r(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + -5 + 5 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/5 + 216*d**2\/5 + 2289*d - 23762\/5 = 0.\nAnswer: -109, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23055.32 millennia?\nAnswer: 23055320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -24?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 8:11 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -272*g**5 - 19*g**3 - 2*g**2 + 1299*g + 2 wrt g.\nAnswer: -16320*g**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 - 188.92. Let x = w + -0.08. Sort x, 5, 0.2 in decreasing order.\nAnswer: 5, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 = 2*y - 6*b, 35 = 4*y - 5*b. Solve -5*p - 2*t + 15 = 0, -y*p + 6*t = 5*t - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14408.282554 rounded to the nearest one hundred?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/11 + 6246402*n\/11 - 18739188\/11 = 0.\nAnswer: 3, 3123198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5*i - 3. Let l be ((-102)\/36)\/17*2*-12. Determine f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010001001111 - -10?\nAnswer: 11001010001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -3, -2 in increasing order.\nAnswer: -54, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-18 + 12 + 4 + -11)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 10, -2\/9, 4\/7, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -625*o**3 + 12*o**2 + 4. Let q(i) = -2*i**3 - 3*i**2 - 1. Calculate -4*q(t) - x(t).\nAnswer: 633*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = 2*j, -5*h - 24 = -3*j - 0*h. Suppose j*b + 0*b + 11 = 2*i, i - 3*b = 4. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m - 12. Let b be m\/15 - 54\/(-10). Find the third derivative of 11*y**b + y**5 - 8*y**5 - 2*y**2 wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 + 2*i + 1. Let f be v(-3). Let m = 36 - 32. Suppose 0*b + m*b = -3*b. Sort f, b, 3 in descending order.\nAnswer: f, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 - -44. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164003615 to the nearest integer?\nAnswer: 12806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 2052*v**3 + 1135*v**3 - 8*v**2.\nAnswer: 3187*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 + -0.08. Let u = -1 - -5. Let i = 1.00348 + -0.00348. Sort r, u, 1\/6, i in ascending order.\nAnswer: 1\/6, r, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 3*i**2 + 8*i - 3. Let n(c) = 9*c**3 - 7*c**2 - 17*c + 7. Give -14*m(o) - 6*n(o).\nAnswer: 2*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6813417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 407666 = 2*t - t, 0 = -4*t - 4*d + 1630672. Suppose -t = -22*m + 889890. Round m to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5593?\nAnswer: 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**5 + 284*p**4 - 4600*p**3 - 15544*p**2 - 16132*p - 5476 = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/24)\/((-1)\/3). Let d = 17 + t. Suppose -5*j = -d*j + 190. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 2 p when four letters picked without replacement from mnmppmppnmpmn?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*d + 3632 + 2483 = -9095 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -12 + 12*d + 3*d**4 - d**2 + 119*d**3 - 131*d**3 + 10*d**2 = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by -64778?\nAnswer: 127\/64778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1177709, -1177691, -1177653, -1177589, -1177493?\n\"Answer: h**3 + 4*h**2 - h - 1177713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001100 - 1100000011?\nAnswer: -101010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = s - 183, -2*s + 5*s + 203 = 4*x. Let g = x + -22. Solve -5*f - g = 5*t, 5*f + 0*t + 4*t + 20 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/54*(-104)\/26?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 - 47 - 7 + 54 + 62*o**2.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*z + 74 = 0, 0 = -q + 3*q - 5*z - 41. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1261 and 4?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.44 + -0.36. Which is the smallest value? (a) -3 (b) w (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6532, 23044, 49532, 85996, 132436, 188852, 255244?\nAnswer: 331612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -171 times -210.1\nAnswer: 35927.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*20\/(-6))\/(3*6\/(-9))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3604*p = -3515*p - 214 - 676 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and 100 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/184 and -97\/22?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, w: 2, e: 1, y: 1, g: 2, z: 1}. What is prob of sequence yw?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h. Let i(l) = 61*l**2 + 4*l - 2. What is o(i(w))?\nAnswer: -671*w**2 - 44*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -439*o**2 - 4. Let m(l) = 1318*l**2 + 11. Let d(s) = 4*m(s) + 11*p(s). Let g(w) = -2*w**2. Calculate d(g(b)).\nAnswer: 1772*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1333053 divided by -2.\nAnswer: -1333053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -20.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1bbb4 (base 16) to base 3\nAnswer: -12202210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12571614 by -6285807.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85227530 divided by 5?\nAnswer: 17045506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 1, r: 5, f: 1, c: 1}. Give prob of sequence nq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**22*c*c*c**(-3\/4))**(-2\/17) assuming c is positive.\nAnswer: c**(-105\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.93 (c) -8\/3 (d) 0.1 (e) -1 (f) -2\/5 (g) 8.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((1 - -3) + (-40 - -36)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23 + -11 - (-2 + 12). What is the nearest to -9 in 1\/2, w, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11122101 (base 3) to base 7\nAnswer: 12604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**2 - 29*v - 13 + 11*v**2 + 5*v**2 + 6*v**2 - v**3. Let o be g(15). Solve 5*f - 4*f = -t - 5, -8 = o*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9390 - -6295?\nAnswer: -30b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 27.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8412 - -8412.0025172. Round j to 5 dps.\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77126381557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.5047 millilitres in litres?\nAnswer: 0.6095047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 606*g**2 - 133*g**3 - 1507*g**2 + 595*g**2 + 600*g**2 wrt g?\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35731*i**4 + i**2 - 15995?\nAnswer: -857544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028358 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 8. Let t = -50 - -62. Calculate the lowest common multiple of t and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let o be n(3). Suppose -8*h + 8 = -o*h. Let v be -1 + 0 - -3 - h. Which is smaller: v or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:33 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 28 = 4*k - 8*k, 4*n + 22 = 3*k. Let b be (2\/(k\/55))\/(6\/90). What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.40735 microseconds?\nAnswer: 5407.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*w**4 - 11086*w**3 - 4*w + 34310387.\nAnswer: -104*w**3 - 33258*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -19, 38, 151, 338?\n\"Answer: 3*g**3 + g**2 - 5*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 117.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -841620730 to the nearest 100000.\nAnswer: -841600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/601 or 0?\nAnswer: 2\/601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {d: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06815637796 rounded to 6 dps?\nAnswer: 0.068156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t + 14 = s, -2*s + 2*t = -22. Let c be (s\/12)\/1*3. Solve 3*d - d - c = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*j - 11 - 1, -4*j = 2*r + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.029 - -2.979. Let k = 0.05 + o. Let m = k - 5. What is the smallest value in 4, m, 1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4609 + -4571 + 1 + 1 + -12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let p(m) = m - 4. Let x(o) = -p(o) + 2*u(o). Let t be x(0). Let d(q) = 0*q**t - 2*q**2 + q**2. Let w(h) = -4*h**2. Give d(w(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418559 is divided by 254?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.4, 0, -0.1, -0.04.\nAnswer: -0.1, -0.04, 0, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -54 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g**2 - 4. Let o be (56\/12)\/((-43)\/15 + 3). Suppose -o = -2*v - 131. Let n = v + 41. What is k(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-48) + 4 + 34\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156))\/sqrt(12) - ((sqrt(13) - -2*sqrt(13)) + -3)**2.\nAnswer: -126 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10097*g**2*h**2 - g**2*h*j**2 - 28*g**2 + 2*g*h**3*j**2 + 7*g*h + h**3 - 2*h*j - 3 wrt h?\nAnswer: 20194*g**2 + 12*g*h*j**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-i + 4*i + i)*(3*i - 2*i + 4*i**2 - 8*i**2).\nAnswer: 16*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15300431 rounded to 4 dps?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/(-96) - (-94234)\/6096.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -3) + (1 + 2 - -77) - 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 + 2.20000015. Round w to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 45111?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/75 of a minute?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 - 24*a + 140 = 0.\nAnswer: 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 0, -2*h - 10 = -7*h + 5*k. Solve 0 = 3*w + i - 8 - h, 22 = 3*w + 4*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 (base 10) in base 5?\nAnswer: -3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36270 or -48\/187?\nAnswer: -48\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) 0 (c) 0.3 (d) -201\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76673 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -183+0.1\nAnswer: -182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 154998.\nAnswer: -2\/77499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.4 and -0.15366.\nAnswer: 14.24634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/9 + 22*x**5\/15 - 12*x**4 + 248*x**3\/9 - 64*x**2\/3 + 1075. Determine z, given that h(z) = 0.\nAnswer: -16, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 - -2.7. Let x = t - -3.9. Let g = -2.6 - -0.6. What is the second smallest value in g, -1\/6, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v*v\/(v**(2\/13)*v)*(v\/(v*v*v*v**(2\/5))*v)**(-48))**(1\/28) assuming v is positive.\nAnswer: v**(3903\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 8*m - 7. Let b be y(7). Suppose 2*z - 7 - 9 = b. Solve -4*l - j = -12, -4*l + 3*j - z = -j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2356053 bigger than -2356053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + d - 2. Let k(i) = -20*i**2 + 5*i - 4. Let p(s) = -2*b(s) + k(s). Let j(n) = -n**2. Calculate j(p(m)).\nAnswer: -484*m**4 + 132*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 4*s**3 - 4*s**3)*(2883*s - 4289*s - 11036*s + 4432*s).\nAnswer: 32040*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 17*l + 11. Let v be (0 + -5)\/((-15)\/6). Let m(d) = d**2 - 8*d - 5. Let j(o) = v*g(o) + 5*m(o). Give j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + a + 1. Let k = 7277 - 7276. Let u(h) = 2*h**3 + 2*h**2 + 6*h + 8. Calculate k*u(v) - 6*i(v).\nAnswer: 2*v**3 + 8*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 87. Suppose -q*m = -89*m - 40. Suppose -14*l + m*l + 42 = 0. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -906.1495 rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615703 is divided by 27727?\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 4) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1189373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + n**4 + 5*n**4)*(-1 + n + 1) + (2*n**4 + 5*n - 5*n)*(11*n - 11 + 11).\nAnswer: 26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-20))**(-1\/3)*((i*i\/(i\/(i*i**(-33))))\/i)\/i*(i*i**(-1\/4))\/i*i assuming i is positive.\nAnswer: i**(-311\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let u = 7 + -2. What is the nearest to k in -0.4, -2\/7, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*q**3 + 214*q - 214*q)*(-q + q + q)*(3 + 2*q - 3).\nAnswer: -180*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48856 is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2. Let l be s(6). Suppose -3*t - 5*d = 40, l = 4*d - 8*d + 4. Let a = -5 - t. Calculate the remainder when a is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 145.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -54 (b) -2861 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 15*j**2 - 13*j + 28. Let v be w(-14). Calculate the greatest common divisor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6493 divided by 382?\nAnswer: -6493\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/30 and -149\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 1770*u\/11 + 111392\/11.\nAnswer: -2*(u - 59)*(u + 944)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.062\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 812246 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -6\/35, 4\/3?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2073071580 - 0.041.\nAnswer: 2073071579.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*d - 21, -5*d + 17*v + 39 = 13*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**2 + 0*m**2)*(-72*m**2 + 32*m**2 + 7*m**2).\nAnswer: -33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*b - 4*b - 15, 0 = 5*b - 5*q - 75. What is the greatest common divisor of 80 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and -9\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15.2, -1\/5, 0.07, -3\/5, -1, 12\/23?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -17, -20, -23?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*o - 275*o - 315 = 0. Suppose 2*x - 3*l = -2*l + 58, -3*x = -2*l - 88. Calculate the highest common divisor of o and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**3*w**4 - 170*o**3*w**3 - o**3*w**2 - 7679*o**2*w**2 - 9*o*w**3 wrt w.\nAnswer: -48*o**3*w - 1020*o**3 - 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 263200?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -160220 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/(u\/(u\/(u\/u**(-7)))*u))**(-47) assuming u is positive.\nAnswer: u**(893\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -32*q**2 + 4*q + 274. Let f(c) = -15*c**2 + 2*c + 137. Determine -5*f(o) + 2*i(o).\nAnswer: 11*o**2 - 2*o - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409010 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161734200*k**3 + k**2 - 54548042*k wrt k?\nAnswer: -970405200*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01485519015 and 9.\nAnswer: 9.01485519015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3398.\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26856589?\nAnswer: 487, 55147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Let r = -3.494 + -1.506. Suppose -5*x - 2*h = -x - 28, h + 16 = 4*x. Which is the biggest value? (a) r (b) x (c) q (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328764.\nAnswer: 2, 3, 27397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 75*k + 9. Let d(p) = -7*p - 1. Give -21*d(l) - 2*w(l).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 8, -5*c + 3*y - 9 = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584481060 to the power of 1\/3, to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 678 and 5.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7437, 0, 17.\nAnswer: -2, 0, 17, 7437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c**3 + 4*c**2 + 8*c**2 - 64*c**3 - 22*c**2 as k*c**3 + g*c + j*c**2 + u and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104.4 + -104. Which is the third biggest value? (a) n (b) 3.4 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 7*a + 6. Let s be b(5). Let w = -6 + 11. Let v = -1 + w. Solve -4*g + 0*g - 3 = -j, v*j + s = 2*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1569 - 1561. Solve 5*o - 2*o = -r + l, r = 5*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1280*w**4 + 812 wrt w?\nAnswer: -5120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 + -24642102216?\nAnswer: -24642102228.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -876 - -559. Let r = j + 318. Which is the third biggest value? (a) -5 (b) -11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129717 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 34*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 11. Let v(k) = -4. Let g(h) = 17*v(h) + 6*y(h). Let d be g(-1). Suppose 2*q - 66 = -0*q - d*i, -3 = -i. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4893185 and 10\/629.\nAnswer: 3077813365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-37)\/2 + (-1)\/(-2). Let m = s - -27. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312.112 - 128.634. Let q = d - 183. Let z = 0.47799463 - q. What is z rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 1 - (182 + -198)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 7*b - 9. Suppose 2*i = 4 - 16. Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 1598*q - 3025*q + 0*q**3 - 1841*q + 3*q**3.\nAnswer: -2*q**3 - 3268*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -939659?\nAnswer: -5\/939659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 4526*m - 2264.\nAnswer: 2*(m - 1132)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/12*14\/14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 302 + -285.85. Let d = 16 - k. Let m = d - -2.15. Which is bigger: 2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 5390?\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, 0, 2\/29, 2\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 2*t + 53\/60*t**5 + 0*t**3 + 0 - 1\/6*t**4 - 7*t**2. Let o(n) = -2*n**2. Calculate f(o(d)).\nAnswer: 212*d**4 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 13 = -4*j + 48, 0 = 5*j - 2*f - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-54))\/((-1)\/3). What is the closest to c in -2, -5, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 4) to base 12.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300211 is divided by 32502.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74517\/64 + 16219971\/13760. Let h = o - -13\/86. Let z = h + -667\/45. Which is the third biggest value? (a) 5 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -17, -2\/7, -4.\nAnswer: -24, -17, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/(i\/i**4)*i**(-1\/8)\/((i**3\/i)\/i) assuming i is positive.\nAnswer: i**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*r + 19693 = 3*p, 0 = -4*r + 4. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76893966*f**4 - 71386825?\nAnswer: 307575864*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33557 and 19838023.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 1. Let w be v(1). Suppose -4*x - f + 43 = 14, f = -w*x + 17. Calculate the lowest common multiple of x and 5\/20 - 110\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u - 415. Calculate a(-49).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11372 - 125091\/11. Which is the nearest to 7\/2? (a) 4 (b) z (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -4*s - 12*d, 0 = -4*d + 30 + 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6657 - -6756. What is the remainder when 213 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + 28*(-6)\/(-288)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 - 183092*h**3 - 2793678756*h**2 - 14211443343548*h - 28411713436744 = 0 for h.\nAnswer: -15257, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22243 - 22243 - 22*j)*(-j**2 + 0*j**2 - j**2).\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 - 3*o + 1. Let x be r(-5). Suppose 0 = 5*h - 5*n - 20, -7*n - 16 = -5*h - 4*n. Is 2*h*x\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -19) + -12 + 5 + -10 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/((-3)\/66). Let q = i - 3. Let c(o) = -o**3 + 7*o**2 + 10*o - 11. Let v be c(q). Solve v - 25 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from itiiiiallytititytlay?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x + 3703 = -66*x. What is the remainder when x is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f + 1. Let r = -8 + 11. Let a(m) = m - 3*m**3 + 3*m**2 - 4 - m**3 + 3*m**3. Determine r*i(g) + a(g).\nAnswer: -g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*l - 59*l + 223 = -248*l - 174 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/6)*c*c)\/(c\/(c**(-3\/4)*c*c)))**(7\/4)\/((c**6\/c)\/c**3)**(2\/99) assuming c is positive.\nAnswer: c**(9407\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmug when four letters picked without replacement from zzuzmgm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792007 - 787751 = -112*o for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, x: 1, y: 5, f: 4}. Give prob of sequence vxyy.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*p*q*s + 16*d*p*s**2 + 2*d - p*q - p*s**2 - 156*q*s**2 wrt q?\nAnswer: d*p*s - p - 156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173 + 98 - f**3 + 10*f**2 + 81 + 3*f**4 - 5*f**4 - f to the form y + n*f + a*f**2 + m*f**4 + c*f**3 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 1222*z\/5.\nAnswer: -2*z*(z + 611)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3493*a + 3501*a + 53*a**3 - 10495*a - 2*a**3 + 3501*a.\nAnswer: 51*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 i when four letters picked without replacement from llllillllllllillil?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 805*s**2 - 13 - 15*s**2 + 2 - 139*s**2 to u + w*s + x*s**2 and give x.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyk when three letters picked without replacement from {w: 1, i: 1, y: 2, a: 1, k: 1, u: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**4 + 6*d**4 - 5*d**4 + (3*d**3 - d**3 - 4*d**3)*(-3*d + d + 0*d).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49120, 98150, 147180, 196210, 245240?\nAnswer: 294270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3268)\/774 - (-10 - -10).\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 371\/372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(22\/7)*k)\/(((k*k\/(k*k**2*k))\/k)\/k))**9 assuming k is positive.\nAnswer: k**(513\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iioi when four letters picked without replacement from {i: 11, o: 1, j: 1, u: 4}?\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.1, 11, -14\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -793 - -1217. What are the prime factors of l?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153902 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 times 1.3?\nAnswer: 694.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96672?\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + w + 5. Suppose 0 = -b + 2*b + 7. Let c(h) = 9*h**2 - 2*h - 11. Let x(p) = b*n(p) - 3*c(p). Determine s so that x(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**5))**(10\/13)*(k**(2\/7))**(15\/2) assuming k is positive.\nAnswer: k**(545\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 57*k + 3 = 60*k, -3 = k. Solve -p*a + 32 = 44 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234787 is divided by 1276.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1603 (base 7) to base 8.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 435 + -435. Let h = 47 + -140\/3. What is the closest to -1\/2 in -3, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -946216\/403 - -2348. Find the common denominator of s and -4\/39.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -6, h - 4 = 5*k + 3*h. Let d = -826 - -829. Solve u + d = -k*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 605 - 93 = 4*m, -5*m + 640 = d. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80299.\nAnswer: 59, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + 4. Suppose 4*n - 7*n - 24 = -q, 4*q - 31 = -n. Calculate the greatest common factor of q and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428 by -107.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147.41*-0.1.\nAnswer: -14.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ievvtvvey. Give prob of sequence iy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154725\/94 + -1646. Is v at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f - 6 = 0. Let o(l) be the first derivative of l**5\/40 + l**4\/12 - 10*l**3\/3 - 8. Let t(k) be the third derivative of o(k). Determine t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 583 + -523. Suppose 7*c = 8*c - q. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from miirririiimi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 616906, 616917, 616940, 616981, 617046, 617141?\nAnswer: 617272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -90?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -33. Let b = 36 - a. What is the second derivative of b*t - 5*t**4 - 8*t + 2*t wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 38 = 2. Let q(d) = 18*d + n*d + 0*d + 5*d - 11. Is q(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -21.4?\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.07, -1, -1\/3 in ascending order.\nAnswer: -5, -1, -1\/3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllljlj. What is prob of sequence jjl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83828, 83909, 84196, 84791, 85796, 87313, 89444, 92291?\nAnswer: 95956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007960 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.7 - 43. Let h = q + -1.6. Let p = 4 + 0. Which is the closest to h? (a) -5 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9244692.\nAnswer: 2, 3, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48 + 2 - 15)*(-7*f**3 - 3*f**3 + 3*f**3) in the form m*f + g*f**3 + z + d*f**2 and give g.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (148\/3)\/2 - 1\/(-3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3126 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 25*x - 9. Let l be o(14). Let z(p) = p**2 - 6*p + 3. Let a = -6 - -12. Let g be z(a). Calculate the highest common divisor of g and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g + 4*o - 40, 3*g - 44 = 4*o. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5244 and 21?\nAnswer: 36708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 3, u: 3, x: 3, d: 5, t: 3}. Give prob of sequence xxdu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x**4 - 2265*x**3 - 4023*x**2 + 249381*x + 83490 = 0 for x.\nAnswer: -11, -1\/3, 10, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(50) + -1*sqrt(180).\nAnswer: -29*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*l + 8 + 2, 4 = -2*l. Suppose 18 + 4 = 5*u - 4*z, -p = -u + 2*z. Let y(g) = -g + 8. Determine y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 522, 524, 524, 522, 518, 512?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 133.36355 and 0?\nAnswer: 133.36355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728664?\nAnswer: 2, 7, 30869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3629 and 39\/29032.\nAnswer: 29032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 241853700?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -20 - 10. Let g(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 7*w**2\/2 + 5*w - 22. What is g(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.82 + 33.32. Let v = r - 22. Let p = v - 10. What is the closest to -0.1 in -2\/5, p, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3162000 and 8.\nAnswer: 3162000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 5*n - 2*n)*(-4*n**2 - 6*n + 6*n + (3*n - 3*n - 2*n**2)*(1 - 3 + 4) - 3*n**2 - 5*n**2 + 3*n**2) in the form l*n**3 + b + y*n + t*n**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.6 (b) -0.36 (c) -6\/23 (d) -0.3 (e) -3\/4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w - 3. Let z(f) = 4*f + 2. Let m(k) = -2*c(k) - 3*z(k). Let t(b) be the second derivative of 0*b**2 - 10*b + 0*b**3 - 5\/4*b**4 + 0. Give t(m(q)).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzpppppppppppzpzpp. Give prob of picking 1 z and 3 p.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) 5 (b) -5 (c) -3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*3\/(-3) + 24\/3. Solve 5*l - v = 0, -4*d = -2*d + 2*l + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouvxvhuhh. What is prob of sequence vho?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1896155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + u - 28. Let a be l(0). Let y = 17 - 10. What is the lowest common multiple of y and -2*a\/(-16)*60\/(-35)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = -5. What is the remainder when 39 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(99)*-1 - sqrt(99)) - -4*(sqrt(99) - (sqrt(99) - (2*sqrt(99) + sqrt(99)) - sqrt(99))))*-3)\/(2*sqrt(729)*2*2).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372667 - 54*x - 336*x**3 - 372667.\nAnswer: -336*x**3 - 54*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/237*(-43)\/((-2795)\/(-45)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1847, -8, 3, 12, 20.\nAnswer: -1847, -8, 3, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 18 = -5*k, 6*a + 8 = 5*a + 5*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -822.747839 take away 1641?\nAnswer: -2463.747839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4932736.\nAnswer: 2, 89, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -0.2. Let x = -4 - -5. Which is the closest to x? (a) -1\/2 (b) 5\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 26*o + 11. Let n be w(4). Find s such that 10*s**3 + 5*s**3 - 105*s**4 + 100*s**4 + 5*s**n + 60*s**2 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2597 is divided by 213?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, 315, 717, 1423, 2535, 4155, 6385, 9327?\n\"Answer: 17*q**3 - q**2 + 84*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111258 is divided by 2477.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -31 + 29 + (-1)\/(1\/5). Let w(y) = 4*y**2 + 9*y - 5. What is the tens digit of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-3*d**2 + 2*d**2 - 3*d**2) + 1666*d**2 + 208684 - 208684 in the form w*d**2 + m*d + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*q = 684, -2*w + q + 342 = -2*q. Let n = -177 + w. Sort -5, 4, n in increasing order.\nAnswer: n, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a**3 + 11*a + 1\/4*a**4 - 80 - 1\/2*a**2. Determine l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*v + 8 = 0, -4*v + 11 - 3 = 4*j. Let y = -816 - -17955\/22. What is the common denominator of y and j\/(-12) + 2604\/720?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*d**2 + 1300*d - 40992.\nAnswer: (d - 24)*(17*d + 1708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 9. Let x = q - -6. Let g = 1.3 + -1. What is the nearest to -1 in 2\/3, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 4 (b) 1\/56 (c) -2 (d) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -239+0.0554\nAnswer: -238.9446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 60, 48, 36, 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 82. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 25. Suppose 2*c = -i - 16. Let g = -3 - c. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 13. Let u be i(11). Which is the closest to -2\/7? (a) 0.5 (b) u (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + -8 - (-25 - 1\/(-1)) and -29\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -113 (b) -0.1 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 497*m - 153*m**2 - m**3 - 498*m + 0*m**3 to b*m**2 + h + o*m**3 + c*m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 - (5 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21322, -21287, -21252?\nAnswer: -21217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpzk when four letters picked without replacement from {z: 11, p: 3, k: 4}.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d - 251. Let n(p) = 5*p + 125. What is 3*i(a) + 5*n(a)?\nAnswer: a - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76296329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j + 49*j - 3 = y, -5*y = 4*j + 13. Sort -13, -4, -5, y.\nAnswer: -13, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129918 is divided by 5010?\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 434\nAnswer: 173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c + 6. Let a(k) = k**2 + 107*k - 683. Let q be a(-113). Let n(p) = 9*p - 3. What is q*n(v) - 2*g(v)?\nAnswer: -7*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**28*n*n**(-1\/13))**(-6\/13))**(-32) assuming n is positive.\nAnswer: n**(72192\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/(-377)*(-4)\/(-6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-116)\/36)*((-99)\/63)\/(-11)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40104747 and 40104746 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18696 and 6027246.\nAnswer: 458070696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -137, 2\/9, -0.02?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = 31*l - 48 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**2*i**3 - 7*h**2*i**2 + 19*h**2*i - 13*h**2 + 48080*h*i**3 + 114*h*i**2 wrt h?\nAnswer: -16*i**3 - 14*i**2 + 38*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719071?\nAnswer: 719071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.002 and 0.41.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - ((-3 - -8 - 6) + 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2028 + -2027. What is the biggest value in 40\/41, g, 1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102044384 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 97 + 247. Suppose 5*k - i = -2*b, -4*b - 64 = -4*k + 2*k. Suppose 2*h - k = -4*q, -2*h = -5*q - h + 46. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 - 2. Determine v(5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (-2*sqrt(140) + sqrt(140)))\/sqrt(10))\/sqrt(7) + 3 + 1.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 20. Suppose 8 = j*z - z. Suppose 27 = 2*a + 2*p - 69, z*a - 5*p - 96 = 0. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 1\/14, 9\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = 4*y. Suppose h + 3 = 2*o - 6, -h = y*o - 11. Let n be (240000000\/56)\/(-4)*h*7. What is n rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j**2 + 13*j - 17. Let h(z) be the third derivative of z**5\/20 - z**4\/8 + 2*z**3\/3 - 125*z**2 - 6. Calculate 2*d(u) + 9*h(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1376*b**3*m**3*o**2 - 18*b**2*m*o**3 - 2*b*m**2*o**3 - b*m**2 + 3*b*m*o**3 - 3369*b - 3*m**3 wrt b.\nAnswer: 8256*b*m**3*o**2 - 36*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1331)*-1.\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6))\/(q**5*q))\/(q**(-1\/12)\/q**(2\/9)) assuming q is positive.\nAnswer: q**(-385\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -26504 and -0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2. Let l(b) = 19431*b. Calculate u(l(t)).\nAnswer: 1510255044*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -40. Let z be f\/(-8) + (-44)\/(-16). Suppose -62 = -4*u + z*u. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3.1 (b) -2 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148594, -297190, -445786, -594382, -742978?\nAnswer: -891574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 - 104. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwemnmuwww. What is prob of picking 1 m and 1 e?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0255129 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 times 17?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107.099*-0.131.\nAnswer: -14.029969","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = -110 + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 9. Let s be f(3). Let j(u) = u - 1. Let y be j(5). Find the second derivative of 3*n + s*n**y - n**4 - 6*n - 2*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 28 = -3*y. Let i = -111 + 151. What is the remainder when i is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*d + 100, -5*d - 2 = -o - 47. Let i = o + 24. Let k(r) = 8*r**2 + 4 - 12*r**2 - i. Let q(l) = 4*l**2. Calculate q(k(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12411 is divided by 3095.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -8, -3*w + 2*u + 14 = -23. Solve 4*l = -2*t, -w*t = -13*t - 3*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/60 - g**4\/24 - 2*g**3\/3 - 2*g**2. Let w = 14 - 10. Suppose -k + 5*i = -23, -5*k = w*i - 3 + 4. Determine u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vseszbvzvz. What is prob of sequence seb?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyut when four letters picked without replacement from {y: 1, t: 1, s: 9, c: 2, u: 2, f: 3}.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5143413 is divided by 1285850.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - 2*sqrt(300)) + 3.\nAnswer: -10*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -472 at least as big as -474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 349*r + 49307. Determine m(-142).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let s be r(0). Suppose -4*y - 70 = -11*y. Solve s = 2*f + y - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**4 - b**3 + b + 2. Let i(w) = -w**5 + 26*w**4 - 168*w**3 - 420*w**2 - 223*w + 4. Let p(h) = -i(h) + 2*z(h). Factor p(k).\nAnswer: k*(k - 15)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-10)\/(-15)). Let r be -3 + -1 + b + 233. What is the greatest common factor of r and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49, -349, -1195, -2863, -5629, -9769?\n\"Answer: -46*y**3 + 3*y**2 + 13*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 23*l - 108. Let m be i(-6). Calculate the greatest common divisor of m and 3774.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:49 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34179879?\nAnswer: 3, 19, 223, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83467, 165945, 248421, 330895, 413367, 495837, 578305?\n\"Answer: -d**2 + 82481*d + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8131566 micrometers?\nAnswer: 0.0000008131566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 150. Suppose l + 78 = 6*i. What is the remainder when 35 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38b41 (base 12) to base 8\nAnswer: -227541","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -59 - 41. Let x = 149\/6 - g. Let u = -2 - -2.2. Put -2, u, x in decreasing order.\nAnswer: u, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 1, a: 2, g: 2, m: 4}. Give prob of picking 1 m, 1 d, 1 g, and 1 a.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 739*c*f*o + 27*c*o**2 + 3*c*o - 3*c + 58*f*o**2 + 31*f*o + 10*f + o**2 - 3 wrt c?\nAnswer: 739*f*o + 27*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -473 + -2637?\nAnswer: -2aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 29*s - 5*t = 208, s - 256 = -3*t. Solve -s*k + 233*k - 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010101 (base 2) to base 7.\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33*4*880\/(-384)*7\/((-385)\/20)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-8 + 40\/8). Solve -4*j = -u*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57831 and 1509378?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -4*y - o + 15, -3*y - 45 = -6*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.60551 months in centuries?\nAnswer: 0.128837925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 11:42 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*w + 23 = 0, 2*b = -b - 2*w + 22. Suppose -2*d = 2*d - b. Is (2 + (69 - 2))*d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*h - w, 2*h = w + 37 - 47 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 8*r - 9. Let k be s(7). Let m(q) = -8*q + 1. What is the tens digit of m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/20 - 5*t**4\/24 - 5*t**3\/6 - 12*t**2. Let k(g) = -6*g**2 - 9*g - 9. Determine 9*h(a) - 5*k(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -6*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177\/2 - -265\/3. Which is the nearest to -1\/3? (a) y (b) 2\/65 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2451\/(-756)*2 - (7 - 13) and -71\/1260?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(t + 3*t - 6*t) + (5 - 1 + 0)*(582 + 141*t**2 - 582).\nAnswer: 562*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30968, -61478, -91524, -121106, -150224, -178878?\n\"Answer: 232*i**2 - 31206*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -27, -1, 4\/5.\nAnswer: -27, -1, 0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 3. Let i be r(-3). Let m(o) = -6*o - 1. Let s be m(-8). Let n = s + -137\/3. Which is the closest to -1? (a) -4 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 - 0.59. Let m = -0.4 - -0.3. What is the nearest to 2 in -1, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*x - 4828 - 103269 = 829 for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1845429944\/3355 + -6050702\/11. Let x = 51\/5 + r. Let j be (-30)\/(-8) - 2 - 3\/4. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let a(d) = -d**3 + 5*d**2 - 2*d - 2. Let i(c) = -a(c) + 4*y(c). Let o(x) = 10*x**2 - 4*x**2 + 0 + 2 - 3. Let w be o(-1). Give i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 39 = 4*h. Let m(o) be the second derivative of -o**5\/20 + 2*o**3\/3 + 3*o**2\/2 + o. What is the remainder when h is divided by m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -15440, -23, 3, -5 in decreasing order.\nAnswer: 3, 1, -3, -5, -23, -15440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + z**2 - 7*z + 2. Let t be j(2). Suppose t = p + 243 - 823. List the prime factors of p.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 275. Let f = t + -35. Solve 2*l - 5 = 3*b + 5, -4*l = -2*b - f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536455631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 1.2. Which is the nearest to i? (a) -5\/4 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + z = 30, 0 = 5*z - 10*z + 15. Suppose s*q + 6*q = 135. Suppose 0 = -q*y + 4*y - 1515000. What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*n**3*r**3*t - 4*n**3*r*t + 5*n**3*r + 2*n**2*r**2 - n*r**3*t + 5*n + 114*r*t wrt n?\nAnswer: 66*r**3*t - 24*r*t + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + (-1 - -3) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2651 + 3597. Let o(r) = -r - 1. Calculate the least common multiple of o(-3) and z.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 93*m + 26. Let f be s(8). Suppose -4*d + f = d. What is the remainder when d is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 5 + 7 - 32*w**2 - 19*w**2 + 0 - 8*w.\nAnswer: -51*w**2 - 10*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8099\/58 + 139. What is the common denominator of 83\/4 and q?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66551 is divided by 4752.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22248a1 - -11?\nAnswer: -2224890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 - ((-2548)\/2028 + 3\/(-39)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 9*l**2 - 8*l + 11. Let m be b(-9). Suppose -88*n = -m*n - 400. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/98265343?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g - 50*g - 2*i = 1550, 4*g = 3*i + 1240. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17248 + 0?\nAnswer: 17248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 26*b**2 + 25*b. What is z(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 - -377762?\nAnswer: 377238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005991 to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 15. What is x(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = q, -3*j = 5*q + 2*j + 5. Let m(a) = 55*a**2 + 4. List the prime factors of m(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*y + 25 = 0, 2*y + 8 = -2*y. Suppose 3 = -c*j + 3. Determine o, given that 0*o - 5\/2*o**3 + j + 2*o**4 + 1\/2*o**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 4. Let v(f) = -1787*f**2 + 892*f**2 + 894*f**2 - 3 + 22. What is v(x(u))?\nAnswer: -u**2 - 8*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 2136.\nAnswer: 207192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -6\/13, 1.5, 0.05?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 4*v - 114. What is the remainder when v is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 339, 338, 337, 336?\n\"Answer: -h + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f - 35. Calculate k(5).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let k(j) = 184*j**2. Determine u(k(x)).\nAnswer: 184*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(80) + 0 + 1 + ((1 + sqrt(80))**2 + 3 - sqrt(80))*-6 + -4.\nAnswer: -512 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*4.54.\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f + 9. Let t(q) = 2*q - 3. Let a be (6 + (-784)\/126)*(-28 - -1). Give a*k(c) + 17*t(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -152*s**3 + 22 + 5*s + 6*s + 6*s**2 + 2 + 151*s**3. Let p be j(10). Let v = p + 1866\/7. Which is the biggest value? (a) v (b) -5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45288 - 5088. What is q rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5008)\/358 - (3*-8 - (-203 + 193)).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/4 - 1)\/((-7)\/(-1862)) is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127\/3 - -42. What is the second smallest value in h, 4, -12, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 at most as big as 1283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 20 = -4*j. Sort 10, j, 2, -3 in decreasing order.\nAnswer: 10, 2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 - 52*z**3 - 206*z**2 + 180*z + 81 = 0. What is z?\nAnswer: -9, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12089607 to the power of 1\/2, to the nearest integer?\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -214*y**2 - 27*y - 5479. Let q(n) = 431*n**2 + 53*n + 10952. Let o(z) = 5*g(z) + 3*q(z). Find the first derivative of o(b) wrt b.\nAnswer: 446*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = -67 + 270. Solve 0 = 9*s - d*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3436, 17\/32, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 2. Let b be (2 - 6)*(-10)\/(-8). Let z(l) = l + 8. Let h be z(b). Suppose -3*m = -5*i + 4, -i - 8 + 4 = -h*m. Determine a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-55))\/(((-280)\/(-100))\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l. Let y(u) = 7*u**2. What is y(h(f))?\nAnswer: 175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = x - 18. Which is smaller: -7\/2 or x?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 6\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10599821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/24 + a**3\/6 + 28*a**2. Let u(v) = 40*v + 4. Let c(s) = -5*o(s) - u(s). Differentiate c(z) wrt z.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3332, 6652, 9974, 13298, 16624, 19952?\nAnswer: 23282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -3) + -7 + 246. Let q = w - 243. Solve 0 = -0*t + q*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 times -148\nAnswer: 8584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2880)*-1 + sqrt(2880)) + (sqrt(2880) + sqrt(2880)*2 - sqrt(2880))*6)\/(6*sqrt(324)*-2*4)*4.\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177 - -176.9. Let k = -242 + 1214\/5. What is the fourth biggest value in h, 2, k, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1 - 11 = 0. Suppose 0*t + 4*t + 32 = 0. Let b = t - -10. Solve -b*d - m = -12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28960 by 724.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 0*f. Suppose -4*w + 6*w + 12 = 0, -3*c + 3*w + 3 = 0. Do c and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36204 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 98 = 14*i. Let u(q) = 2*q - 3. Give u(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-14)\/525*3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*j + 1220 = 9*j - 514 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11268 and 2117132.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 16*z + 19. Let k be t(6). Let m(s) = 9*s**2 - 10*s. Let i(p) = 11*p**2 - 10*p - 1. Let v(d) = k*m(d) + 4*i(d). Give v(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - (-11 - -2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d + 56. Let v = 129 + -118. List the prime factors of u(v).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12346.8 and 0?\nAnswer: 12346.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00640759 to 5 decimal places.\nAnswer: -0.00641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.09619603?\nAnswer: 0.09619603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/20 + s**4\/8 - 1194*s**2. Let b(o) be the second derivative of -o**5\/20 + o**3\/6 - 2*o. What is -4*b(x) + f(x)?\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*((1 - 0) + 0). Let l = 2 + i. Calculate the greatest common divisor of l and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9336613 centuries to millennia.\nAnswer: 0.09336613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -12*p + 3*a - 1, -4*a - 4 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143.84 - 140. Let o = 4.96 + k. What is the second biggest value in -5, -0.4, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -38*v**2 + 181109*v + 181110. Calculate x(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.41 - -0.01. Let v = 0.38 - -3.82. Let y = v - 1.2. What is the second smallest value in y, -2\/23, f?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52229681443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*c + 68*c - 143*c - 128*c in the form u*c + k and give u.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*t**2 - 185*t + 9*t**3 + 244*t - 8*t**3 + 216*t wrt t?\nAnswer: 6*t - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442190.\nAnswer: 2, 3, 5, 48073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let o be h(2). Let x(t) be the third derivative of -t**6\/120 + t**5\/15 + t**4\/8 - t**3\/2 - t**2. List the prime factors of x(o).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:21 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 768*b - 49152.\nAnswer: -3*(b - 128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*u**2 + 8*u**3 + 27*u**2 - 133*u**2 + u + 18 - u**4 as j*u**4 + l*u**3 + v*u + p + k*u**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.699 - 1.69888065. Round g to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c70 + -137a?\nAnswer: -1fea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12525 + -8614. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/5)\/9*(-20)\/32?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.2 + 15.1. Let h = 16 + u. Sort 3, h, -0.2.\nAnswer: -0.2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 28959282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11343113, -11343097, -11343073, -11343041, -11343001, -11342953, -11342897?\n\"Answer: 4*x**2 + 4*x - 11343121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(-114) + (-2)\/(-4). Which is the smallest value? (a) 4 (b) -16 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 3*p**5\/4 + 5*p**4\/6 - 11*p. What is the third derivative of f(v) wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49405\/6 + 8235. Let r(j) be the second derivative of -5*j + 0*j**2 + 0 + z*j**3 + 1\/2*j**4. Let q(b) = -2*b. Give q(r(g)).\nAnswer: -12*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19323 + -12039. Let q = y - 3827. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 + 2806209*c**2 + 44899920*c + 179600448 = 0. Calculate c.\nAnswer: -8, 935419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:33 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r. Let z(i) = 11*i**2. Give z(f(s)).\nAnswer: 275*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/9 > 20.3849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*v = -18, 30*p - 23 = 34*p + 3*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 924*k - 2. Let f(u) = -8365*u. Give a(f(g)).\nAnswer: -7729260*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252) + 0)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 3 - 3)*(3 - 3 - 2*p) + 1 - 3*p - 1 + (3 - 2 + 1)*(53432 - 540*p - 53432) as l*p + d and give l.\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1840 - -3616. Suppose 0 = 11*n - 7*n - x. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c - 244. Determine h(-33).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.858 + 11. Let y = o + 0.858. What is the nearest to 12 in -1, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110000 (base 2) to base 9.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12442523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1944698.\nAnswer: 2, 7, 17, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 - 318. Which is smaller: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2264?\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 178, 204, 246, 304, 378, 468, 574?\n\"Answer: 8*o**2 + 2*o + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 231175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 5\/3, -7, 0.34, 171?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -303a?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 21)\/(11\/(-4490508)*-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 32. Give m(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7209 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 655392233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 + 0 - (-10 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 4*l + 2*x, 4*l - 5*x - 10103 = -10169 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*d = 4*m - 16, -8 = -4*m + 4*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -63, 3, 1, -1, 27 in ascending order.\nAnswer: -63, -7, -1, 1, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -0.1 (c) 0.7 (d) -1753 (e) 2 (f) -0.38\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -5, -1\/37?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**3 + 5*x**2 + 9*x + 34. Let a(l) = l**3 + l**2 + l + 3. Let v(i) = 10*a(i) - f(i). Determine v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18*o - 1. Let w be b(1). Let v = w + 25. Suppose -n = g + v, -2*n + n + 21 = -2*g. Does g = -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 13*q**3 + 0*q**3 - 2 + 0*q**3 as d + u*q**3 + a*q**2 + j*q and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70967021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 5*i - 9. Let l(p) = -3*p**2 + 3*p - 4. Let u(c) = 2*k(c) - 5*l(c). Does 15 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 3\/5*a**5 + 1\/3*a**3 + 0*a + 10\/7*a**7 - 18*a**2 + 67 + 0*a**4 + 0*a**6. Find the third derivative of q(y) wrt y.\nAnswer: 1200*y**3 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-2 - (9 + -6)) + (9 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 781. Let v(d) = -7*d - 2290. What is 11*h(p) + 4*v(p)?\nAnswer: 5*p - 569","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21750 and 42225.\nAnswer: 12245250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*a + 638 = 0, -l + 9*a - 14*a + 246 = 0. Is l at least as big as 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.83729kg in micrograms?\nAnswer: 82837290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*m + 21 = -4*y, -1 = y - 4*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/364 and -8\/143.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 26 + 17*a**2 + 3*a - 26. What are the prime factors of i(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/4 - 13*a**3\/6 + 2*a**2 + 2*a - 3. What are the prime factors of m(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520 is divided by 2466.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 507\/26 + -15 + 5\/2. Let j(x) = -x**2 + 10*x - 19. Let y be j(h). Solve -3*p - y*p = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1160, 1159, 1158?\n\"Answer: -s + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/35799?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -y = q, -3*i = i + 4*q - 48. What is the least common multiple of 8 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492004 = 492000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 18*f**2 - 96.\nAnswer: 3*(f - 2)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-20)*(-8 + 9\/18). What is the closest to 1\/4 in 5, q, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g*g\/g**9)**(-21\/5) assuming g is positive.\nAnswer: g**(315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 87 = -3*w, 2*w + 4*n = -7 - 51. Is w less than or equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 578 - -635. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 30, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3715, 3251, 2477, 1393, -1, -1705?\n\"Answer: -155*n**2 + n + 3869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -4*u + 17. List the prime factors of 291\/18 + (-3)\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*p - 4 - 77*p + p**2 - 2*p**3)*(-2*p**2 + 4 - 4).\nAnswer: 4*p**5 - 2*p**4 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 2*j, -3*n - 5*j + 21 = 0. Let u be n\/20 - 6\/10. Is (u + 26)\/(8\/12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43103737 to the nearest integer?\nAnswer: 6565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7*m - 2 = -2*m, 2*q - 4*m - 4 = 0. Let h(z) = -z**3 - 7*z**2 + 3. Let y be h(-7). What is the units digit of y\/q + 3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43325340?\nAnswer: 2, 3, 5, 643, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:43 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - (2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43963, 43936, 43905, 43870, 43831?\nAnswer: 43788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 7) to base 11\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.9. Let r = -4\/1467 - 247907\/5868. Let j = -42 - r. Which is bigger: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1. Let f(h) = -103*h - 1. Give -f(t) - 6*i(t).\nAnswer: 103*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62287 or 3301171\/53?\nAnswer: 3301171\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 42195667?\nAnswer: 1\/42195667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/18095)\/(5\/(-165))?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*a**2 + 2*a**4 - 115*a - 315*a**2 + 118*a + 1 as d*a**4 + k + s*a + x*a**2 + i*a**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -22771*m - 3848291. Determine s(-169).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)*q**(-1)*(q**(-1))**(1\/27) assuming q is positive.\nAnswer: q**(-298\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(700) + sqrt(700) + (sqrt(700) - ((sqrt(700)*-3 - sqrt(700)) + 0)))**2 + sqrt(700) + sqrt(700) + 3 + 2 + sqrt(700))*4.\nAnswer: -686100 - 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:00 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/6*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Let z(t) = t**3 + 11*t**2 + 14*t - 78. Let q be z(-8). Solve 0 = 3*n + q*n - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(847) - sqrt(847)*4) + sqrt(847) + -2 + (sqrt(847)*-3 - sqrt(847)))**2.\nAnswer: 924*sqrt(7) + 30541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p + 546 = -3*t, -4*p = -t + 718. Let k = p - -204. What is the highest common factor of k and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1527 + 1.03.\nAnswer: 1528.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.162 + -0.338. Let j = 5.9 + -14.9. Let y = 8.6 + j. Sort 0, y, l, -2 in increasing order.\nAnswer: -2, l, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2706673.5276 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -152*g + 20. Suppose 4*t + 4*r = 2*t + 24, -4*r - 18 = -5*t. Let k be y(t). Let d = 2185 + k. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 + 27 + 230)*(3 + 2*g - 3).\nAnswer: 764*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 + w + 6. Let g be 1\/(-6) - (-4)\/24. Let a be j(g). What is the second derivative of -a*n - 3*n**3 + 3*n + 0*n wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 m when three letters picked without replacement from ldham?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53049 = 2*g + 3*d - 3803, -142163 = -5*g + 9*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 32 = -2*u. Let t = -865 - -867. Sort 3, u, 1, t.\nAnswer: 1, t, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.22 (b) -3\/5 (c) -2 (d) 4\/3 (e) -0.4 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4 - 5661*h**3 + 17*h**2 - 1737.\nAnswer: -48*h - 33966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(15)\/((sqrt(363) + sqrt(363)*-3 - sqrt(363)) + sqrt(363) - sqrt(363)) + sqrt(30)\/sqrt(6)*-5*3))**2.\nAnswer: 19681280\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p = 150*p - 72*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 3*j - 3. What is n(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47741037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**3 + 5. Let p be (0 - -1)\/(2\/4). Let x(d) = 0*d**3 + 2 - 3 + 3 + 2*d**3. Suppose 0 = -6*j + j - 5*s, 0 = 2*j - 5*s + 35. What is j*x(a) + p*v(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, e: 1, r: 4, a: 2, u: 1}. What is prob of sequence gera?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 - l. Let f be q(-1). Suppose -8 = -x - 4, -2*x = r - 22. Let h be ((-4)\/(-5))\/(r\/35). Solve s - f = -h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -18 + 43. Let n be 13\/(-78) + ((-65)\/6)\/z. Suppose 5*g + n*a - 474 = 3*g, -g + 4*a = -252. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -0.2 (c) 0 (d) -0.0154 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858146818.\nAnswer: 2, 11, 17, 73, 68059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*x + 11*x - 522. Solve 16 = x*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3416400 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7916, 7483, 6718, 5627, 4216, 2491, 458, -1877?\n\"Answer: u**3 - 172*u**2 + 76*u + 8011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14036.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*t + 181 = 4*q, -3*q + 103 = -t. What is the remainder when 173 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 12*p**2 - 8 - 4*p + 6*p**2. Let o(r) = r + 1. Let i(z) = f(z) + 4*o(z). Differentiate i(c) wrt c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 141?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 0.76. Suppose 0 = -i + 4 + 8. Let m = 158.9 - 159. What is the smallest value in i, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/40 + d**5\/2 - 13*d**4\/8 - 12*d**3 - 77*d**2\/2 - 121*d. Let w(g) be the first derivative of c(g). Factor w(m).\nAnswer: -3*(m - 8)*(m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3095?\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 542485 or -10?\nAnswer: 542485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4 - i**2 + 5 - 6*i + 13. Let t be q(-9). List the prime factors of ((-3)\/(-6))\/(((-5)\/234)\/t).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - -3058?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 2*s - 5*s)*(-6*s + 14 - 14) - s - 4*s**2 + 3*s + 5*s**2 in the form o*s + h*s**2 + u and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 3 + 3 - 2*t + 2*t + 3*t**2 + (2*t - 2*t - t)*(-2*t + 4*t - 3*t) + 3 - 3 + 2*t**2 - 2*t**2 + 0 + 0.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 + 960. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 5*j - j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10621901.\nAnswer: 461, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {t: 3, n: 1, v: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14823, -78703, -185171, -334227, -525871, -760103?\nAnswer: -1036923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1786\/2302917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 293 and 6?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2690 and 358039?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8353.333 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - -3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16932 + -16906. Suppose 4*a = 461 - 69. Calculate the remainder when a is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*n + 27*n + 6*n + 637 = 0, 0 = 2*k + 4*n + 64 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36046?\nAnswer: 2, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(0 + sqrt(80)*5 + ((1 + sqrt(20))*3)**2))*-3.\nAnswer: -1704 - 504*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1111011101 (base 2) to base 8\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = 3*f, -4*f - 3*s + 0*s = 6. Let b be ((-2)\/2)\/(f\/168). Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 22*m - 5. Is z(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 - 2281*f - 13287. Determine g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4\/4 - 4*w**3 - 19*w**2\/2 + 14*w - 21. Let l be x(-10). Differentiate -1 + l*b**3 + 9 + 17*b**3 wrt b.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-30)\/9)*(39\/10)\/((-1365)\/(-525))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14375, -28758, -43141, -57524?\nAnswer: -71907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -29. Suppose b - j = 5*n, -2*b + 96 = 4*n - 2*n. Let z = 91 - b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -176\/13 equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 132*v - 1257 + 168. Solve v*a - 59 = 68*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 2}. Give prob of sequence yy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 - -3) + -13 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(700) + (-1 + sqrt(700) + sqrt(700))**2*-4 + -1.\nAnswer: -11204 + 170*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 - 1410*x**4 + 124505*x**3 - 4050540*x**2 + 33161540*x + 83544000 = 0.\nAnswer: -2, 16, 59, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 60 + 48 + 6.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 1005, 1130, 1257, 1386, 1517, 1650?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c - 13*c - 5*c)*(-1 - 1 - 1) + 0 + 3*c + 0)*((0 + 0 + 2)*(4*c - 4*c + c) + 11*c + 16*c - 13*c).\nAnswer: 768*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/11709 and -56\/183?\nAnswer: 714249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -113. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -673*i - 2023. Calculate s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 5:57 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -61.117 (b) -2\/3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.4362441\nAnswer: -1.7449764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/120 + u**4\/4 + 4*u**2. What is the second derivative of n(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**6\/35 - 5*z**5\/14 - 17*z**4\/14 + z**3\/21 + 30*z**2\/7 + 1331*z. Solve p(w) = 0 for w.\nAnswer: -5, -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((m*m**23*m)\/m))\/m)\/m**10)\/((m\/(((m*m**(-10))\/m)\/m*m))\/(m\/((m*m**(-1\/5)\/m)\/m))))**(-7\/4) assuming m is positive.\nAnswer: m**(749\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 + 397. Suppose -2090 = -n*p + 2630. What is the greatest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -84*d**2 - 103*d - 326. Give z(-3).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-357)\/(-84) + 2\/(-8). Solve 2 = 2*p + 2*s, 3*s = 4*p - s - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 311, 5\/4, 1, 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -11*q**4\/4 - q**2\/2 + 11. What is the second derivative of w(x) wrt x?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5226 = -95*u + 9*u - 48*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k. Let q be 4\/2 + -2*3. Let g be (q\/2*-1)\/2. Let o be m(g). Solve -o*w = -4*c, 3*c + c - 2*w + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647661763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 129962 (base 12) in base 13?\nAnswer: a9aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 251*u - 6. What are the prime factors of k(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + f + 0*f)*(-127 + 19 - 136 + 2)*(2*f - 2*f - 2*f) to h*f**2 + g*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-1)\/(v**(-1\/5)\/v**(2\/11)) assuming v is positive.\nAnswer: v**(131\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - 2.9. Let a = s - -1. Let z = a + 7. What is the second smallest value in z, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-18) - 478\/12. Let w = 78 + r. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/24 - 10)\/(1625\/(-52) + 5).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 25. What is the smallest common multiple of 12 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49324, -98689, -148090, -197521, -246976, -296449, -345934?\nAnswer: -395425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2970 + 2946 + (-1 - 8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -2129, -4700, -8299, -12926, -18581?\nAnswer: -25264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:50 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -34. Factor -q*d + 1392*d**3 + 14*d**2 + 13 - 1394*d**3 + 5.\nAnswer: -2*(d - 3)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*-5*246\/45. Let m = 133 + -195. Let a = b - m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**4 + 0*s**4 + 4*s**4)*(-62 - 103 + 89) in the form f*s**4 + a*s**2 + w + p*s + x*s**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.19 and 4.\nAnswer: -76.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6282 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 - 12 - 11*j**2)*(0*j + j + 0*j).\nAnswer: -11*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyhnhyimnynnn. What is prob of sequence nhny?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*l = 15, -5*y + 2*l + 92 = 86 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 63*d**2 + 49*d + 684. Give w(64).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1139817 in decreasing order.\nAnswer: 1139817, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26786118 by -4.\nAnswer: -13393059\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -12\/5935, 6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 31*u**2 + 66*u + 7. Let v be a(-33). Let t(z) = -4*z + 0 - v*z - z - z - 2. Determine t(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 20. Suppose -2*b = w + b - 73, -w - b + 71 = 0. What is the highest common factor of w and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:14 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 10*v + 24. Calculate m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-2340)\/1638)\/((-8)\/(-14)))*-33.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*-6 - -7. Let d be (0 - j) + 21\/3. Determine h so that -2*h - 4*h**4 + h**2 + 3*h**4 + h**d + 2*h - h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.42l in millilitres?\nAnswer: 600420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1043609 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 166743700 to the nearest one million.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let r(b) = 4*b. Let l be -2 - (-3 - -1 - -2). Let s be l\/(-3)*(1 - 4). Let q be ((-1)\/(-2))\/(s\/4). Determine q*r(v) - 2*t(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and -7?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 23 - 127 = 0. Suppose -6*x = -x - n. Solve -2*d = -2*g + 2, d - x*g + 2 = -11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14*s**3 + 22*s + 22. Let v(u) = u**3 - u - 1. Suppose 2*g - 16 = 2*z + 2*z, -4*g - 4*z = 4. Give g*k(p) + 44*v(p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/3 + 626363*t**2 + 3758182*t\/3 = 0. What is t?\nAnswer: -2, 0, 1879091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:07 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j - 5. Let m be g(0). Suppose k + 25 = -5*f + 3*k, -2*k = -f - 13. Let y = f - m. Solve -2*q + 5*n - 7 = y*n, 3*q = -5*n - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15717 and 16182.\nAnswer: 2734758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 3. Let v(l) = -4*l + 0*l + 6*l - 1 + 3. Let o(t) = -3*q(t) - 4*v(t). Determine o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15 + 24 + 3*x**2 - 2*x**3 - 2*x**2 + x**2 + 8*x**4. Let q(u) = -u**3 + u**2. Let d(k) = -l(k) + 2*q(k). Differentiate d(v) with respect to v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-100 + 2)\/(1*8\/(-28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3\/3 + 2*m**2 - 10917*m. Suppose 6 = -0*t + t. Give u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97450 is divided by 1680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 791, 1137, 1439, 1685, 1863, 1961, 1967?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20869\/4 or -5419?\nAnswer: 20869\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.2 - 39. What is the nearest to o in -2\/15, 3, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 21.064 and 3.072.\nAnswer: 24.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {b: 7, c: 1, k: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-2*x**2 + 2*x**2 + 2*x**3) - x**3 + 0*x**2 + 0*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 + 7*p + 4. Let v be k(6). Let s = 14 + v. Calculate the remainder when 47 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121 by -1.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -319*z - 53. Is q(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-495) - (-2522899)\/31545.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + i - 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -37. Let q(v) = -270*v + 2435. Let l be q(9). Solve h*d + n = -2, 18 = -5*d + l*n - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-3 - 1) + 3. Let k = -7\/17 + 69\/85. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 96, 0.5, -581?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3 - 5)*(-3*f + 5*f - f) - 278500 - 1691*f + 278500 in the form b*f + y and give b.\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 j be 408\/(-7) - 18\/(-63). Let f be j\/9 + (-24)\/(-54). Let s be 38\/57 - 62\/f. Solve 4*i + 1 = -s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/80 - p**4\/32 + 13*p**2. What is n in k(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - 242.2. Let u = o - -243. What is the closest to u in 1\/7, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 570*u + 1. Let r(d) = -3*d. What is z(r(j))?\nAnswer: -1710*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1338657 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -94. Solve z*y + 5 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525364.\nAnswer: 2, 7, 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*h + 77*f**2*l**2 - 2*f*h*l - 2*h**3*l**2 + 18*h**3 + 6*h**2 - h*l**2 wrt l.\nAnswer: 154*f**2 - 4*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let p be 2 - (z + (-1)\/(-2)). Let m = -3.7 + -0.3. Put 0.4, p, m in descending order.\nAnswer: 0.4, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337418449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g, 0*h + 340 = 5*h + 5*g. Let n = h - -4. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -9*g**2\/2 - 6*g - 4. Let r be n(-7). What is the greatest common divisor of 38 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110001001101 (base 2) to base 4\nAnswer: 20301031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 11*x + 2. Determine j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 + -3.81. Let l = 0.39 - c. What is the nearest to -1 in -2\/21, l, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 + 36*k - 432.\nAnswer: -3*(k - 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**4\/4 + i**3\/3 - i**2\/2 + 2*i - 8. Let c be r(0). Solve -o + 2 = c*o + 2*p, -4*p = 2*o - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304565*0.11.\nAnswer: -33502.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:22 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783 and 183951?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 2637 = 2*t - 3*n, 5*n - 4998 = -4*t. List the prime factors of t.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 71?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 5*a**3\/2 - a**2 - 3744*a. Determine k(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462992677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1152 + 1160. Solve -m = 3*j - v, j - 5*v = -7*v + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/4 + 109*r**4\/2 - 86163*r**3\/4 + 895230*r**2 = 0. What is r?\nAnswer: -435, 0, 49, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (1 + 0)\/(4\/8). Suppose -2*h + 3*q - 9 = -44, -p*h = 5*q - 59. Let r = 16 + -10. Calculate the remainder when h is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 8*g. Let c be q(-8). Solve 0*a - a = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29836 or -30502?\nAnswer: -30502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.31 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*o + o - 1)*(-25*o + 15*o + 31*o) + (5*o + o - 5*o)*(2*o - 5*o + o) + 2*o**2 - 3*o**2 + 2*o**2.\nAnswer: -64*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 5, p: 4}. Give prob of picking 1 x and 1 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 655 + -5905\/9. Is -0.1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.467631 + -48.453331. Let z = r + 48. What is z rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475.5439 rounded to zero decimal places?\nAnswer: 6476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23444 and 60.\nAnswer: 351660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*u = 28, -22 = 4*x - 6*u + 5*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 2, -136 in ascending order.\nAnswer: -136, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 911 + -907. Let t(y) be the first derivative of 0*y**5 - 17\/6*y**6 - 3\/2*y**2 + 0*y**3 + 0*y**v + 0*y - 8. What is the second derivative of t(j) wrt j?\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukukqkuuuukuukuukk. What is prob of sequence uqkk?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1123368*n*s**2 - 8*n*s - 1055*n + 2*s**3 - 27 wrt s.\nAnswer: -2246736*n + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 34002343?\nAnswer: -34002400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 0*n + 0*n)*(33 - 20 + 72) + n + 4*n - 4*n + (n + n + 0*n)*(2 - 1 - 3) to the form q + j*n and give j.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1080 and 139\/1200.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 - 131023*i - 5894010 = 0 for i.\nAnswer: -130978, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1071.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111110100001 (base 2) to base 4.\nAnswer: 3332201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 0.15\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5829 - 0.\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {m: 8, j: 4, h: 2, g: 1, k: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2\/7, -16, 0.5, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2848.97 - -2849. Are q and 2.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459908399.\nAnswer: 421, 1092419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 70 (c) -5 (d) -0.5 (e) 0.117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*x - 28, 10498*x - 10501*x + 0*a + 5*a + a - 48 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -35. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117d7 (base 14) to base 5\nAnswer: -2331341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -27. Let v(x) = -203*x - 3. Is 26 a factor of v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let u = 8 - 11. Let c = w + u. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -p + 12, p - 24 = -p - 3*i. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11636008*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987, -1007, -1049, -1119, -1223, -1367?\nAnswer: -1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 756392.9 millilitres in litres?\nAnswer: 756.3929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-32))\/((-4)\/(-24)*29\/(3248\/24)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7451 - -5?\nAnswer: -7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 74. What are the prime factors of (-12)\/(-4) - (2 - (51 - t))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 148 = -n - 173, 4*m - 36 = 4*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.097458*-13\nAnswer: 27.266954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*i + 38*i - 6. Suppose 5*d + 15 = i*f, 2*d = 2*f - 0*d - 10. Suppose -t + 930 = f*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.7 + 31. What is the nearest to -0.1 in r, 0.4, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 24. Let l(z) = 45*z - 218. What is the remainder when f is divided by l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 59 = 141 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*d. Let a = 2 + d. Let z = 7 - a. Solve -s + 4 = z*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6730 + 7587. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 2 + (10 - 56) + (40 - 78)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1134 and 213678?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 21*u**2 - 19*u + 71. Let j be m(-22). Which is smaller: 25 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/12 - 13*t**2\/3 - 169*t\/4 = 0. Calculate t.\nAnswer: -39, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n + 1. What is the second derivative of 1 - t**2 + 23*t - 18*t - n wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 0*u**3 - 12 + 3 + u**3 + 0*u**2 - 7*u**2. Let r be d(7). Is ((-127)\/r)\/(1\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -1\/5, -0.1, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -66.67.\nAnswer: -57.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 65. Which is the closest to -3? (a) 1\/5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**4 + 10*y**4 + 2*y**2 + 5*y**2 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:56 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 3*j**2 - 3*j - 3. Let u be v(-2). Let k be ((-80)\/u)\/((-2)\/9). Solve 12 = 2*l - 5*m, -l - k = -m + 6*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2915699 + 4315699. What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30880, 31093, 31458, 31975, 32644, 33465, 34438?\nAnswer: 35563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 14) to base 8.\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 41*q**2 + 82*q - 152. Determine j(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-5)*(-530)\/159\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 - 224. What is the closest to 2\/7 in 0.09, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40599 from -191579383.\nAnswer: -191619982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:57 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3360)\/(-1920))\/((-63)\/1224).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71444.32ng to grams.\nAnswer: 0.00007144432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 55 - 25. Suppose u - 3*r = 43, -9*r + 4*r - 53 = -u. Let v = h - u. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.99962 + 35. Round f to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(405\/42))\/(((-1342)\/61)\/66).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2355 - 2346. Solve -u*p - 55 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -30*c**3 + 2*c**2 + 8*c - 1. Let a be 55\/22*(2 + 28\/(-10)). Is z(a) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8.34. Let w = l + 0.34000177. Round w to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 5:21 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -938, 27, 1\/5, -4, 1 in increasing order.\nAnswer: -938, -4, 1\/5, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose k*z + 2 = 22. Suppose -b + z = -0*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112434411042 + 3?\nAnswer: -112434411034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -2*(((-1 + sqrt(700) - sqrt(700)) + 0)*5)**2).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 390, 715, 1028, 1323, 1594, 1835, 2040?\n\"Answer: -w**3 + 332*w + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 2 + 0)*(1 + 1 + 0) + 3 - 4 - 1)*(-3*m + 40 - 43 + 5*m) in the form v + d*m and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:59 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h + 2. What are the prime factors of d(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqqa when four letters picked without replacement from qqeeqqqqeqqeqatquuqe?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g - 2. Let d(a) = 2*a**2 - 1244920. What is r(d(y))?\nAnswer: 30*y**2 - 18673802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.98 - -0.02. Let y = 10 + -11.5. Let w = -0.5 + y. What is the biggest value in b, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 3:32 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from {x: 3, j: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:24 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 311610 and 69668805.\nAnswer: 11985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202211 + 12001?\nAnswer: 221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 141.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -1\/3, 16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 3, t: 2, l: 1, g: 4}. What is prob of sequence ng?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5689517*v**4 - 6297821?\nAnswer: 22758068*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 1217.3262200179?\nAnswer: -1217.0262200179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:48 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201004369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.279 + -0.179. Let w = -9.4 + y. Sort -3, w, -5 in ascending order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1228 and 14.144882.\nAnswer: 1242.144882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 13*u**2 - 4*u - 26. Let q be f(-13). Let i be ((-2)\/(-2))\/((-6)\/(-78)). Calculate the highest common divisor of i and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1776*i**2 + 667*i**2 + 2878*i**2 - 392*i**2.\nAnswer: 4929*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392 + 264. Let n = -108 - q. What is the second derivative of -48*a**2 - n*a**4 + 48*a**2 + 29*a wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Sort 225, 1\/178268, 0 in descending order.\nAnswer: 225, 1\/178268, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*4\/(-40) + 1. Is v not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6749 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 85 = 83 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263.26 - 272. Let z = 8.5574 + g. What is z rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.8 - 18.6. Let d = l - 28. Put d, -1\/19, 4 in increasing order.\nAnswer: -1\/19, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12347 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, -97, -157, -209, -253, -289, -317?\n\"Answer: 4*c**2 - 80*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06218 and -1.368.\nAnswer: 0.08506224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 3. What is the remainder when 10 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/12 - -4) + 50\/(-4). Which is smaller: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 11, 3.\nAnswer: 3, 11, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12*u**2 + 3. Let t(v) = -v**2. Let c be 10\/6 - 2 - 222\/333. Calculate c*d(p) - 6*t(p).\nAnswer: -6*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 21*u + 67. Let s = -177 - -155. Let a be k(s). Sort -2, 4, a in ascending order.\nAnswer: -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14572322 is divided by 141?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a**4*w - 291*a*w**2 + 140*w**2 + 3*w - 5 wrt a.\nAnswer: -56*a**3*w - 291*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 + -231. Suppose u = -4*v - z*v + 15, -15 = 3*u. Sort -5, 0, 1, v in descending order.\nAnswer: v, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10859 is divided by 1023.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 28*o - 1 - 15*o - 8*o. Calculate the remainder when x(-2) is divided by -2*1*-2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*t = 0, 3*t = 3*w + 5 + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/95)\/((-80)\/30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 - -0.68. What is the biggest value in b, -0.3, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/23 equal to -0.00533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 14) to base 4\nAnswer: -21031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, b: 3, z: 4}. Give prob of picking 1 i, 1 b, and 1 z.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 1. Let j be s(2). Put 5, j, 21 in increasing order.\nAnswer: j, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k, -c + 0*c - 2*k + 20 = 0. Let i = 4 - -8. Calculate the remainder when c is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.4. Let v = 641 + -111.9. Let p = 529 - v. What is the closest to p in 1.7, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in 0.3, 13, 2\/7, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/120 + 2*i**5\/15 - 17*i**4\/24 + 4*i**2 + 187. What is j(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = -17*i - 66 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -531 - -530.99997783. What is y rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from ijjjrtarjxtrjttj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 23. Let z be m(10). Let h(k) = -k**2 - 6. Let y be h(-5). Let j = z + y. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*f + 10*f - 1912 - 14045. Solve 584*k = f*k - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581543, -581537, -581505, -581447, -581363?\nAnswer: -581253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247\/((-734825)\/(-510))*((-2)\/30)\/(-1).\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3179*t**3 + 7*t**2 - 12032*t + 1 wrt t?\nAnswer: -19074*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*c + 362*c = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32439 divided by 1015\nAnswer: -32439\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsff when four letters picked without replacement from ffgffffrffrsffmffg.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -51*u**5\/10 - 35*u**2\/2 - 59*u + 2. Differentiate c(b) wrt b.\nAnswer: -306*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 279761492*w - 9783311550758258 = 0. Calculate w.\nAnswer: -69940373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 102.47. Let c = d - -0.4674. What is c rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 83)\/(-3)*(-80)\/360.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21611251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b - 4*d - 158 = 0, 3*b - 5*d - 495 = 0. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1791337?\nAnswer: 43, 41659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -256 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 302202 and 1304.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*m*r*v**2 + f*m - f*r**2*v**3 + 2*f*r**2*v + 9*m*r**2*v**2 + 2*m*r*v**2 - 2*m + v**3 wrt r?\nAnswer: -2*f*v**3 + 4*f*v + 18*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 48*z**2 + 233*z - 210. Calculate h(-20).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -98 (b) 4 (c) 2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/149))\/j**36*j**(-15)*j*j**(6\/5)*j)**(-30) assuming j is positive.\nAnswer: j**(204786\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 14049757.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750*t - 1782*t + 38336 = 0. Solve 0 = 1192*x - t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 33. Let b = 1892 + -1861. Give h(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/31321?\nAnswer: 1\/31321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/8*2\/10. Let y be 20\/(-6)*(-9)\/6. Let i = 9.73 - 14.73. Put y, i, h in descending order.\nAnswer: y, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-14))\/((-155)\/124). What is the nearest to l in -9, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2 + 2*g - 3 + 0 - 3*g. Let t be n(2). Sort t, -0.2, 2 in descending order.\nAnswer: 2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 + 5*l - 2. What are the prime factors of a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-246)\/(-5) + 3\/(-15) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddaaaaaaadaaaaa. Give prob of sequence dkd.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*o - 23, 341*o - 361*o = -80 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7115*o**3*p**4 + 6621*o**3 wrt p?\nAnswer: 28460*o**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*r = 28, 4*r - 1 = 3. Suppose 5*t - j = 29. Sort -4, t, 1.\nAnswer: -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2. Let m(u) = -57017*u + 57017*u - 20*u**2. Give p(m(q)).\nAnswer: 1600*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/(-59)*(-1)\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:58 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2096 + -2097. What is the closest to v in 5, -166, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-3)\/sqrt(11) + sqrt(13) + -1*sqrt(13)*6)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + m + 2, -m + 3*m + 10 = 0. Let d be (3 - 2)\/4*4. Solve -h*w + 2 = -d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618118?\nAnswer: 2, 309059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 724600 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -265, -376, -467, -532?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*p + 96*p + 90*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 37 = 5*l + 11, 108 = 5*m + l. Let v be (-3)\/m + 13611\/21. Suppose 9*n - v = -3*n. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/1291085 or 0?\nAnswer: 52\/1291085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + ((5 + 1 + sqrt(832))**2 - sqrt(832)) + -2.\nAnswer: 88*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 + 88*k**4 - 1768*k**2 - 4*k + 1680 = 0. Calculate k.\nAnswer: -21, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 5, h: 3, q: 1, j: 2, l: 1}. What is prob of sequence hqhj?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:10 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/5, 19\/5, -46, -1\/2, 3\/5 in decreasing order.\nAnswer: 4, 19\/5, 3\/5, -1\/5, -1\/2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + s. Calculate q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 551 + -33059\/60. Let l(b) be the third derivative of 0 + 1\/8*b**4 - 1\/3*b**3 - 2*b**2 - p*b**5 + 0*b. Factor l(q).\nAnswer: -(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -0.3, -0.1, 3\/4, 0.2, -3065\/2?\nAnswer: -3065\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 21*k - 104. Let z be d(-26). Calculate the greatest common factor of 4706 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -5*t**4\/12 + 5*t**3\/2 + 12*t. Factor g(r).\nAnswer: -5*r*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1279 and 0.1.\nAnswer: -0.01279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38002 - 76003\/2. Which is the biggest value? (a) 2\/7 (b) k (c) 2\/51 (d) -22\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-386021)\/8769 - -44)*90\/(-300)?\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n = 73*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 2*x**2 + 2*x + 3. Let j be g(-1). Let c = 10 + j. Calculate the remainder when 31 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 908 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*a - 4 + 2 + 1)*(2*a**2 + 2*a**2 - 2*a**2) to the form w + f*a**2 + z*a**3 + p*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4371942 by 2.\nAnswer: 2185971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*l**3*z - 2*g*l**2 - 2*g*l*z + 1654*g*z + 5*g + 24*l**3 + 13*l wrt z?\nAnswer: -3*g*l**3 - 2*g*l + 1654*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 76 = 24*p. Is 13 a factor of (-18)\/p*3432\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 9. Let x be p(-3). Suppose -37 - 17 = -4*u + 2*j, 5*u - 4*j - 63 = x. Let l = u - 11. Sort 1, l, -1, 5 in decreasing order.\nAnswer: 5, l, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334895 greater than 335136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 95.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 1. Let t(a) = 2*a + 2. What is 3*m(u) + 2*t(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 487*j**2 + 1608*j**2 + 483*j**2 + 204*j**2 - 11.\nAnswer: 1808*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2*k**2 - 19*k - 1. Determine c(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = -6*j + 399. Suppose -2*i + 6*i = 2*x + 14, -i = 2*x - 11. Solve -i*w - 31 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0428 - 0.051. Round x to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1. Let r = p + -0.1. Let j = 829\/2 + -414. What is the third smallest value in -0.2, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 45 = -5*r, -23*r + 26*r + i + 31 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12952, 51814, 116578, 207238, 323788, 466222, 634534, 828718?\nAnswer: 1048768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-2) - 82\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 676 - 709.444. Let s = -0.444 - a. Is s < -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2*g - 3*g + 7*g)*(15*g**2 + 2*g - 2*g**2 - 6*g**2).\nAnswer: 28*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*u + 112, 3*j + 5*u = 4*u + 107. Suppose 0 = 8*z - 10*z - j. Does z = -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.4 - 1.4. Let i = 125 - 119.9. Let u = v - i. Which is the biggest value? (a) u (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -5bb50b7?\nAnswer: -5bb50b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*1*-1 + sqrt(2736))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-4 - -7) + 2. Factor -11*r**2 - 4*r**2 + l*r**2 + 8*r + r**2.\nAnswer: -4*r*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/((p\/(p**(-6)*p))\/p)*(p**(2\/3)\/p)**41*(p**(3\/2)\/p**(-1\/2))\/(p*p**(-1)\/p)**(19\/3) assuming p is positive.\nAnswer: p**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2763 - 4532 + 1323 + 3088)*(v + 0*v - 3*v) to the form u*v + h and give u.\nAnswer: -5284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 122. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxi when three letters picked without replacement from {n: 8, m: 2, s: 4, i: 1, x: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1654*z = -3460*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 22*y + 3 = -18*y, 0 = -2*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95.2 and -2381?\nAnswer: 2476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*f + 105*f**3 + 10*f**3 - 49*f**3 wrt f.\nAnswer: 396*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-415 + 261 + 208)*(-4*c**2 + 6*c**2 - c**2) + c**2 - c + c.\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 1152.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12264, 24531, 36802, 49077?\nAnswer: 61356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/2 - 281*l**2 - 6424*l = 0.\nAnswer: -22, 0, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f = -48*f - 4*t + 240, 4*t - 464 = -4*f. Calculate the remainder when f is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1206556694 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**2 - 6*v. What is n(6)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -1\/2*g**2 - 8*g - 6. Let f be o(-7). Put 2, f, 1, -2 in descending order.\nAnswer: 2, 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(48)\/sqrt(3) + sqrt(16) - sqrt(784)*2)\/(4*-3*sqrt(8)*4).\nAnswer: 5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -18 + 39. Which is greater: -67\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29602398*g**3 + g**2 - 33*g + 1061349.\nAnswer: -177614388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - ((sqrt(240) - -3*sqrt(240))\/sqrt(6) - sqrt(40)))\/(sqrt(16)\/(-1*sqrt(2)) - sqrt(8)) + 0.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 1572 + 1880 = 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 11*u**2 + 6*u + 6. What are the prime factors of w(-4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.5. Let m = 2 - -6. Let u be 3\/36 - (-2)\/m. What is the closest to u in -4, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 3. Let p(h) = -10*h**2 + 16. Let x(d) = 16*f(d) + 3*p(d). Let z(u) = u. What is z(x(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k + 32 = 0. Let n = 32 + k. Suppose 4*g + n = 68. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v - 5*v**3 - 7*v + 2*v**3 wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0746 + 0.056. What is y rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -557 - -892. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**2. Let k be 5*(6\/9)\/((-4)\/(-6)). Let t(u) = -6 - 6*u + u + 3*u - k*u. Let o(a) = 6*a + 5. Let l(h) = 6*o(h) + 5*t(h). Give l(z(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*45\/(-1 + 6). Let z = 84 - n. Let m(d) = -d**3 + 9*d**2 + 8*d - 5. What is the remainder when m(8) is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -53. Let p = -40 - x. Sort p, 1, 3.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x - 9. Let k be 4\/(-10) - 34\/(-10). Suppose 4*j = -k*l + 22, 0 = -2*j - 3*l + 11 + 3. Which is the nearest to 0? (a) -0.2 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 > -1576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 + 35*b**2 + 46*b + 8. Let o be l(-4). Which is greater: o or 764?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0*m**3 + 5*m**2 + 3*m**3 - 5 + 0*m**2. Let b = 72 + 148. Let p = 192 - b. Let d(v) = -16*v**3 - 28*v**2 + 28. Give p*n(i) - 5*d(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28872 (base 11) to base 16.\nAnswer: a011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10731490 divided by -139370.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 17328*g.\nAnswer: -g*(g + 17328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 - 60*z + 310. Let q(h) = h**2 + 3*h + 2. Let n(b) = 5*q(b) - s(b). Determine o so that n(o) = 0.\nAnswer: 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 24*i - 30. Let v be o(25). Let u(a) = 3*a**2 - 3*a - 2. Let l(y) = 2*y**2 - 2*y - 1. What is v*u(z) + 8*l(z)?\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -303922 + 2073985. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, 2, -3, -844 in increasing order.\nAnswer: -844, -14, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:28 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, 3, 425.2 in descending order.\nAnswer: 425.2, 3, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(202 - 91 - 98)*(2*a - a + a).\nAnswer: -156*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -2 - (-4)\/(-3)*3. Let v be (p - 90\/(-8)) + -5. Let g be ((-8)\/(-30))\/(4\/(-6)). What is the nearest to v in g, -2, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t**2 - 109 + 45 + 55)*(t + t - t) in the form s + d*t**3 + c*t + g*t**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (3 + 2)*(-76)\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 766.8318nm?\nAnswer: 0.0000000007668318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5466775 and -1.\nAnswer: 5466774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-280))\/(((-88)\/60)\/((-8)\/10)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 90. Let v = -10.99 - 0.01. Is v >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/15 - (-58)\/10. Suppose 0 = 3*n + 5*v - 42, n - v = -0*v + o. What is the least common multiple of 4 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110415*v - 12 + 12.\nAnswer: -110415*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21680 + 10550. Let b = c + 11130.19189. Let q = b - 0.193. What is q rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31\/(-10) + 3 + 18\/(-220). Let i = -5 + 8. Let m = i + -3.4. Which is the closest to 1\/4? (a) n (b) m (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34603823 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/9 (b) 23 (c) -1\/9 (d) 67 (e) 4\/7 (f) 1\/3 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 816 = 10960. Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094290 to the power of 1\/2, to the nearest integer?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(55)\/sqrt(5) + sqrt(11)).\nAnswer: -10 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 9 - (-3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.91 - -0.09. Let r = c + -6. Which is bigger: r or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-3))\/(-4)*57. Let d = 27 - c. Let g(n) = 73*n**2 + 4*n + 2. What is the remainder when g(-1) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0312? (a) 0.5 (b) -2 (c) 0 (d) 0.4 (e) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 1.1331264?\nAnswer: -7.9318848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let l = -12 + 14. Let y = -3 - l. Which is the nearest to s? (a) 1\/4 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107485735*g*k**5 + 74323110*g*k + g wrt k?\nAnswer: 2149714700*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 397436533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 9*x + 64. Is 2\/x + (-57)\/8*-22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1803949858 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2085469 + 2085258.9722. Let i = -210 - t. Let z = i + -0.032. Round z to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 77\/6 - 83\/(-498). Which is the nearest to g? (a) 2 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*g + 333*g = 2*b - 56, g - 24 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488072 is divided by 162603?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 19\/20*y**5 - 17\/6*y**3 + y**2 + 0*y - 1\/12*y**4 + 14. Find the second derivative of i(x) wrt x.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8*2\/(-12))\/(481\/13468).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**3\/3 - 9*f**2\/2 + 4*f. Let m(d) = -3*d - 6. Let h be m(-5). Calculate the smallest common multiple of 2 and c(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or -87817.7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22853.67 - -22558. Let d = -293 - o. What is d rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiiiiiiiizzqiqqq. Give prob of picking 2 q and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = 0, -9*n + 16 = -3*i - 10*n. Let t(u) = 2*u**2 + 8*u + 17. Let a(v) = 2*v**2 + 9*v + 18. Let z(y) = 4*a(y) - 3*t(y). Does 6 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 74. Let s(y) = -3*y + 77. Determine 6*k(c) - 5*s(c).\nAnswer: -3*c + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + 3 + (sqrt(13) - 1*sqrt(26)\/sqrt(2)))*-4.\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 - 1.5. Let z = -1.3 + v. Let q(b) = b**2 + 9*b - 9. Let f be q(-10). Which is greater: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 23*h**5\/60 + h**2. Let b(r) = 22424 + 22425 - 44849 + 2*r. What is b(c(v))?\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(-2 + 0 + 0) - 7 + 3 + 3)*(-6*o**4 - 2*o**2 + 2*o**2).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-440)\/20)\/(-22))\/(2\/(-16))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 7838*b**3\/3 + 4077*b**2 - 971. What is the second derivative of h(z) wrt z?\nAnswer: 15676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.5 - 12.7. Let b = d + -15.44. What is b rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211 and 95633429?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2369 = -3*a, -2*a - 4783 = -4*n + a. Does 36 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + (-8 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -3646153?\nAnswer: -3646147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -15. Let w be (-13 + -1 + 0)*(-10)\/x. Suppose d = w*d - 24. Solve -6*p + d*p + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (8 + -11 - -7) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231*r**2 - 178 with respect to r.\nAnswer: -462*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 31*g**3\/3 - 4*g - 1. Let h(x) be the second derivative of x**3\/6 - 88*x - 4. Calculate d(h(l)).\nAnswer: 31*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 6, y: 2, k: 3}. Give prob of sequence yv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/11)\/m**3*(m\/(((m\/(m*m**(-1\/4)))\/m)\/m))**(-38) assuming m is positive.\nAnswer: m**(-2367\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -5 - 15\/21. Let y = 122\/3 + -40. Which is the second smallest value? (a) 7 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-18)*(-38)\/57.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 13*l**2 + 13*l + 18. Let z be g(14). Suppose z*m - 272 = 500. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y**4 - 765*y**3 - 2425*y**2 + 2340*y + 900 = 0. What is y?\nAnswer: -10, -6, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 333430461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -511 + 6734. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39000 by -5.\nAnswer: -7800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.93 - 0.83. Is 13 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 74*p**2 - 6*p + 447. Determine h(74).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 5489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 484\/77879 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000767552 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 4, a: 1, t: 4, r: 1, l: 1, n: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 176?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohr when three letters picked without replacement from pojhprprp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -121158.6 minus 0.09457?\nAnswer: -121158.69457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 331*x**2 - 331*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-1))**(-15\/4))**(-2\/163) assuming b is positive.\nAnswer: b**(15\/326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -470*r + 79*r - 605 - 177 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 602677472.01 - -30.\nAnswer: 602677502.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvewvwdvvwllveedwv. What is prob of picking 1 l and 3 w?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 - 121. Solve b*y = -9 + 3, 0 = 2*x + 4*y + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:08 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Solve 0 = 4*f + w + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53369359061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/7 - 360*v**2\/7 + 10044*v\/7 + 46128\/7 = 0. Calculate v.\nAnswer: -4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**8\/1176 + 2*b**7\/245 - 3*b**6\/140 - 21*b**2\/2 - 42*b. Let i(n) be the first derivative of u(n). Factor i(p).\nAnswer: -2*p**3*(p - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**3 - 24 + 24)*(-38 + 71 + 163).\nAnswer: -2352*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -5, 0, 8, 6.2, -7\/2?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 68. Let j be 0\/(3*4\/6). Let q = 0 + j. What is the nearest to 0.1 in -2, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0728472km in centimeters?\nAnswer: 7284.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -167, -304, -441, -578?\n\"Answer: -137*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19975 (base 10) in base 16?\nAnswer: 4e07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-400)\/(-96) + (-1)\/6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1069*k**3 + 1090*k**2 + 2*k + 10642744.\nAnswer: 3207*k**2 + 2180*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 2*a**2 + 0*a**2 - 4 - 21*a**2 + 4 + 2*a**2 - a**2 + 0*a**2 + (2 - 2 - 2*a**2)*(-1 + 0 - 1))*(-4*a - 2*a + 2*a)*(1 - 6 + 1).\nAnswer: -288*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l - 6. Let i be u(4). Let v = 64 - 62. Suppose 32 = v*d - 3*c, 3*d - i*c = 31 + 12. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 139118 and 304.\nAnswer: 1112944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 2*o**2 - 3*o - 1. Let c be z(3). Suppose -2247*u + 17814 + 17807 = 6410. What is the greatest common divisor of c and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 24186*b - 7*b**2 - b**2 + 24201*b as n*b + s + h*b**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 963473 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26904775741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 33, 2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1542990542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = -2*d + 20*d + 15*d. Solve d = 7*b + b - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 4, x: 4}. Give prob of sequence xxee.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x + 19. Let j(g) = 16*g + 19. Let y(k) = 4*c(k) - 5*j(k). Differentiate y(u) with respect to u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.2. Let s be ((-25)\/(-60) + (-1)\/6)*-1. Which is the smallest value? (a) s (b) l (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 626 in -4, 649, 0.1?\nAnswer: 649","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 3:43 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:51 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 4}. Give prob of picking 1 k and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**4 + 2*a**3 - 95*a**2 - 233*a - 173. Let s(k) = 3*k**4 - 3*k**3 + 96*k**2 + 234*k + 174. Let b(f) = 5*s(f) + 6*v(f). Factor b(o).\nAnswer: 3*(o - 7)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2. Let c = 142 - 136. Let v(r) = 10*r**2 - 11*r + 11. Let w(x) = 6*x**2 - 6*x + 6. Let g(d) = c*v(d) - 11*w(d). Determine f(g(j)).\nAnswer: 252*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -3, 0.048, 1?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(12*r - 15*r - 20*r) to the form b + d*r and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052994?\nAnswer: 2, 479, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - 1702\/184 - 38\/8.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*f = -47*f + 4800. Let y be (f\/12)\/((-60)\/36). Suppose 39\/2*i**4 + 0 + 0*i + 33*i**3 + 12*i**y + 3*i**5 = 0. What is i?\nAnswer: -4, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - -5. Let b = h + -28. Find the third derivative of 0*a**6 - 13*a**2 - b*a**2 - 5*a**6 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:00 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119196259.\nAnswer: 8273, 135283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 6. Let i be j(-3). Suppose i*n - 300 = -4*n. What is the remainder when n is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 21*c**2. Let x = 589 + -590. Give y(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 5*f**2 + 2*f - 7. Let i be v(-5). Let b = i - -44. Let s = -1073 + 1091. What is the greatest common divisor of s and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r + 19 - 19)*(-1 + 1 - 3*r).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 28*r + 21. Calculate u(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/2)\/x**4*(x\/(x\/((x\/((x\/(x**(2\/13)\/x*x))\/x))\/x)))\/(x*x\/(x\/(x*x**(-2))*x))*(x\/x**(-1\/3))**(-1\/35)*(x\/(x*x**(-2\/3)))**(-7) assuming x is positive.\nAnswer: x**(-19249\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12718859 + 5*c**3 + 4*c + c**2 - 5*c - 12718828 to the form s*c + w*c**2 + r + n*c**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3 - 792*a**2 = 0.\nAnswer: -264, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9727481 rounded to one dp?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**3 + 3*z**3 - 3*z**3)*(z + 0*z + z) + 15 + 674*z**4 + 16 + 2 - 33 to p*z + l + a*z**2 + g*z**3 + k*z**4 and give k.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 103*b**2 - 245*b - 7. What is v(-49)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*j + 4*w, -19 = 3*j - 7*w + 2*w. Let v be -4*1\/3*j. Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-429) + 5 + 69\/(-65).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/3)*b\/(b\/(b**(-3)\/b))*(b\/((b*b**(-3))\/b))\/b**(-2\/9))**38)**(-36) assuming b is positive.\nAnswer: b**(-2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 552 + 2448 = -2*d, 3*d = -4*w - 2528. Let k be 2\/((-4)\/w - 0). Suppose 0*l = -4*l + k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103\/600 + -1\/200. Which is the nearest to -0.01? (a) d (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s + 16*s + 3*s - 23*s.\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1173 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.280043 litres to millilitres.\nAnswer: 3280.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 6)*(-2*r**2 + 2*r**2 - 2*r**3) + 4*r - 6*r + 35*r**3 - 65*r**3 to the form d*r**2 + z*r**3 + o + y*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Suppose 4*n = -4 - 0. Let y be 15\/(-5) + n + 5. Let q(d) = 10*d + 3. Let k(w) = 5*w + 1. Let a(u) = -5*k(u) + 2*q(u). Determine y*a(j) - 3*s(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 3*g + 175 = 0, -158 - 2 = -5*o - 4*g. Let i = 0 + 0. Suppose 5*p + 29 = n + n, 4*n - p - 13 = 0. Solve -6*v + n*v - o = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25 + (0 + -1)*7. Let w be (6\/j)\/((-2)\/4). Which is the smallest value? (a) -2\/11 (b) 0.4 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4228 - 4245.03. Let b = -17.37 + 0.37. Let m = b - n. What is the third biggest value in m, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45897 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.9 take away 127?\nAnswer: -138.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from www. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -670*c*y**3 - 13862*c*y**2 - c*y - 5*c - 43*y**3 - 5275995*y with respect to c.\nAnswer: -670*y**3 - 13862*y**2 - y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 2*m + 7. Let t(s) = -2*s**2 + 2*s + 8. What is 6*a(b) - 5*t(b)?\nAnswer: 4*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (-4 - 6) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 175. Suppose 37611*a - 37618*a + 49 = 0. Calculate the highest common divisor of a and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1456 and 89216.\nAnswer: 90672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -308*v**3 + 25*v + 309*v**3 - 25*v - 2857 to y*v**2 + c*v**3 + s*v + f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122051*m**3 - 84*m**2 - 64393257*m?\nAnswer: -732306*m - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 562, -4, 0.093 in decreasing order.\nAnswer: 562, 0.093, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 61184 divided by 2\nAnswer: 30592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 231*z + 190. Let u be g(-47). Let a be (-20)\/(-10) - (-2 - 1). Solve y = 5*y + 3*b - u, y + 11 = a*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = -44. Suppose 8*j - y*j = -2004. Suppose -z - 3*z = -5*b - 659, -4*z = 4*b - j. List the prime factors of z.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 743580, 743523, 743438, 743331, 743208, 743075?\n\"Answer: u**3 - 20*u**2 - 4*u + 743603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -32 + 20 + 2 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105743.\nAnswer: 11, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, w: 9}. What is prob of picking 4 m?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 18. Let x be n(8). Solve 0 = -k + 2, x*k - 6 - 8 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159 and 371?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441863890 divided by -6797906.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7*6\/21)\/((-8)\/10)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 961\/248 + -4 - (-15)\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 0*u**2 + 6*u**3 + 9*u**2 - 7*u**2 to the form k*u + a + y*u**2 + s*u**3 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*v + 2*n + 884040, v + 4*n + 294680 = 0. Let b = v - -168980. Round b to the nearest 1000.\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-17811 - 385*d + 17811) + (6 + 1 - 6)*(d - 1 + 1).\nAnswer: 771*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001728 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, 214.17, -0.5, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76536.7 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134 + 154 + 0*q + 9*q - q + 4 - 4 + (q - 2*q + 0*q)*(0 + 2 - 3) - 2*q - q + 5*q + 5*q - 2*q - 2*q.\nAnswer: 12*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/(((75\/(-40))\/(-5))\/((-87)\/(-116)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e2b33e + 2?\nAnswer: 1e2b340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.09, 295, 0.5, 0.4 in decreasing order.\nAnswer: 295, 2, 0.5, 0.4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimmiiiiiiiimiiiiim. What is prob of picking 3 m?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8598 < 8554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1810441512753 + 4.\nAnswer: 1810441512757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15\/(-10 - 13325\/(-1326)) and 357.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -126403*k - 126403*k - 69 + 252807*k. Determine p(22).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-84 - 26 + 198)*(2*f + 0*f + 0*f) to u*f + z and give u.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 3*k**2 + k**2)*(36*k**2 - 15*k**2 + 20*k**2 + (2 + 1 - 4)*(0*k**2 - 2*k**2 + 4*k**2))*(6 - 5 + 0).\nAnswer: -78*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + x - x)*(-8 + 8 + 3*x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -187, -229, -271?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 3 (c) -1\/2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 2)*(0*g**2 - 4*g**2 + 5*g**2)*(-g + 2*g - 2*g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1634\/6 - (2\/6 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 374097591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 2*m**3 + 0*m**3)*(m + 12*m - 5*m) - 3*m**4 + m**4 + 0*m**4.\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 6*p**2 + 2*p - 2. Let x be c(-5). Let f(a) = -a**3 + 13*a**2 + a - 9. Calculate the least common multiple of f(x) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 5 - 8 - 32*b to the form m + o*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 239797.2 micrograms?\nAnswer: 0.0000002397972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o**3 - 110942*o**2 - 743896 wrt o?\nAnswer: -12*o**2 - 221884*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.7. Let t = 0.6 + x. Let o = 0 + 3. What is the closest to 1 in t, -4, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 7453.938?\nAnswer: 74.53938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b - 16181 + 16287 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03475 + 7.03475. What is the smallest value in 0, r, -2\/9, -0.12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259006 and 4148.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(-9) - (52096\/(-384) - -131)) + 65\/45?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-152)\/20)\/(9 - 30170\/3350)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**6\/36 - c**5\/120 + c**4\/12 - c**3\/3 - 2*c. Let z(h) be the second derivative of o(h). What is the units digit of z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**4\/4 - 13*b**3\/3 + 45*b**2\/2 - 4462*b + 7824. Differentiate g(u) wrt u.\nAnswer: -3*u**2 - 26*u + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*g - 161, 3*d - 7*g + 11*g - 451 = 0. Calculate the remainder when d is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2, -5974?\nAnswer: -5974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 7. Let o be s(-9). Let p = 3 + o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 26*f - 168. What is z(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/420 + z**4\/28 + 2*z**3\/21 + 17*z**2. Let y(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piihipiiii. What is prob of picking 2 i and 1 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, 0.44, -0.16, 2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*u = -6, 3 + 3 = 3*u. Is (-2)\/4*f*10 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 6820, 0, 4 in descending order.\nAnswer: 6820, 13, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 281 = 3*g. Suppose g*b - 108*b = -219500. Round b to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*q = -33, 0 = -2*x + 4*q - 21 - 15. Let z be 21\/(-6) + (-4)\/x. Does 15 divide (0 + 27)*(-5)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -21*s + 19*s. Let a be s\/(-35) + 4\/(-35). Suppose -4\/7*v**2 - 2\/7*v**3 - a*v + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99970148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 95 - (1 + 25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 586202 - 287232. Let l be j\/(-126) + (-2)\/9. Let a = l + 4773. Round a to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.1 - 16. Which is the second smallest value? (a) 0.8 (b) m (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3291821 (base 10) to base 16\nAnswer: -323aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 806*p + 5634. Calculate i(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003631 to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 1. Let b(q) = 7*q - 3. Let t(g) = -2*b(g) - 5*h(g). Let x(k) = -7*k - 5. Give -6*t(l) - x(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/7, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1105 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*i**3 + 6*i + 4*i - 10*i - 434*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((10 - -6) + -10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5316a2 (base 14) to base 7\nAnswer: 32604562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330 = -276*b + 6122 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-44))**(-26\/3)\/(f**(-1\/10)\/f**(1\/5)*f**6\/(f\/(f**6*f))) assuming f is positive.\nAnswer: f**(11089\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**4 - 2*b**3 + 24*b**2 + 126865*b.\nAnswer: 48*b**2 - 12*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5797*o + 5794*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 - 150. Let v be (-33)\/(-6) + -6 + w\/6. Let d(k) = -40*k**2 + 11*k - 11. Let l(n) = -8*n**2 + 2*n - 2. Give v*d(b) - 11*l(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220592887?\nAnswer: 220592887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1 - 7*y + 1. Let z(m) = -2*m. Let s(t) = -t. Suppose 9*o + 12 = 2*q + 5*o, q + 4*o + 24 = 0. Let j(f) = q*z(f) + 5*s(f). Give 5*j(u) + 2*k(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Let k be ((-12)\/72)\/((-1)\/(-4)). What is the closest to 1 in g, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84bb8 (base 12) to base 3.\nAnswer: 22212101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/109, -1, 116?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2188.\nAnswer: 10940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186291248 a multiple of 5830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-1 - 1 + 3)*(-5*i - 2 + 2 + 2*i - 2 + 2 + (-2 - 1 + 1)*(4*i + 0*i - 2*i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 86946?\nAnswer: 86946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11549 < -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283966?\nAnswer: 2, 41, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 238.1?\nAnswer: -476.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6181799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 - 14*m**2 + 6. Let g(k) = -5*k**3 + 13*k**2 - 6. Let j(w) = -7*g(w) - 6*x(w). What is j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 11. Give r(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2453*g + 285*g**2 - 2453*g)*(4*g**3 - 4*g**3 - 3*g**3).\nAnswer: -855*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/16 + (-20)\/(-3). Let n = 27\/4 - g. Put 2, 1, n in increasing order.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 3:03 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464914 + -0.3.\nAnswer: -464914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 229.05. Let t = 28 + i. Let f = 0.45 + t. What is the third biggest value in 0, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257065 divided by -51413.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 21. Let w = -7.99936 - y. What is w rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18662136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61693, -61691, -61689?\nAnswer: -61687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0*w**3 - 3\/2*w**2 + 2*w + 0 + 1\/6*w**4. Differentiate i(k) with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 19*l**2 - 22*l - 7. What is the tens digit of m(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207168 and 45168?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z*z\/z**(-24)*z))\/z*z))**(1\/14) assuming z is positive.\nAnswer: z**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*x + 442, 0*x = -2*x + 2. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 0. Let h = 4 + i. Suppose h = b - 0*b. Calculate the smallest common multiple of b and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 less than -40.444762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 73 = -2*v + 3*r, -v + 23 = 5*r. Suppose 4*b = -5*q + 290, 3*q - 64 = 4*b - 402. Calculate the remainder when b is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -16 + -24 + 43 + (-15 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-90))\/(4*(-4)\/(-144))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**2 + 7*i - 5. Let k be f(4). Let l = k + -164. Let h = 4 + -2. Solve l*m - 15 = -h*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/15)\/((-3)\/(-3512)) - 54\/135. What is the greatest common divisor of 81 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = 8*r - 37*r. Let y = -0.05 + 0.45. Put 3, 1\/3, r, y in decreasing order.\nAnswer: 3, y, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*d = -2*t, d = 0. Suppose t = 16*a + 9101337 - 1165337. What is a rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/19, -1\/2, 1356?\nAnswer: 1356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -94. Solve 11 = -k - y*a, 0 = -20*k + 22*k - a - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**4*x + 17*s**4 + 5*s**2 - 3*x - 4 wrt s?\nAnswer: -240*s*x + 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54131 + -4013?\nAnswer: -102144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196*j + 77*j - 105*j)*(2*j + 0*j - 4*j)*(-j**2 + 0*j**2 + 0*j**2).\nAnswer: -448*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 10, 5, 7 in ascending order.\nAnswer: -7, 2, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -139*d - 17 + 15*d + 7 + 45 - 286*d. What are the prime factors of v(-2)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*622\/(-4043)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 40617\/4069 and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 45 - 5*c - 3\/4*c**3 + 3*c**2 + 1\/16*c**4. Factor n(o).\nAnswer: (o - 5)*(o - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let y = -4 - j. Sort 0, y, -1\/3 in ascending order.\nAnswer: y, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70000 divided by -5.\nAnswer: -14000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516 + 259 + 257 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 21*t\/2 - 50.\nAnswer: (t - 4)*(t + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 8*y + 7. Determine n(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24.2 (b) 0.00058 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -l - 2*l. Let i = l + -15. Let w(p) = -p**2 - 8*p + 4. What is the tens digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -889*v + 894*v. Calculate the remainder when 247 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/116 and ((-16)\/(-12))\/(-2)*(-76)\/24?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/7)\/l)\/(l*(l*l**(-1\/6)\/l)\/l))**(-38) assuming l is positive.\nAnswer: l**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = -5*r, -r + 8 = 3*t + 5. What are the prime factors of (-382)\/12*-20 + r\/9?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-110)\/(-33)*(-12)\/10). What is the third smallest value in -3, 1\/6, j, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4596 divided by 6\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/2 + 83*o**4\/2 + 1411*o**3\/6 - 4249*o**2\/6 + 580*o - 150 = 0. Calculate o.\nAnswer: -15, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 - 9*d. Suppose -4*f + 7 = -1. Let a(g) = -15*g + 8*g + f*g**2 + 10*g + g. Give 7*a(o) + 3*r(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)*-7 + (-3)\/6*4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 38688 = -7*k. Suppose -1872 = -15*p + k. List the prime factors of p.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 3 + 0 - 5. Let a be (-210)\/(-20) + (1 - 2\/4). Let i be x(a). Solve -i*v - 3 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026407290 rounded to the nearest one million?\nAnswer: 1026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 39*v**2 + 43*v + 17. Calculate the remainder when 425 is divided by t(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(3003\/440))\/((-117)\/(-1638))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c + 27 - 6 - 52*c - 1. Let d be p(-11). Suppose 2*a - a = 3*m + d, 4*m = 4*a - 2992. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283406?\nAnswer: 2, 23, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 189*c**2 + 0*c**4 + 19\/15*c**6 - 131\/3*c**3 + 0 + 0*c + 0*c**5. Differentiate v(k) with respect to k.\nAnswer: 456*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66*m**2 - 3*m + 1306 wrt m?\nAnswer: -132*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -379.7 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2*-1)\/((-80)\/32).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 1:04 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -309233 and 502?\nAnswer: -155234966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/37483 and 109\/1499320.\nAnswer: 1499320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1070 = 16*s - 11*s. Let z = 541 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 30 = -3*n + 44, 2*n - 2 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8 (base 14) to base 8.\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 446 = 11*p. Let k(f) = 9*f**2 - p*f + 225*f + 223*f. Let r(m) = -2*m. Calculate r(k(z)).\nAnswer: -18*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1425)\/(-43985)) + 100?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1407760 and -101\/57190250.\nAnswer: 457522000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(((-84)\/35)\/(63\/(-35))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 20*m - 23. Let y(k) = k**2 - k - 1. Let g(b) = -r(b) - 2*y(b). Let z be g(-10). Solve 0 = 7*o - 2 - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Suppose -16 = -3*n - 4. Let w be z(n). Suppose -5*o - 3*q + 11 = 0, w*o + o - 3*q - 29 = 0. Solve d + o*d - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3064834.\nAnswer: 21453838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve fifths of a micrometer in nanometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**4 - 2 - k**2 + k + 366*k**3 + 355*k**3 - 722*k**3 in the form d*k**2 + j*k**3 + u*k + c*k**4 + r and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 3:33 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -4*c**5\/15 + 25*c**3\/6 + 23*c**2. Find the first derivative of w(j) wrt j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 3. Let z(p) = -2*p. Give z(v(u)).\nAnswer: 2*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -63. What is the smallest common multiple of 40 and c?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -339, -351, -365, -381, -399?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39386 - -39435. Let x(m) = m - 19. Give x(j).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228 = 3*s - 2*v - 1145, -3*s - 7*v - 74 = 0 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 465678919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 95, -71.8, -17?\nAnswer: -71.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312343 or 312344?\nAnswer: 312343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11130987641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/47 - -2648\/141. Let w = h + -19. Put w, 5, 1\/8 in increasing order.\nAnswer: 1\/8, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (58\/(-4))\/((-2)\/(-4)). Let c(b) = b**3 + 8*b**2 - 14*b + 9. Let x be c(-10). Let m = h - x. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 464 + 2?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -627 and -1.799.\nAnswer: 1127.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 164072?\nAnswer: -164105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n - 3*s - 20 = -79*n, 0 = -n - 2*s for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(9)\/sqrt(12)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/((v*v\/v**(-2\/15))\/v))\/((v\/v**(-5\/3))\/v*v**7))\/((v\/((v\/(v**(2\/5)*v))\/v))**(-31)*((v\/(v*v**(-1)*v))\/v)**(-43)) assuming v is positive.\nAnswer: v**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 560832?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9269 - 13.8879. Let o = 0.161 + q. What is o rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 231?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327*p**4 - 94*p**4 - 412*p**4 - 3*p**4 + 10*p**4 - 2*p - p**4 + (-2*p**2 - 2 + 2)*(-p**2 + 2 - 2) to w*p**3 + u + x*p**2 + g*p + l*p**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*t - 12 + 10 = 0, 4*g + 2*t - 14 = 0. Suppose 0 = j + j - 22. What is the remainder when j is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 2*n - 11*n**2 - 273 + 276 + n. Let y(v) = -59*v**2 + 13*v + 13. Give 6*y(q) - 26*z(q).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635099359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 23*t + 36 - 40 + t to u*t + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 23*w**3 - 9*w**3 + 0*w**3 - 12*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1053 - -1056. Let c be (0 + 0)\/(-4 + 2). Suppose c = 3*s - 15. What is the biggest value in s, f, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-10 - 7) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -943 (b) -1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6386 + 8302. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 + 607*x**2 + 240*x - 181. Determine i(-121).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -4, 3\/2, -2, 1\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9 - 14*j + 10*j + 5*j. Let w be r(7). Let i = 1 + w. Do i and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 + -13 + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/4)*q**(3\/2)*q*q)**(1\/5)*q**2*q\/(q*q*q**(6\/11))*((q\/q**(-3)*q)\/q)\/(q\/q**2) assuming q is positive.\nAnswer: q**(1431\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(74\/4107*37)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 3*k**2 + 8*k**2 - 3*k**2 - 2)*(-2 - 3*k**2 + 2 + (-2*k + 3*k - 3*k)*(0*k + 2*k - k)) to the form p*k**3 + q*k**4 + r*k + w + a*k**2 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -3, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11069869 to the power of 1\/2, to the nearest integer?\nAnswer: 3327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {b: 2, i: 2, u: 9, x: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 111 + 3*n**2 - 10*n**2 - 26*n.\nAnswer: -7*n**2 - 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 = 3*k, 10 = -4*x + 3*x - 2*k. Let c be 10*(-51)\/170*x\/3. Differentiate 76 + c*t - 106 + t with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*w + 78*w = 38. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 51*l**2 + 17*l. Let r(f) = 13*f**2 + 4*f. Give 4*k(p) - 17*r(p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 221021202?\nAnswer: -221021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6\/8*6112\/(-5730).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 5, -25, -107, -259?\n\"Answer: -3*a**3 + a**2 + 22*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 3 + 4. What is the common denominator of (429\/(-9) + -1)\/(k + -9) and -127\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n**4 - 1\/60*n**6 + n**2 + 2\/5*n**5 - 22*n - 53\/3*n**3 + 0. What is the first derivative of h(t) wrt t?\nAnswer: -6*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21034*m - 20984*m + 1050 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.6*-528784\nAnswer: 3489974.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 4004\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 5493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 12*p. Let u(n) = -16*n**2 + 9*n**2 + 6*n**2 + 3*n - 8*n. Give 12*u(c) - 5*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003 not equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -41. Solve 4 = o + m*d - 23, -4*d = -5*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8031898 and 170674.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from cccccccccecccecccc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 6\/5 (c) 21\/4334 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 34. Suppose 3*j - s = 0, 0*o = -2*o + 2*j + 112. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2184206*i**2 + 1092102*i**2 + 1092105*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + 7*v**3\/3 + 3. What is the third derivative of a(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4\/6*45\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.549 years in decades?\nAnswer: 52.6549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 294221517 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:28 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cbb - -6?\nAnswer: -cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 81 - 6 - 246 + 320*o + 78)*(-o + 2*o - 4*o).\nAnswer: -960*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68791.\nAnswer: 68791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 77*z**2 - 2*z + 2. Suppose 166*m = q + 168*m - 76, m - 193 = -3*q. Calculate the remainder when t(2) is divided by q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*f, -m + m + 5*f = 8*m - 5*m + 3 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22892 - -22892.0000024526. What is v rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200) + 5*(sqrt(7200) - 1*sqrt(7200)) - sqrt(7200))\/(sqrt(160) + (sqrt(160) - -2*sqrt(160) - sqrt(160))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/28390 and -63\/2.\nAnswer: 28390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/48)\/(4\/40). Let u(n) be the third derivative of 0 + 0*n - 5*n**2 - c*n**3 + 1\/24*n**4. What is u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1064 + 7?\nAnswer: 106b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 366*o**5*s - 24*o**3*s**2 - o**2*s - 119701*o**2 - 2*s**2 wrt o.\nAnswer: 21960*o**2*s - 144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2214\/(-3321)*-2*(-7)\/8\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 25*j**2 + 54*j**2 - 19*j**2 - 11*j**2 + 10 - 5*j to the form k*j**2 + h + u*j and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/20 + q**4\/3 - q**3\/2 - 3*q**2\/2 - 68*q. Let f be c(-4). What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -88.\nAnswer: 7\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 + -177. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 + 242*j\/5 + 5808\/5 = 0.\nAnswer: -88, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127764 divided by -1014.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (sqrt(637) - (sqrt(637) + -1)**2) + -3.\nAnswer: -641 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5584000 to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by (-88)\/8 + (-260)\/(16\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 20*i**2 - 25*i - 72. What is the smallest common multiple of y(-21) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1308653 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11948715009 and 2?\nAnswer: 11948715011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -4*c - 37. Let g be (-12)\/(-7) - c\/70 - 2. Suppose 4 = 3*r - 32. Solve g = -d + 5*d - r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41704 is divided by 851.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 - 8*j**3 - 7 - 2*j + 6*j**2 + 4*j**3. Let h be 6 + -2 - -1*1. List the prime factors of w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x + 43. Calculate the remainder when w(0) is divided by 2\/(-13) + 952\/104.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 2.5. Let d = l + 2.9. Which is the closest to d? (a) 3 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 6, 4 in descending order.\nAnswer: 10, 6, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0 = 2*f - 12, 2*d = -10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749608564909375 + 3*d**2 - 749608564909375.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2211*l + 4202*l - 2101*l + 2.\nAnswer: -110*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let a = 5 - 5.5. What is the closest to o in 2, -5, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)\/(v**(6\/7)\/v*v)*(v*(((v*v\/(v*v*v*v**(2\/5)))\/v)\/v*v)\/v)**(16\/7) assuming v is positive.\nAnswer: v**(-502\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 2*s + 2. Let l be h(-2). Let y = 110 - 107. Suppose 2*k = y*k + l*c - 16, -2*k - 5*c + 32 = 0. What is the highest common factor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 29121.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*l + 2*x = -100*l - 1094, 23*l - 4996 = 4*x. Calculate the greatest common divisor of l and 7803.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 1\/5*d - 1\/5*d**3 - 1\/5 + 1\/5*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2 + 128*d - 139*d + 4*d**2 - 819*d**4 - 4*d**2 wrt d.\nAnswer: -19656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9165\/705)\/(520\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 0, -5, 4, -3\/1150?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*x + 7*x - x + (2*x + x - 2*x)*(-1 - 2 + 5).\nAnswer: 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - -89) - (-4 - (20 - 8) - -8)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1725\/(-50))\/23*(-10)\/3)\/((-7)\/56).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 33*m - 201. Determine l(15).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*v**3 + 7*v**3 - 426*v**3 + 140*v**3 + 140*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, -12, -3, 12, 5, 0.0716?\nAnswer: 0.0716","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 110734.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 13 = 2*z, -5*z = -9*j + 8*j + 28. Solve -j*t + 2 = -10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.164 - 0.136. What is the fourth biggest value in 1\/9, -2\/5, r, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 760\/100 + (-9)\/15. Suppose 2 + 4 = 2*d. Suppose 0 = 5*t - 20, -i*t + d*t - 919 = -5*m. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92829 and 4224.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 0. Let b = t + 9.4. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53090 divided by 1975?\nAnswer: -10618\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12173 and 188?\nAnswer: 48692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/(-9))\/(2\/48). Let d = o + -80. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)*(-582 + 592).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00541100264 rounded to six decimal places?\nAnswer: -0.005411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*b - 20, -v - 7 = 6*b - 11*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(-6))**(-1)\/(((p**1\/p)\/p)**28\/((p**(2\/7)\/p)\/((p*p**(-2\/13)*p)\/p))) assuming p is positive.\nAnswer: p**(1314\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 11695?\nAnswer: -6\/2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 100 = -4*t + 221, 2*t - 5*a = 83. Suppose -5*z + 3*c = 2 - 184, 98 = 3*z + c. Let q = t - z. Solve q = -6*f + 3*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 6*d = -12. Let h be 18*(-54*(-2)\/8 - 2). Suppose -p = 3*x - h, -d*p - 2*x = -0*p - 600. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) 1\/5 (c) 3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l + 3060*l + 69024 = 250*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*i**2 - 2481*i + 2482*i + 4*i**3 + 152*i**4 - i**3 - 5*i**3 wrt i?\nAnswer: 3648*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46633585 by 305.\nAnswer: -152897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 a, and 2 g when four letters picked without replacement from gegiaageiiaaeiaiiag.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 4*a. Let r be h(-2). Suppose -5*k + 9 = -r*n - 80, 49 = -4*n - 3*k. Let q = n - -32. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15394 and 207?\nAnswer: 3186558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) 3 (c) 543 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxommoooooxmoxom. Give prob of picking 3 m.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (-5*(1*sqrt(242))**2 - sqrt(242))) + 3.\nAnswer: 22*sqrt(2) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43135400 by 8627080.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 64 (c) 5 (d) 0.5 (e) -0.082 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174676.\nAnswer: 2, 43669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((-254)\/6 + (-1364)\/(-44))\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1.1, 3\/14, 2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + f + 5 = -13, -5*m - 4*f = -30 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 25 - -14) + 13 + -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0253128 and 1.64.\nAnswer: 1.6653128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-1482) - 4\/38.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2561?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 486 + -457.2. Let h = 29 - f. Sort -14, -2, 2, h in ascending order.\nAnswer: -14, -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1479\/(-24) - (-10)\/80)*-30?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979672309.\nAnswer: 37, 467, 114571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1311 and 17457?\nAnswer: 331683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 13) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 98, 132, 184, 260, 366, 508, 692?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*u**5 + 16*u - 1101 - 76*u**5 + 265*u**3 + 1106 wrt u.\nAnswer: -40*u**3 + 1590*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39281*25\nAnswer: 982025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*p + 6*c - 14*c - 197 = -240*p, -5*c = 4*p + 152 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113283 to four decimal places.\nAnswer: 0.1133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-84))\/((-6)\/(21 + 57)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1663 + 5?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 - 9 - 842*j**2 - 14 - 154*j**3 + 32 wrt j.\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*3\/27*3. Let n(m) = -53*m**3 + 3*m + 2. Let p be n(i). Suppose -264 = -4*t + p. List the prime factors of t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:10 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 194*q**3 + 2*q**2 - q + 2. Let w be p(2). Suppose 4*y = 0, 2*l + 22*y - w = 18*y. Is l a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1 (c) -43256\/657 (d) 0.4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9478 + -875.3016?\nAnswer: -10353.3016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 77\/(-6) + (-15)\/90. Let r be (2 - 3)\/(s\/26). Is -0.1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 5*l**2 - 11*l + 3. Let v be d(-7). Suppose -122 = -6*o + v. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*q**2 + 53*q**2 + 0*q + 0*q + q.\nAnswer: -435*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p + 14. Let h be c(0). Suppose 3*q = 31 + h. What are the prime factors of 6\/4*(1385\/q + -3)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 1.6, -0.5, -5, 13 in decreasing order.\nAnswer: 13, 1.6, 0.1, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epe when three letters picked without replacement from peeqccepps?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -109791.78 rounded to the nearest 1000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8154\/54487 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*s - 195, 183 = -3*s + 7*s + 3*f. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 207080?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70106326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12741 - -5?\nAnswer: 12746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 32*n**2 - 51.\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 612 (b) 2 (c) -0.336 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvvx when four letters picked without replacement from {v: 3, n: 2, x: 10, f: 4}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 4*s - 44, -f = 5*s - 37. Suppose 3*p - 12 = -j, -2*j - s = -2*p + 3*j. Calculate the lowest common multiple of p and (6\/(-7))\/(2\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:52 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 7*h - 12*h. Let k = -373 + 379. Calculate the highest common factor of k and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*x**2 + 25\/4 - 1\/4*x**3 - 35\/4*x.\nAnswer: -(x - 5)**2*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**2 + 27330*g + 4935865 = 0?\nAnswer: -5279, -187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2756.189 days to minutes.\nAnswer: 3968912.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 6, u: 7, f: 4}. What is prob of sequence fw?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 7*o**4\/12 - o**3 + 9*o**2\/2 + 74*o. Calculate the remainder when 72 is divided by v(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/5)\/((-136)\/425).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c**2. Let v(y) = 0*y**2 - 13*y**2 + 9*y**2. Calculate v(x(o)).\nAnswer: -400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/(k**(-1)*k*k*k)))*k)\/(k*k**(-1\/5)*k))\/(k**(-10)\/k*k*k*k**(2\/7)))**(17\/3) assuming k is positive.\nAnswer: k**(4114\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7836963.\nAnswer: 3, 2612321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7557440 by 6688.\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169 equal to 4409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*k + 115*k**2 - 521*k**2 - 223*k to the form f*k + y*k**2 + z and give y.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 f when four letters picked without replacement from kkfffffffkkffkffkf?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -213*t + 200*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 + 296. What is the remainder when 355 is divided by k?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 4*i + i)*(-5 - 5 + 19).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2. Let w(m) = 212*m - 108*m - 107*m. Determine n(w(z)).\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/24 + (-2 - (-10)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g + 5*g + 644 + 6 = 0. Let v(n) = -6*n + 73. What is v(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -12784.54?\nAnswer: -230121.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 - 543 - 4775*u**2 + 289.\nAnswer: -4775*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/854529 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + 3*(sqrt(1872)*-2 + -4 - (sqrt(1872) + 1)*-1)*-3)**2.\nAnswer: 6912*sqrt(13) + 152656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*w - 2*w**3 + 5*w**3 + 44*w - 2*w**3 in the form b*w + v*w**2 + p*w**3 + t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:31 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8440668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22132320 + 221?\nAnswer: -22132033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -264.81 to zero dps.\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**5 - 504*l**4 - 7584*l**3 - 35384*l**2 - 63588*l - 35280 = 0.\nAnswer: -7, -3, -1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1 - 4. Let o be t\/(-6)*(-2 + 2). Let c(i) = i**3 - i**2 + 5. What is the remainder when c(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197839 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/66 + 3\/(36\/1022).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 - -202401?\nAnswer: 203340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 1. Let k(i) = 8*i + 5. Let u(s) = 9*d(s) - 2*k(s). Let p be u(3). Solve -o - 3 = -p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1248*v - 58. What are the prime factors of c(-10)?\nAnswer: 2, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350627\/37236 + -1\/3103. Calculate the common denominator of w and -1 + (-3)\/(-84) + 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 390*n + 8 = 389*n, -2*n = 12. Suppose s - 5*i = 30, -32 = -2*s - i - 3*i. Solve -s = -b*d - 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 + 3*z - 11. Let v(s) = -5*s**2 + 2*s - 11. What is 3*v(l) - 2*x(l)?\nAnswer: -3*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -49, -108, -185, -280, -393, -524?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -140, 1\/45 in decreasing order.\nAnswer: 1\/45, -7, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -2756 and -2751 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/3 + 10*u**2 + 32*u + 3328. What is c(21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p - 50. Let i be 416\/(-65) - (-6)\/(-10). Let v be g(i). Let o(n) = 4 - n**3 + 2*n - 3*n + 2*n**2 + 4*n**2. Calculate o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 13424240240?\nAnswer: 13424240242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2059\/1390 + -13\/695. Which is the fifth smallest value? (a) 0.5 (b) -2 (c) -5 (d) h (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3*z**2 - 6*z + 15. Suppose -u = 3*u - 24. Let q be s(u). Suppose 0 = -0*m + 5*m - 3*x - 407, m + 5*x - q = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32570 + 32570. Which is the biggest value? (a) 1.678 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 12*p**2 - 35*p + 4. Let m be n(5). Let v(o) = -4*o - 4*o**2 + 0*o - 3*o + 2 + 5*o + o**3. Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*b. Suppose n - 4 = 0, -3*i + 2*n - 29 = -b*n. Suppose 4*m = -3*m - 35. Are i and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - ((-260)\/8 - -1). Let p be (-2)\/(-3 + s\/11). Solve -3*f = -z - p, 4*f - 3*f - z = 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/15 - n**4\/24 + 26*n**2. What is the second derivative of k(m) wrt m?\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 246416.\nAnswer: 739248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l. Let d be p(0). Suppose 2*v = 5*i - d*v - 24, i = v + 3. What is the third derivative of -4*a**6 - a**2 - 3*a**i + 3*a**6 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -5*n - 2*b, 7 = n - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-20) - -2) + -2. Let x = 16660 + -183852\/11. Let t = x - -54. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 12 + 23 = 15*i + 2*x, 4*i + x + 4 = -x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 32801\/4859?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 10*g**2 + 8*g - 9. Suppose 0 = -4*d - 20 - 4. Let p be 1\/((d\/27)\/2). Let i be u(p). Solve i = s + s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*t**2 - 55*t**2 - 54*t**2 + 2*t**3)*(-5*t + 3*t - 3*t).\nAnswer: -10*t**4 + 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 - 2*q + 4. Let k = -17 - -14. List the prime factors of r(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -106\/2945?\nAnswer: -106\/2945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1191*26.13\nAnswer: -3.112083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*k - 1382, -5*k + 1384 = 2*w - w. Suppose -r - k = -5*q, q - 5*r + 45 = 2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 8:34 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772 - 86 = 78*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*p + 6 + 48*p + 42*p - 4*p**3 - 2*p**4 - 120*p + 6*p**3 to the form b*p**2 + a*p**4 + w*p + y + r*p**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2995 - 7613 = -560*g + 3222 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28221 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8973 (b) 1\/4 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, -7\/725, -0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005636695 to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m = -213*m + 576. Let x = 2 + 0. Suppose 0*y + 5*o - 80 = -x*y, -2*y + m*o = -52. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 26*s + 62. Determine a(-13).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-244)\/(-1)*(-4)\/(-8). Let k = i + -174. Let s = 84 + k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 24\nAnswer: 35\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096843 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107136 and 32736?\nAnswer: 1178496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Suppose l - 3 = -0. Suppose 6*t = -3*j + z*t + 8, l*j - 2 = -t. Solve j*k + 2 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**5\/6 - v**4\/6 - 3*v**2\/2 + 6. Let u(n) be the second derivative of t(n). What is m in u(m) = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/7 + 12*i**2\/7 + 40*i\/7.\nAnswer: -4*i*(i - 5)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 12*v - 28. Determine j(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(6147\/(-645435))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2100, 1791, 1242, 453, -576, -1845, -3354?\nAnswer: -5103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -3 (c) -1031 (d) 1\/7 (e) 7\/6 (f) -0.2 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (570\/2394)\/((-15)\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.649 minutes in seconds?\nAnswer: 32798.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27540, 33276, 39012?\n\"Answer: 5736*s + 21804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, e: 4, i: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231784\/15 + -15452. Suppose 4\/3 + 26\/15*z - 2\/15*z**3 + s*z**2 = 0. Calculate z.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9345 and 4095.\nAnswer: 364455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t**5 + 760*t**4 - 14736*t**3 + 61528*t**2 + 491100*t - 170000 = 0. Calculate t.\nAnswer: -4, 1\/3, 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1064*z**2. Let s(g) = -2*g. What is x(s(n))?\nAnswer: 4256*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-7 + -34 + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 4*x + 2*x + 2 - 2 - x + (-4*x + 0*x + 6*x)*(2 - 5 + 4))*(-94 + 365 + 119 + 108).\nAnswer: 996*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 33241 = 165*h - 166*h, 4*h + 22144 = 2*b. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.098 and 4.09527208.\nAnswer: 3.99727208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223 - 239. Let w be 3\/((-12)\/(-5)) + 24\/p. Let r = -2 - 1. Are w and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3 - 0. Let a be (-3)\/(((-4)\/y)\/4). Let d(p) = -p**2 + 8*p + 12. Let h be d(5). Calculate the highest common factor of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -115. Let i(t) = 12*t + 65. Let v be i(z). Let p = v + -44. List the prime factors of p.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 491 - 104. Let h = 398 - y. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3922*y - 108*y**2 + 7854*y - 3925*y.\nAnswer: -108*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 6:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 23343\/10, 0.2, -2\/5, 0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {y: 1, j: 1, i: 3, e: 4, k: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 8832.\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 10*w + 3*w)*(-1 - 4 + 4)*(-107 - 95 + 142).\nAnswer: -360*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in years?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 - (3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/24)\/((-1)\/4). Suppose -2*j + 9 - d = 0. Calculate the highest common factor of j and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 2. Let j(t) = -2*t + 2. Suppose -6*u - 23 = 7. What is u*j(m) - 4*f(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.7 - 155.7. Let m = u + 144.4. Suppose 2*k - 1 = -2*k + 5*y, -2*y = -5*k - 3. Which is the third smallest value? (a) 41 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 + 95 - 58) + 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*c**3*p + c**3 + 13229*c**2*p wrt c?\nAnswer: -840*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.5 - -20. Sort k, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13196806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = x - 71, -6*x + 2*x - h + 284 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s - 29 - 223 = -97*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 501\/5 + -6468\/65. Let p = -85\/104 + s. What is the second biggest value in 1\/4, p, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 1:45 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12911976 + 3?\nAnswer: 12911979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191562339?\nAnswer: 3, 63854113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 18 + 5*o + 23.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/55195 and 81\/67064.\nAnswer: 44597560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 9 - 9 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = j - 24, -56 - 12 = -4*j - 3*a. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 - 7274*d - 65 + 10787*d to the form p + z*d and give z.\nAnswer: 3513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -6 - (-124 + 129).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = 32*d + 16 - 1 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = 2*x + 3*x, 0 = -3*f + 2*x + 17. Let o(z) = -z**3 + 6*z**2 - 6*z + 7. Let p be o(5). Is f at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1. Let d be (0 - 4) + 1\/1. Let s(t) = -6 + 6 + t**2 - 1. Calculate d*s(j) + 3*a(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37406465 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8100 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + 0 + 1. Let u = 13 + -23. Let a = -7 - u. Solve 5 = -a*z - x, 5 + i = -2*z + 2*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 639442 and 639443 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11119 - -11210.62. Let a = 90 - g. Round a to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -0.011.\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -10*b**3\/3 + b**2 + 4. Find the second derivative of n(g) wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -36*w**2 + 86*w - 5. What is y(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3408*t + 57. Let y be g(6). Let h be (-200)\/(7 - y\/2930). What is h rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -45, -105, -205, -357?\n\"Answer: -2*f**3 - 2*f**2 - 12*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 13 = 2. Suppose f + z - 74 = 0, 2*z + 5 = -b. Calculate the remainder when f is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 5*x**2 - 5*x - 6. Let w be p(-4). Let k be 4 + 0\/w + -1. Let c be -1 + 1 + (k - 2). What is the second biggest value in -4, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 538156, -8, 16 in increasing order.\nAnswer: -8, 16, 538156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 + 227. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose 4*g + g - 4*q - 60 = 0, 2*g - 41 = d*q. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -489534?\nAnswer: -20\/244767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 104*f**3 + 19*f**2 + 80*f**3 - 14*f**2.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132 + 253 - 225*c - 123)*(-1 + 2*c + 1 + (1 + 4 - 4)*(-c + 0*c + 0*c) + 3*c - 4 + 4) in the form d*c + a*c**2 + z and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + j = 1456, 0 = 5*x - 2*j - 3631. What is the remainder when x is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxss when four letters picked without replacement from {h: 1, p: 2, s: 9, r: 1, x: 6}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3051 and -121\/126?\nAnswer: 42714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*p + 221 = 851 + 630 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3154618 rounded to 4 dps?\nAnswer: 0.3155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*n - 23 - 34, 0 = 4*c - 4*n - 44. Suppose i = 2*i + c. Let f = 13 - i. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 - -364. Suppose 0 = -s*i - 6*i + 1920. Calculate the remainder when i is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*z**2 + 197?\nAnswer: -236*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**13)**(-2))**(-18\/5))**(-35) assuming h is positive.\nAnswer: h**(-3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -262288 + -9?\nAnswer: -262295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2012 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 7*y**2 + 12*y**2 - y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 12*a + 118. Let d be p(18). Solve d*q = 3*q - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m. Let c(a) = -180*a - 7198. Let x be c(-40). Let q(i) be the second derivative of 0 + 0*i**x + 0*i**3 - 1\/6*i**4 - 13*i. Determine h(q(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 4. Calculate b(-21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvsvasiisaaasdasgss. Give prob of picking 1 s, 1 d, 1 v, and 1 a.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.64 and 2.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8 - (-2)\/8. Let r be -3*(-1)\/2 - 135\/(-90). Solve -r*q = 3*c - 5*q - x, -2*c - 3*q - 21 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1)*1 + 2. Let f(y) = 4*y. Let b(x) = -9*x. Let i(l) = l**3 + 7*l**2 - 10*l - 2. Let g be i(-8). Calculate g*f(w) + t*b(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.518 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -200202120 (base 3) to base 4\nAnswer: -3111231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*c - 5*c. Suppose 2*y - 2 = 3*a, 0 = -4*y + c*y - 2*a + 22. Suppose -y = -h + 12. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2479*t**2 + 4 - 4 + 722*t**2 to the form i*t + j + h*t**2 and give h.\nAnswer: 3201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/25, 2\/7, 5, -80\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 5286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 9*q**2 - 2*q**2 - 33 in the form w + g*q**2 + k*q and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + (4 - 2 - 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*y + 65, -35 = -32*j + 34*j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 265975497?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 5366*w - 1225224.\nAnswer: -2*(w - 2431)*(w - 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*g = 2*g + 860, 3*h - 676 = -4*g. Suppose 5*b + 5*z = h, 5*b = 2*b + 4*z + 97. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31662 + n**2 + n**2 - 31661 + 63323.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.28 + -0.28. Put 61, 2, i, -5 in descending order.\nAnswer: 61, i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.757 + 0.017. Let h = 989988 + -989986.260198. Let u = x + h. Round u to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/20160 - o**7\/1260 - o**6\/240 - o**5\/60 - o**4\/4 + 152*o**2. Let k(n) be the third derivative of h(n). Give k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:21 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8561386 divided by -2\nAnswer: -4280693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2031483 or -14220390\/7?\nAnswer: -2031483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 79270 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: 1 times 0.53013054\nAnswer: 0.53013054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138186.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 2398262444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39391*p + 39391*p + 1047*p**3.\nAnswer: 1047*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 28*t = -17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 18, 11, 0, -15?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 - a**5\/12 + 5*a**3\/6 + 3*a**2. Let s be q(5). Which is bigger: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**46*g**(8\/5)\/g**(2\/9)*((g*g**(-6))\/g*g**0)**45 assuming g is positive.\nAnswer: g**(-10018\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 + 277. Let u = 597 + -568. What is the remainder when b is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86308582*p**3*w**3 + 3*p**3*w**2 - 297*p**3*w - 27*p*w**2 + 38*w**2 wrt w.\nAnswer: 517851492*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 4 = 0. Suppose -w*t + 12 = -0*t. Suppose 0 = -4*o + 1 + t. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*a + 118, -32*a + 130 - 29 = -3*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = 5*j. Let q = 1 + j. Let s = q - -6. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 143. What is the highest common factor of 104 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283462307?\nAnswer: 3, 23, 2066767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25575748511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 21*z - 18. Let l be f(20). Suppose 84 = l*j + 5*j. Suppose j - 48 = -4*a. Solve -a = -5*n + 4*o, 2*n + 8*o - 4*o - 26 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 50*r + 2. Let j be p(1). Is j bigger than 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - w)*(0*w - 2*w + 0*w) + 0*w**2 + 3*w**2 - w**2)*(0*w**3 - 2*w**3 + 0*w**3).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1210 + 100?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000211111 (base 3) to base 14.\nAnswer: 7574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -9. Let l be -6*(-4 - 11\/g). Suppose -21 + 97 = l*w. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 342. Let k(b) = 4*b + 2. Give w(k(g)).\nAnswer: 64*g**2 + 64*g + 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (7 + -8)) + -3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-41647.601.\nAnswer: 20823.8005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.9240089 + 14.925. Round w to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -119083*m**2. Let c(t) = -7*t**2. What is p(c(z))?\nAnswer: -5835067*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 13*t + 11. Let x(v) = -5*v**2 - 7*v - 6. Let o(u) = 4*i(u) + 7*x(u). Let h be o(-2). Suppose 12*c - 14*c + 32 = h. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g - 33701 - 205033 = -107*g. Calculate the remainder when g is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 6. Let m(x) = 2*x - 4*x**3 - 4*x**2 + 2 + 0 + 3*x**3. Let n be m(-4). What are the prime factors of s(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1787*s**2 - 792*s**2 - 6395*s**2 - 267*s**2 - 4588*s**2 to the form x + l*s**2 + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4492503 and 34965.\nAnswer: 157237605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2243 not equal to -2242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4970*g - 381*g - 288837 + 274997 = -581046 for g.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4030 = -484*f + 329*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j - 25. Calculate s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -79. Suppose 2*t - 3*t + 14 = z, -4*t = 3*z - 39. Suppose 4*h = -1 + z. What is the remainder when h is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44*7\/((-21)\/(-6)). Suppose 5*v + q = 473. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683804 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 - 1) + (-8)\/6. Which is the fifth biggest value? (a) -66 (b) w (c) -3 (d) -5\/3 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 - 395393518 + 395393518.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/2? (a) 1822 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 240?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 614?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from {f: 3, e: 5, p: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(72\/(-30))\/((-45)\/50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14380 to the nearest 100.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 903.1494 millilitres in litres?\nAnswer: 0.9031494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + -358)*(-16)\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 1\/40*x**5 - 1\/8*x**3 - 1\/2*x - 1\/16*x**4 - 8 + 1\/2*x**2. Factor r(c).\nAnswer: (c - 2)*(c - 1)**2*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21) - (-1 + (-26)\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -70, -127, -198?\n\"Answer: -7*q**2 - 22*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**4\/20 + 12*s**3\/5 - 33*s**2\/10 - 120. What is h in o(h) = 0?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029427.\nAnswer: 7, 199, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29305 * -4\nAnswer: -117220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from arrxxxkrarrxxrxkkk.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 9*k + 2. Let a be u(6). Suppose -4*s + s - v + a = 0, 0 = 2*s + 4*v. Solve s = -2*o + 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2736887179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5591036 + -2?\nAnswer: -5591038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(9) - (sqrt(9) + sqrt(144)))*2*-3)\/(4*-5*-2*sqrt(432)).\nAnswer: sqrt(11)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10789667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119442 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 5*s - 5*o, -s - 3*o = -5 - 49. Let z be (1970 - 2075)\/(12\/(-5)). Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 21453200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 10*b - 1. Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o**(-2\/3)*o)\/o))**(-44)*(((o\/o**(2\/11))\/o*o)\/o)\/(o*o**(-1\/3)))\/(((o**(-2)*o)\/(o**(-4)\/o))\/((o\/(o*o**1))\/o)**(-21)) assuming o is positive.\nAnswer: o**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x**2 + 24*x - 14. Calculate z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2092629, 0, -4.\nAnswer: -4, 0, 2092629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 13*h**3 + 165.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 5, 1, -1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 139 + 1191*a - 1191*a + a**2 as j + k*a + p*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2*r**3*s + c**2*s + r**3*s - 8*r**3 + 2*r**2*s - 13*s wrt r.\nAnswer: 24*c**2*s + 6*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 19*n**3 + 1145*n**2 - 1125*n = 0. What is n?\nAnswer: -45, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 12*t**2 - 49*t**2)*(-3*t + 2*t - t)*(-4*t + t + 4*t)*(-3 + 1 + 3).\nAnswer: 112*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 3*v - 1. Let w be r(-4). Suppose 6 = 4*c - 3*d - 6, w*c + 3*d + 12 = 0. Let o(x) = -x. Let b be o(5). Sort c, -4, b in descending order.\nAnswer: c, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 218*u**3 - 4*u**4 + 2*u**4 - 1 - 217*u**3 + 5*u as j*u**2 + x*u**4 + c*u + q*u**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = -14. Let z(w) = -w**2 + 4*w + 14. Let q be z(6). Suppose 0 = n*b - 5*k - 65, -q*b + 25 = -2*k - k. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19556*s + 140 = -19576*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 48*i**2 + 2*i - 52*i**2)*(585*i + 1 + 619*i - 416*i) to the form q*i**2 + s*i + f*i**3 + c and give q.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4804420 to the power of 1\/2, to the nearest integer?\nAnswer: 2192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156361 is divided by 51598?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:51 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42772764 and 173857?\nAnswer: 42598907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51457, 102933, 154409, 205885, 257361, 308837?\nAnswer: 360313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196.8 - 197. Let k = -1.9 - -2. Let z = 3.3 + 0.7. Which is the nearest to d? (a) z (b) k (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1662540.12ns?\nAnswer: 0.0000000192423625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3285*i + 1721347. Give a(-524).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 3.267?\nAnswer: -26.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 28 + 50 - m**3 - 13*m**2 - 50 - m**3 - 2*m. What is v(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -233*x**3 + 231*x**3 + x**2 + 2*x - 4*x - 2 + x**4 to the form o*x**4 + s + u*x + d*x**2 + h*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 853, 1184, 1515, 1846, 2177, 2508?\n\"Answer: 331*c + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a + 60. Let r be (a\/54)\/(2\/3). Let g = -4 - 0. What is the closest to 1 in 0.3, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-7)*y**21*(y**(2\/9))**(17\/2))**(-31) assuming y is positive.\nAnswer: y**(-8618\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from {i: 3, q: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**4 + 63*q**3 - 952*q**2 - 1032*q - 8. Let b(r) = r**2 - r - 1. Let z(h) = 24*b(h) - 3*x(h). Determine k, given that z(k) = 0.\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 5*f - 12. Suppose -a - 3 = 4*k, a + 1 - 4 = -2*k. Calculate the smallest common multiple of a\/(-4)*8\/(-3) and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 12. Calculate the greatest common factor of a and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -33 - (13 - (11 - (-7 + 1)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -12, -3 in descending order.\nAnswer: 14, 3, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1678, 4029, 6378, 8725, 11070?\n\"Answer: -q**2 + 2354*q - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**3 + 75*i**2 - 204*i + 52.\nAnswer: (i - 2)*(i + 13)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2112)*2)\/((sqrt(99) - -1*sqrt(99)*1)\/sqrt(9))*-6.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54202701?\nAnswer: 3, 7, 2581081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**2 - 2*f - 5. Let y be 3\/9 - (-114)\/18*-1. Let q(s) = -s - 20. Let r be q(y). Let p(v) = 20*v**2 - 6*v - 14. Determine r*k(c) + 5*p(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -3\/7, -2455, -5, -3.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1171 + -391. Let t = u - 61618\/79. Is t >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1900360 divided by -135740\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(448) - -5*sqrt(448)*-1) + -3 + -3*sqrt(448) + 1))**2.\nAnswer: 3584*sqrt(7) + 351296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27203616 and 172848.\nAnswer: 353647008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, u: 3, x: 1, p: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 17*z - 31. Let h be g(-8). Suppose 6 = -7*b + h. Suppose -a + 1 = -4*d + 3*d, b*a = 2*d + 11. Solve a*q + 7 = -5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 37*z = 9900000. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**16*h)\/(h*h\/(h**(17\/3)\/h)))**(-33))**(-18) assuming h is positive.\nAnswer: h**12276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/12)*w*w**(4\/5)*w*(w**(2\/5))**(-7\/2) assuming w is positive.\nAnswer: w**(79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38066797, 76133599, 114200401, 152267203, 190334005?\nAnswer: 228400807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*q = -49, 0 = 4*x + 41*q - 36*q - 79. Let w(u) = -u**2 - 10*u + 3. Calculate the remainder when w(-7) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 17*x + 37*x - 15*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6421\/18 or -358?\nAnswer: -6421\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alh when three letters picked without replacement from {c: 1, h: 3, l: 5, a: 4, q: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62555*a**2 - 3815860*a + 305.\nAnswer: 5*(a - 61)*(12511*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 4*i + 17, 4*i = -2*u - 22. Let x be (0\/(u - -3))\/(-2). Solve -4*d + r - 5*r - 16 = 0, x = 3*d + r + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r - 75. Suppose -14*j + 13*j - 3*k = -7, -5*j - 30 = 2*k. Let u be h(j). Which is the closest to 3\/7? (a) 3\/2 (b) u (c) 4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haxg when four letters picked without replacement from {h: 1, a: 2, u: 3, x: 6, q: 3, g: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1082, 1094, 1114, 1142, 1178, 1222?\n\"Answer: 4*g**2 + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/95, 1, 282, 3, 0, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/(3\/(-36)). Sort f, -12, -2 in decreasing order.\nAnswer: f, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1840 or -67?\nAnswer: 1840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22048\/9 + -2450. Which is the third smallest value? (a) 0.2 (b) -38 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -25 - (-23 + (-26 - -51))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 39*t**3 + 15*t**2 - 24. Let k(j) = j**2 - 2. What is b(i) - 12*k(i)?\nAnswer: 39*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1045898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -23. Let l(o) = 2*o**3 + 9*o + 9. Let t(v) = v**3 + 5*v + 5. Determine y*t(k) - 6*l(k).\nAnswer: -k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3659 divide 614347714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*u - 163*u = 351. Solve -u*b + 9*b = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 2*f**2 - 4*f + 3. Let w be s(3). Suppose a = -a + 4. Solve -a*r - 5 + 1 = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115729 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 5*g, 0*d + 5*g - 50 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -14*v**2 + 11*v + 89. Let o be w(-6). Let t = 480 + o. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011540804638 rounded to 6 dps?\nAnswer: 0.011541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-1)\/(-3))\/(33\/(-198)))\/(-1))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2344706, -2344705, -2344704, -2344703?\nAnswer: -2344702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1631 = -u, -4*h + 3*u + 424 = -3*h. Let g = h - 233. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 46*u - 29*u + 26372 = 0. Is u at least as big as 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17044, -34094, -51144, -68194?\nAnswer: -85244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8313930 - 5633930. Round n to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4) + (-62)\/(-4). Let z = a - 6. Calculate the remainder when 29 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12444 + 23?\nAnswer: 13022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let i be g(5). Suppose 0 = 3*h + 2*d - 9, -i - 7 = -4*h - 4*d. Solve -n - 2*n = 2*p - 11, -h*p = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -2590, -3909, -5228, -6547?\nAnswer: -7866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 18. Let u be v(13). Solve -3*x = 2*x + 2*z + 16, u*x + 18 = -z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 18*d**2 - 1560*d - 526. What is j(87)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 62*k - 57. Let b(i) = 92*i - 86. Suppose 0 = -8*j + 26 + 38. Let h(m) = j*u(m) - 5*b(m). Find the first derivative of h(s) wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -133*y**4\/8 - 71*y**2 - 3. Let a(n) = -2*n**2. Calculate a(g(m)).\nAnswer: -318402*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3)*(4 - 1 + 0)*(2 + 0 - 1)*(3*y - 2*y - 34*y).\nAnswer: 297*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(14)\/sqrt(2))*4.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:48 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 421785260 and 143?\nAnswer: 4639637860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 4021?\nAnswer: -9\/4021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 2*w)*(-72 + 72 - 18*w)*(1 - 3 + 3).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 - (-1504)\/(-84). Let p = v - -1209\/70. What is the common denominator of p and -91\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by -67\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 101\/(-1)*(-2)\/2. Let k = v - 62. Suppose 0 = -3*q - 2*l + k, 4*l = -3*q - 25 + 58. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/(n\/n**(-1)*n*n))\/n))**15*(n\/(n*n**(-1\/2)*n*n))**(-1\/21))\/(((n*n**(-5))\/n)\/(n\/(n**(-10)*n)))**(-16) assuming n is positive.\nAnswer: n**(-2519\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -15. Let j = -4 - t. Let c be ((-34)\/6 + 6)*3*-1. Sort c, 0.2, j in decreasing order.\nAnswer: j, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -8. Let g = -4 + l. What is the nearest to 3\/2 in g, -2\/5, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074777.2 seconds in days?\nAnswer: 24.013625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 347 - 347 + 24*l**3 - 3*l**3 - l**3 + 5*l**3 + (-2*l - 4*l + 4*l)*(l - 2*l**2 - l) - 292*l + 18*l**3 + 292*l.\nAnswer: 47*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484755189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2. Let s(z) = 6*z**2. Let w(r) = -2*l(r) + 3*s(r). Let m be 3 + -3 - -4 - -4. Let o(g) = -m*g + g + g + 0*g. Give o(w(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3 and (-3)\/(-2 - 7) + 7\/56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -1*sqrt(11) + 1 - (sqrt(22)\/sqrt(2)*2 - (sqrt(44) + 5)**2)).\nAnswer: -66 - 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {r: 15, a: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-270)*-15)\/((-1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (-3*(3 + sqrt(7)))**2 - (sqrt(252) + 2).\nAnswer: -59*sqrt(7) - 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 85*j**2 + 2*j + 21*j**2. Let x(t) = 2*t**2. Calculate g(x(z)).\nAnswer: -256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 19.3, -1.\nAnswer: -232, -1, 19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56973298*t**4 - 4322*t - 642?\nAnswer: -683679576*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 11\/2*m**3 + 0 + 0*m**5 + 1\/60*m**6 - 15*m**2 - 7\/8*m**4 + m. What is the first derivative of r(t) wrt t?\nAnswer: 6*t**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - h - 2. Suppose -5*o = 7*k - 5*k - 6, 0 = -5*k + 3*o + 15. Let d be k\/3 + 0 + 3. Determine g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18\/11)\/(f*(f**(-24)*f)\/f))\/(f**2\/f*f)**(3\/13) assuming f is positive.\nAnswer: f**(2989\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(3\/5)*z))\/z**(2\/3)*(z\/(z**(4\/3)\/z))\/(z\/z**5))\/((z\/((z*z**0)\/z))**(-5\/7)\/(z**0\/z)**41) assuming z is positive.\nAnswer: z**(-1326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-966)\/(-119) - (-96)\/238.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30*-1*2)\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220 + -85. Let k = -127 + c. Let o(v) = v**2 - 7*v - 5. Determine o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-3) - 488\/(-366). Put 1, 14, j in descending order.\nAnswer: 14, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 7*g - 10. Let x be t(-4). Put -0.2, 21, x, 3 in increasing order.\nAnswer: -0.2, x, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/128055506 and -117\/20?\nAnswer: 1280555060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58061.41 grams to micrograms.\nAnswer: 58061410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 (base 16) in base 6?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5597037 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29093432 is divided by 16363?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 798\/11 - 6703\/88. Calculate the common denominator of m and -29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*a - o, -a - 35 = -3*a - o. Calculate the highest common divisor of a and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h - h**3 - 11*h)*(-108 - 21*h**2 + 38*h**2 - 15*h**2).\nAnswer: -2*h**5 + 108*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 25*s**2 + 23*s - 555. Give a(-23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4d (base 14) to base 4.\nAnswer: 1022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2085.5 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327883 (base 10) to base 7.\nAnswer: 2533633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0\/2 + -2). Let w be 1\/((c - 0) + -1). Find the common denominator of -3\/10 and 2 - w*177\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5932061 is divided by 1141.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 12 + w**2 - 151*w - 150*w - 378*w - 34*w.\nAnswer: w**2 - 712*w + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = q + 5*y, 5*q - 3517 = y - 3508 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/6)*x*x\/(x**(-11)*x)*(x\/x**(-3))**32)**(7\/4))**32 assuming x is positive.\nAnswer: x**(23380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - -95) + 2 + (-1 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Let t(o) = -o**3 - 21*o**2 - 2*o - 44. Let g be t(-21). Let a = 0.2 + -0.3. What is the closest to g in 3, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491360213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -4 - 153\/7. Let o = 21 + w. Put -1, -4, o in descending order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19729815 to 3 decimal places.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*m + 127, 3*m + m + 5*h = 221. Suppose 2*j - 21 = -z, 0 = z - 0*z - 5*j - m. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.59692 and -0.1.\nAnswer: 0.759692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4384.852 + -2\nAnswer: -4386.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + h)*(-56 - 2*h + 23 + 10)*(-h + h - 3*h) in the form z*h + k*h**2 + a + v*h**3 and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7364856 is divided by 1427.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77489 by -1.\nAnswer: -77489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/11 - 3424*n**3\/11 - 1963008*n**2\/11 - 381986816*n\/11 - 2932006912\/11 = 0.\nAnswer: -568, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 40. Let c be 4\/k + 184\/40. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, -26, 6 in decreasing order.\nAnswer: 6, 5, 2, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 2. Let n(a) = -a**3 - 29*a**2 + 5*a - 3. Let x be n(-29). Let s = 143 + x. Let u(y) = -y**2. Give s*u(m) - k(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*l - 475*l + 162*l + 152*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -13240?\nAnswer: -13231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70460 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boab when four letters picked without replacement from iobaoa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 + -212. Let z(j) = -1 + 0*j - 3*j + 2*j. What is z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6932701535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d**4 - 2*d**4 + d**4)*(0*d + 0*d - 2*d) + 2*d**2 + 6*d**5 - 2*d**2 - 166*d**4 + 44*d**5 + 166*d**4)*(2 - 2 + 2).\nAnswer: 92*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 + 10*u**2 + 6*u**2)*(-5*u**2 - 4 + 4) - 31*u + 2*u**4 - 206 + 33*u + 203 as f + g*u**3 + c*u + p*u**4 + b*u**2 and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4860 and 143\/103680.\nAnswer: 311040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -0.2 (c) 88 (d) 2 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2843937*d**3*g - 194*d**2 - 434195*g - 49 wrt d?\nAnswer: 8531811*d**2*g - 388*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 56\/32)*(-12)\/405. Is -3 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -4*sqrt(19)*-5 + sqrt(19) + 1*(sqrt(2299))**2.\nAnswer: 22*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/64 - (-615)\/12. Calculate the greatest common divisor of x and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.108 - 54.108. Let g = p - -57.9. Let v = g + -4. Are v and -0.1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -5, 1, -2\/49, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 753938777 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1710988 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 3)*(-1)\/1. Let h(r) = r**3 - 9*r + 3. Let v be h(3). Sort v, 5, x, -2 in descending order.\nAnswer: 5, v, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 53 - 44 - 33 = 0. Solve -r*v + 0*d = -3*d + 31, 5*d = v + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)\/((-3)\/(-3)). Suppose -z - 4*z = j. Suppose b + z*b = -90000. What is b rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 747.903293 - 747.9. Round w to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -177, -230, -261, -270, -257, -222?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 4. Let a(w) = -2*w - 2. Let p = -18 + 20. Calculate p*x(f) + 5*a(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454735157?\nAnswer: 1399, 325043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/3*(4 + (-2)\/2). Let f(a) = 17*a**3 + 11. Let c(h) be the third derivative of -3*h**6\/40 - h**3 + h**2. Determine l*c(r) + 6*f(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-2 + -3 + (-16 - -6) - -11).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 0.043, -1127.\nAnswer: -1127, 0.043, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 69 + 333 = 0. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 73. Let u = 58 + h. Let a be (-6)\/1*5\/(-3). Calculate the greatest common divisor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 979452016 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6858*-0.395\nAnswer: -2708.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d923 (base 15) in base 14?\nAnswer: d0ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 83657 divided by 1\nAnswer: 83657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79000 and 5000?\nAnswer: 395000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (346*1 - 1) + -4 + 6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/(5\/15). Suppose 0*y + 4*y - 23 = -v*q, -2*q + 20 = 5*y. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobborbrooboooob. What is prob of picking 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.15 (b) 2\/9 (c) -306.6 (d) -2 (e) -1\/6 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 1 - 1 - 5 + 5 - 2*r - r + 1 - 1 + (-r + r + 2*r)*(-1 + 1 - 1))*(-38 - 6*r + 38).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 41*d + 215. Let x be z(-8). Solve 147*c = x*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(25 - 22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6522389 is divided by 493?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 8*t + 1238. Is z(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 - 35 = -5*l, -4*k = l. Solve -5*t = -6*t + l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.112743 rounded to one dp?\nAnswer: 233.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 = -5*p - 9, -4*y = -28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14491795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**7\/14 + c**6\/10 + 3*c**5\/20 - c**4\/4 + 6*c. Solve n(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z**7*(z**(3\/2)\/z)\/(z*z\/(z\/(z\/z**(1\/5)*z))*z) assuming z is positive.\nAnswer: z**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 644125, 644124, 644115, 644092, 644049, 643980?\n\"Answer: -r**3 + 2*r**2 + 644124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 4, a: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3388 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -710.\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 13, 3, 36.\nAnswer: -1, 0, 3, 13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-1)*(-90)\/50. Suppose 5*d = b*d - 112. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 48.301601\nAnswer: 35.301601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u**5\/8 + 10599*u**4\/2 - 1330177*u**3\/8 + 4284137*u**2\/4 + 2658249*u\/2 + 86515 = 0 for u.\nAnswer: -1, -2\/29, 11, 22, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 3*p + 2*p**2 + (3 + 2*p**2 - 3)*(-1 + 0 + 0) + 6*p**2 + 10*p**2 + 1962*p - 1948*p as w*p**2 + j*p + a and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 20*r + 204 = 0. Suppose -r*g + 50*g = -7. Let w(s) = -s**3 - 4*s**2 + 6*s + 4. Let i be w(-5). Which is bigger: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/(7\/14). Suppose f - 5 = b. What is the smallest common multiple of f and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 8. Let i(h) = 401*h - 1215*h + 413*h - 17 + 408*h. Calculate 13*a(g) - 6*i(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) -4 (b) 0.2 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) 0.09 (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i - 2*i + (-5 + 4 + 6)*(2 + 4 - 1)*(14*i - 4*i + 10*i + (2 + 2 - 3)*(0*i - 2*i + 0*i)).\nAnswer: 448*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 21.84492\nAnswer: 8.737968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -26*b - 34424. Let h = -275471\/32 - b. Find the common denominator of h and -83\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/21*(-2583)\/((-126)\/(-6)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 24, 16, 8, 0?\n\"Answer: -8*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126\/19 + 2577\/380. What is the second biggest value in p, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 4*l + 2. Let u(m) = -m**2 + 1. Let w(d) = -k(d) - 2*u(d). Suppose 17*h - 164 = -24*h. Give w(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 126 - 93 = 0. Let z(j) = -j - 22. Let s be z(u). Let k(b) = b + 21. Give k(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -15. Suppose 0*k + 4*k = f. Suppose -4*m + 5*z - 23 + 131 = k, -5*m + 4*z + 135 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ffffffggffgffff?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(sqrt(114) - (sqrt(114) + (sqrt(114) - sqrt(114)*-2))))\/sqrt(6))**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - (1\/(-6) + 9\/54). Suppose 12 + i = -w. Let p = w - -39. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 23*s - 182 = -29*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 13*c**2 + 14*c + 16. Let f be a(-12). What is the units digit of 0 + (f - -4) - -56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/16)*u*u**(1\/3)*(u*u\/(u\/(u\/(u*(u\/u**11)\/u)))*u)\/u**(2\/17))**(-5\/3) assuming u is positive.\nAnswer: u**(-58255\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918\/(-136)*(-520)\/(-2925).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13967 (base 15) in base 13?\nAnswer: 22804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 13247 = 13214 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14644871 divided by -1.\nAnswer: -14644871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-20)\/(-64)*16\/4. Suppose -5*p = 5*j + 10, d*p - 3 = -8. What is the nearest to j in 3, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 8 - (-2 + 3). Put 2, t, -2 in ascending order.\nAnswer: -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*11*10\/110?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - g - 1. Let l(r) = 3*r + 6. Let t be l(-9). Let j = t + 21. Give w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 127 = -125. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 5*j = 0. Let o(m) be the third derivative of m**2 + 1\/30*m**5 + 1\/3*m**3 + j*m - 1\/6*m**4 + 0. Factor o(x).\nAnswer: 2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2192952 or 2192979?\nAnswer: 2192979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19695?\nAnswer: 3, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1751301748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1595, -1594, -1593, -1592, -1591, -1590?\nAnswer: -1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5119926650 to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**2 + 2*w**2 + 3*w**2 - 3*w**2 + w**2 + 0*w**2 + (4 + 1 - 3)*(-2*w**2 + 2*w**2 - w**2) + w**2 - 1 + 1 - 3 + 3 - 2*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laaiwlrsw. Give prob of picking 1 w and 1 l.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, 7, 0.7 in decreasing order.\nAnswer: 7, 0.7, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/13*5\/(-10). Let y(z) = -z**3 - 3*z**2 - z - 2. Let x be ((-6)\/8)\/(3\/12). Let j be y(x). Is j <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 40. Let m(q) = 469*q. Determine c(m(g)).\nAnswer: 469*g - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18808, 0, -92, -2\/5, -1.\nAnswer: -92, -1, -2\/5, -0.18808, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169837512?\nAnswer: 2, 3, 13, 683, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113 + 1317?\nAnswer: 1317.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j**2 + 1. Let a be l(-2). Let w = 8 - 2. Solve -2*k + w*k = -2*i + 4, 3*k = -a*i - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 2. Let v be x(-5). Let o(d) = d. Let a be o(3). Suppose -a*y = -0*y. Sort v, 5, y in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-4)\/((-384)\/60)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2814\/11 + -14081\/55. Put v, 7, 4\/67 in descending order.\nAnswer: 7, 4\/67, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2176 divide 2642377728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(2))\/sqrt(7) - (sqrt(192) + 0))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1164 - 1165. Which is greater: -2626 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14826, -14825, -14816, -14793, -14750, -14681, -14580, -14441?\n\"Answer: r**3 - 2*r**2 - 14825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.03 (b) -3\/5 (c) 45019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*(sqrt(272) + 2) - -1*(1 + sqrt(272))) + -1)**2.\nAnswer: 504*sqrt(17) + 13409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 364*t**3 - 2*t**2 + 231*t**3 - 225*t**3.\nAnswer: 370*t**3 - 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 118*f + 228.\nAnswer: 2*(f + 2)*(f + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 10*r**2 + 5*r + 13. What is the remainder when z(-11) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2. Let u be (-4)\/(-6) - 4\/6. Let x(i) be the first derivative of 4 + 0*i + 5\/3*i**3 + u*i**2. Give x(z(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/24524342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*j + 18, -2*g + 4*g = 4*j + 26. Let p = -100\/399 + -2\/57. What is the second smallest value in 2, p, -1, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(13) - 2*sqrt(13)).\nAnswer: -6 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*f**3*n + 11*f**3 + 16*f**2 + f*n + 2*f + 30*n wrt n.\nAnswer: 33*f**3 + f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390268758?\nAnswer: 2, 3, 11, 5913163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 5 + (-6 - -1). Let d(o) be the third derivative of 0*o**4 + t*o - 1\/20*o**5 + 2\/3*o**3 - o**2 + 0. Differentiate d(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 11 = -3*q + 11*t, -4*q - t = 2. Let a = 938 + -942. Sort a, -11, 5, q in descending order.\nAnswer: 5, q, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -10.6, -1\/6, -0.07 in ascending order.\nAnswer: -10.6, -0.5, -1\/6, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1039788 and 15300.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 10, 81, 222, 457, 810, 1305?\nAnswer: 1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n**2 - 2*n. Let s(r) = 22*r**2 - 265*r + 127*r + 138*r. Determine o(s(p)).\nAnswer: 7744*p**4 - 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2514\/4 - (-12)\/(-8). Let u = -479 - -890. Suppose l = 6*z - u. What is the remainder when z is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x = -139694 - 290693. List the prime factors of x.\nAnswer: 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-one halves of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i = -3*i + 92. Suppose -v**4 + 1\/2*v**3 + 1\/2*v**5 + 0 + 0*v + 0*v**i = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*c + 70 + 14, 5*c + 3*w - 231 = 0. What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inovzilz. Give prob of sequence zo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 252?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 423 - 419. Let f(u) = 2*u - 1. What is f(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-24 + 1 + -9).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*f - 6*f + 12, -2*h = -3*f + 7. Let u(g) = g**3 - 3*g**2 + g + 1. Let d be u(f). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f**2. Calculate the smallest common multiple of 2 and k(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/150 - d**4\/15 - 4*d**3\/5 + 136*d**2 - 2*d. Determine r so that t(r) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.16 and 50.9?\nAnswer: 57.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 6*d. Suppose d = 7*l - 2*l, -3*l = 2*m - 88. Suppose 0 = 4*k - f - 65, 5*k + 5*f - 6 = m. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6371, -5404, -4439, -3476, -2515, -1556?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 34*k. Let q(d) = 2212*d**2 + 173*d + 1. Calculate -5*a(p) + q(p).\nAnswer: 2217*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*c**5 - 454*b*c**2 - b*c + 2*b - 53*c**5 - 669*c**3 - c**2 + 17 wrt c.\nAnswer: 60*b*c**2 - 3180*c**2 - 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 1. Let i be c(-1). Let r(p) = 2442*p - 4870*p + 2429*p. Calculate r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3042 rounded to the nearest 10?\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 272 = 46. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001252281 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/14*(14 - -31 - (-130496)\/(-2880))?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 604*i**2\/3 + 21760*i\/3 + 209600\/3.\nAnswer: 2*(i + 20)**2*(i + 262)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*j - 2 = 0, 0 = 3*h + 54*j - 58*j + 29 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/7 + 11572*l**2\/7 - 64421520*l\/7 + 75085066944\/7 = 0. Calculate l.\nAnswer: -15916, 2172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1952412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - y + 1 + 0*y)*(-y**2 - 5*y**3 + 171*y**3 - y**3).\nAnswer: 660*y**4 + 161*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 + 100101001001?\nAnswer: 100110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 12*t**2 - 94*t + 438. Give o(5).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1351, 10914, 36869, 87412, 170739, 295046?\n\"Answer: 1366*s**3 + s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 3\/8 (b) -5 (c) 0 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17 + -2)*(-6)\/(-9). Suppose -4*y + f = -10. Let o = y - -7. Calculate the highest common factor of o and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -64, 0 in descending order.\nAnswer: 1\/3, 0, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 - 108*v + 117. List the prime factors of q(52).\nAnswer: 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**5\/2 + 5*c**4\/4 - 13. Suppose b(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -64.6\nAnswer: -25.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7489 + 16320. Is g a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 14. Suppose 5*g - d = -4. Suppose q = g*i + 14, -2*q + 6*q + 3*i - 23 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 17. Let q be 2*(-11)\/2*1. Let f be y(q). Solve 6 + 4 = 5*h + o, 5*o = 3*h - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -16*q + 4. Let s be j(2). Let c = 46 + s. What is the lowest common multiple of 8 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((i\/i**(-9\/5))\/i)\/i)\/i)\/i*i)\/i**(-4\/3))**(-3\/4))**(-42) assuming i is positive.\nAnswer: i**(357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1339278 divided by 2\nAnswer: -669639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -520, -1241, -2152, -3247, -4520?\n\"Answer: r**3 - 101*r**2 - 425*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2620.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12026, -12003, -11980, -11957, -11934, -11911?\nAnswer: -11888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 + 3*s - 22. Let y be z(7). Let u(k) = -6*k - 2. Let t be u(y). Solve -3*p + p = t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-6\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -35366?\nAnswer: 21\/35366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4746, -5307, -5842, -6345, -6810, -7231, -7602, -7917?\n\"Answer: u**3 + 7*u**2 - 589*u - 4165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1725)\/(-105) - (3 + (-100)\/28). Solve 5*a - x = -2*u, -a = u - 4 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11767b (base 12) to base 7.\nAnswer: 2254655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/20)\/((-78)\/65). What is the nearest to s in -2\/17, -0.1, -1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/38*76\/8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*o + 2*i - 4 = 0, -11*o + 59*o + 212 = -5*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 3*t + 84. Suppose -5*s - 2*l - 2*l - 20 = 0, 4*s - 4*l - 20 = 0. What are the prime factors of p(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*s + 66 - 4 = -104. Let l be (2\/4)\/((-1)\/(-2)). Calculate the highest common divisor of l and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 + -366. Let y = z - -87. Let q be (2 - -12)*y\/(-14). What is the highest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j + 84 = -37*j. Let o = -19 - j. Let g be (-1)\/o - (0 - (-145)\/(-10)). Solve -2*t - 2*z - g = 0, 3*t + z + 0 = -15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 8:36 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5156 is divided by 147?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 66.00000482. Round d to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Let n(x) = -6*x + 2. Let u(k) = 5*g(k) + n(k). Let w be u(8). Let y = w - 1. Which is the nearest to -2\/3? (a) 5 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.2 + -6. Let x = -0.3 + 0.4. Let r = 4.2 + -8.2. What is the nearest to q in -0.1, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3208, -7542, -11876, -16210, -20544, -24878?\n\"Answer: -4334*n + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.1 (b) -1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5*v + 69 = 0. Calculate the remainder when v is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3*2\/6 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-20)*12\/3. List the prime factors of d\/(-5) + (-1617)\/(-35).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1828 = -2*v + 8010, 2*g - 6179 = v. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 6*t + 5. Let d be r(5). Let w(i) be the first derivative of -i**4\/4 - i**3\/3 + i**2\/2 + i + 1. Determine w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and (1248\/120)\/(-2 - 1\/(-5)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1149 - 1033. Solve 0 = -6*d + 92 - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227050 a multiple of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 97435?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924557 + 783*w + 771*w + 924557 - 1544*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -524*w - 1594503 + 1650047 for w.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*h + 74, w + 3 = -5. Solve 0 = -h*v - 85 + 99 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 (base 12) in base 8?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 1\/4, -0.4, -1, 15, -16, -1\/8?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-2*-1 + sqrt(96) + sqrt(96))\/((5*sqrt(432) - sqrt(432)) + sqrt(432)) + 1.\nAnswer: 4*sqrt(2)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030103123 (base 4) in base 2?\nAnswer: 1001100010011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 2*v + 0*v)*(-16 - 666*v**2 + 668*v**2 + 3 - v) - 5*v**3 + 3*v**3 + v**3.\nAnswer: 3*v**3 - 2*v**2 - 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*d - d**2 + 85*d + 3*d**2 - 4*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68773 is divided by 314.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -154, -182, -242, -340, -482?\n\"Answer: -f**3 - 10*f**2 + 9*f - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25712 + 18*r + 25707 - 7*r - 51419.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(30\/(-9))\/5. Let i(j) = -2 - s*j + 3 - 1. Let v(r) = -4*r - r + 0*r. Give i(v(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/29872 and -55\/14936.\nAnswer: 29872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b + 12. Let g(h) = -2*h + 3. Let n(a) = -9*g(a) + 2*m(a). Let k be n(-2). Let z(l) = -l**3 - 8*l**2 - 8*l - 6. Determine z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384780405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -8\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from eiieiieefei?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1423143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - -17 - 17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 5*n + 2)*(2*n + 3*n - 7*n)*(-2 - n + 2 - 2*n**2).\nAnswer: 8*n**4 + 12*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 598.29?\nAnswer: -603.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40980 divided by -3\nAnswer: -13660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2282)\/(-3475160)*-160 - (-4)\/(-82)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9023553 and 9135.\nAnswer: 45117765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11226 + -0.0482019.\nAnswer: 11225.9517981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 618944, 1238028, 1857112?\nAnswer: 2476196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 1)*(0 - 6 + 1)*(-19*v**4 + 18*v**2 - 22*v**2 + 6*v**2).\nAnswer: -475*v**4 + 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/66605 and -17\/77.\nAnswer: 66605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 2*r - 1. Let t be g(2). Suppose -4*u + u + 6 = 0. Suppose -w + 4 = 2*i - i, -w = -u*i - t. Sort -3, w, -4 in ascending order.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1 - 4*g + 26*g + 1. Let u(k) = -127 + 48 - k + 39 + 40. Determine u(t(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*5 + 4\/1*-1. Suppose 18*v = 30 + f. Solve -v*r - 8 = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 25*f**4\/12 + 295*f**2. Let l(u) = -4*u. Give s(l(r)).\nAnswer: -200*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.44 (b) -0.5 (c) 0.09 (d) -1 (e) -0.15 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 divided by -475?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45146 = -4398*q - 147781 + 21405 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30103 - 1133?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -181016*h + 362932.\nAnswer: -181016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 9061470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (72\/81)\/((-2050)\/(-138375))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201928*d*f**4 + 6*d*f**3 - 26508258*d*f**2 - 8*d + f**4 - 2*f**3 wrt f?\nAnswer: 4846272*d*f + 36*d + 24*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-175)\/70)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1635426*u + 28197. Let s(t) = 3133*t + 54. Let z(c) = 6*a(c) - 3133*s(c). Let f(l) = 2*l. Calculate f(z(x)).\nAnswer: -6266*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 17. Let x(k) = k**2 - 7*k. Let o be x(l). Suppose 3*b - y - 47 = 0, o = -y + 4*y - 3. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 21*y**2 + 122*y - 59. What is w(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (4 - (-3 - -7)) - (-365 - -331)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a factor of 212169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*t = 155*t + 14185 - 249 + 58472 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -41, 4\/3, -49.\nAnswer: -49, -41, 4\/3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q. Let v(p) be the third derivative of -3*p**6\/40 - p**5\/5 - 3*p**4\/8 - p**3 - 4*p**2. Let o(z) = -6*t(z) + v(z). Find a such that o(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12104 + -12104.3335. What is b rounded to 2 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47916 and 588024?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + s - 14 = -w, -2*w = -2*s + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**5\/12 - 95*i**4\/3 + 19*i**2 + 19. Determine f, given that x(f) = 0.\nAnswer: 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.6 (b) 0.1 (c) -17 (d) 3 (e) -1\/4 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9613825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**5 + o**3 + o**2 - 3. Let n(t) = 1894*t**5 + 6*t**3 + 2*t**2 + 196. Let i(a) = 6*c(a) - n(a). What is the third derivative of i(w) wrt w?\nAnswer: -113280*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 74 = 4*v. Suppose v*i - 308 = -11*i. Suppose 5*d + 157 = 4*j - 0*d, 91 = 2*j - 5*d. What is the highest common divisor of j and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584793623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -785*g + 577*g + 466*g to the form p + o*g and give o.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 m when four letters picked without replacement from jmjmm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/18 - 7\/(-2). Let p(m) = 15*m**2 - 4*m**2 + 6*m**2 + y*m**2. Let a(o) = -4*o**2 - 13*o + 13*o + 2*o**2. Determine a(p(c)).\nAnswer: -800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 0. Let l = 4 + d. Solve l*z - z**2 + 20 - 20 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 1000, 3196, 7546, 14788, 25660, 40900?\nAnswer: 61246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46626266353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (5*(sqrt(153) + -2*sqrt(153)) - sqrt(153) - sqrt(153))) + -1)*3.\nAnswer: -78 + 315*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 23. Let f = v + -16. Solve -5 = 3*u - 3*n - n, 13 = -f*u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 18*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -117, -223, -335, -459, -601, -767, -963, -1195?\n\"Answer: -o**3 + 3*o**2 - 108*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159394607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 4173478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcbgcqcnenqq. What is prob of picking 1 q, 1 e, 1 c, and 1 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/4 (b) 2\/9 (c) -1 (d) -1472 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b + v + 1, -4*b - 5*v = 3. Solve 5*t - b*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388003 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19805\/17*4\/(-30)*(13 + -22). Calculate the greatest common divisor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.22 + 13. Let j = r + 0.12. Let w = -0.1 - -0.1. What is the closest to w in -4\/3, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3)*d*d)\/d*d*d)\/(d*d\/(d**5\/d)))**0\/((d*d\/((d*d**(-5)*d*d)\/d))\/d*d**(2\/5))**(-3\/53) assuming d is positive.\nAnswer: d**(66\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21212140 (base 5) to base 4\nAnswer: 223231211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2436093, -2436094, -2436095, -2436096?\n\"Answer: -o - 2436092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from exlizem?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/84 (b) -158 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(288) + 1*sqrt(288))*-4 + 1)**2 + -2.\nAnswer: -192*sqrt(2) + 18428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339018 is divided by 1012?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2)*6 + sqrt(1900) + 2 + (sqrt(95) - (sqrt(95)*2*2 + sqrt(95) + sqrt(95)))\/sqrt(5).\nAnswer: 14 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 divided by 515?\nAnswer: 1316\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 942\/3101 - 8\/443. Let l = -300.49 + 298. Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -192, -149, 374, 1617, 3820?\n\"Answer: 40*n**3 - 237*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-330))\/(7\/(-42)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 5. Let k be h(-9). Let m(z) = z**3 - 3*z**2 - 7*z + 17. Let o be m(k). Solve -o*d = -2*a + 6 + 7, 3*a = d + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1322, 8 in decreasing order.\nAnswer: 1322, 8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 1) + (168 - 154) - (-40 - 8).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.198245 in 2\/15, -4, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 = n - 4*m, 2*n + 4*m = -10. What is the units digit of n\/(-4) + (-445)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 73 + 26*a**2 + 338*a + 2\/3*a**3. Let y(w) = 0. What is w?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3091 by -74.\nAnswer: -3091\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 632 - 632. Suppose r = -5*y + a + 20, 2*a - 3*a + 8 = 2*y. Solve c = m, -m = y*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q + q)*(-2 - 3 + 4) + (2*q - 5 + 4 - 1)*(3*q - 6*q + 2*q) + 9*q**2 - q**2 - 7*q**2.\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1782 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283.24 less than 0.24?\nAnswer: 1283.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -102*y**2 + 3*y - 82. Let p be x(8). Let c = p - -13055. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 339, 343?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16421 (base 11) to base 7.\nAnswer: 124306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 10*s**2 + 10*s - 10. Let g be c(-11). Does g = 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*f, 0*f + f - 14 = -x. Suppose -37 = -2*k + 1. What is the remainder when k is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:59 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -85 - (-2934 + 2860)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o - 5\/6*o**3 - 1\/6*o**4 + 0 + 2*o**2. Let q be x(-2). Solve -3*c + 2*k = -15, -q*c - 7 + 22 = 5*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.25 - -0.25. Let c = 446 - 449. What is the third smallest value in c, 4, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + ((sqrt(432) + -1 - sqrt(432)) + -2 - (-2 + sqrt(432) + 5 - sqrt(432) - sqrt(432))) + -3))**2 + -4 + 3.\nAnswer: -3840*sqrt(3) + 8511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vctitcif. Give prob of sequence vt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3155524 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y - j + 382, -2*y + 5*j + 207 = 0. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + -1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3588.2 + -3589. What is the smallest value in -3\/2, 3, -0.19, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 19*r**2 - 32*r - 17. What is m(17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -38. Let l = 50 - z. What is the fourth biggest value in -5, -4, -1\/3, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 314\/15 + -883\/57. Let q = j - -3\/19. Calculate the common denominator of (-2)\/6 + 488\/168 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 18*l - 8. Let y be (-747)\/(-36) + ((-5)\/(-4) - 1). Let g be -15*7\/y + 3\/(-1). Let n be c(g). What is the highest common factor of 120 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.06, -7\/5, 0.16, -1 in ascending order.\nAnswer: -7\/5, -1, -0.1, 0.06, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 2, t: 10}. Give prob of picking 2 w.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -23*f + 82. Let j(p) = 5*p**2. Give w(j(n)).\nAnswer: -115*n**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -186*u**3 + 17*u**2 + 33*u + 18. Let w be v(16). Let p = w - 260042. What is p rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334719 is divided by 161.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 6*i**2 + 7*i - 4. Let f be l(-7). Let m be (f - (-21)\/5)\/((-3)\/5). Suppose 0 = 4*c - 4. Is c equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38090 and 14?\nAnswer: 266630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let y = -1612 + 1616. Solve 5*c - f = y, -4*f + 1 + q = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887775809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7516*j + 4. Let l(a) = a. Give g(l(t)).\nAnswer: 7516*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*x - 44, -3*d - 64 = -7*d + 3*x. Suppose -2 + d = -i - 2*n, -5*i = -3*n + 107. Let f = i - -70. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-8)\/9). What is the second smallest value in a, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aayawjavyvvn. Give prob of sequence va.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 - 59?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -549, -1, -188 in decreasing order.\nAnswer: 5, -1, -2, -188, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-64)\/(-48) + (1 - 1)). Solve 5*z - 45 = -5*p, 0 = z + 4*p - 32 + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 33995584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-3)\/(-2)). Suppose -79 = o + 99 - 169. Let y be 7 + -2 + (-1 - -1). What is the closest to s in 0.2, o, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 782 and 145282?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aooeaao. Give prob of sequence aoo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11698 + -7497. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*y + 34, 0 = -l - 4*y + 18 - 8. Let z = -139 + 203. Calculate the remainder when z is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208964700601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3838, 7303, 10914, 14743, 18862, 23343, 28258, 33679?\nAnswer: 39678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*s, -5*h + 45*s - 48*s + 568003 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60941216*n**6*x**3 + 2*n**2*x**3 + n**2*x + 33*n**2 - 6*n*x**3 + 36*n*x**2 - 166*x**2 wrt n?\nAnswer: -7312945920*n**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/11 + 412\/33. Let n = 1019\/75 - y. Let v = -9330 + 9330. Which is greater: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(-4))\/o)*o)\/o*o*o**(1\/3))\/(o*o**0)**6*(o**(2\/7))**(-15)\/(o**(-2\/3))**18 assuming o is positive.\nAnswer: o**(169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -360296 and 1185262.\nAnswer: 824966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 483 + 17*v - 483 + ((6 - 1 - 3)*(-8 + 9 - 4) - 8 - 16 + 1)*(-2*v - v + 4*v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 74*r - 203. Give d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < -17.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 8 = -5*z. What is the lowest common multiple of 3 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7427*-19937.\nAnswer: -148072099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 171. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131145, -262286, -393415, -524532, -655637, -786730?\nAnswer: -917811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486503 a multiple of 1373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/2)\/i)\/i**6)**(12\/13) assuming i is positive.\nAnswer: i**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/8 - 2\/8. Suppose 3*c + c - 164 = -4*x, 5*c + 5 = 0. What is the greatest common factor of x and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697660.\nAnswer: 2, 5, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52829828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1.585953.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12\/19, -7, 0, 5, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32344409, 32344413, 32344419, 32344427?\n\"Answer: u**2 + u + 32344407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 12 - 2)*(111*t**4 - 52*t**4 + 33*t**4).\nAnswer: 2116*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -8. Suppose l*c + 2*w - 324996 = 3*w, 0 = c - 4*w - 64984. Round c to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.2 (c) -0.2 (d) 0.238 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 5*i + 4 = 0, 4*i = 2*d - 4. Let v be d*-4*(-15)\/(-24). Determine z, given that -1\/4*z**v + 1\/4*z**3 - 1\/4*z**4 + 0 + 1\/4*z**2 + 0*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27748, 27746, 27746, 27748, 27752, 27758, 27766?\nAnswer: 27776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10964108981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001001101011 + 11101010?\nAnswer: 11001101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 19*l**2 + 33*l - 30. List the prime factors of y(18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1054*h - 16 = -1058*h. Calculate the least common multiple of 433 and h.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/120 - 20*r**3\/3 - r**2 + 35*r. Let h(k) be the second derivative of q(k). Let f(w) = 13*w. Give f(h(y)).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 730 - 37232\/51. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96193 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, -18, -177, -516, -1095, -1974?\n\"Answer: -10*w**3 + 31*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -11. Suppose 92 = 4*w - 4*t, -w = 3*w + x*t - 74. What is the greatest common divisor of 180 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 + 116 = -51*z + 107 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89541698*g**2*v**3 + 299*g**2 + 27*g + 2*v**3 - 2 wrt v.\nAnswer: 268625094*g**2*v**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 22, 16, 8, -2, -14, -28?\n\"Answer: -p**2 - p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s. Suppose -3*p - 2*p + 20 = s. What is the second derivative of 4*c + c - p*c - c**5 wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 70.24199 micrometers?\nAnswer: 70241.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54650, 0, -2\/3, -9, 5.\nAnswer: -9, -2\/3, 0, 5, 54650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 150. Suppose b = 4*v - 2*v. Suppose -3*q + v = 2*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*w + 12, -g - 1735*w = -1731*w - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*3\/(-45))\/(8\/96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 0*c**2 + 1\/12*c**4 + 0*c**3 - 1\/5*c**5 - 6*c + 0. Find the third derivative of a(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 52 = -3. Let i be a + ((-6)\/3)\/(-2). What is i rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b13 (base 13) to base 15\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 0.2457, 4, -84, -1?\nAnswer: 0.2457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 822.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 113*d**6\/15 - 98*d**3\/3 - 92*d. Find the second derivative of z(f) wrt f.\nAnswer: 2712*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10)\/n**8*n**(-2\/11)\/(n*n**(-12\/11)\/n))**1 assuming n is positive.\nAnswer: n**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + (15\/(-1))\/3. Let j = 5 - 1. Let q be 2\/((-3)\/4*j\/(-12)). Solve p*a + 2 = q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s + s. Suppose -s*p - 4 = -2*p. Calculate the remainder when 3\/((-3)\/p)*11 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3 + ((-27720)\/18720 - 35\/20)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 2*m - 6. Let o be b(5). Suppose 4 = 55*p - o*p. Let c be ((1 - 2)\/p)\/((-26)\/16). Is c equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1672785 by 111519.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3 = -12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 5. Let x(i) = -10*i**3 - 2*i**2 + 4*i + 2. Let u(h) = -20*h**3 - 5*h**2 + 9*h + 5. Let d(c) = m*x(c) - 3*u(c). Calculate d(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 72. Let x be (-9 - -10)\/((-3)\/m). Solve 3*u + 3*z = 0, x*u = u + 5*z - 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90459\/22 + -4109. Calculate the common denominator of l and (5\/(-50))\/((-16)\/610).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - 5*g)*(2*g**2 - 2*g**2 + 2*g**3) - g**4 + 2*g**4 + 0*g**4 + (-2*g + g + 0*g)*(2*g**2 + 2*g**3 - 2*g**2) - 10*g**4 - 3*g**4 + 25*g**4.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 377, 373, 369, 365, 361?\n\"Answer: -4*z + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p + 27. Give l(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 17. Let q be p(-5). Let c = q - -16. Suppose 5*f - 69 = 3*m, -5*f - 3*m = m - 83. Calculate the remainder when f is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 646, 498, 358, 226, 102, -14?\n\"Answer: 4*m**2 - 160*m + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**4 - 3*p**3 + 18*p**2 + 22*p - 2. Let r(i) = -10*i**4 - 5*i**3 + 35*i**2 + 45*i - 5. Let m(x) = -5*q(x) + 2*r(x). Suppose m(d) = 0. Calculate d.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-460.\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021221 (base 3) in base 2?\nAnswer: 1110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -424354\/33 + 12858. What is the common denominator of 2\/12*(-212)\/6 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3153277 and 2162.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89196, -2\/15, -79 in descending order.\nAnswer: 89196, -2\/15, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6038 - 88*t + 3017 + 3021.\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2376 - -0.0876. Which is the closest to -1\/6? (a) u (b) -5 (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4126 divided by -5.\nAnswer: 4126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxpxdllpllpdllxl. What is prob of sequence dx?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 + -0.01. Let t = -58 - -57.9. Let h be (2\/(-11))\/(-15 + 16). Which is the closest to h? (a) t (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c**2 - 130*c + 21. Let v be z(15). Suppose -9*l = -1356 + v. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 7:55 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 27*h - 24. Let g be r(6). Let z(f) = f**3 + 8*f**2 + 10*f + 11. What is z(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7) + 3 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8774453 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -4, 5, -3, -0.08 in ascending order.\nAnswer: -4, -3, -0.09, -0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 610, 1280, 2206, 3382?\nAnswer: 4802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -24 + 40*w - 20 + 59 + 97. What is the tens digit of k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*b + 4*i - 0*i, i + 37 = 5*b. Suppose 0 = 4*w - 37 - 19. Calculate the greatest common factor of b and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and 1237125285948.\nAnswer: 1237125285938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1876598 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -5\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17189*b - 14093*b + 5648*b - 7640*b as j*b + v and give j.\nAnswer: -33274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1974*z - 2531 wrt z.\nAnswer: 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17372 rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + ((-880)\/24)\/11. Let r = 2 - -48. Let s = r + -103\/2. Which is the third smallest value? (a) o (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 - 7*n - 5. What is the remainder when 9 is divided by t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 16 = -5*w + 3*o, 2*o + 10 = 0. Suppose 19 = 3*l + 4*d, -w - 5 = -5*l + 3*d. Suppose 2*s = -0*s. Solve 0*y + l*y - 5 = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**2 - 5*z - 5. Let j(y) = 11*y**2 + 6*y + 6. Calculate -5*j(x) - 6*p(x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 44*o**3. Let g be a(1). List the prime factors of (g\/(-12) + 3)*-36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 7667b82?\nAnswer: -7667b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 46. Which is greater: -17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 452.58 - 0.3\nAnswer: 452.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 10759.8 and 6482 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 94 + 19 = 0. Let z be 44 + 8\/(-4) + 3. Calculate the highest common factor of z and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458611963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95764 and 76396?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 214*l + 1746. Determine u(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 52925*r**2 + 2580810*r + 5373360.\nAnswer: 5*(r - 10536)*(r - 51)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o + 8267 - 8267.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15997889159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25527, 51045, 76561, 102075, 127587, 153097?\nAnswer: 178605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4850 + 4829. What is the second biggest value in t, 13, -1\/4, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 29 + 4*o - 9*o + 7*o. Let x be k(-14). Let q be ((-3162500)\/3)\/(x\/24). What is q rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4669263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.93 - 1. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 10. Let d be j(-8). Let s be (-4)\/(-9) - 4\/d. What is the second smallest value in 0, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/777)\/((-16)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167687 is divided by 1048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151363 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/5*(-6)\/((-12)\/5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f)\/f*f*f\/(f**(-6)*f) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15)\/(16\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 11) to base 13\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/(((i**9*i)\/i*i)\/i))**41*((i*i**(-1\/2))\/i*i)**(1\/2)*(i*i**(1\/4)*i*i)**37 assuming i is positive.\nAnswer: i**(-1481\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*u + 110055 = 0, 0 = 4*u - 19 + 7. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 24. Let y = 0.43776 + 18.5623. Let m = c + y. Round m to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 20*r**2 + 30*r + 204. Calculate the remainder when x(-7) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, c: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(500) + 4 + 2 + (sqrt(500) + (sqrt(500) - (sqrt(500) + -1)) + 0)**2.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w - 10. Let v(p) = -w - 3*p + 2 - 2*p - 1. What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572*3.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -0.036701774.\nAnswer: 4.963298226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1596 (b) 5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and 7\/185007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -4\/7, 3, -955?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/6 - (-3)\/(-18). Let m be u*13*(-12)\/9. Does 4 divide 4\/(-6) - m\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 206*r\/7 - 204\/7.\nAnswer: -2*(r + 1)*(r + 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/2280 and -83\/7410.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -666*u**2 + 151?\nAnswer: -1332*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z + 5*z - 2*z + (2*z + 2*z - 18*z)*(4 + 0 - 5).\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - ((-920)\/(-50) - 8). Which is the second biggest value? (a) o (b) 3\/8 (c) 2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9149 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 45*f**3 - 3635945*f**2 - 8080080*f - 1616020 = 0.\nAnswer: -2, -2\/9, 80801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66240 = -184*x - 0*x. What is the smallest common multiple of x and 126?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + v**2 + v**2 + 11 to q*v**2 + a + z*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let i(f) be the first derivative of 7\/2*f**2 - 39 + 0*f. Give i(h(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-576))\/(4\/64)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004197 to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m = 10 + 8, 0 = -2*z - m + 14. Suppose -5*n = -z*n + 108. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*1530\/9 - -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33259774*0.5\nAnswer: 16629887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826879804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 49128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 11*n - 7. Let m be y(5). Suppose -m*x = -6423 - 2924. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482 smaller than 2483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 15 - 15. Let l(w) be the second derivative of z - 7\/6*w**3 - 5\/2*w**2 + 1\/20*w**5 + 1\/4*w**4 + 4*w. Determine l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -42, -2\/13, 1, 29, -1\/3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*s = 598 - 950 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/12 + i**3\/6 + i**2\/2 - 7*i. Let y be n(2). Let m(d) = d**3 - 5*d**2 - 7*d - 4. What is the tens digit of m(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1760*m**3 - 546*m**2 - 8. Let g(c) = c**3 - 2*c**2 + 4. Let w(y) = -b(y) - 2*g(y). Find the third derivative of w(x) wrt x.\nAnswer: -10572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-6\/5))**(3\/28)*((g\/(g*g**(2\/3)*g*g*g))\/g)**(-24)*(g**(-2\/5))**(-1\/4) assuming g is positive.\nAnswer: g**(1121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 298\/131309 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, and 1 v when three letters picked without replacement from cvicccivciivhivich?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, -2366477, 1, 3, 2\/9, 14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4963921*b - 6*b**3 - 9*b**3 + 4963921*b + b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1334, -0.2, -6\/29, 0.4 in decreasing order.\nAnswer: 0.4, -0.2, -6\/29, -1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 4. Let p(n) = -2*n - 4. Let x(t) = -3*m(t) + 2*p(t). Suppose -h - 3*h = -20. Let q(a) = a - 5. Determine h*x(r) + 4*q(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 93 = -3. Suppose -390 = -5*d + 3*i, -3*i - 6 = 9. What is the highest common divisor of d and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 0, -4, -2\/7, -3 in ascending order.\nAnswer: -4, -3, -2\/7, 0, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 - 5*k - 1. Let o be 4\/(-2*(-4)\/8). Let a = -24 + 14. Let x(n) = -2*n**3 - 6*n**2 - 11*n - 2. Let m(w) = a*j(w) + o*x(w). Factor m(b).\nAnswer: 2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 204\/48 + 30\/40. Solve -q + 2*q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**2 + 4*v + 5. Let f be (-110)\/25 - 9\/15. Let o be j(f). Let y = -49 + o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2 - (-3 + -2)). Find the second derivative of g**4 + 0*g**4 - g + l*g**4 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 9. Let c be o(-8). Suppose c = i - 1. Suppose 12 = 2*s - 4. Solve 4*p = -2*f - i, 5*f + p = 14 + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r - 15*r = -192. Solve r = 8*f - 9*f, t - 4*f = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43669 is divided by 251.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5682820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001746718215 rounded to 7 dps?\nAnswer: 0.0001747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*r + r. Suppose r = -4*s + 9. Let l = s + 7. Solve 0 = -p - 5, -3*h + 3*p - l*p + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*y + 64, -3*y - n + 21 = -16. Let s(x) = -x**3 + 11*x**2 + 6*x + 6. Let h(j) = -j. Let w(d) = 6*h(d) + s(d). Calculate w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q + 407 = 3*o, -3*o - 2*q = -442. Calculate the greatest common factor of o and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 0*y**6 + 101*y + 0*y**4 - 124\/7*y**7 + 0*y**2 - 202 + 2\/3*y**3 + 0*y**5. What is the third derivative of j(p) wrt p?\nAnswer: -14880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 21456*t**2 - 2772921*t - 2751462.\nAnswer: 3*(t - 7279)*(t + 1)*(t + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 46. Suppose 0 = -d + 26 - 50. Let r be m(d). Put 0.6, -0.05, r, -1\/5 in decreasing order.\nAnswer: r, 0.6, -0.05, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8874 divided by -1.\nAnswer: -8874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -7*c**2\/2 + 9*c - 4 = 0.\nAnswer: 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 d when four letters picked without replacement from {d: 3, w: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -27. Let i(c) = 11*c**3 + 3*c**2 - 3*c + 2. Does 32 divide i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = -0. Let h(r) = -5*r - i - r + 8*r. Determine h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-18))\/((-70370)\/(-2010) - 35) and -31\/2196?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4920321.72 to the nearest 10000.\nAnswer: -4920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/150335 and -69\/428.\nAnswer: 601340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -66.1. Which is the closest to 2? (a) s (b) -8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7713984 and 2249912.\nAnswer: 53997888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 - 2240*b**2 - 61495*b - 59250 = 0. What is b?\nAnswer: -25, -1, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(24) + sqrt(24))\/sqrt(8) - sqrt(3)) + (2*sqrt(75) - sqrt(3)) + 5.\nAnswer: 5 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 2, u: 3, z: 3, y: 1, n: 1}. What is prob of sequence ky?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -894 - -2100. List the prime factors of x.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5842953 is divided by 2797?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18256*c - 5. Let p(v) = 2*v. What is k(p(t))?\nAnswer: 36512*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18\/11 - 179\/22. Calculate the common denominator of 25\/68 and v.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*j**2 - 423\/2*j + 0 = 0. What is j?\nAnswer: 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a - 2. Let w(o) = 65*o**3 + 882*o**2 - 3*o - 6. Let v(p) = 6*s(p) - 2*w(p). Find the third derivative of v(m) wrt m.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (144\/10)\/(46\/115). What is the units digit of 7\/((-112)\/(-36))*(a - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*o + 18, -45 = g - 6*g - o. Is g less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -59*j**2. Let k(s) = -27*s**2. Determine g(k(m)).\nAnswer: -43011*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {h: 1, k: 2, d: 1, z: 1, t: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddcccdcdcdc. What is prob of sequence cc?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105b40 - 0?\nAnswer: 105b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112501241?\nAnswer: 67, 1679123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 25 = 15*f. Solve -f*k = 25 - 37 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3237 + -3716.8. Let u = 480 + i. What is the fourth smallest value in 0.5, -10\/9, u, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 985, 987, 979, 955, 909?\n\"Answer: -b**3 + b**2 + 6*b + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3936 and 15744?\nAnswer: 15744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24099993*h**3 + 1150768*h wrt h.\nAnswer: -144599958*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 7704994*b + 23114991 = 0. What is b?\nAnswer: -7704997, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h**3 + 14\/5*h - 7\/5*h**2 + 48\/5.\nAnswer: -(h - 3)*(h + 2)*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8063.56*-4.4.\nAnswer: -35479.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2) + 66 - (-55 - (-108 - -53))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7776*o - 404493. Calculate n(-52).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**2 + 51*g - 179. Let k(j) = 3*j**2 + 10*j - 36. Let a(n) = -2*i(n) + 11*k(n). Is a(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121122110112000 (base 3) to base 7.\nAnswer: -135124254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -687662*f + 4125998. Give j(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000083674 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*r*s**3 - r*s**2 - 2*r*s + 17*r wrt s?\nAnswer: -123*r*s**2 - 2*r*s - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o, -5*q = -3*o - 6 - 20. What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {f: 2, r: 6, y: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134 + -20110431?\nAnswer: -20112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**3 + 5*a**2 - 7*a + 23. Let v(b) = 20*b**3 - 14*b**2 + 20*b - 68. Calculate 14*n(m) + 5*v(m).\nAnswer: 2*m**3 + 2*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/(5*(-5)\/(-50))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 1, g: 1, e: 1, r: 1, j: 1}. What is prob of sequence oe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 14) to base 6\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 16*r**2 - 47*r + 16. Let n be i(-12). Let v be ((-2 - -2)*1)\/1. Which is the nearest to -2? (a) v (b) -2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + 6*y. Let g(k) = 5*k**2 + 6*k. Let z(s) = -5*g(s) + 4*h(s). Suppose 3*x - 4 + 22 = 0. Let m be z(x). Solve 3*f + 0*f + 12 = m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(98) + (-3*(sqrt(98) + -2) - sqrt(98))**2 + -4.\nAnswer: -322*sqrt(2) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrtmmtmebrtbtmmt. What is prob of picking 2 r and 1 l?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4515457.3 to the nearest 1000.\nAnswer: 4515000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2714, 5304, 7762, 10088, 12282, 14344, 16274?\n\"Answer: -66*j**2 + 2788*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8489*v**2 + 109*v - 8490*v**2 + 15*v in the form h + y*v**2 + a*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Let w be ((-8)\/(-6))\/(348\/261). Let t be (2\/3)\/(4\/72). Let g be ((-8)\/t)\/(w\/(9\/2)). Determine j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzaoqzqqlqzqzzz. What is prob of sequence lol?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 19*c - 82. Let v be o(23). Suppose v = p + q, -24 + 9 = -2*p - q. Solve -3 + p = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -30*n. Let x(z) = 338673*z. Calculate o(x(q)).\nAnswer: -10160190*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799 = 12*x + 2741. Let h = -201 - x. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3096 and 368025132.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**2 - 105720*r + 1692800 = 0.\nAnswer: -21160, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8346 and 347781993?\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-1) - -8 - 3568\/12. Let p = r - -293. Which is the closest to -1\/2? (a) p (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s**2 - 2*s - 69. Let p be o(0). Let g = -9 - p. Let n = -56 + g. Solve -4*i - n = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*y - 50 - 0, 0 = -2*x + 4*y + 110. Let m = x + -39. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - -2) + (3 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -13.8. Let y = g - 0.3. Which is the third smallest value? (a) y (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9) + 6 + 40\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(-12\/7)*h)\/h))**(-3\/32)*h**(-27)\/(h*h\/(h*h\/(h*h\/(h**25\/h)))*h*h*h*h) assuming h is positive.\nAnswer: h**(-513\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -6, -40, -92?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343993 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893757 is divided by 304?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 205186929 + 109556423 = 0. Let g = l - 47685838. Suppose g = u + 4*u. What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17 = -5. Let z be y\/(-7)*(-21)\/(-6). Suppose 3*x = -z*x + 20. What is the greatest common divisor of 28 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**7*m*m))\/(m\/(m**6*m)))**(2\/5) assuming m is positive.\nAnswer: m**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 15 = c, 5*c + 2 = -2*b + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.725702 rounded to three dps?\nAnswer: -5.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0234 or -36920?\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*i + 16 = 307*i, 34 = 2*l + 4*i. Let s(f) = -4*f + 12. What is s(l)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1729 + 868 - 943*b - 3437*b**2 + 861 - 35*b wrt b?\nAnswer: -6874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3824.6078 times -0.09?\nAnswer: 344.214702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 375 = -0*y. Suppose 4*u + 237 + y = 0. Let b = -49 - u. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000505 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-8)\/k)*k*k**3*k*(k**(1\/2)\/k)**40 assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(12\/11)\/((k\/(k*k**(-11\/5)))\/k))\/(k**(-8)*k**(-14)) assuming k is positive.\nAnswer: k**(1204\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7) - (1 - (-904)\/(-616))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 67. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 50, 115, 202, 311?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(57)\/sqrt(3)*4)**2 - (2 + sqrt(931) + sqrt(931)).\nAnswer: -14*sqrt(19) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z - 1. Let n(f) = 24*f + 6. Let v(u) = 3*g(u) + n(u). Let y(q) = -q**3 + 3*q**2 + 2*q - 1. Let l be y(3). Suppose -2*i + i = -l. Give v(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2320.21 + 2308. Let n = 12.8 + z. Round n to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-3 + 0 - -3). What is the units digit of -5*((-144)\/20)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0*z**5 + 0*z + 1\/15*z**6 + 0*z**3 - 1\/3*z**4 + 7*z**2 + 0. What is the second derivative of y(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/20*120\/(-25)*(-10)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -11*a + 9*a, -3*q - a = 1. Suppose -2\/3*r**3 + q*r - 8\/3*r**4 + 0 - 2*r**5 + 0*r**2 = 0. What is r?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.18 or -144.743?\nAnswer: -144.743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -0.08, 8, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 910.88 in 2, -3, -0.5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -20 - 10 - (1 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 * 25623\nAnswer: 61495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, 3\/7, 32.12, 0.3, -0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Suppose -w*h = -4*h. Suppose -4*j + 17 = -l, 3*j - l - 13 = -h*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 + 1\/120*t**6 + 0*t**4 + 0*t - 1\/210*t**7 + 1\/1008*t**8 + t**2 - 1\/180*t**5 + 0*t**3. Determine p, given that y(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23108000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59689 is divided by 267?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -2*s**3\/3 - 41. Let i(b) be the second derivative of -b**3\/6 - b. Calculate f(i(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 divided by 18?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let b(x) be the third derivative of 0*x - 9\/20*x**5 + 0*x**4 + 1\/6*x**3 + 8*x**2 + 0. Determine b(w(u)).\nAnswer: -27*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 587501792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66158529?\nAnswer: 3, 59, 373777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 2*u - 6. Let o be m(4). Suppose 5*d + o*v + 3*v - 555 = 0, -3*d - 5*v = -325. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21993.\nAnswer: 3, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from jqdwbbqd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 51. What is the second smallest value in n, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 39 (c) -2\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19670401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -403571135649 - -0.448\nAnswer: -403571135648.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 192. Let p = 2.25 - 2.35. Which is the closest to -4? (a) j (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 479*s - 489*s + 70 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 360.62 and 2.18?\nAnswer: 358.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.0613 (b) 3\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*y**5\/5 - 112*y**4 - 458*y**3 + 310*y**2 + 234*y + 162\/5 = 0. Calculate y.\nAnswer: -9, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 5 - (-195 - -238)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {g: 5, y: 2, v: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2. Let f(a) = 16*a**2 - 4*a**2 - 35*a**2. Calculate t(f(g)).\nAnswer: -1058*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 324 + 124 = 0. Let j = 2014\/9 - t. Which is the second biggest value? (a) j (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -1) + (-42 - (31 + -73)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57071 divided by 217\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/6177 - 1364\/2059. Let m = 126 + -1892\/15. Put f, -0.2, m in decreasing order.\nAnswer: m, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 9. Suppose -c*d - 4 = d - 2*s, 0 = -2*s + 8. Solve -d - 11 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2793 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcibbifcbbcf. Give prob of sequence fici.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**6\/60 - r**5\/15 + 3*r**4\/8 - 4*r**3\/3 + r**2 + 2. Let o(k) be the second derivative of y(k). Is o(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*t**5 + 10 - 30*t - 15\/2*t**4 - 5\/2*t**3 + 55\/2*t**2.\nAnswer: 5*(t - 2)*(t - 1)**3*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 14*l - 36. Calculate the lowest common multiple of x(-17) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**8\/672 + q**7\/210 - q**5\/60 + q**4\/48 + 13*q**2. Suppose f(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okfw when four letters picked without replacement from fbwokmkmkkkm?\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*x + 42. Let h = -12 - x. Let j(o) = o**2 + 10*o - 10. List the prime factors of j(h).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 3*o = 10*b + 1, 3*b - o = -9. Calculate the remainder when b + 3 - 900\/(-9 - -4) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*q = -4, 4*b - 3 = 4*q + 1. Let r = 10 - 7. Suppose 3 = r*i, -a = 2*a + 2*i + 1. Put a, b, -4 in descending order.\nAnswer: b, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -22*j - 22. Let v be l(-5). Let w = v + -116. List the prime factors of 774\/7 + (-12)\/w.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3294073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 29 + 71. Solve -3*n + h = -8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 407*u**2 + 26405*u - 681. Calculate q(-326).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2 - (-99)\/(-48)). Let g(v) = v**3 - v**2 - 4*v - 2. Let w be g(4). Let j = u + w. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2620466 or -2620465?\nAnswer: -2620465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 201, 611, 1399, 2691?\n\"Answer: 21*n**3 + 11*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -7 - 1\/2*z**2 - z - 14\/3*z**3. Determine s(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143701853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c + 990 = 83*c + 34*c. Solve h + c = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10880000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1120 and 29\/1088.\nAnswer: 38080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -14*v - 31 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -1e3?\nAnswer: 1e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -4, 3, 2, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283935311?\nAnswer: 11, 2293, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4869 and -143\/18?\nAnswer: 9738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*c - 24, 56 = o - 40*c - 145 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (123 - 0)*20\/60. Let t = 44 - a. Does 29 divide (-5)\/(172\/(-56) + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + x**4 + x**4)*(4 - 7 - 3)*(-112 + 23 + 39)*(0 + 0 + 2*x).\nAnswer: 2400*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -343 + 353. What is the second derivative of -l - q*l**5 + 2*l - 135 - 4*l**5 + 16 wrt l?\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/7)\/k)\/k)**(-17\/4))**(-12) assuming k is positive.\nAnswer: k**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.2 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:36 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*p, -7*k - 5*p + 18 = -6*k. Sort -8, -1, k in descending order.\nAnswer: k, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + 19. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 6716\/63?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 6*m)*(-4 + 12 + 2)*(-144 + 106 - 71).\nAnswer: -1090*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*13.69.\nAnswer: 57.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 765 = -756. Suppose -5 = j*x - 29. Let z(p) = 2*p - 1. Let n be z(5). Is n greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 68*s + 376 = 0. Calculate the greatest common divisor of 278 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29129 + 42115. What is the remainder when u is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 6*a + 17. Suppose 5*r = -f + 29, 0 = 3*r - 1 - 14. Is v(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 7, 1 in increasing order.\nAnswer: -13, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 1041.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 14*a = -14. Let d be (-75)\/(-25) - (9 - (a - 0)). What is the closest to -2\/5 in d, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1619 - 9011 = 0. Is k a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-8 - (3 + -6)) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/((-1)\/5*1). Solve -19 = -m*f - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncl when three letters picked without replacement from crccppcgnlnp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - (1 + 1 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -1146, -1700, -2278, -2880, -3506, -4156?\nAnswer: -4830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 155, 346, 623, 992, 1459, 2030?\nAnswer: 2711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-30))\/((-36)\/20*8)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*b**4 - 3*b**2 + 1161*b - 178272 with respect to b.\nAnswer: 60*b**3 - 6*b + 1161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37960 = 15*o - 95. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9224 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6549543 and 5613894.\nAnswer: 39297258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4298 divided by -2549?\nAnswer: 4298\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.61 + -1.36. Let d = -0.29 - q. Let m = -0.16 - d. Which is smaller: 2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**3 + 17*c**3 + 11*c**3 + (11*c - 13 + 13)*(c**2 - 7*c + 7*c) in the form t + b*c**3 + y*c + z*c**2 and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.9. Let x = 3.05 - 0.05. Let l = -2.9 + x. Which is the nearest to l? (a) 3 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -2 - 12\/5*t**5 + 3\/2*t**2 + 3\/2*t**4 + 4*t**3 - 3\/2*t**6 + 0*t. What is m in i(m) = 0?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2294098*r**3 + 32*r**2 + 239*r - 78202 wrt r?\nAnswer: -13764588*r + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 716869524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 149?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*h + 236*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 62\/144 + (-43 - 5797\/(-136)) + 1009\/(-18)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from vvuvvuvffvuufuf.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**2 + 6*b - 6*b)*(-9*b**2 + 59 + 11*b**2 - 15) in the form g + d*b**3 + r*b**4 + j*b + z*b**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y - 19. Suppose 5*b + 25 = -40. What is the tens digit of r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -118*u**3 - 2*u**2 + 16*u - 17. Let r be k(-7). Suppose 16*i - r = 4313. Is i 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 21320?\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20\/7)*b*b**(-4\/17)*b*b)\/(b**(11\/2)*b**(-11)) assuming b is positive.\nAnswer: b**(1287\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -30. Calculate the smallest common multiple of i and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011348 rounded to 7 decimal places?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 less than 22?\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1110001101011000011 (base 2) to base 11\nAnswer: -2988a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k, 5*j + 0*k + 2*k - 15 = 0. Let d = j - -2. Let a be 1\/d - (-2)\/(-10). Solve a = -3*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-3*sqrt(170)*-2 - sqrt(170)))\/(-4*sqrt(360)*1))**2.\nAnswer: 425\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1094217 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/42 + (-27)\/2. What is the tens digit of (d - -12)\/(2\/(-70))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(25\/4)\/k))\/(k*k**22))**(-14) assuming k is positive.\nAnswer: k**(763\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -9*t + 4*t + 1, 0 = -5*t + 3*w + 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:27 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4741 and 862.\nAnswer: 9482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015203637 rounded to six dps?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6 + 8*q - 6*q - 5*q - 1. What is the tens digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20630 is divided by 4858.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 2*f. Suppose 2*m = f*m - 508. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94107351 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -3*sqrt(85))*-5*2)\/((-1*sqrt(960))\/sqrt(3)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 17 = -n - 5*q, -4*q - q = 108*n + 545 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 1:47 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b**3 + 56 - 10*b**2 + 0*b**3 - 4*b**2 + 6*b**2 wrt b?\nAnswer: -15*b**2 - 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 3*n - 7, 0 = 4*i - n + 5*n + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -720077 (base 15) to base 7.\nAnswer: -64020652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*d + 156*d + 17*r = -149*d + 7, -4*d = -2*r - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58444003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 4 = -4*o. Suppose 2*c = -o*u + 600, 5*c - 24 = -u + 108. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455 + -545. Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 5 (b) 1\/8 (c) 2\/7 (d) 1.5 (e) 1324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 6*b**3 + 24*b**3.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -135, -257, -427, -645, -911?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:03 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 4. Let h(s) = 2*s**2 - 3*s - 2. Let r be h(3). Let q be y(r). What is the units digit of (-3)\/9*1*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022247 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*h - 22, 0 = 54*h - 50*h + 3*o - 18. Sort -69, 0, -1, h.\nAnswer: -69, -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -235.131\nAnswer: -21.16179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*a**4 + 4*a**4 - 1 + (-a**2 + a**2 + 4*a**3)*(132*a - 48*a + 54*a) to the form h*a**3 + f*a + u*a**2 + c*a**4 + z and give c.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/30 + 3*n**4\/8 - 6*n**2. Let i be y(5). Let f = 159 - i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2645*o**2 + 49*o**2 + 360*o**2 + 620*o**2 as m*o + b*o**2 + v and give b.\nAnswer: 3674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(88)\/(sqrt(88)\/sqrt(8))))\/((2*sqrt(900))\/sqrt(6))*-6.\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 52 = 304. Let o be -41*(-23305)\/35 - (-4)\/c. What is o rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:10 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2060357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22343 - -22347. Which is the third smallest value? (a) s (b) 0.2 (c) -46.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35312230 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 22*g - 1644. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180.68 and -9.\nAnswer: -1626.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 44114439.\nAnswer: -44114439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -12 (b) 487 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2500521 + 156?\nAnswer: -2500332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 596615*o**3 + 277835?\nAnswer: 1789845*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 - 273. Let d be (-16)\/(-28)*j\/(-6). Suppose -3*w = -2*w - 4*l - 16, -5*l = -3*w + 41. Solve -d*c + 2*c - w = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*c + 575*c - 3237 = -146*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s - 20*s + 480 = -15*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 9\/14, -3, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + v + 1 = 0, -10714*u = -10717*u + 2*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 9:42 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 4270510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*d = -3*w - 40, 80 = -5*w - 5*d. Let v = w - -30. Suppose -280*i + 323*i = 183 + 75. What is the least common multiple of i and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-45)*410\/2460.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 - 9*b - 4. Let z be i(0). Sort 5, z, 2, 0 in increasing order.\nAnswer: z, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13.481766us?\nAnswer: 0.000000003744935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = -2*y. What is the tens digit of (-2)\/y - (-590)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 9. Let v be h(0). Suppose -4*z = -v - 3. Solve 2*l + z = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 7*x + 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -70, 203.\nAnswer: -70, 4, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 30767.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 632 - 1263\/2. Solve y*x**3 + x**2 - 3\/2*x + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -25*(5 + -6) + -5. Suppose 4*w = s, -5*w + 30 = 5*c + 5. Are c and 3\/38 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 82, 137, 192, 247, 302?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f\/(f\/(f\/f**(-1\/5))))\/(f**(-2\/7))**5*((f**(2\/5))**(1\/55))**(4\/3) assuming f is positive.\nAnswer: f**(38336\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0*g - 2*g - g + 2*g + 0*g + (-2*g + g + 3*g)*(4 - 2 - 4) + 2 - 5*g - 2.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, u: 6, m: 2}. Give prob of picking 1 p and 3 u.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*u - u + 2 = 0, 0 = 4*i + 2*u + 2. Suppose 3*a = -i*a + 6. Suppose a*c = -2*c + 60. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.068, 4, -49?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 16*w + 15764*w**2 + 5*w - 15770*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*j + 1 - 421 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -28 - 15*u + 10*u + 6*u + 25. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -16. Suppose -2*s + 3*s - 70 = z. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 + 13*y - 45. Let v be c(7). Put 1, v, 20, 2, -1 in decreasing order.\nAnswer: 20, 2, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*w**4 + 115*w**3*y + 277*w*y + 5*w - 2*y wrt w?\nAnswer: -240*w**2 + 690*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 2}. What is prob of sequence vvz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135 - -63. Let b = w - -77. Suppose -4*n - 62 = -b*h + 462, -h = n - 103. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1786, 6983, 15600, 27637, 43094, 61971?\n\"Answer: 1710*j**2 + 67*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00232392 rounded to five decimal places?\nAnswer: 0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3015, -2948, -2881, -2814, -2747, -2680?\n\"Answer: 67*s - 3082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*v - 18, 152*v - 154*v - 3*u + 28 = 0. What is w in -15\/2*w**3 + 0 - 6*w + 3\/2*w**4 + 12*w**v = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 5*l**2 - 3*l**3 - 1 - 9*l**2 + 4*l**4 to the form a*l**4 + j*l**2 + v*l**3 + c + q*l and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218546 divided by -1335.\nAnswer: 218546\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 3 = 0. Suppose i*c - 14 = -4*n, -5*c - 2*n + 28 = -0*n. Let s be ((-8)\/20)\/(6\/(-15))*6. What is the greatest common divisor of s and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 1. Let m(l) = 10*l**2 - 4*l + 11. Determine m(c) - 6*z(c).\nAnswer: -2*c**2 - 4*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.14 (b) -4 (c) -0.1 (d) 6.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8605\/(-15) + 2\/(-6). Let y = 790 + z. Calculate the greatest common factor of 135 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**5 + 6*d**4 - 4*d**2. Let z(p) = p**5 - p**4 + p**2. Let s = -3 + 4. Let r(y) = s*v(y) + 6*z(y). What is the third derivative of r(h) wrt h?\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 10:07 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**29)**(-29)*o**(-6)\/(o**(-1\/27)*o*o*o) assuming o is positive.\nAnswer: o**(-23732\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/540 and -34\/1333167.\nAnswer: 239970060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3683759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:21 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, 3, -0.49, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**3*v - 3*k**3 + 4*k**2*v**3 + 936*v**3 wrt k.\nAnswer: 15*k**2*v - 9*k**2 + 8*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 1442 = 5*f. Let l = f - -213. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:41 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + 2. Let l be p(-8). Put l, 0.4, -1, 5 in descending order.\nAnswer: 5, l, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/3)\/k))**(1\/29)\/(k**0)**(-2\/21))**44 assuming k is positive.\nAnswer: k**(352\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -1783, -2670?\nAnswer: -3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -4*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001887616 rounded to five dps?\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15233796?\nAnswer: 2, 3, 41, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0947 + -7.6047. Let s = m - -46.21. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-4))\/(1 + 0). Let y = 5.1 - 5. Let x = -0.3 + 0.5. What is the nearest to u in -3, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {x: 8, h: 3, m: 5, o: 3}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -209\/5 - -42. Let i be (-2 + (-2 - -4))\/1. Let g = i + 1. What is the nearest to g in d, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3469\/5, 150\/11, 0.5, -20 in decreasing order.\nAnswer: 3469\/5, 150\/11, 0.5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:39 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36065 - -11?\nAnswer: -36054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3725a (base 11) to base 6\nAnswer: -1051523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1700 and 333?\nAnswer: 566100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9727624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 - 2*o - 4. Suppose -2*z = m - 13, -4*m - 14 = 2*z - 5*z. Suppose 95 = 11*i - z*i. What is the remainder when d(5) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -21*i**2 - 3 - 326532*i + 326529*i - 64*i**2. Let g(f) = -57*f**2 - 2*f - 2. What is 7*g(m) - 5*j(m)?\nAnswer: 26*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 115*j + 153. What is the tens digit of y(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.4. Let p = 292 - 3503\/12. What is the nearest to -0.3 in p, 2\/3, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6272*b + 75253. Determine n(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3890 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -53*f + 175 + 129. Solve 3*j + 18*b + 6 = 21*b, -2*j + 4*b - f = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 195 - 196 - (3 - (-3 + (-4730)\/(-673))). Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 675 - 1?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 0*w + w + 34 - 13.\nAnswer: w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260)*-4 + sqrt(60))\/(sqrt(1200)*1).\nAnswer: -43*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(165)\/(sqrt(20)\/sqrt(4)))\/((sqrt(27) - sqrt(3))*2).\nAnswer: -7 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -919e5 (base 15) to base 6.\nAnswer: -13515212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2*(-55)\/11. Let n = 11 + b. What is the highest common divisor of n and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n**3 + n**2 - 81. Let g(i) = -14*i**3 - 2*i**2 + 81. Let f(l) = 4*a(l) + 5*g(l). Differentiate f(j) wrt j.\nAnswer: -42*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 - 3*m**2 + 3*m - 3. Let n = 11 + -6. Suppose l = -4*j + n, j - 3 = -1. What is the remainder when u(l) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 13*o + 16. Let h be g(8). Let d = 101 + h. Let m = d - -72. Calculate the remainder when 61 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/224*4)\/((-4)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o)*(0*o**4 - o**4 - 4*o**4) + (0*o**2 + 2*o**2 - 5*o**2)*(o**2 - o**2 + 5*o**3).\nAnswer: -25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2. Let b(j) = 68 - 68 - 5*j. What is c(b(g))?\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1241 + 1245. What is the closest to 0.3 in 0.4, -0.4, -0.3, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -180, -337, -492, -645?\n\"Answer: w**2 - 160*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 + 0 - 1\/(-1). Suppose 5*w - 189 = k*w. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 218268.2 kilometers in micrometers?\nAnswer: 218268200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from ddppppp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - 2*z + 2. Let h be m(2). Let c(j) = 2 + 3*j**2 - 3*j**2 + j**2 + j - 2*j. Let k be c(0). Solve k*v = -h*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108050979.\nAnswer: 3, 47, 691, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 423248275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 5656 = -35*a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.706 - 1468\nAnswer: -1468.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201783.2ug in kilograms?\nAnswer: 0.0002017832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 + 3872*l**4 + 1874048*l**3.\nAnswer: 2*l**3*(l + 968)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*g**3*o - 326*g**3*v*z**2 - 8*g**2*o*v*z**2 + g**2*o*v - g**2*z**2 + 892*g*o*v*z**2 - 2*o*v*z**2 + o*z**2 - z**2 wrt g?\nAnswer: 720*o - 1956*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -7*k**6\/120 + 4*k**3\/3 - 9*k**2\/2 + 8. Let c(i) be the second derivative of g(i). Find the first derivative of c(h) wrt h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1462, -1406, -1312, -1180, -1010, -802?\n\"Answer: 19*o**2 - o - 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.4469ns to seconds.\nAnswer: 0.0000008454469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24554 divided by -3?\nAnswer: 24554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -423, -440?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 56*k**2 - 3*k - 11. Let b(m) = 19*m**2 - m - 4. Let t be 2\/1 + -6 + -7. Suppose -3*w + 7 = -5. Let u(f) = t*b(f) + w*d(f). Calculate u(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/2, 4, 2\/3381, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a century in months?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29158, 5, 2, -9 in descending order.\nAnswer: 29158, 5, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11220 (base 4) to base 16.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/152 and -13\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/3 + 84*t**2 - 2134*t\/3 + 1092 = 0?\nAnswer: 2, 7, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1218 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 96 = -7*n. Calculate the least common multiple of 14 and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (368\/(-1840))\/(48\/45)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 11, y: 2, z: 3, t: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188496 and 2805.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513994041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.9 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 2*o**2 - 2515*o + 10083. Calculate v(4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m, -3*r - 5*m = -3*m - 435. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 21, 16, 11, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -205 = 732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 - 7580192*b\/3 - 3591206922304\/3.\nAnswer: -4*(b + 947524)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 18. Suppose -m - 2 = -o. Suppose 0 = 2*r + 5*p - 31 - 222, -159 = -r + m*p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -62*r + 59*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Find the third derivative of -4*w**3 + 3*w**b + 7*w**3 + 3*w**2 - 3*w**3 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*n = 269*n - 352 + 877 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -16. Suppose -2*v = -5*f - 21, -3*v + 2*v - 2*f = h. Let d be (v\/5)\/((-1)\/45). Calculate the greatest common factor of 12 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -16 + 3*t**2 - 15*t**2 - 17*t - 6 - t**3 + 6*t. List the prime factors of k(-12).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 5*q**4\/24 - 7*q**2. Let k(c) = -c. What is d(k(a))?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*r - 18, -3*r - r - w + 21 = 0. Solve 0 = -0*x + 3*x + r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + ((-2)\/8)\/(36\/432). Solve a*k - 2*y - 7 = -y, 0 = -2*k - 4*y + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let h(w) = -5*w + 2 - 292*w - 1 + 0 - 97*w. What is h(s(v))?\nAnswer: 1182*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/67020 + 89363\/201060. Let k be ((-2)\/(-6))\/(1\/3). Which is the closest to -0.1? (a) -3 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*i - 161 - 691, 0 = 2*i + 2*g - 328. Suppose 4*k - i = 696. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39312 and 28784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = -m + 10, m = k + 8. Solve 2*v = -0*v - 5*y + 20, m*v + 4*y - 23 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.1 (c) 1\/441 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 27*u + 57. Let r be j(-7). Let x be -1 - (-3)\/(4\/(r\/(-9))). Solve x*z = 7*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**5 + 0*h**3 + 4*h**5 - h**2 + 4*h**3 - 3*h**3 + h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z - 3. Let c(l) = -15*l - 86. Let i be c(-6). Determine p(i).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152238088.\nAnswer: 2, 163, 116747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 6483506*y**2 + 10508949545985*y - 42035901920100.\nAnswer: (y - 4)*(y + 3241755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 - 3. Suppose 0*j = -3*j - 30. Let a = j + 10. Put q, 1, a in decreasing order.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvg when three letters picked without replacement from qpvqvgggvvqvvgpvpqvp.\nAnswer: 16\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((15 - -48) + -12)\/(-1))\/(3\/(-217)). Calculate the highest common divisor of 651 and h.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (642\/66 + -10)\/(4\/(-22))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 374.77269.\nAnswer: 74.954538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -3. Suppose -2*i + 292 = 4*q, 4*i - 2 = -c. Round q to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6328779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 96 = 4*r, r - 6*a + 2*a = 38. Let l(x) = -x**2 - 9 + 4*x - r*x + 13*x. Let n(h) = -h - 6. Let u be n(0). What is l(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3 - 2*k)*(1 - 4 + 6) - 3*k + 17*k + 4*k + (3 - 3 + k)*(-1 + 4 - 2) - 8*k + 8 - 8.\nAnswer: 5*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 64)*1122\/(30\/(-5)). Suppose 28*f - 11*f = k. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 1. Let q be d(-1). Let b(t) = 2*t**2 - 6*t - 4. Let u be b(5). Suppose 7*n = 3*n - u. Put 4, q, n in decreasing order.\nAnswer: 4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/2 (b) -4\/3 (c) 0.1501 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -454 (c) -3 (d) 0.8 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15245 times -0.04?\nAnswer: 0.006098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z + 4*y + 56 = 0, -44 = 3*z - 4*y. Calculate the common denominator of 69\/50 and (265\/75)\/(z\/(-6)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/(-32))\/17*3*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 92. Suppose y*q - 112 = 4*q. What is the remainder when q is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3617 + 3637. Solve -4*o = 6*d - d - 10, -4*o = -k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(51)*-1)\/sqrt(3) + ((1*sqrt(153) - sqrt(153))*-5)\/sqrt(9))*-1.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.045 in 4\/7, -1\/4, 138, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14958924, 14958930, 14958946, 14958978, 14959032, 14959114, 14959230?\n\"Answer: g**3 - g**2 + 2*g + 14958922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j - 278. Let f be l(-14). Solve -z - f*c - 4 = z, -2*c = -5*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -40266?\nAnswer: -40261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 118 (b) -2\/11 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v + 38 - 38 + (6*v - 3*v - 4*v)*(-1 - 5 + 4).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 - 56 + 2*x**2 - 142 + 227 as z + s*x**2 + w*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1667 and -44.\nAnswer: -73348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**2 + 2209*b - 58706. Give o(28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2. Let p(i) = 337*i**2 + 329*i**2 - 635*i**2. Calculate p(c(x)).\nAnswer: 496*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 30*l**2 - 3*l + 20*l + 4 - 3*l + 6*l**2.\nAnswer: 39*l**2 + 14*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -913918, -1827859, -2741822, -3655807, -4569814, -5483843, -6397894?\nAnswer: -7311967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8567, 2\/3, 2, 1\/8, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 10)*(-24)\/72. Is 6 a factor of (l\/(-9))\/((-5)\/540)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22110*g + 42157*g - 13840*g + 65 - 65.\nAnswer: 50427*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 4 + sqrt(847) + 3 + sqrt(847) + 5 + 4*(sqrt(847) + -2)*-1))**2.\nAnswer: -660*sqrt(7) + 3613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20785596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 57*z + 528. Let d be a(11). Solve -3*s = 279 - d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1517, 3040, 4563, 6086, 7609?\n\"Answer: 1523*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1017549, -2034863, -3052177, -4069491?\n\"Answer: -1017314*t - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440 = 434*y - 386*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7667162 litres?\nAnswer: 766.7162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31103 is divided by 6573?\nAnswer: 4811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**5 + 175*g**4 + 1395*g**3 + 3665*g**2 + 760*g - 6000 = 0?\nAnswer: -25, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -129.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + 5\/(-3). Let x(w) = w**2 + 2*w - 2. Let h be x(d). Let n(q) = -3 - 5 + 6 + 6*q**2 - 7*q**2. Determine n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18475614*d**2*v**3 - 73*d**2*v**2 - 340*d**2*v - 36 wrt v.\nAnswer: -110853684*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 6 - 30. Let i(b) be the first derivative of 11*b**3\/3 + 3*b**2 + 8*b + 2. Is i(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 55015*b. Let d(y) = y**2. What is x(d(j))?\nAnswer: 55015*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - 33*n**2 + 2*n**3 + 3 + 10*n**2 - 4 - 6*n to g + l*n**2 + a*n + v*n**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n = 5*h + 4829, 5*n - 4*h = 24166. Suppose 5*u = 9051 + n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i = -12*i - 19844. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p - 63. Let l be r(14). Solve 2*n - 6 = 0, 0*o - 5*n + l = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 87*t - 89*t = 1, -3*o - 3*t = 18. Which is smaller: o or -11\/1220?\nAnswer: -11\/1220","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 1, 5\/6, -1\/2, 3\/5, 2.\nAnswer: -190, -1\/2, 3\/5, 5\/6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -5, 12, 120 in descending order.\nAnswer: 120, 16, 12, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -928 + 28503.66.\nAnswer: 27575.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, 20 in descending order.\nAnswer: 20, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88501, 353804, 795923, 1414852, 2210585, 3183116?\nAnswer: 4332439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1886 + 2051. Calculate the remainder when p is divided by 70.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349.961 decades to millennia.\nAnswer: 3.49961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3944, 3951, 3958, 3965, 3972, 3979?\nAnswer: 3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.85 - 0.15. Let p = 7.5 + q. Which is the biggest value? (a) p (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64767149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 2*g + 2*g - 5*g - 3*g. Let i(f) be the second derivative of -f + 0*f**3 - 5\/6*f**4 + 0 + 0*f**2. What is i(u(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0*a**3 + 0 - a + 0*a**4 + 9\/20*a**5 + 4*a**2. Find the first derivative of t(p) wrt p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let y be (-9)\/(-6) - ((-33)\/(-6))\/(-1). Suppose 0*x = y*x - 63. Let z(l) = -x*l + 1724 - 1724. Determine z(c(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21686 and 107794910.\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - 9*c**2 + 5. Let z(m) = -3*m**3 + 4*m**2 - 2. Let o = 823 + -821. What is o*v(w) + 5*z(w)?\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*i = -283, 3*s - 118 = 3*i + 338. What are the prime factors of s?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*w - 20. What is the nearest to -0.3 in 1, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6013.\nAnswer: 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -3*j**8\/56 + j**4\/4 + 2*j + 3. Let z(q) be the first derivative of t(q). What is the third derivative of z(c) wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 + -1 + 5 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*t = -10, 0*q + 3*q - 14 = 4*t. Let i(n) = 0*n - 2 - 6*n - 6 + q*n**2. Let z be i(8). Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10898)\/(-8) - 1\/16*4. Suppose -5*x = -3*v - 6808, x + 0*x - l = v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*m + 11, -5*y = -m - 0*y + 11. Does 9 divide 9*m*(20 + -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 2*u**2 - 6*u + 20. Give s(4).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18494*a**2 - 18494*a**2 - 266*a**3)*(-3*a + 0*a + 5*a + (0 + a + 0)*(1 - 5 + 3) - 7*a + 2*a + 3*a).\nAnswer: 266*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 8348841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18*q - 740012 = 0. Suppose -4*x + q = 3520. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1103?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4202, 4053, 3904?\nAnswer: 3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 166*o**2 + 4*o - 46. Let g be a(4). Round g to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + b + 12. Let f be ((-3)\/((-15)\/1))\/((-9)\/(-45)). Let s(t) = -t**2 - 1. Give f*g(d) + 4*s(d).\nAnswer: -2*d**2 + d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -812094849554?\nAnswer: 812094849553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 39 = -29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.6324 times -0.04?\nAnswer: -4.545296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 52249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7257, -31.\nAnswer: -7257, -31, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487, -1048, -1607, -2164, -2719?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -j - 4*x, -59 = 5*j - 6*x + 3*x. Are j and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/60 - j**4\/8 - j**3\/2 + j**2. Determine z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, 212, 359, 534, 737?\n\"Answer: 14*y**2 + 77*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {u: 1, w: 3, q: 3, e: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 14. Let h(p) = p**2 + 2*p - 7. Let u be h(3). Let r be m(u). Is ((-15)\/(-6))\/(r\/1532) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 89?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8453089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + t = 5046, -5*t - 2040 = -2*a. What is a rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 82, 2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14961.4 plus -8286382?\nAnswer: -8271420.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 9*h**8\/112 + h**5\/15 + 24*h**2. What is the third derivative of i(w) wrt w?\nAnswer: 1620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770*i + 38025 = -757*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by (-5)\/90 + 9\/162 + 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6) + -1)*4\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = 4*u, 5*u + r - 7 - 2 = 0. Let b be (15\/(-45))\/(u\/(-18)). What is the second derivative of 21*y + 0*y**3 + b*y**3 - 24*y - 37*y wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 76 = 9*l. Let o be -4*6\/(-4) + -1. Suppose 2*w - 24 = -4*f, 2*f = -o*w - 3*f + 40. What is the remainder when l is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2*p**2 + 88*j**2 - 84*j*p**2 + j - 2*p - 3 wrt p.\nAnswer: -10*j**2*p - 168*j*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9984 and 8944032?\nAnswer: 930179328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 14*u + 7. What is q(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*o**3 + 2 - 3 - 4*o**2)*(-2 + 1 + 2) in the form b*o**3 + y + p*o + s*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10005 - -24812. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 45 = -0*c - 2*u, 0 = 5*u - 25. Suppose c*i + 9*i = 128. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (2 - ((13 - 12) + -8 + 8)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1031.6501 to the nearest 10.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 318*c + 11. What is i(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 - -140. Let h(w) = -6*w**2 - 6*w. Suppose -12*c + 30 = -7*c. Let f(z) = z**3 - 5*z**2 - 5*z. Give c*f(d) + l*h(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.5819102\nAnswer: 0.05819102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*v - 44, 0 = -3*y + 2*v + v + 6. Solve 6*g = 2*g - 5*d + y, 5*g = d + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -35*q**3 - 21*q**2 - 27*q. Let l(c) = 7*c**3 + 4*c**2 + 5*c. Determine -2*h(u) - 11*l(u).\nAnswer: -7*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.1. Let u be ((-12)\/(-68))\/((-82)\/(-697)) + 1\/(-10). Sort 4, q, u, -1\/6 in descending order.\nAnswer: 4, u, q, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58069 - 566*p**2 + 58070 - 114*p**2.\nAnswer: -680*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 9. Let h be 2\/7 - (-2)\/(-7). Suppose 2*s - 40 = -8*s. Sort q, h, s in increasing order.\nAnswer: h, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:39 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3\/4 + 33645*p**2 + 5526395*p\/4 - 2830485\/2 = 0. Calculate p.\nAnswer: -42, 1, 26957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 + 12*i + 18. Give y(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g*g*g**5*g*g*g*g)\/g*g\/((g\/g**(-2)*g)\/g)*(g**1)**(2\/121) assuming g is positive.\nAnswer: g**(1091\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17801 (base 13) to base 9.\nAnswer: 68115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*r**4 - 2*r**2 + 249 wrt r.\nAnswer: 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3945711 and -125\/115501722?\nAnswer: 1270518942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -u, -4*u = 67*o - 61*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)*(k**32\/k)\/k)\/(k**(1\/6)\/(k*k**(2\/7))) assuming k is positive.\nAnswer: k**(509\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216.5 - 5.5. Let q = -221 - h. Let b = 0.042 - 20.042. Is q > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 13*x - 10. What is z(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.046 + -2.046. Which is the closest to 1? (a) 3 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 671 and 45.6581.\nAnswer: 716.6581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 5:04 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/60*16\/6*(-52)\/(-96)*-6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716007427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (33 - (72 + (52 - -29)))\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 22 + 38. Suppose n + 5*b + y = 45, 2*n + 4*b - 30 = 0. Suppose 5*v - 45 = -5*m, n*m - 21 = 4. Solve 5 = -4*z + 4*t - 3, 3*t = 4*z + v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7720 = 34*a - 24*a. Let k = 1312 - a. 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 comes next: -52, -453, -1548, -3685, -7212?\nAnswer: -12477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + 71. Suppose c - 101 = 4*r. Let k be 2\/10*-4*-5. Solve k*y - a = 23, -3*y - 2*y + a + r = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/(-48)*4). Let p be 0 + (2*-3502 - t). What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*m**3 + 2*m**3 + 7*m - 8*m - 2*m**4 + 319*m**2 - 6*m**3 in the form b + z*m**2 + w*m**3 + i*m**4 + y*m and give z.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**4 + 4870 + 3*t**3 - 4644 + 0*t**4 with respect to t.\nAnswer: -16*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 1 (b) 1\/6 (c) -0.5 (d) 14.6 (e) -1 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 63817668 in descending order.\nAnswer: 63817668, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 42, 43, 42, 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2314.95276 + -2315. What is q rounded to three dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, -19, 2 in increasing order.\nAnswer: -19, -5, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*-6 - sqrt(99))\/(-2*sqrt(900)).\nAnswer: 13*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -115*a - 1017. Give j(-16).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**5\/30 + 5*z**4\/24 + z**3\/6 - 13*z**2\/12 - 5*z\/3 + 389. Factor g(m).\nAnswer: -(m - 5)*(m - 2)*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c + 3. Let b be (6\/4)\/(9\/42). Suppose 2*r + 3 = -b. Let o(g) = 9*g + 2. Calculate r*l(n) + 8*o(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1014\/7 in -0.4, 0.1, 891?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -11 + 4 + 30\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16836877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g**3 + 2*g**2. Let b(y) = -y**3. Let o = -569 + 573. Determine o*b(q) - l(q).\nAnswer: 11*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 9) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10357 is divided by 163.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12784871, 12784866, 12784861?\n\"Answer: -5*s + 12784876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 25*i = 576. What is the highest common divisor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 324*c - 1. Let p(x) = 1027*x - 3. Determine 16*i(w) - 5*p(w).\nAnswer: 49*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 1000*p + 6838. What is r(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = w - 18, -5*y - 3515475 + 3515543 = -24*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 73*x - 72. Calculate h(76).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 - 159. Let a = 67.9727 + -0.0727. Let f = 68 - a. What is the nearest to f in -0.2, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 2, v: 1, t: 1, w: 1, j: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r**(8\/9)\/r*r)))\/r)\/r*r*r*r**(-38))\/((r*r**(-3\/34)*r*r)\/(r**(-6\/19)\/r)) assuming r is positive.\nAnswer: r**(-246157\/5814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175181?\nAnswer: 31, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 948 - 484. Let h = -281 + t. Suppose 2*d = -h + 701. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 6*q + 7*q - 15*q in the form v*q + g and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - w**3 + (0*w**2 - 4*w**2 + 2*w**2)*(-2*w + 0*w - w))*(57 - 51 - w + 3*w) in the form y*w + z*w**4 + r + f*w**2 + a*w**3 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -81. Let y(n) = 124 + 3*n**d - 124 - 22*n**2. Let o(j) = 7*j**3 - 44*j**2. Let c(u) = 2*o(u) - 5*y(u). What is the third derivative of c(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0 - 3. Suppose -c = -13 - d. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15505866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-330) - (-118)\/(-210)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -122, 1, 17, 9, -9 in ascending order.\nAnswer: -122, -9, -3, 1, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u**2 + 26*u + 43. Give n(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j - 5. Let s(u) = -3*u**2 - 3*u + 16. Let d(v) = 7*h(v) + 2*s(v). Calculate d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 8*k, d + 2*k + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 3}. What is prob of sequence sd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2213032 (base 4) to base 12\nAnswer: 623a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/8 - 14\/56 - -77. Let d = n - 52. Differentiate -14*u**2 - d + 34*u**2 + 4 with respect to u.\nAnswer: 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h, l + 4*h - 6 = -h. Put l, 2, -2, -14 in ascending order.\nAnswer: -14, -2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 + 307*n**3 + 481*n**2 wrt n.\nAnswer: 60*n**2 + 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2840826369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/25)\/((-91)\/(-7) + (-72)\/5)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(204) + sqrt(204)*-3 + sqrt(204))*1 - sqrt(204)*2*1)\/((sqrt(120) - sqrt(120)*2)\/sqrt(10) + ((1*sqrt(84))\/sqrt(7) - sqrt(12))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + -2 - (sqrt(17) + (sqrt(1377)*2 - sqrt(1377))))**2.\nAnswer: 36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*-15*12\/(-75)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) + 20\/(-42). Let z = 1.28 + -1.18. What is the nearest to 1\/2 in -2, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/588 and 61\/2076326.\nAnswer: 12457956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8638.908t to nanograms.\nAnswer: 8638908000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -2 - 0 - (0 - 23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnnnni. Give prob of picking 1 n and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 352.4.\nAnswer: -140.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82768, 165512, 248256, 330994, 413720, 496428, 579112?\n\"Answer: -v**3 + 6*v**2 + 82733*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2123242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355 and 30787375?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*v**2 + 234*k*x**3 - 3*k*x**2 + 6*v**2*x**3 - v**2*x + 143*x**2 wrt x?\nAnswer: 1404*k + 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d**2 - 3*d. Let t(x) = 62933*x. What is p(t(h))?\nAnswer: 55447874846*h**2 - 188799*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-2 + (-21)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2475 - -2482. Let o = -9 - -11. Calculate the remainder when 11\/o*(-4)\/(-1) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6.02 (b) 0 (c) 3 (d) -49078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:54 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/(q\/(q**(-18)\/q)))\/q*q*q**(-2\/7)*q*q assuming q is positive.\nAnswer: q**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21.554454 microseconds?\nAnswer: 0.0000003592409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-44)\/12 + 4). Solve -2*m - 20 = 2*z, -5 = s*m - z - z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 2, m: 1, n: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 126. Calculate x(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4823*u*v**2*z + 3*u*z - 2159*v**2*z - 821144*z wrt v?\nAnswer: -9646*u*v*z - 4318*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87900?\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - j**2 + 4*j**2 - 1 + j. Let f(i) = 8*i**2 + 4*i - 4. What is -f(s) + 6*y(s)?\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -61.01. Let a = 61.308 - v. What is a rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5310, -10637, -15960, -21279, -26594, -31905?\nAnswer: -37212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 3. List the prime factors of 719\/k + 105\/25 + -4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and -69\/746.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.033 - 0.067. Suppose 30 = 2*f - 26. Let r be 21\/f*(-2)\/(-9). What is the second biggest value in r, -1\/6, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8211719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22*0.3\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 4*i**2 + 3*i - 5. Suppose 0 = -0*g + g - 4. Is w(g) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -874 - -130. Is 28 a factor of (l\/4)\/(-1) - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 355 = -5*c + 320, 0 = c - 3*w + 7 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j = 4*d + 312, 156*d - 75*d = 82*d + 3*j + 33 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + w**4 - w**4 + (0*w - w + 0*w)*(w**2 - w**2 - 2*w**3) - 2 + 2 + w**4 - 8*w**4 + w**4 - 3*w**4.\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((2*3)\/((-2253735)\/6908))\/((120\/25)\/(-6))\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23877984 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 92, 133, 172, 209, 244, 277?\n\"Answer: -g**2 + 46*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {b: 4, j: 2, g: 1, o: 2, d: 1, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 8}. Give prob of sequence ooo.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:50 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -a3aa (base 12) to base 13\nAnswer: -8176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 983 = -2*n, -414 = -4*r - 2*n + 372. Suppose -17*o + 25 = -12*o. Suppose -o*a = -r - 23. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -17*u - 24. What are the prime factors of i(-5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -13 + (-10 - -10) + 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2478 - 2471. Solve 7 - w = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 + 129. Let m = -68 - u. Suppose v + v = m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (-372)\/52 - (-1505682)\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 2*a - 1. Let u(w) = 2*w**2 + 3*w - 2. Calculate -4*g(v) + 3*u(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 12*m**3 + 45*m**2 + 50*m.\nAnswer: m*(m + 2)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3\/2 (b) 1 (c) 5 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93479, 186971, 280465, 373961, 467459, 560959?\n\"Answer: p**2 + 93489*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhyth. Give prob of sequence hyx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 344358 divided by -24597\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1028 = 3*z + 4*m, -4*m = 5*z - 1284. Does 38 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2*((-572)\/(-56) + -10). Let j be 4\/6*2\/4*-5. What is the closest to -3 in j, p, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = 0. Let d = c + -1. Find the common denominator of d and 89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 1:35 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98159300 rounded to the nearest ten thousand?\nAnswer: -98160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let d be 10 - 2\/(2\/m). Suppose 2*z - 12 = d. Calculate the highest common divisor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v**3 + 0*v + 0*v**5 + 1\/112*v**8 + 0 + 7\/40*v**6 - 4\/35*v**7 + 0*v**4 - 337*v**2. Determine s, given that b(s) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -457 - 438 - l + 880. Let m be n(-15). Let b(z) = z**2 - z - 3. Determine b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21317\/51 - 418. Let b = 137\/1785 + n. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -2263?\nAnswer: 84\/2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 1850, -3, -4, 26.\nAnswer: -11, -4, -3, 3, 26, 1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 10) to base 2.\nAnswer: 1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2466, 2494, 2522?\n\"Answer: 28*v + 2438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/(-1404) - (-3)\/36*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1085 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - 42\/12*25\/(-35). Suppose 3*o - 2*p - 3*p = -3, 4*p - 8 = o. Let g = 3 - o. What is the nearest to g in -2.2, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1718*s = -1673*s - 405. Solve -14*d + s*d = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450 + -445. Suppose 25 = -f*j + 80. What is the least common multiple of 9 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -744*c**3*l**3 + 19*c**2*l**3 - 80652*l**3 wrt c.\nAnswer: -2232*c**2*l**3 + 38*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 25, -4\/9, -4975, -21?\nAnswer: -4975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252291?\nAnswer: 3, 13, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -742701 + 4?\nAnswer: -742675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -678) + (6 - 3). What is x rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3*z + 28 = 0. Let s = 1 - 3. Put s, 8, z in decreasing order.\nAnswer: 8, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 830503926 divided by 19773903\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886820055 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*p + 14244 = 93*p. Let d = -71123\/30 + p. What is the common denominator of d and 4\/57?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)**(3\/19))**(-8\/3)\/(z**(-8)*z**(-9\/2))**(-4\/25) assuming z is positive.\nAnswer: z**(-22\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-100)*-10 - 279\/(-465)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 14*b = 0. Does 1\/378 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10938 and 241842826?\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*q = 25, -q + 3 = -a + 8. Suppose -4*t + 279 = a*c, -t = -4*t + 3. Let b = -31 + c. Which is greater: 23 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(648) + sqrt(18)\/(sqrt(2646)\/sqrt(6)).\nAnswer: 379*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 1232 - 1025 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 16*r**3\/5 - 48*r**2\/5 - 576*r\/5 - 864\/5.\nAnswer: 2*(r - 6)*(r + 2)*(r + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-4))\/2)\/(2\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.0446\nAnswer: -0.1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 3770.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 7*b - 5. Let s be i(-6). Let d be (0 - s)\/(4\/(-8)). Suppose -5*p + 0*p = -3*r + 67, 0 = 4*r + d*p - 46. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11340 (base 5) to base 2\nAnswer: -1101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330138235 to the power of 1\/2, to the nearest integer?\nAnswer: 18170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -2 - (-138 + 147)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -8 (c) -0.32 (d) 0.5 (e) -56 (f) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78735*c**2*o*w**2 - 26334465*c**2*o*w - 14*o*w**2 + 20*w**2 wrt w.\nAnswer: -157470*c**2*o - 28*o + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 80 + 87 - 46*o + 62*o.\nAnswer: 16*o + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 4, -4, -3 in decreasing order.\nAnswer: 28, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31674722, -31674728, -31674738, -31674752?\n\"Answer: -2*d**2 - 31674720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**2\/y)\/y))\/y**(1\/10))**(-8\/9) assuming y is positive.\nAnswer: y**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000025822 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (233\/5)\/((-504)\/15). Let f = d - -3\/56. Let n = 0.2 + -0.3. What is the closest to n in f, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*19\/(-684)*-1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -621 + 792. Let j be -38*(-1)\/2*1. Calculate the highest common factor of j and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 17 = l, -f = 4*l - 3*f - 56. Solve -51*i + l = -53*i - j, -i = -4*j - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187971 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 - 1\/16*u**4 + 3\/4*u**2 - 1\/8*u**3 + 6*u. Factor r(g).\nAnswer: -3*(g - 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 1, m: 2, u: 4}. Give prob of sequence ddu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15)*t\/(t*t**0) assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -47\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*57\/76.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:27 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 2*z**2 - z + 6. Let c be d(0). Let f(y) = y**2 - 3*y - 18. Let l be f(c). Suppose 5*u = -l*u + 1655. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 3?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -0.3, 6.59, -4, -2, -0.4, 88?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.46, 1, 0.1, 1\/3, 0.03?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11\/4)\/11)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 0, -5\/6, -8 in ascending order.\nAnswer: -8, -1, -5\/6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 6*w**3 + 2*w**3 - 6*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 r when four letters picked without replacement from {t: 10, r: 4, z: 2, x: 4}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68260583.\nAnswer: 68260583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 1:43 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 6*c**2 - 3*c + 1. Calculate i(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (22 - 15) - ((-5 - (-6 + 6)) + -22)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*d**3 + 3\/4*d**2 - 3\/4*d + 0 - 3\/4*d**4.\nAnswer: -3*d*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 2*b + 370 - 7*b - 4*b - 370. Let w(d) = -52*d + 2. Calculate w(n(j)).\nAnswer: 104*j**2 + 676*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 - w + 3. Let q = -17 + 11. Let k(h) = h + 10. Let n be k(q). Let o be y(n). Which is the closest to o? (a) 1 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-22 - -2) - 8) + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 8*h = -2181. Let f = h - 58. Suppose -2*x - x = -f. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 255618528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 - 3 = -3*t, 5*t + f - 39 = 0. Solve t - 5 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -14 + 15 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3595 plus 0.5?\nAnswer: -3594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354*w - 4*w**3 - 8*w**2 + 2 + 6*w**2 + 350*w to the form t*w + d*w**3 + b*w**2 + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.44 - -87.04. Suppose 0*c - 2 = 2*c. What is the nearest to -1\/3 in c, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(135)\/sqrt(12))\/(sqrt(1089) + sqrt(1089) + sqrt(1089) + 3*sqrt(1089)*3).\nAnswer: 5*sqrt(5)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(1*sqrt(11)*6).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14648\/(-20) + -4)*(5 + 0). Let z = p + 5597. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = -40. Let m = 97 + -103. Let q(j) = 2*j + 22. Calculate the smallest common multiple of q(m) and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34794, -139230, -313286, -556962, -870258?\nAnswer: -1253174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84260, -337002, -758238, -1347968, -2106192?\n\"Answer: -84247*i**2 - i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 + 0*v**2 - 1 + 2*v**2 + v + 1 in the form t*v**4 + n*v + p*v**2 + g*v**3 + w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.268 + 12.732. Let p = -13.06 + 0.56. Let f = p + j. Is -5 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 417 (b) 0.4 (c) -0.7 (d) -0.13 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 3*s - g, 4*g = -5*s - 21. Let l be (-9 - 0\/(-2))\/s. Let w = l - 13. Sort w, 1, 0 in descending order.\nAnswer: 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtqgqtqgtggq. What is prob of sequence tqq?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1682, 6801, 15326, 27251, 42570?\n\"Answer: -y**3 + 1709*y**2 - y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (1388 - 1413 - (-6 + 1)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Which is the second biggest value? (a) 2\/7 (b) 5 (c) -5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2828193 + -1923867. Suppose 540474 = 8*n - c. What is n rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1900?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4432 + -172?\nAnswer: -4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 32. Determine h(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*t**4 + t + 11*t + 180*t**4)*(-3 + 3 + t).\nAnswer: -2*t**5 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 90244 = -38*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, 1092?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 + -7.342.\nAnswer: -137.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffffffffffkfffkffff. What is prob of picking 3 k?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22282268 is divided by 696319.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 973077484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*o + 3, 3*a = 75*o - 73*o + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 2*i - 6. Let u be d(-3). Let q = 45 + u. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162036 by -6.\nAnswer: -27006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anxx when four letters picked without replacement from {x: 2, n: 1, q: 1, m: 1, a: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-7\/6)*t**8)\/(t**(7\/5)\/t*t*t\/(t**(-2\/39)*t)) assuming t is positive.\nAnswer: t**(1133\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/21 + (1 - 41\/3). Let h = j - -53. Suppose 0 = 3*r + 11*k - 8*k - 24, 5*r - k = 22. Solve 5 = -x - 5*v - 24, -r*v - h = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r + 1. Let t(d) = -32*d**2 + 13*d - 23. Let l(g) = -62*g**2 + 27*g - 45. Let p(c) = -5*l(c) + 9*t(c). What is 36*o(v) - 2*p(v)?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - p**2 - 2*p + 1 - 3*p**2 + 2*p**3. Let u be o(1). Suppose 8 = 2*d - 0*d - 2*w, d = 4*w - u. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-15 - -4)) + -1 + 5 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 13*u + 35*u**3 + 26*u**3 + 2 - 60*u**3 to the form q*u**3 + h + g*u**4 + i*u + s*u**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 1860 = r. Suppose 15 + r = 6*q. Calculate the remainder when 65 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(((2 + sqrt(396))**2 - sqrt(396))*3 - (sqrt(396) - (0 + sqrt(396))*6)).\nAnswer: -30000 - 2100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.061262 + -0.061. What is o rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:14 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.44 times -0.5\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/61200 and -197\/1530?\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 35*k**2 - 11*k + 3. What are the prime factors of g(-35)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 422*m - 2656. What is n(-6)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/28 + (-48)\/(-21). Suppose l*d = 4*h - 6, 2*h - 1 = 5*d - 10. Is (-1 - (-636)\/h)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose -v*u = -3 - 5. What is the derivative of f**u + 2 - 4 + 4*f**4 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 56?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-324289646)\/1253)\/(2\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 210. Suppose -295 = -l + 4*x + z, -3*x + 2041 = 5*l. Suppose -6*n - 59 = -l. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 39*c**2 + 42*c + 73. Determine o(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 5130*d**2 + 20583*d + 25710.\nAnswer: -3*(d - 5)*(d + 1)*(d + 1714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5989\/42 + -889\/6. Let o be 8\/20 - 81\/15. Do h and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 - 4*f**2 + f**2)*(27 + 5 - 4) as a*f**2 + h + m*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086799 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 2*v**4 + 4*v**4 - 2*v**4 - 1 + 1 + (0*v**3 + 2*v**3 + 0*v**3)*(-1 + v + 1) - v**4 + 2*v**4 - 2*v**4 + 2*v**4 + 4*v**3 - 4*v**3.\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/23261 or -655?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*(6 + -4). Is c at most 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63aa3 - ba2?\nAnswer: -64a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7631 - -304.7631. Sort 1\/4, j, -0.16 in ascending order.\nAnswer: -0.16, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049097223 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -37. Suppose 3*r + 3*i + 6 = 21, i + h = 5*r. Suppose -5*a + 4*z = -114 - 80, 4*z + 110 = r*a. 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: Express -266 + 29*j + 281 - 2*j**2 - 32*j - 2*j**3 as o*j**2 + y*j**3 + a*j + z and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913930.\nAnswer: 2, 5, 91393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 2)*(-4*c + 2*c + 0*c) + 3*c - c + c)*(-148 - 157 - 379) to the form l + p*c and give p.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1896\/(-264) - ((-3 - -2) + -6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00151625 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 - 2*c - 6. Suppose -2*i + 9 = -3*k - 0, 3*i = 2*k + 11. Let w be a(i). Is -2 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300873 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/3 - 10*q**3 - 50*q**2 - 250*q\/3 = 0. Calculate q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) -3 (c) -227 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 6. Let a be c(4). Let s(x) = -5*x - 1. Let n be s(a). Let u = 17 + n. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 112 + 36296?\nAnswer: 363a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297342 and 81?\nAnswer: 2676078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*o + 91 - 47 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1425275061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 5*w - 3. Let h be a(-5). Let l = 6 + h. Suppose -5*c + l*m = -4, -c - 2*m + m = -4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85*((-26)\/637 + 708\/2940)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5466, 5460, 5454, 5448?\nAnswer: 5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2749 is divided by 386?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2520128 millennia?\nAnswer: 252.0128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3*l - 6872*b**2*l**2 + 2*l**2 - 63842*l - 1 with respect to b.\nAnswer: 12*b**2*l - 13744*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.42 - -0.02. What is the third smallest value in i, 9, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2454144788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39055807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2)*-2 - 1. Suppose -2*k = f*u, -3*k - 10 = 2*u - u. Is (8\/2)\/u - -12 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088284538 rounded to five dps?\nAnswer: 0.08828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21164 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 298 = 73 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15409965?\nAnswer: 3, 5, 1027331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:35 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4865.1 + -5162. Let j = -311 - q. Let n = j - -14. Which is the second smallest value? (a) n (b) 2 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 j when three letters picked without replacement from {j: 1, x: 1, k: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330490.\nAnswer: 2, 5, 33049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 223, 216, 205, 190?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3644121 and 51\/65.\nAnswer: 18220605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 4*v - 3*v + 2*v + 2 - 2 + (4*v + 15*v + 0*v)*(3 - 4 - 2) + 0*v - 2*v - 2*v + (1 - 1 - 2*v)*(2 + 1 - 2).\nAnswer: -59*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21447011 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9240 and 1665?\nAnswer: 1025640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 56*k**2 - 8*k + 36*k**2 + 49*k**2 + 3*k - 7. Is i(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w**3 - 2*w**2 + 2*w + 7. Let y be k(6). Suppose 0 = -5*n + 9619 - y. Round n to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 238 + 55a1?\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f + 5. Let t(x) be the first derivative of -x**4\/4 - 7*x**3\/3 - x**2\/2 - 2*x + 6. Let w be t(-7). Is 12 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1542662*m**2*x**2 + 2*m**2*x - 24*m**2 - 2*m + 2*x - 352 wrt x?\nAnswer: 3085324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 0*x)*(-303 + 310 - 8*x + 4*x) + x**2 - x**2 + x**2.\nAnswer: 13*x**2 - 21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 594483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-3\/20)*m*m*m*m*(m**(3\/8)*m)\/m*m**13 assuming m is positive.\nAnswer: m**(693\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -6, -6\/7, 0.17, -19\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v + 33. Is 4 a factor of j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 242, 873, 1924, 3395, 5286, 7597?\n\"Answer: 210*y**2 + y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33550000 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 1333758*j**3 - 37343460*j**2 - 261400104*j.\nAnswer: -3*j*(j + 14)**2*(j + 444558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21605 or -21475?\nAnswer: -21605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -324 (b) 24 (c) -285\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (65\/39)\/(2\/18). Let v = i + -101. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let m be 32\/14 + t\/7. Suppose -m*y - 2*y = -132. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25, -5, 0.2, -1.12, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a + 35. Let y(o) = o - 1. Give -w(x) + 6*y(x).\nAnswer: -10*x - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {w: 1, e: 1, n: 1, x: 1, m: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10*(-23730)\/(-28). Let s = d + -666. What is the smallest common multiple of 6 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.99614kg?\nAnswer: 0.00999614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from yspspesippswiisssyps.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 7*v + 8. Let t be m(8). Let z(p) = -t*p + 11*p + 1 - 1. Let j(r) be the third derivative of r**4\/24 + 41*r**2. What is z(j(s))?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -21*d - 105. Let v be g(-5). Suppose -5452 = -3*l + 4*y + 12763, -4*y - 20 = v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1250406.05 and -0.2.\nAnswer: 250081.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, p: 2, j: 2, s: 2}. Give prob of sequence jjps.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 3*t**2 - 10*t - 10. Let z be p(-4). Solve 3*i + z*v - 18*v - 16 = 0, -3*v - 19 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {q: 2, r: 1, y: 1, s: 1, h: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466071 = 5800*n + 2679*n - 665807 + 368768 for n.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19452?\nAnswer: 2, 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3604 (b) -8 (c) -17 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 3. Let c be z(-2). Suppose -c*k = -4*k - 25. Find the third derivative of p**2 - 3*p**2 + 0*p**5 - 3*p**k + 4*p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 0*3*7\/63.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19929619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-569)\/((85\/(-10))\/17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -23. Let h = 27.21 - q. Let v = h + -0.21053. Round v to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1539, -1351, -1041, -609, -55, 621, 1419?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 551564, 551585, 551606, 551627, 551648?\nAnswer: 551669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 14*c - 147. What is n(-10)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:09 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.000183 decades in months?\nAnswer: 720.02196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:52 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 5*b + 0 - 10*b**3 - 13 - 17*b**2 - 4*b**3. Let y(l) = 7*l**3 + 8*l**2 - l + 6. Let h(m) = 6*w(m) + 13*y(m). Give h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/4 - i**3\/3 + 4*i**2 - 3*i + 5. Let b be s(5). Let h = -28 - b. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(8) + 2*sqrt(2)*-1 + -4)*3 + 3.\nAnswer: -9 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2014\/190 - (-27)\/(-3)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5431248, -5431244, -5431224, -5431182, -5431112, -5431008, -5430864?\nAnswer: -5430674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4781 is divided by 785.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*s - 18*s - 4123 = 40*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((2\/4)\/((-72)\/(-720)) - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.675695 grams to micrograms.\nAnswer: 1675695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyh when three letters picked without replacement from {v: 1, i: 1, e: 1, y: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24940 and 24295?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-10))\/((-6)\/56). Let x be (21\/n)\/((-3)\/8). Solve c - x*i + 1 = 0, -5*c = -4*i + 5*i - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:42 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 20 = -24. Suppose 3*n = -i + 5*n + 119, 5*i - 603 = s*n. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -3. Which is the nearest to -1\/2? (a) r (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/8 - (-1)\/2. Suppose o*v + 24 = v. Let s = v + 9. Put s, -1, -2 in increasing order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2 (b) -644 (c) 0.1 (d) 3 (e) -2\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 10*h - 16. Factor 8*m**2 + 3*m**3 + 26 + 37*m - 2*m**3 + 16*m + 20*m**h.\nAnswer: (m + 1)**2*(m + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5845522 litres in millilitres?\nAnswer: 584.5522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1599*k**2 + 15*k + 295. Let d(g) = -800*g**2 - 7*g - 136. Determine -13*d(q) - 6*s(q).\nAnswer: 806*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**4 + 0*v**2 + 0 + 31*v + 0*v**5 - 17\/30*v**6 + 10\/3*v**3. Find the second derivative of t(w) wrt w.\nAnswer: -204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11373 * 4.\nAnswer: 45492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c + 5. Let v be (9 - 8)*c*6. Suppose -270 = -v*d + 30. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 3, -3 in descending order.\nAnswer: 5, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -16224162670 and -2253.\nAnswer: -16224164923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w + 21. Let m = 158 - 144. What are the prime factors of t(m)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*y**3 + 85*y**3 - 232*y**3.\nAnswer: -323*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmyyyppy. What is prob of sequence mr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**6\/120 - 3*n**5\/10 - n**2 + 662*n. Suppose f(y) = 0. What is y?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h, 0*h + 12 = 3*p - 2*h. Suppose 4*v - 40 = -p*v. Let z = 0 + 1. What is the nearest to z in v, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3, -44.\nAnswer: -44, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 17*z**2 - 19*z - 14. Let g(d) = d**2 - 13*d + 4. Let a be g(11). Let l be t(a). Suppose -3 + 187 = l*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405125 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-13) + 20\/30?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56853161 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, 3, -12\/13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*3\/2. Let g be (0 - -1)\/(w\/120). Let v(b) = -14*b - 32. Let s be v(-4). What is the highest common divisor of g and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510237?\nAnswer: 3, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 38 = -4*j + 10*l, 2*l = j + 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256) + -2*sqrt(256) - sqrt(256) - sqrt(4) - 4*(sqrt(4)*-1 + sqrt(4) - sqrt(4)))\/(sqrt(288) - sqrt(288)*2*-6) + -1)*3.\nAnswer: -3 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, 5, -1613404 in descending order.\nAnswer: 5, 3, 1, -1, -1613404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3 and 3 - (345\/(-11))\/(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 2*u**4 + 5*u**3\/6 - 3*u**2\/2 + 17*u. Find the second derivative of c(g) wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(4 + 1 + sqrt(125) + -2 + sqrt(125) + 0 - (1*sqrt(125)*3 - -3*(sqrt(125) + 2))))**2.\nAnswer: 1920*sqrt(5) + 32144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 77.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-30))\/(258\/387*(-6)\/(-10))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 37. Let o = -0.7 - 0.3. Let q = -373 + 380. Which is the third smallest value? (a) l (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + 51\/12. Suppose v*q + 0*q - 37 = s, 5*s + 49 = 3*q. Suppose 2*z + 0*z = q. Solve 0 = h + 5*w - 2, z*h + 3 - 11 = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 2*q**2 + 5*q + 8. Let s be g(0). Is s bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**13*u*u)**(-5\/18)*(u**17)**(3\/2) assuming u is positive.\nAnswer: u**(379\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57095 divided by -5.\nAnswer: 11419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -86, 3\/8, -3\/5, -3, -0.185, -49?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - ((-6)\/(-2) + -2). Let w(y) = y**3 - 9*y**2 + 7*y + 11. Let p be w(f). Let m be (-4)\/(p\/2 + -2). Solve -t - 1 = 4*v, 5*v + m = t - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42028 and 12166.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:59 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -29.00027. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0886? (a) 3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away -584.301?\nAnswer: 585.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1852 or -2893?\nAnswer: -2893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:42 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1348*a - 293 - 3955*a + 1306*a - 2*a**3 + 1301*a + 2*a**2 in the form p*a**2 + z*a**3 + c*a + m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 2*w - 3*w)*(-4 - 61*w**3 + 59*w**3 - 16*w**2 + 14*w**2) + 60*w**4 + 633*w**2 - 633*w**2.\nAnswer: 56*w**4 - 4*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -21, 159362, -4\/5?\nAnswer: 159362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230*i**6 - 6*i**5 - 2*i**2 + 3038*i.\nAnswer: -27600*i**3 - 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)\/z*z*z\/(z**10\/z)*(z\/(z\/((z**(-3)*z*z)\/z)))\/z*z**(-13))**(2\/3) assuming z is positive.\nAnswer: z**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m**2 - 77*m**2 - 3*m**3 + 160*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1312 (base 4) to base 13.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-10) - (-9 - (-322)\/35). Suppose 12 = 5*f - p, w*p + 21 = -5*f + 48. Solve -10 = f*o - 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1967 and -101\/6?\nAnswer: 11802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2 + 89003484*x + 660135013678188 = 0?\nAnswer: -14833914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -15*a + 4. Let d(g) = -4*g**3 + g**2 + 4*g + 2. Let l(y) = -y**3 + y + 1. Let n(m) = a*d(m) - 7*l(m). Give n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.60202345 and -7.9853.\nAnswer: -7.38327655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1249 by 10642.\nAnswer: 1249\/10642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -67 - 13. Let i be (-88)\/(-2)*(-25)\/y. Suppose 9*h = 4*h + i. Calculate the remainder when 20 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**4 - 2*a + 2*a**5 + a**5 + 5*a**4 - a**2)*(1 + 2 - 1).\nAnswer: 6*a**5 + 2*a**4 - 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l - 72 - 17 - 54 - 15*l - 202 in the form t + z*l and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 23. Let f = v + 11. Suppose n - 33 = -f*n. Solve -5*m + 0*w - w + n = 0, m + 3*w = -9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 884\nAnswer: 35.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -491 (base 14) to base 8\nAnswer: -1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 7*i**2 + 4*i - 3. Let c be 2\/(-9) - 336\/(-54). What is h(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 9) to base 12\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.669 in -3, 1330, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 13*g**2 + 15*g + 43. Let a be h(14). Is 58 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296104535 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, 4, 62384 in increasing order.\nAnswer: 4, 342, 62384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 6*i - 8. Let j(g) be the second derivative of g**3\/3 - 3*g**2\/2 + 13*g. Let x be j(2). Let u be (1 - -13)\/((x - -5)\/(-3)). Give m(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q**(1\/4)*q)\/q))**(2\/7)\/(q\/((q\/((q**4*q)\/q))\/q)*q*q**(-2\/9))*(q**(-1\/2))**(-2\/77)\/(q**(-1)*q)**(-17) assuming q is positive.\nAnswer: q**(-8089\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/(r\/((r\/(r*r\/(r*r*r**(-2\/9)*r)))\/r)))\/((((r\/r**(-1))\/r)\/r)\/r*r**(1\/5)) assuming r is positive.\nAnswer: r**(251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 756607, 756606, 756609, 756622, 756651, 756702, 756781?\nAnswer: 756894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6*905\/(-75))\/((-2)\/(-10)). Let a = -95 + h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 12:21 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 3*q**2 + 2*q**2)*(-2 + 6 - 10).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4532 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.79913 minutes in weeks?\nAnswer: 0.0400594375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 1, e: 1}. Give prob of sequence pbe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - q - 9, 3*q = -4*j + q - 2. Solve 1 + 2*n**2 - 2*n**2 - n**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(2\/3))**(1\/36))**(3\/32))**27)**(-23) assuming j is positive.\nAnswer: j**(-345\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-10376)\/119324)\/((-2)\/(-207))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 9\/22, 4, -0.4, -57?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 6*f + 3*f)*(3*f - 3 + 3)*(-9*f + 11*f**2 + 9*f).\nAnswer: -66*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19439 greater than -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/24*(-22)\/330.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**3 - 2*y**2 + 2*y + y**3 + 5*y**3. What is the remainder when g(-4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669, 5761, 14247, 26127, 41401?\nAnswer: 60069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 - (9 + 8 + -25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2279169, 4558341, 6837515, 9116691, 11395869, 13675049?\n\"Answer: d**2 + 2279169*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 52440, 2, 4, 0.1 in increasing order.\nAnswer: 0.1, 2, 4, 52440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/5 + 5852*k**2\/5 + 1141376*k + 1854874816\/5 = 0.\nAnswer: -998, -964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 10033, 4?\nAnswer: 10033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12967633 by 19.\nAnswer: -682507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**(-7\/9)\/(b*b**(2\/33)*b*b**(1\/12)*b) assuming b is positive.\nAnswer: b**(-1861\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19176917 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/5 - 1569122*y\/5 = 0.\nAnswer: 0, 1569122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50200 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 646 + -635 - ((40 - 1) + -1 + -2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(((c*c*c*(c*c\/c**14*c)\/c*c*c*c)\/c)\/c)\/c*c)\/(c**(2\/63)\/c))**24)**(1\/38))**(-28) assuming c is positive.\nAnswer: c**(320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (-8 + -9)) + 13 - 34.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19599.9 take away -0.16?\nAnswer: 19600.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (50*24\/120)\/(-6)*5\/1?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -h, -5*x - 3*h = -11 - 31. Let g be (-109125)\/x*6400\/(-6). Suppose i = 3*i + g. Round i to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 467 = 4*l + 41, -2*n - l + 441 = 0. Let d = -11 + n. What is the least common multiple of 2 and d?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a + 32. Let n(g) = g**2 + g - 11. Let v be n(4). Let j be x(v). Let b = j + 12. List the prime factors of b.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/2*230\/(-46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpuhurjjupruhugp. Give prob of picking 1 u and 1 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.327 - 0.1.\nAnswer: -0.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -7. Find the first derivative of 2*f**2 - 11 - 11*f**2 - w + 10 wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - -40) + -2)\/((-10)\/(-5)). Suppose -173 - a = -5*l. Is 38 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-18))\/(1\/(-3)))\/((-88)\/792)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -460, -459, -458, -457?\n\"Answer: l - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 1, l: 6}. Give prob of sequence lv.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -1837004*v**3\/3 - 7348084*v**2\/3 - 5511284*v\/3 - 68 = 0.\nAnswer: -3, -1, -17\/459251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21167 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let s(i) = i**2 + i - 1. Let k(q) = q**3 - q + 2. Let u(d) = c*k(d) + 4*s(d). Let x(n) = n**2 + 2*n - 6. Let o be x(-3). Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (31 - 19) + -14 - 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(288)*3 + sqrt(288))*5 + (sqrt(288) - (-2 + sqrt(288))) + 5)**2.\nAnswer: 2400*sqrt(2) + 115225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8863 = -5*z, 17681 = 2*t + 2*t - z. What is the least common multiple of t and 4910?\nAnswer: 44190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14561, 27268, 48449, 78104, 116233, 162836?\n\"Answer: 4237*i**2 - 4*i + 10328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-5 - -7 - -11)) + 4 - 36?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2158725s in nanoseconds?\nAnswer: 215872500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 + 153*d**2\/2 + 1080*d + 4128.\nAnswer: 3*(d + 8)**2*(d + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1005*p**3 + 594*p**3 + 208*p**3)*(-2*p + 2 - 2) + (2*p - p + p)*(-p**3 + 5*p**3 - 5*p**3) in the form m*p**3 + r*p**4 + c*p + j + k*p**2 and give r.\nAnswer: -3616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:42 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y + 2. Let a be l(-8). Suppose -v + a = -3*v. Does v = -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/385*-5 - (-72)\/(-132)?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5325\/(-10))\/(2\/(-4)). What is the common denominator of ((18\/(-16))\/(-3))\/(315\/v) and 88\/21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12463\/2910 + -5\/291. Let n = 907543\/1530051 - 1\/120004. Calculate the common denominator of n and a.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i**2. Let r(u) = -89820*u. What is t(r(d))?\nAnswer: -104879221200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*l - 172 = l, l - 96 = -2*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523838 is divided by 10487?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16722 is divided by 95?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1399 at least as big as -50321\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (3 + 0 - (22 - 15)). Suppose 1952 = l*s - 1668. Suppose -42*d + s = -37*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -665717 - -1048816. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -2\/9*q**3 + 0*q**2 + 0*q**4 - 3 + 2\/15*q**5 + 0*q. Suppose i(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297854 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1246, -1193, -1184, -1237, -1370, -1601, -1948?\n\"Answer: -3*u**3 - 4*u**2 + 86*u - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -ab740b (base 15) to base 2\nAnswer: -11111001011111000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31516a1 (base 11) to base 4\nAnswer: -111023100003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4162 by 2081.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/378*4\/5. What is the second biggest value in g, -3\/5, 0.4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 18*y**3 - 21*y**2 + 18*y + 24 = 0. What is y?\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4 = 2*w, 1 - 6 = -2*w + 5*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10223, -10204, -10185, -10166, -10147, -10128?\nAnswer: -10109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 + 126972*j\/11 + 311526.\nAnswer: 2*(j + 27)*(j + 63459)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x + 2*x)*(2*x - 2*x - 2*x**2 + (-3*x - 2*x - 3*x)*(7*x - 2*x - 3*x)) - 98*x**3 + 184*x**3 + 30*x**3.\nAnswer: 134*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.22 and 27.6.\nAnswer: -116.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 + 5*l - 3. Let f be (12\/(-15))\/(1\/(-115)). Suppose 0 = 4*s - 0*s - f. Calculate the remainder when s is divided by o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 - 4*r**2 - 25 + 26 to the form v*r**2 + p*r + z and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -9683053407?\nAnswer: 9683053409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -30 + 28 + -32.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*n**2 + 1)*(947212*n**3 - 898978*n**3 - n**2 + n**2).\nAnswer: -96468*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 2. Let o be w(-3). Suppose -5873 - 2739 = -o*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -16365*v - 196436. What is d(-12)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scf when three letters picked without replacement from scsffudcdudd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11747\/3 + 3853. Which is smaller: z or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1*4\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.1 + -28.1. Let q = -9.83 + -0.17. Let r be 7 + (-486)\/117 - (5 + -2). Which is the third biggest value? (a) q (b) k (c) r (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 988, 2032, 3440, 5212?\nAnswer: 7348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(5\/10)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -125348.\nAnswer: -125347.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + -5 + (-1 + sqrt(76) - sqrt(76) - sqrt(76)) + 4*(sqrt(76) + (sqrt(76) - (sqrt(76)*1 - sqrt(76)))) + (-1*-1*sqrt(76) - sqrt(76)) + 0)**2.\nAnswer: -84*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2626590 and -233.5.\nAnswer: -2626823.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 369295*w**3 + 205391*w**2 - 2.\nAnswer: 2215770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 223, 444, 667, 892, 1119?\n\"Answer: t**2 + 218*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1030 + -133?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -0.01, -345, 0.61 in ascending order.\nAnswer: -345, -3, -0.01, 0.61, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(540)*1 - (-2*sqrt(540)*1 - sqrt(540)))\/((sqrt(120) + sqrt(120) + -1*sqrt(120)*-1)\/sqrt(10)))**2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 18. Let x be i(13). Put x, -1, 1 in decreasing order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljalliljl. Give prob of picking 1 j and 1 l.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 9382*i - 2. Let o(l) = -l. Give o(y(z)).\nAnswer: -z**2 + 9382*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 - 651945*f**2 + 651930*f + 1303880 = 0. Calculate f.\nAnswer: -1, 2, 130388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -136. Let l(j) = -j**3 + 6*j**2 + 3*j + 3. List the prime factors of l(w).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + 99 - (13 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 17, 3\/2, -0.242, -1\/9, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -240, -507, -850, -1185, -1428?\n\"Answer: 14*w**3 - 122*w**2 + w - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) 2\/3 (b) 3 (c) 28 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 575*g + 1435204. Give p(-2496).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.44632 rounded to 2 decimal places?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 289447492 and 580?\nAnswer: 1447237460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**6\/5 + f**4\/6 - 11*f. What is the third derivative of z(i) wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -960786 at most as big as -960786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 4*g + g + 14)*(3*g - g - 16*g).\nAnswer: 42*g**2 + 70*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4330730 * 145.\nAnswer: -627955850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1350 divided by -50\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v - 63. Let u = v - 13. What is the second derivative of u*z - 2*z + 0*z - 8*z**4 + 16*z**4 wrt z?\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -17*b**2 - 10*b - 21. Let h be a(-5). Let m = -396 - h. Solve m = -5*j + 16 + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3664 + -5639.294.\nAnswer: -9303.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.08 + -49. Which is bigger: 2\/5 or p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to -1.726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 2. Let j = -3.228 + 0.228. Sort -2\/9, l, j in decreasing order.\nAnswer: l, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9 - (-4)\/(-5)) + (-7682)\/(-690)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782, -1556, -2330, -3104, -3878, -4652?\nAnswer: -5426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12c9 (base 16) to base 10\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-12) - (2 - 8\/6). Suppose -d*b - 84 = -5*g + 47, 83 = 3*g + 2*b. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2. Let w(f) = -f. Let d(h) be the third derivative of -11*h**4\/24 + 19*h**2. Let y(l) = d(l) - 6*w(l). What is y(u(k))?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:14 AM?\nAnswer: 412","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 35 - 35 + (0 - 2 + 3)*(0*u - 2*u + u))*(1 - 2 - 4).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 - 5*n + 2. Let s = -5 + 0. Let c be j(s). Solve -c = -5*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2 + 114462*n - 1091795787 = 0 for n.\nAnswer: 19077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 1 p when three letters picked without replacement from {o: 1, n: 3, a: 1, p: 2, j: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*d + 9 = c, -5*c - 2*d - 40 = 0. Let o(l) = 5*l**2 - 6*l - 5. Is o(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008759955?\nAnswer: 5, 7, 743, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/806 + 1597\/4030. Which is the nearest to 2\/11? (a) s (b) 1\/2 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 4*a**2 - 2*a + 3. Let f be x(2). Let z = 8 + f. What is the smallest common multiple of 12 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 9:15 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -5, 1\/3, 3\/605, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 10. Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 8, e: 1, y: 2}. What is prob of picking 1 m and 1 e?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 12 + 23*f + 31*f - 24*f + 52*f.\nAnswer: 82*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 5*m, 600005 = 3*p + 5*m. What is p rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*b = 12, t = 4*b + 6 - 21. Let s(o) = o**2 - 15 + 13 + 0*o + 5*o + t + 0*o. Calculate s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2541\/338609 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9996 is divided by 606?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 856732245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1352*f**3 - 5*f**4 + 12*f - 1352*f**3 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 + 0*q**2 + 0*q**2 + (-2 + 2*q + 2)*(-3 + 3 - 3*q) - 3*q**2 - q**2 + 2*q**2 - q**2 - 1 + 1.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 - -0.190128. Round i to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 536*q**3 + 98*q - 798*q**3 + 450*q**3 wrt q?\nAnswer: 1128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3384)\/(-94))\/((16\/(-56))\/(3\/21)*-1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 153932?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*s = 74*s + 80*s - 414 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 48*y**2 + y. Suppose 0 = 3*a - 5*j - 2 - 6, -j = -2*a + 3. Does 21 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*h**5*n + 19*h**4 - 197*h**2*n wrt h.\nAnswer: 720*h**2*n + 456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9 + 5 = l, 2*x - 2 = -l. Let s = l + -4. Suppose -s*j = -u - u, 4*u - 8 = 0. What is the greatest common divisor of 8 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + 2*j)*(-j**2 + 0*j**2 + 2*j**2) - 45 + 2*j**3 - 2*j + 3*j + 26.\nAnswer: 4*j**3 + j - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -8.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = -10. Suppose -5*n = x*m - 0*m - 5, 0 = 4*n - 2*m + 2. Factor n + 12\/5*a + 16\/5*a**2 + 4\/5*a**3.\nAnswer: 4*a*(a + 1)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-3)\/12)\/(90\/(-40))). Sort -2, 1, 5, l, 3 in descending order.\nAnswer: 5, 3, 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.4, -0.1, 2, 8.035?\nAnswer: 8.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2882*y - 2884*y = -2*c + 2, -48 = 3*c - 20*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -2.4. What is the closest to -0.1 in -0.1, m, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*p + 8114, -2*p = -3*z + 3369 - 112. Let s = -747 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269 + 162 + 19*w + 107 + 14*w**2 to the form y*w**2 + z*w + r and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose 5*g - 9*g + 12 = 0. Solve -r + d = -g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 188\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/n**(2\/3))\/n*n)*n)**21*((n**5*n)\/n)\/n**5*(n\/n**(2\/5)*n*n**(-5))\/((n*(n\/(n*n**(1\/2)*n*n))\/n*n)\/n**(-2\/11)) assuming n is positive.\nAnswer: n**(1311\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 13*x**2 + 14*x + 28. Let s be r(-12). Let t be (4\/2)\/(-1)*2. Let w = t + s. Solve 0 = -w*l - l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 3418*k + 3419.\nAnswer: -(k - 1)*(k + 3419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 - 17*l**4\/12 - 3*l**3 + 13*l**2\/2 - 9*l. What is the remainder when o(-16) is divided by 2\/4 - (-90)\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((2*sqrt(66))\/sqrt(2))\/sqrt(3) + 2 - ((sqrt(11) + -2*sqrt(891))**2 + -1)*-5))*-6.\nAnswer: -95358 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/5)*u*u*u**(6\/7)*u*u*(u**(-6)\/u)\/(u\/(u*u\/u**(-1\/12)*u))*((u\/((u**(-2\/11)*u)\/u))\/(u\/(u**(-13)*u)))**(2\/15) assuming u is positive.\nAnswer: u**(-11251\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 70122*y + 982084. Give x(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -919*i - 14. Let w be n(-8). Suppose -w = -4*u - 1742. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90328 (base 12) to base 8\nAnswer: -555320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaggaaegaa. Give prob of picking 3 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, w: 1, n: 2, s: 1, b: 1, x: 1}. What is prob of picking 1 b, 1 n, 1 t, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 423, 3411, 11513, 27285, 53283?\n\"Answer: 426*w**3 + w**2 + 3*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -10\/291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 4379488.\nAnswer: -4379497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 - 2*m**2 + m**2 + 3*m**4 + (3*m + 19*m + 4*m)*(m**3 - 3 + 3) in the form p*m**4 + v*m + x + r*m**2 + c*m**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**3\/9 - 11105*j**2\/9 - 68722*j - 195085 = 0.\nAnswer: -10641\/8, -55, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -4*s - 103692, 11*s - 17248 = -2*u + 6*s. List the prime factors of u.\nAnswer: 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 66 = -3*c. Let w = -18 + c. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/12 + 125\/(-120). What is the biggest value in b, 6, 0.07?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 8*s**2 + 25*s + 48. Determine y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - o - 1. Let q(g) = 14*g**3 + g**2 + 4*g - 50. What is -q(l) - 4*t(l)?\nAnswer: -2*l**3 - l**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d - -3e17?\nAnswer: 3da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-423)\/(-27)*9 - -3 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s. Let f be o(-2). Solve 0 = -4*x + 5*k + 8, 0 = f*x - 0*x + 3*k + 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 39, 69, 107, 153, 207?\n\"Answer: 4*f**2 + 10*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 + 72 - 130 - 8*b**2 as c + u*b**2 + k*b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -2\/3 (b) 252 (c) -7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -20 - (-13 + -12 - 7930)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**3 + t**2 - 60*t**3 + 49*t**3 - t**2.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4846 - 4839. Let q be (-66)\/((-1)\/(-4)*-6). Suppose -2*g + q = 2*g. Calculate the smallest common multiple of g and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 128593709?\nAnswer: 25718741.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -185, -2, -4, -3, 2809 in increasing order.\nAnswer: -185, -4, -3, -2, -1, 2809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 44*u + 1180. Give r(-25).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 5 = 0. Calculate the remainder when (-2 + 14\/4)*10 is divided by ((-16)\/(-1))\/i - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6341303087 to the power of 1\/3, to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -262*k**3 + 259*k**3 - 6*k**2 + 17*k - 8*k.\nAnswer: -3*k*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 2. Let s(b) = 3*b**2 - 13*b - 9. Calculate s(d) + 6*x(d).\nAnswer: 3*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*u + 22*u + 24*u - 18 - 73*u.\nAnswer: -348*u - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 11 = -39. Let t(k) = -6*k**3 - 7*k**2 + 7*k - 2. Let v(o) = -3*o**3 - 4*o**2 + 4*o - 1. Determine r*t(d) + 7*v(d).\nAnswer: 3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 33, -6, 856.\nAnswer: -6, 3, 33, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -221 - 414679\nAnswer: -414900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000576 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*70\/(-245)*-2*4599\/216\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22413468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + 2 + (-20)\/4. Solve -4*g - 7 = -2*l + 5, -5*g - x = -2*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3291585 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 3*f**4 + 3*f**3 - 11*f**2 + 6*f.\nAnswer: -f*(f - 3)*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -795*k - 69899. Determine j(-88).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pippmdhppimiaiii. What is prob of sequence mdm?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1265920 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**6\/300 - i**5\/150 - i**4\/30 + 11*i**2\/2 + 13. Let c(k) be the second derivative of b(k). Let c(j) = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4493 - -4508433695.\nAnswer: 4508438188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448835 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z. Let c = 5 - 6. Let n be z + 0 + c - -64. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 128860551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275188.\nAnswer: 2, 29, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.90233895 + 0.1.\nAnswer: -11.80233895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**3 + y**2 - 29*y - 40. Let x(w) = -9*w**3 - 29*w - 39. Let h(f) = -5*p(f) + 4*x(f). Let v be h(-8). Solve -16*l + v = -14*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 16*w - 684 = -21*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439000 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -566? (a) 2 (b) -0.7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146.293 + -0.293. Let g = c - 146.03. Sort g, -0.5, -0.4, 2 in increasing order.\nAnswer: -0.5, -0.4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-30)\/(-45))\/((-8)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q**2 + 2*q - 2*q)*(2 - 2 + q) + q**3 + q**3 - 5*q**3)*(-5*q + 0*q - 8*q).\nAnswer: 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9072 divided by 8.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7751163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26713897211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -59. Let j(f) = f**2 - 7*f - 8. Let m be j(u). Suppose m = -4*d + 62 - 22. Solve -p + d = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.051.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:59 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 3788505?\nAnswer: 7577010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 337284565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w - 16. Determine g(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032578 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 587, -8, 4 in increasing order.\nAnswer: -8, 3, 4, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c. Let z(s) = 2*s + 1 + 3*s - 1. Determine z(g(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1) + 5 + -2. Let g be y\/((-15)\/6 - -3). Find s such that 0*s - 2\/5*s**3 + 0 + 2\/5*s**5 - 2\/5*s**4 + 2\/5*s**g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let r(k) = 79*k + 1390. Let d(q) = -r(q) + 9*x(q). Differentiate d(l) wrt l.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.864 rounded to one dp?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -684.188 and 88.\nAnswer: -60208.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = x - 5*x. Let o(w) be the first derivative of w**4\/4 - 2*w - 1. Let u(a) = a**3 - 1. What is x*o(m) - 4*u(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxsrmmjxxxgxxx. What is prob of sequence gjr?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t. Let a(o) be the third derivative of 3*o**5\/20 + 310*o**2. Calculate a(w(c)).\nAnswer: 1521*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let v = -7 + 4. Let g(i) = -4*i**2 - 6*i - 5. Let h(n) = v*b(n) - g(n). Let c be h(-5). Are 1\/6 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -431, -351, -283, -233, -207?\n\"Answer: -x**3 + 87*x - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*t. Suppose 4*g + 4*q - 139250756 = t, 3*g + 5*q - 34812681 = 2*g. Suppose 457612691 - g = -14*r. Round r to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 51054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17400 by -6.\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:32 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:31 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {f: 8, r: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/31276938 and 59\/218938566.\nAnswer: 218938566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 10*k**2 + 3*k - 57. What is the remainder when l(6) is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 382, 391, 380, 337, 250, 107, -104, -395?\n\"Answer: -2*s**3 + 2*s**2 + 17*s + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3 - k + 5 + 1. Let r be (-7)\/(35\/(-18))*(-435)\/(-261). Determine l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/120 and 23\/555?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*c**3 - 2476*c**2 - 190960*c + 96100 = 0. Calculate c.\nAnswer: -155, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 58*k + 42. What is the remainder when 116 is divided by r(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41945073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*15\/(-5)*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.05. Let w = y - -0.01. Which is the nearest to w? (a) -4\/5 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139987 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11686, 24620, 37554, 50488?\nAnswer: 63422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34138 - -34138.5. What is the nearest to -1\/3 in -3\/2, d, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*12\/6. Let h = o - 12. Let v be (-2)\/h - 2198\/(-11). Round v to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3621 - -7312. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 0) + 9 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1995165974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 13. Suppose 10 - 1 = a. Let h be u(a). Solve 2*y - 6 = -2*d, -4*d - 6*y = -h*y - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63.6 from -546.\nAnswer: -482.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - a - 2*z - 411 - 402 + 824 = 0, -49 = -3*a - 4*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 = 4. Suppose 2*p - 36 = m. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/7, 22, 6\/239, 0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321*f + 1256*f + 715 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/13 + 31\/52)*16\/120.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438022513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = -4*h + 23*h - 39 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 82*d - 455. What is the remainder when 55 is divided by s(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 88. Let k(h) = h**2 - 12*h + 16. Let t be k(q). Suppose t*w = -1 + 6. Solve -y + w = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -10. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose -n*g + 8 = 2. Solve g*k - 12 = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 5 = -3*u + 4*a, -4*a - 36 = 4*u. Let q(r) = -4025*r + 4 + 4026*r + 1. Give q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301\/6 + -54. Calculate the common denominator of -7 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11589533 - -6189533. Round o to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*2*sqrt(243) - (sqrt(243) - ((sqrt(243) + -1)*3 + sqrt(243))))**2 + -3.\nAnswer: -594*sqrt(3) + 29414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**7\/280 - f**5\/40 - f**3\/6 + 2*f**2. Let n(a) be the first derivative of u(a). What is the second derivative of n(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101100010110 - -111110001100?\nAnswer: -1000101110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 966409.1 kilograms?\nAnswer: 966409100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.28 + -4.28. Let h = 2 - 2.1. Is y at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11976.7 kilograms?\nAnswer: 11976700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 - 1.1. Let i be (-96)\/8 + 114\/9. Which is the nearest to i? (a) 12 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16917.3159 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-33) - (-26)\/22. Suppose -29 = 5*l + s. Let b(j) = -4*j - 9. Give b(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5)*(0 + (-14)\/21). Is t <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22.1 and -220771.73457?\nAnswer: 220793.83457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 3*y, 2*y = -2*m - 3*y + 26. Is ((-530)\/40)\/((-2)\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*2*-5 + sqrt(76))\/(sqrt(8)\/sqrt(8) - sqrt(4))*-1.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2490 * 0.35576.\nAnswer: 885.8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426.8 or 24.3?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10200340 + -4?\nAnswer: 10200331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4)*(-63)\/441)\/((-3)\/720)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-4)\/(-8)*1). Let b be -14 + 0 + c + 6. Let o = b - -20. Solve 5*l - 4*l - 11 = 4*p, -3*l - o*p - 15 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 3*h = -8*w - 56, 2*h = 0. What are the prime factors of (w\/(-12) + -5)*(-2595)\/20?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 63*k**2 - 2*k - 43*k**2.\nAnswer: -106*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 9*n - 9. Let l = -7951 - -7953. Let u(a) = a - 1. What is l*p(s) - 18*u(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 2*m**2 + 4*m + 2. Let d be i(-5). Suppose 3*p - 5*p + 3*w = d, 84 = -3*p + 5*w. Let b = -18 - p. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 q when four letters picked without replacement from qqhbbqqbqhbbb.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48 + 0.8. Let c = -0.94 - x. What is c rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -10. Let q = n - -14. Let o = 7 - q. Solve 0*j = -2*j - o, 0 = -3*u - 5*j - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -42. Let a be c + ((-52)\/4 - -6). Let q = 25 + -17. Solve a = -3*b - 3*h, -5*b - 4*h = -7*b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 756547 - -54?\nAnswer: 756612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*h + 3*h + 0*h)*(5 + 1 - 4) - h - h + 3*h)*(-h + 5*h - h) in the form n*h + r*h**2 + a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 16*f + 56. Give k(-6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 - 4*x - 3. Let d be q(-2). Suppose d = 2*s + m - 2, s - 2 = -4*m. Does 13 divide 2\/s + (-116)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - 1101110000?\nAnswer: -1110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**9)**(3\/11) assuming c is positive.\nAnswer: c**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44415662?\nAnswer: 2, 17, 1306343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30dd0e - d?\nAnswer: -30dd1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25814 divided by 6\nAnswer: -12907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 71753*y**2 + 717605*y - 1794075.\nAnswer: -(y - 5)**2*(y + 71763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14423347 to the nearest integer?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + (9361\/(-385) - -25). What is the third smallest value in -3\/13, 0.13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 222, 772, 1846, 3618, 6262?\n\"Answer: 29*j**3 + j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m + 1. Let t be o(-1). Let f(l) = l**2 + 6*l + 7. Let v be f(t). Suppose -62*h - 281 = -1769. Solve 4*x - 2*b = -h, v*b - 7*b = -3*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.631 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6*9\/10. Let n be (-1 + (-3)\/(-2))*4. Suppose 2\/5*t**3 + 16\/5 + m*t**n + 24\/5*t = 0. What is t?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1954*x = 336*x - 89310 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*o + 206*o - 2*m = -5, 0 = 2*o - 5*m + 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**3*p + 11*l**3*u - 10*l**2*u + 3*l*p*u - 3*l*p + 12*p wrt u.\nAnswer: 11*l**3 - 10*l**2 + 3*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 13. Let r(g) be the second derivative of g**4\/24 + 80*g**2 + 2*g + 60. Let z(w) be the first derivative of r(w). Give v(z(l)).\nAnswer: -2*l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*h - 24*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21235*k**4 - 197*k**5 + 21235*k**4 + (4*k**3 - 7*k**3 + 2*k**3)*(-k**2 - 2 + 2) - 3*k**5 + 0*k**5 + k**5.\nAnswer: -198*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 - 4*n - 7. Let z = -6 - -12. Determine t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3999953.\nAnswer: 23, 61, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*q + 93*q + 824 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.983 - -42. Let p = m + -0.052. What is p rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:24 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -12) + -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*(-2704)\/(-7605) + (-924)\/15\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*y**2 + 48*i**2*y + i*t**2 + 145*t**2*y**2 - 2*y wrt i?\nAnswer: 2*i*y**2 + 96*i*y + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-21))\/(16\/56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 - g + 14. Let p be h(-4). Let r be 5 - p - (-3 + 7)\/(-4). Suppose 0 = y + y - 12. Solve 8 = -r*s + y*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9756, 9827, 10028, 10425, 11084, 12071?\nAnswer: 13452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i + 2. Let w(x) be the third derivative of -2*x**4\/3 + 5*x**3\/6 - 4*x**2. Let c(a) = -5*b(a) + 2*w(a). Does 8 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51984.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60501 + 5*w + 2*w + 60501.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 + 26*x + 160 = 0.\nAnswer: -16, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -5 + 4 + sqrt(17) + -5 + (sqrt(2057)*5 - sqrt(2057) - sqrt(17)))*1)**2.\nAnswer: -792*sqrt(17) + 32993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 920, 987, 1054?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(-8)\/u)*u\/u**(1\/9))**6)**(-4\/5))**(-1\/5) assuming u is positive.\nAnswer: u**(856\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*z**4 - 8*z**3 - 88*z**2 - 76418.\nAnswer: 36*z**3 - 24*z**2 - 176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0 + 2. Let c(u) = 2*u + k - 1. Let d(q) = -8*q**2 + 76*q - 31. Let h be d(9). Determine c(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 39. Suppose -3*h + 0*r - 9 = 4*r, -2*r = -h - j. Let n(a) = 2*a + 1. Let w be n(-4). Is w at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 1. Suppose -21*x - 6 = -19*x. Determine w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 2*f**2 - 6*f**2)*(0*f**2 - 117 + 119 + 3*f**2).\nAnswer: 3*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**3 + 12*v**2 - 7*v**3 - 223*v**4 + 110*v**4 + 114*v**4.\nAnswer: v**2*(v - 12)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 3*g, -3*g = -4*t - 2 - 2. Do t and -22\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -5, -2, 3\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 1778, 4492, 8284, 13148?\n\"Answer: -s**3 + 548*s**2 - 7*s - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 4, k: 5, b: 1, z: 2, a: 1}. Give prob of sequence bke.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 95, 13, 3, 10, 4 in decreasing order.\nAnswer: 95, 13, 10, 4, 3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48004?\nAnswer: 2, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 615 - 4?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22216 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-16) + 2 - 855\/(-72). Suppose 5*i + 4*q = 145, -5*q - w = -5*i + 133. Let h = 183 - i. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -138?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, y: 4, t: 2, h: 1, l: 4}. What is prob of picking 2 t and 1 g?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 18*i - 3. What is z(16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162712*x*y**3 - 14*x*y**2 - 17*x - 6*y**3 + 93*y**2 + 361*y - 1 wrt x.\nAnswer: -162712*y**3 - 14*y**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 22*s + 50 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 83 + 7. Let d = -14 - i. Solve c + 0*c = -d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -2*b + 79 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87162.\nAnswer: 2, 3, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8700, 8697, 8694, 8691?\nAnswer: 8688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 2 x when four letters picked without replacement from qzzjzzzxsqxqjhxzzq.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-1*sqrt(6)*-6) - ((sqrt(11) + -1)*-1 - (sqrt(1100) + 0)))**2.\nAnswer: -67*sqrt(11)\/3 + 49415\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/9, -1495, -51, 0.3 in decreasing order.\nAnswer: 2, 0.3, -1\/9, -51, -1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ab9 (base 16) to base 8\nAnswer: 5271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36197.49 and -18976.\nAnswer: -55173.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2408372 divided by -3.\nAnswer: 2408372\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 4, d: 1, u: 3}. What is prob of picking 1 z and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12 - 91*r - 6 + 221*r - 8.\nAnswer: 130*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqdadfqhaqdfgaha. What is prob of picking 1 f and 2 h?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11206 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-585 - -601) + -1 + -61.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137060 - -23?\nAnswer: -137035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -873, -1746, -2619, -3492, -4365, -5238?\n\"Answer: -873*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.23 + -5.23. Let g = 7 + -2. Sort 0.4, f, 4, g.\nAnswer: f, 0.4, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -12939*t + 12938*t. Suppose -v = 4*v - 5, 0 = -3*w + 4*v + 5. Solve -5*z + 30 = w*y, 0*y + t = 4*y - 5*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 20, 2*t + 4 = d - 6. Is 7\/((-2)\/(d*-23)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.94 + 64.94. What is the nearest to 44\/3 in 0.5, 0.1, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 2*b - 2, 25 = -c + 11*b - 16*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423769575?\nAnswer: 3, 5, 251, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5\/3 - 236*x**4\/3 - 3112*x**3\/3 + 10792*x**2\/3 - 11284*x\/3 + 3844\/3 = 0. What is x?\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44\/13 (b) 2.3 (c) 0.0252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32364 divided by 5394.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 501702661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37355.\nAnswer: 5, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34234904?\nAnswer: 2, 11, 563, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 - 24*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhfnw. Give prob of picking 1 f and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 107, 107, 105, 101, 95, 87, 77?\n\"Answer: -o**2 + 3*o + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 0, o + 2*v = 7*v - 1. Let w(d) = d - 7. Let y be w(5). Let j = 3 - 7. Sort y, o, j in ascending order.\nAnswer: j, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*y + 85*y - 1272. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*y - 43, -3*u + 7*y = 5*y - 59. Let v(m) = m**3 - 17*m**2 + 9*m - 40. List the prime factors of v(u).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/700*-8*(-10)\/(-4). Put -3, 9, -0.2, n in decreasing order.\nAnswer: 9, n, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 - 2 + 2 + (-2*l**3 - 4*l**2 + 4*l**2)*(2 - 1 + 1) + 280*l**3 - 140*l**3 - 76*l**3.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -156, 5, -578.61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29180*p**3 - p**2 + 15*p - 3659225 wrt p.\nAnswer: -87540*p**2 - 2*p + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/19))**(1\/17)*(((d**0*d)\/d)\/d)**(-25) assuming d is positive.\nAnswer: d**(8093\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 = -1. Suppose 5*x - 37 = -0*x + 4*d, i = -d. What is the remainder when (x\/1)\/1 + -1 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36422566 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let l(c) be the third derivative of -c**4\/24 + 749*c**3\/3 - c**2 - 68*c - 15. Give l(o(i)).\nAnswer: -i**2 + 1498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-45)*130\/(-52).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 61*q**2 - 24*q**2 - 37*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**2 + 4*k + 8. Let c(z) = z**2 + z + 1. Suppose -3333*b = -3324*b + 54. Determine b*c(j) + p(j).\nAnswer: 5*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*5 + sqrt(10)*-2*-2)\/((sqrt(72)\/sqrt(3))\/sqrt(12)*1*-6).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 - -5.44. Let o = w - 6.16. What is o rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 949152?\nAnswer: 40813536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358112?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 11:33 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(4*(-2)\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6897\/165 + 2\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26243119)\/1126)\/(1*(-1)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 28*d - 77. Calculate x(30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l*l**1))\/(((l\/l**(1\/6))\/l)\/l*l))\/(l**(-1)\/l)**(4\/25))\/(((l*l*l**6*l)\/l)\/(l**(-6)\/l))**19 assuming l is positive.\nAnswer: l**(-42827\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w - 6 + 0*w**2 + w - w**2. Let f be a(4). Suppose 36*k - 21 = 33*k. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**2 + 3*p + 2. Let c be k(-1). Let x = c + -33. What is the remainder when 36 is divided by (x\/(-15))\/((-2)\/10*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 26, 21, 16, 11?\n\"Answer: -5*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*r - 225, -r - 227 = -0*l + 4*l. Let z = l + 83. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 37 + -25 + -11\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-8) - ((-85)\/40 - -2). Suppose 2\/7 + c*l - 2\/7*l**2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -3 + 8 - -11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495806, -991616, -1487426, -1983236, -2479046, -2974856?\nAnswer: -3470666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40093\/36 - -1112. What is the common denominator of n and 34\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.9? (a) -0.1 (b) 1\/11 (c) -2 (d) 5 (e) -425 (f) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2 - 18981*n + 514674 = 0.\nAnswer: -6354, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82164 and 0.01.\nAnswer: -82163.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 599878267 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v + 1. Let y(g) = -3*g**2 - 1 + g**2 + v. Let h(a) = -a + 3. Let c(i) = -i + 1. Let p(u) = -3*c(u) + h(u). What is p(y(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -21010 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 80. Suppose -6*w = -2*w + k. Let a be 1 + 0 + 0*6\/w. Solve a = -4*p - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6730517?\nAnswer: 1237, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 134*d**2 - 65*d - 70. What is g(-33)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 445, 2\/11, -5, -0.5, 3, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 2. Suppose -w - 4*z + 67 + 24 = 0, 0 = 2*w + a*z - 170. Suppose -y + 3*x = -7, -5*y = 2*x - w - 20. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46234218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let k be r(0). Suppose -220 = -5*f + 2*m + 3*m, k = 4*f + m - 181. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2 + 0*r**2 + 2\/3*r**3 - r. What is the derivative of v(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 12) to base 13.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 0.4 (c) 6\/11 (d) -9037\/3 (e) -5 (f) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-1)\/(-3))*460\/(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 17784*c = 17788*c - 118, -5*v + c + 92 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1893 = 1894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 2*g**2 + 1. Let a be r(4). Suppose 0*j + 3*j - 4*q - a = 0, -j - 2 = 3*q. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 575*q*w**3 + 2*q*w**2 - 4*w**3 - 35*w**2 - 9*w with respect to q.\nAnswer: 575*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t + 16, 0 = 2*u - 2*t + 2. Let j(i) = 8 + 6*i + 17 - 21 + i**2. Let q be j(u). Which is the closest to q? (a) 0.2 (b) -3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/2034 and -2\/8597007?\nAnswer: 1942923582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120323 is divided by 13367?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -16, -48, -104, -190, -312, -476?\n\"Answer: -u**3 - 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11511 = 36*j + 11439 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(40\/(-5)))\/(-11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 940, 1212, 1250, 976, 312, -820, -2498?\nAnswer: -4800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/24 - (-12)\/18. Let g = -19 - -12. Let s = -3 - g. Solve 0*y - s = n*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 56 = 12*g. Solve -m = 4*m + 15, -g*m = v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 3*c + c + (2 + 2 - 7)*(4 - 4 - 2*c))*(-1 + 3 + 0) to the form h*c + u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 28*s**2 + 4*s - 4. Is 14 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*i - 29, 0 = -0*r + 4*r + 4*i + 4. Let b = -3 + 7. Suppose 0 = -r*m + b*m + 35000. What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -49. What is the remainder when -3 + (375\/(-6))\/((-4)\/8) is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3971, -7934, -11893, -15848, -19799, -23746, -27689?\nAnswer: -31628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/29, 2\/5, 1\/9, 419?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 419017893 * 0.4\nAnswer: 167607157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 6*q + 1523. Give l(-33).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(605) + sqrt(605) + -4)*-5 - sqrt(605)) - -5*(sqrt(605) + 0 + sqrt(605) + 3)**2)*-4 + 2.\nAnswer: -48338 - 4092*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k**5 + 12*k**4 + 393*k**3 + 621*k**2 + 111*k - 120. Let f(i) = -i**5 - i**3 + i**2. Let g(c) = 9*f(c) - v(c). Let g(n) = 0. What is n?\nAnswer: -5, -1, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**4 - 1065*z**3 - 2*z**2 - 1230*z.\nAnswer: -72*z - 6390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-308)\/161 - (-10)\/115.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710034329.\nAnswer: 37, 2293, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a2 (base 14) to base 4.\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 2*d - 8, -6 = 3*d. What is the remainder when 11 is divided by -1*3 + (x\/(-6) - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 190*s - 974. Give t(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178806 = 128*b - 165750 for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-146130)\/(-4))*4\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3908254 divided by 3908254.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from eekkeykkeekkek?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216030 - 3041?\nAnswer: -222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*-6*3. Let t be 7 - 4 - (0 + d). Find the common denominator of 2 - (-146)\/t - -2 and -91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d - 18*q + 16*q, -3*d + 5 = 4*q. Solve -2*u + d*u - 5*l = 30, -4*u = -l - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -14, -3, -2.\nAnswer: -14, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k**3 - 3*k**2 + 3*k - 5. Let p(d) = -d**3 - d**2 + d - 1. Calculate -b(j) + 3*p(j).\nAnswer: -11*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5598.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 108636*j**2 + 108646*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650 (base 9) to base 12.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o - 8 = 0. Solve -4*b + 10 = -o*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a*s**2*x + 17*a*s*x**3 - a*s + 4*s**2*x**3 - s**2*x + s*x**2 - 3*x**3 wrt x.\nAnswer: 102*a*s + 24*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 15*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -27. Let z = 34 + -33. Suppose 4*w + 1194 = 2*g, t = -3*w - 14 - z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5565*g**2 + 12975*g. Let d(k) = -428*k**2 + 998*k. Let w(f) = -40*d(f) + 3*m(f). Find the second derivative of w(o) wrt o.\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 35, 15733?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506042?\nAnswer: 2, 3, 31, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*s - 214 = 0, -s - 132 = -m - 15. Suppose 5*o = o + m. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 37*p + 32*p = 25, p = -6. Let o be 1 + 0 + (2 - 5). Let s be 0 - (f - 14099997) - 8\/o. What is s rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -39 + 12. Calculate the greatest common divisor of 99 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1166*o. Let d(r) = r**2. Calculate d(n(h)).\nAnswer: 1359556*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*f**3 + 212*f**2 - 160*f + 16.\nAnswer: -4*(f - 2)*(f - 1)*(17*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(4\/8)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195867177*g**3 + 398622382*g**3 + 398622402*g**3 + 398622396*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*f + 18, -2*f + 6 = 4*l - 3*f. Suppose -2*v - 8 = 0, 30 = 4*n + n - 5*v. Suppose -j = -4*z - z - 27, -l*z = n*j + 6. Sort z, -1, 2.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6)*546\/52)\/(4\/(-8)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 4*g. Let v(p) = -p**2. Let y(d) = -u(d) - 2*v(d). Find the second derivative of y(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815092 + n**2 - 815092.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*k + 27 = 9, -22*k - 89 = -3*n + 27*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*(1*sqrt(1700) + 4) - (2*(sqrt(1700) + -1 - sqrt(1700)) + sqrt(1700) - 3*(sqrt(1700) - (sqrt(1700)*-1 - sqrt(1700) - sqrt(1700))))) + -1)**2.\nAnswer: -2300*sqrt(17) + 43025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-1\/4)*w*w))**(1\/27) assuming w is positive.\nAnswer: w**(-7\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1072.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-6)))\/d**(1\/19)*(d\/(d*d**(-8)*d*d)*d)**(-3\/10) assuming d is positive.\nAnswer: d**(731\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 11. Let b be k(2). Calculate the greatest common factor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*j + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*g - 14 - 2, 0 = 2*g + 3*f - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 993919967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a3223a (base 11) to base 13\nAnswer: 4604ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (-3 + 12) - -2 - (-7 + 17)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/50647 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1833 + 771*t - 1833 - 2*t - 4 + 4 + (1 + 0 + 1)*(t - 3*t + 0*t) + 3 - 3 - t to the form j*t + v and give j.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 154 + 38 + 32 + 30*m + 49 + 42. What is x(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**5*d)*d**(-1\/7)\/d)\/(d**4*d\/(d**(-8)*d))*(d**(-2))**(2\/39)\/(((d**5\/d)\/d)\/(d\/d**(-4))) assuming d is positive.\nAnswer: d**(-1978\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1123, -1129, -1131, -1123, -1099, -1053, -979?\n\"Answer: r**3 - 4*r**2 - r - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -1)*4\/6. Suppose 0 = v*d + d - 21. What is the smallest common multiple of 8 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-41 + 70) - 20?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 4. Let c = -2.29 - -2.39. What is the nearest to -0.2 in c, -2, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1263 and 3368?\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 - -290. Suppose -y*n = -12*n + 301. What are the prime factors of n?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5\/6, 4176 in ascending order.\nAnswer: -5\/6, -0.2, 4176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 a, and 1 x when four letters picked without replacement from gxahhnaananw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20) - 1\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2940 = -4*t + 2992, -4*t + 68 = x for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/72*87*24*((-35)\/(-5))\/14?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-60))\/((-3)\/12). Put 13, 1, x in ascending order.\nAnswer: x, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 - 3626\nAnswer: -3622.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2617)\/(-15) + 1\/5 - 0. Let n = -90169\/30 - -17005\/6. Let m = n + h. Which is smaller: -1\/2 or m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*r = 50, -5*p = -0*p + 5*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -3, 2680.\nAnswer: -3, 2, 3, 2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699819902.\nAnswer: 2, 73, 211, 22717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -59398*(-2)\/30 - (-38)\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 223576793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 12 = 4*c. What is the second derivative of -7*q + 72*q**c - 72*q**3 - 10*q**5 wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-6)\/2 + 4). Let u(n) be the third derivative of -1\/24*n**4 + 5*n**2 + 0 + 4\/3*n**3 + 0*n. What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3970, 5648, 7326, 9004?\n\"Answer: 1678*u + 2292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*o - 25 = 0, -o + 15 = 3*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z + 4*z + 4*z - 7*z. Let y(v) = v**2. What is y(n(d))?\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - o - 6. What is q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-45)\/20)\/((-3)\/14))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69856 divided by 296.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180, -355, -522, -675, -808, -915, -990?\n\"Answer: k**3 - 2*k**2 - 176*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 6*f + 10. Let k be g(-8). Let n be (8\/(-3))\/(4\/k). Sort n, 1, 3 in decreasing order.\nAnswer: n, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 120 = 21*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 2835.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + c)*(-17 - 19 - 7).\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120347143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0 = 20. Suppose 0 = l*o + o - 90. What is the lowest common multiple of 8 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -61*g - 3233. Let s be q(-53). Let i(c) = 7*c + 17. Let b(x) = -4*x - 8. Let r(j) = -5*b(j) - 3*i(j). Calculate r(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -6)\/((-6)\/(-6)). Let t be 0\/y - (16 - 51). Which is greater: t or 34?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.05122 - 9.138. Let u = -2.08028 - d. Let g = -2 - u. What is g rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293 - 140 - 153 + 3014*o to the form q + j*o and give j.\nAnswer: 3014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -1516, -3417, -6080, -9505?\nAnswer: -13692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -28*q**5\/5 + 35*q**4\/4 + q**3\/3 - q**2 + 7146*q. Find the third derivative of a(r) wrt r.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*((sqrt(1331)*-1 + -3)*5 - (4 + sqrt(1331) + (sqrt(1331) - (sqrt(1331)*2 + sqrt(1331) + -3)))) + -5)**2.\nAnswer: 152856*sqrt(11) + 1762225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4011817 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:46 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.893 + -0.107. Sort 1\/5, -2\/5, -3, j.\nAnswer: -3, j, -2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 2*d + 8. Let k(r) = r**3 + 13*r**2 + 6*r + 27. Determine 2*k(z) - 7*w(z).\nAnswer: 2*z**3 - 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110695770.\nAnswer: 2, 3, 5, 619, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*u + 5*u**2 - 120 - 36*u**2 + 3*u**3 + 70*u**2.\nAnswer: 3*(u - 1)*(u + 4)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1883*q - 22644. Determine j(-12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(10)\/sqrt(5)) + 2 + sqrt(19) + 5)**2.\nAnswer: 28*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s\/((s\/(s*s**(-11\/6))*s)\/s)))*s)\/s*s)\/s)**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammghgttmyg. What is prob of picking 1 h, 1 a, and 1 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let l(y) = y. Let p(w) = -1. Let d(r) = -l(r) - p(r). Let i(f) = -7*f**2 + 2*f - 2. Let g(q) = -2*d(q) - i(q). Give k(g(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 0.4, 173, 0.0289, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 5*m)*(m**3 - m**3 - 4*m**3) + 333*m**4 + 2383*m - 2383*m as r*m**3 + w + y*m**4 + t*m**2 + k*m and give y.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 + 2406*j**3 - 462408*j**2 - 8169366*j + 28605051 = 0.\nAnswer: -19, 3, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 6*m**2 - 7*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 18*h + 55. Let x be p(7). Solve -24*r = -x*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/16 of a day?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 8*m + 26 = -5*d, -3*m + 2*d = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40163, 160694, 361589, 642848, 1004471?\n\"Answer: 40182*n**2 - 15*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -15. Let g be (-10)\/28*(-1 + h). Factor -4\/7*f + 0 - 8\/7*f**3 + 2\/7*f**4 + g*f**2.\nAnswer: 2*f*(f - 2)*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793, -773, -747, -715, -677, -633?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556393.738 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -4*j**2 + 0*j - j**3 + 1\/4*j**5 + 0 + 3\/8*j**4. Let o(c) = 0. What is c?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 8*q**2 - 10*q + 13. Let f be k(-6). Is 7 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56440413?\nAnswer: 3, 23, 272659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**3)**(-5)\/((s**9*s**(2\/3))\/(s**(4\/9)*s*(s\/s**(-6))\/s)) assuming s is positive.\nAnswer: s**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5394*n + 919*n - 40579 - 707 - 91287 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k - 13*k - 48*k + 0 + 7 - 7.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48817450*w**3 + 24407278*w**3 + 24410179*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 13. Suppose 0 = 2*x - 3*z - 68, 3*x + 68 = 5*x + u*z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3 - 591*s - 1175*s - 838*s. Let c be m(-3). Let v = c - 78053\/10. Find the common denominator of -69\/2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10580)\/(-176157)*(-21)\/(-70)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 963\/535*30\/9. Suppose -3*t = 5*p - 4*t - 13, 0 = -4*p - 2*t + 2. Suppose -p*q = -8 - 2. Is q bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-10) + 14\/4. Suppose 5*j + g = 244, g - 1 = -q. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 2 + 2 - 257*j**3 + 247*j**3 to the form r*j**3 + u*j**2 + t*j + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*o - 5*o + 21, 2*c = o - 7. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73640299, -73640301, -73640305, -73640311?\n\"Answer: -l**2 + l - 73640299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314 and 807137?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = u, u - 3 = -4*d + 16. Let b(c) = -2*c**2 - 2*c + 26. Let i be b(-5). Let n = i - -16. Solve -8 = n*m - 2*y, m = 2*y - 6*y - d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l - 220. Suppose 0 = -5*v + y - l - 57, -v = 5*y + 41. Let o = -58 - v. Is -3 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**4\/12 - 5*v**3\/6 - 2*v**2. Suppose -4*n + 7 = -3*n. Let z be o(n). What is the highest common divisor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/3 - 32*x**2\/3 + 20*x\/3 + 56\/3.\nAnswer: 4*(x - 7)*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixdadfm. Give prob of sequence imdf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -103. What is the second smallest value in h, 2\/11, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 3*v + 2. Let u be p(-4). Let i = 72 + u. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141456 = 1333*z - 1361*z. List the prime factors of z.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:05 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20238\/(-6746)*(11\/(-27))\/(-1).\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 9*z**5 - 30*z**4 - 105*z**3 + 90*z**2 + 276*z + 120 = 0?\nAnswer: -2, -1, -2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 36 + 184. Let j = -27 - v. Let w be 40 + 1 - (5 + -6). What is the greatest common divisor of j and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.8, 3, -0.2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 178802*z**4\/5 - 528034*z**3\/5 - 25018*z**2\/5 - 294*z\/5 = 0.\nAnswer: -7\/299, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Suppose -2*j + 4*j = -k + w, 4*k - 5*j = 8. Let u(t) = -t - t - 9*t**k + 5*t - 9 - 2*t + t**3. Calculate u(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18796)\/5080 - 1*(-12)\/(-40)) + 142.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**31*h**(4\/7))\/(((h**(-16)\/h)\/h)\/(h*h\/(((h\/h**(1\/3))\/h)\/h*h))) assuming h is positive.\nAnswer: h**(1090\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, -11, -46, -115, -230?\n\"Answer: -2*z**3 + z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0408 + 0.8592. Sort 14, l, -1\/2, 5\/3, 3 in ascending order.\nAnswer: -1\/2, l, 5\/3, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/28 - 1\/4. Let p(y) = -558*y - 3343. Let f be p(-6). Sort f, c, -2\/15 in decreasing order.\nAnswer: f, c, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -13*a**6\/30 - 3*a**3\/2 - 4*a - 11. Let v(x) be the first derivative of z(x). What is the second derivative of v(d) wrt d?\nAnswer: -156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 12*i + 51. Determine r(-12).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1483.9 + 1484. What is the closest to -1 in -0.05, -9, l, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/4 - 8943*x**3\/2 + 71577*x**2\/4 - 22371*x + 8949 = 0. Calculate x.\nAnswer: -5966, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84376340926947*i**2 - 127280232*i + 48 = 0. What is i?\nAnswer: 4\/5303343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 3\/16, -16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(-25)*(-1)\/5*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021331203 (base 4) in base 8?\nAnswer: -21117543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14170 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k + 15000\/7*k**2 + 0 + 206\/7*k**4 - 800*k**3 - 2\/7*k**5 = 0.\nAnswer: 0, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 4408653.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6.5. Let g = 1.5 + m. Do 0 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 136083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 41*u + 18 = 0. Solve -20*f**2 + 2\/3*f + 18*f**u + 4\/3 = 0.\nAnswer: -2\/9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 14\/19 (c) 2 (d) 0 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.9 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + -3 + (-57)\/19. Sort -17, 3, z, 5 in descending order.\nAnswer: 5, 3, z, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.6 - 84.6. Let p = g + 71.8. Let d = -3.4 - -3. Which is the closest to 1? (a) d (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/255*10\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 411011, -3.2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*d = 29, 0*t + 5*d = -3*t - 17. Suppose 0 = -3*q + 7*q - 4*p - 4, 5*p = 15. Let l = t + q. Is -10 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from {f: 2, m: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 131, -5.\nAnswer: -5, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*r**2 + 731*r**2 - 362*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.24 + 29. What is j rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/3, -2, 1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (11 + 11)) + (3 - 7) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1969800 and 41\/1200.\nAnswer: 3939600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2) + ((-217)\/(-14) - 4). Suppose 12 = -4*m + l*m. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117 + -a5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9345085.\nAnswer: 5, 443, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 + 45 = 3*z. Suppose -j = -c - c + 146, 3*c - 4*j - z = 0. Suppose -6*d + 15 = -c. Which is bigger: d or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/14814860 and -125\/426?\nAnswer: 44444580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.11 and 0.22.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1, -5, -1\/25 in increasing order.\nAnswer: -5, -1\/25, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -82*f - 96 + 77 + 29. Let d(k) = 2*k. What is x(d(b))?\nAnswer: -164*b + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:31 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66084, 66169, 66398, 66843, 67576?\n\"Answer: 12*l**3 + l + 66071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474.112 + -10170.\nAnswer: -9695.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 11*r + 3. Let x be g(3). Are 1\/89 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23110 - 10?\nAnswer: 23100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27006 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + x + 7, -4*x - 42 = -2*t - 44 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -2\/11, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 31 = -44. Suppose 0*o - 14 = 2*o - 4*d, -3*d + 12 = -o. Suppose -7*w + 56 = -o*w. Calculate the remainder when y is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-724)\/672 + 10\/35 + (-80)\/(-96) and (31\/(-18))\/(10\/6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10829 is divided by 820.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204370656?\nAnswer: 2, 3, 7, 29, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 0.4, 0.5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 >= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/6 + (1 - (-4)\/(-8)). Which is smaller: y or 313?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12264)\/(-612) - -6 - 1066\/41?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*y + 170*y + 9. Put y, -5, -2 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1611*k**4 - 535?\nAnswer: -6444*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243449 + 486978 - 243529 - 8*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v. Let w = 312 - 305. Let t(a) be the second derivative of 1\/12*a**4 + 0*a**3 + 0*a**2 + w*a + 0. What is i(t(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**3\/6 + 5*u**2 + 2*u. Let o be 1\/2 - (-35)\/14. Let f(z) = o + 5 - 3 - z**2. Calculate -3*f(i) + 15*n(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(5\/2)*i*i*(i\/(i\/(i*i*i*i**(-15)*i*i)))\/i*i**(1\/2)\/i**(-17))**1 assuming i is positive.\nAnswer: i**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-32))\/(3\/4). Let k be d*4\/16*4. Suppose -u = k, -3*u + 0 = 5*a - 17. Solve -6 = -2*l + a*r, -l - 4 = -2*l + 3*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1401.6 - 1401.1. What is the closest to -1 in 5, -1\/20, c?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (172\/8084)\/(3003\/3619)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1200471064 to the nearest integer?\nAnswer: 34648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32818 = -8290*d - 58606 - 57112 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6 and 25\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 3. Let a(j) = j - 1. Let g(l) = -17*a(l) + 6*r(l). Let o be g(3). Suppose -6*i = 2*i - o*i. Which is smaller: i or 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {b: 8, h: 3, r: 5, e: 1, y: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3809 - 2485. What are the prime factors of r?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + (-2)\/5. Suppose 0*t + t + 34 = p. Let q = t - -56. What is the highest common divisor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - 2*p**2)*(10 - 32 + 35)*(-8 - 5 - 2).\nAnswer: 390*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 5. Let q(y) be the first derivative of -1 + 0*y - 2\/3*y**3 + 3\/2*y**2. Give q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by -5314.\nAnswer: 245\/5314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 228*j**2 + 1018*j + 350. What is n(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 160436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-19)\/4)\/(-7 - 12204\/(-1744))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2146 divided by -2146.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + z**2 - 2*z**2 + 12*z - 5*z**2 in the form j*z + o*z**2 + f and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose 4*w + 2*u + 4 = -8, 4*u = -5*w - 15. Let q be (-4 + 4)\/(w - -1). Solve -r = -q*v - v + 6, b*v = 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:29 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 39. Let h be k(13). What is the closest to 0 in -4, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or -25064131?\nAnswer: -25064131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 506 = 4*g, 3*g - 478 = 2*h - 1450. Calculate the remainder when h is divided by 125.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.51471 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 = 4*o - 74*o - 62*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 71, 72, 73, 74?\n\"Answer: b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9056 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/(-12) - (-50148)\/17280 and 149\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97137398 to the nearest 100000.\nAnswer: -97100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from {v: 3, e: 17}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + 5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 1. Let j be d(11). Let c = -23 + j. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 - -46 - (-4 - (-40 - 7))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166783*l**6 - 2*l**5 - 16*l**3 + 3*l**2 + 16201*l - 2 wrt l.\nAnswer: 20013960*l**3 - 120*l**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5221a + -2c?\nAnswer: b521cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 4 = 66 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12906961 is divided by 2262.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -z + w + 6, 0 = -5*z - 4*w - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**5\/60 + k**4\/12 - 2*k**3 - 5*k. Let f(t) be the second derivative of l(t). Determine f(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 262707118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 23225 = y, -5*y - 4*q = -8*q - 116127. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6094 is divided by 1156.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -4656.79, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6300 by 4.\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + g + 1. Let d(o) = -2*o**3 + o**2 - 5*o - 3. Let v(a) = -d(a) - 3*s(a). Suppose 0 = r + 2*r - 3*q + 12, -3*q + 6 = 0. Calculate v(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50218 is divided by 15225?\nAnswer: 4543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*y**2 + 333*j**2*y**2 + 40400*j**2*y + j*y**2 - 227*j*y - 2*j + 3*y**2 - 2*y + 69 wrt j?\nAnswer: -6*j*y**2 + 666*y**2 + 80800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 42) + 108 + -75 - -64.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*v - 2 - 23, -4*v = 20. What is the remainder when 20 is divided by (o\/(-2))\/(4\/44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 50 and -0.13121385443.\nAnswer: 49.86878614557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5 - ((39 - 49) + 24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.453665595 take away -0.0002?\nAnswer: 42.453865595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 6494*k - k**2 + k**3 + 0 - 4 + 6494*k. Suppose 5*a = b + 1 - 14, 3*b = -a - 9. Calculate j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3210 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6032.9278 - -6033. What is the nearest to -0.1 in 1, 1\/11, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57449220.\nAnswer: 2, 3, 5, 97, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 2. Let a = -3 + d. Suppose 6*q = 3*q - a*v + 102, 0 = -4*q + 5*v + 118. Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31088928 and 21373638?\nAnswer: 341978208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*x + w + 3*w, -10 = x + 4*w. Let j(c) = 4*c**2 - 3*c**2 - x*c**2 + 3*c**2. Let b(t) = -208*t**2. Give b(j(p)).\nAnswer: -832*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(11)*3))**2 - (sqrt(27)*-4)**2.\nAnswer: -1295\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1716 divided by 286\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 4:45 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -4.4. Let n = -4 - o. Let r = -3 + 1. Which is the nearest to 0.1? (a) 5\/2 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - (16 + -1 + 1 - (7535 - 7530))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 126\/5 in -0.5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64942439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*q**2\/6 - q\/6 + 1 = 0. What is q?\nAnswer: -3\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 22?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*v + 10, s + 15 = -s + 3*v. Suppose 6*r - 228 + 30 = s. Let w = 44 - 22. What is the remainder when r is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 50*w**2 - 8*w - 60. Is v(-6) a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m + 3*m)*(-32 + 15 - 45)*(0 + 2 - 4) as p*m + f and give p.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:05 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(125) - (-5 + -3*sqrt(125) + sqrt(125)))**2.\nAnswer: 270*sqrt(5) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89501315 and 4105.\nAnswer: 4105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -7. Calculate the remainder when 61 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 252, -13, 5.\nAnswer: -13, 3, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 53088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -9 in descending order.\nAnswer: 5, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 63. Let h be (-14)\/(-8) + 6\/(-8). Let o be h - (2\/1 - 2). Solve j*r + o = q + 3, -2*q = r + 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000132460703 rounded to seven decimal places?\nAnswer: -0.0001325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-6*(-6)\/18 - 965). Let v = z - -28. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1\/(1\/(-2)). Let v = -4 + 9. Suppose 2518 = 23*n + 2495. What is the closest to u in n, -3\/5, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceqqeeqlleele. What is prob of picking 1 l and 1 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13546.9449ns?\nAnswer: 0.00000000015679334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 494 and 2515201?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-254492)\/63623)\/((8\/(-6)*2)\/(-46))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let j be -2 - ((-26)\/o)\/2. Suppose 5*h - j - 4 = 0. Solve -h*d = -d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 40*b + 27*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 4*l - 2. Let c(f) = 11*f - 5*f**2 + 1588 - 1583 + 0*f**2. Let v(d) = -d**2 - 7*d + 8. Let q be v(-7). Determine q*m(y) + 3*c(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53919780 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 46. Let x be k(-15). What is the tens digit of (-264)\/(-3)*1\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 8*m**2 - 3*m - 24. Let c be l(-8). Suppose 4*t + 0*t - 36 = 0. Suppose -2*w = -1 - t. Put -1, c, w in increasing order.\nAnswer: -1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 15348.\nAnswer: 260916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = t. Let w be 2 - (-2575602 + 3) - 6\/t. Let o = 1575604 - w. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1111?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-13 + 10 - 0 - (1 - -14)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*d + 46, 0 = -d - 2 + 6. Solve 0 = -5*m - r, 4*q - 45 + 19 = 3*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 18*g**2 + 2*g - 11. Let u be t(9). Let j(h) = -3 - h**2 + 2*h**2 - 3 + u + h**2. Let b(l) = 3*l. Determine b(j(m)).\nAnswer: 6*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + b - 5 = -2, -2*q + 9 = 3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.058 in 0.12, 262, -28, -0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -2. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/216*3)\/((-429)\/572)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.564 - -1.6. Let t = -0.0035 - -0.8875. Let a = w + t. Round a to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2275 - 22348*j + 2275.\nAnswer: -22348*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/14 + (0\/4 - -6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042992152 to seven decimal places.\nAnswer: 0.0004299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 13*g - 8. Let b be y(-5). What is the closest to -0.2 in b, 5.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 275*k - 227*k + 480 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001838196 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*a = 45073 - 48197 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 5*x**2 - 2*x**2 + (1 - 2*x - 1)*(2*x - 3*x + 4*x))*(0 + 1 - 3).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1954274, 3908548, 5862822?\n\"Answer: 1954274*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h + 211 = 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128921 and -0.1.\nAnswer: -12892.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 35*q**2 + 23*q + 1943. What is x(37)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74 take away 10.1?\nAnswer: -10.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/(-14) - (-24)\/(-56). Suppose q + 2*g = 10, 5*q = u*g - 3*g + 39. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85.8 - -87. Let m = a - 1.20000049. Round m to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(14\/(-4)))\/(6\/(-14))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 9284?\nAnswer: 927b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619, -1226, -1819, -2392, -2939, -3454, -3931, -4364?\nAnswer: -4747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.88 * -24\nAnswer: -21.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((6 - -1) + -2 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 727505.97.\nAnswer: 727510.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 3268.\nAnswer: 45752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312 is divided by 233?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2912384, 11649502, 26211364, 46597970, 72809320, 104845414?\n\"Answer: 2912372*c**2 + 2*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 231672\/(-27580)*(-2)\/(-6)*-2\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 26*q + 16*q + 7*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 26*s. Let c(n) = -572 + 277 + 16*n**2 + 295. Give j(c(w)).\nAnswer: 416*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y - 659*y**2 - 33 + 330*y**2 + 16 + 330*y**2 as s + a*y**2 + j*y and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h + 0*h - h**2 + 6*h**2. Suppose -c + 31 - 53 = 0. Let f = c + 27. Calculate p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2384201102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 31998*o + 768080\/3.\nAnswer: -2*(o - 48005)*(o + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 11*d + 3. What are the prime factors of y(9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(4\/5)*q)\/q))\/q)\/(q*(q\/(q**(-22\/7)*q))\/q) assuming q is positive.\nAnswer: q**(-138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1188\/(-30))\/(-9) - 5)\/(-2)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148 greater than 5148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 4*p - 61. Let i be a(-26). List the prime factors of i\/62*(1*4 + -2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, -4, -2\/19, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*r = -49, -5*j + 3*r = -0*r - 64. Suppose 3*u + 15 = 0, 5*u + j = 2*t - 34. What is the remainder when 27 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12713618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(567\/18))\/(8*(-12)\/480).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74331 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 - 2829*o - 11303. Calculate b(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let n = -59 - -65. Let h be (10\/n - 1)\/((-34)\/(-102)). Let o(m) = 68 - 133 + 69 - h*m**2. Determine i(o(v)).\nAnswer: 2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 not equal to -1\/630727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-88))\/((-880)\/(-968)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 248 + 3018?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.08558774+-16581\nAnswer: -16581.08558774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 643719 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24903 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 - 294*w**2 + 310*w + 12. List the prime factors of k(-75).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Suppose b + 0*b + 3 = n. Let y = b + 3. Solve q = -2 - y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980057839?\nAnswer: 3, 11, 137, 659159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5781?\nAnswer: 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 - 30 = 4*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/17 - (-201072)\/(-1707905). Let t = 842321\/4762890 + z. Calculate the common denominator of t and -29\/6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 7*s - 6. Suppose 12 = -4*c - 12. Let g be i(c). Let u = 15 + g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-570)*75 - ((-1800)\/(-42) - 1\/(-7))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181035 and 972?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75836, -151688, -227538, -303386, -379232?\n\"Answer: k**2 - 75855*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*i**5 - 3*i**4 - 5\/4*i**3 + 0 - i + 3*i**2 = 0. What is i?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 20 = 7*b - 5*i, 3*i + 12 = 0. Let n be 6\/(-18)*-1*(-2)\/(-1). What is the third smallest value in -1.5, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 1382, 3170, 5682, 8918, 12878?\nAnswer: 17562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(0 - -3). Solve -d*s - 9 = -3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2025331798, 2025331800, 2025331802, 2025331804, 2025331806?\n\"Answer: 2*d + 2025331796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 - x - 1. Let j be v(6). Let a = 2207\/9 - j. Calculate the common denominator of a and -71\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = 6*d + 20*d + 4*s - 61, 22 = -2*d - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46412023 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001000110 - -101000?\nAnswer: 1011001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by 85?\nAnswer: -91\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1838 * 0.0438\nAnswer: 80.5044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*d + 26 = 0, -d - 14 - 11 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31458095 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 17 = 3*a - 12, a - 732 = 4*u - 719 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (-47 - (-62 - 4))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*o - 87069 + 58683 = 0 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from ateva?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooq when three letters picked without replacement from abawooqweobbowbebb.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2 + 3 + -2). Suppose -4*k = -b, -1076*b + 3*k = -1076*b + 3. Solve -s*v + 3*a - 15 = a, -40 = 4*v + b*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 379 in 1\/4, -0.08, -2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(49)*-2 + sqrt(49)) + sqrt(49))\/(sqrt(7)*1*5).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 1\/6*z**3 + 3*z + 0*z**4 + 0*z**2 + 0 - 1\/20*z**5. Calculate f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 19 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 1. Let l = -3086 + 3089. Put q, 40, l in increasing order.\nAnswer: q, l, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.4 - 165.6. Let i = k + 200. Which is the closest to -2\/7? (a) i (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56053395 is divided by 1148.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 0.8 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 6*g + 2*g = 11 - 5, 0 = -2*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140500 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = 1. Suppose h*k = k + 4. Solve 0 = 3*c - 0*l + k*l + 23, 11 = -c - 3*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-20 + 11 - 9) - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (6 + -10 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.19 - 0.19. Let x = -129\/476 + -1\/68. Which is the closest to x? (a) p (b) 5\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001011001 (base 2) in base 6?\nAnswer: -11305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 17, -4, 28, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756078 is divided by 1040?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.1282 + 0.0482. Let o = i - -13. Let n = -15 - -15. Which is the nearest to o? (a) n (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 53737?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3540 = -35*w + 25*w. What is the first derivative of -w*k - 122 - 11 - 59 + 26 + 143*k wrt k?\nAnswer: -211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/(((w*w\/w**(-2\/9)*w)\/w)\/w))**49 assuming w is positive.\nAnswer: w**(-3185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9889 and -0.5?\nAnswer: 9889.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1409143536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (31 - 9)) + 11 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68134 and 6669?\nAnswer: 23915034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvxvyvxvvxvpvxxxvv. Give prob of picking 1 p and 1 y.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.8. Let s = c - -0.1. Do s and -0.1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k*k*k**3\/k*k*k))*k)**25*(k*k\/(k**(-1)\/k))**(-25))**(13\/7) assuming k is positive.\nAnswer: k**(1300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*a = -191*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.9 + -37.9. Is g at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 3*w + 177 = -17*u, 2*w - 106 = -3*u. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(3\/7)*y*y))\/y)\/((y**5*y)\/y*y) assuming y is positive.\nAnswer: y**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29182 and -941.\nAnswer: 27460262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1063*i*o**2 + 303*i*o - 2*i + 268*o**2 + 3743*o with respect to i.\nAnswer: -1063*o**2 + 303*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8471861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 100 = 5*u. Suppose 0 = 4*z + 1 - u. Solve 3*t + 27 = -3*a, -2*t + 2*a = 2*t + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -302959.\nAnswer: 13\/302959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j + 9. Let q(n) = 19*n + 18. Let f(s) = 2*q(s) - 5*y(s). Differentiate f(o) wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*(2 + sqrt(4)\/sqrt(2)*-1))**2 + 4 + 0).\nAnswer: -24*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1290.6 + -1423. Let f = p + 132. Which is greater: f or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/(-14) - (-2)\/(-7). Let n(x) = -x**3 - 5*x**2 - 5*x - 2. Let c be n(l). Suppose -c*b + 51 = -1. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 5253 = -5*j - 5238, 2*f = 24*j + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 72 = -n. Let q = 10 + n. Is q at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3 + q + 0 + 0*q - 2. Let j be w(-3). Let d(o) = -3*o**3 - o**2 + 2*o. What is d(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 + l**3\/2 - 7*l**2\/2 - 4*l. Calculate the remainder when 7 is divided by j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*u - 1 = 0, u + 9 = -2*x + 14. Suppose 3*s = 4*s + 1. Let q = 9 + s. Solve -5 - 11 = 2*n + 5*g, 4*n = x*g - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-105))\/(((-11)\/55)\/(2\/(-3)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 71*s + 856. Let y(p) = 16*p + 6. Let j(z) = -i(z) - 4*y(z). Factor j(q).\nAnswer: -5*(q + 11)*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4*4)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 9 + 11, -4*h - 12*a + 8*a = -48 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/3)\/((-3)\/(-9)). Let h be 2\/(-5) + 56\/y. Let o = 10 + h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 65 = 0, 8*i - o + 53 = 12*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -9.541 (c) 0.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 110*t - 718. What is j(-103)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (922 + -1002)\/((245\/(-2))\/(-7)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let c(q) = -3*q**b - 21*q**3 - 9*q**2 - 11*q**3. Let y(p) = 115*p**2 - 13*p**3 + 74*p**2 - 194*p**2. Give -5*c(s) + 12*y(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*p - 29*p - 26*p + 38846. What are the prime factors of p?\nAnswer: 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1430501 (base 6) to base 11.\nAnswer: 56530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + 39884?\nAnswer: 39849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-j**4 + 7*j**4 + 2*j**4) + 4*j**4 - 4*j**4 + 3*j**4 as c*j**3 + b*j**4 + k + w*j**2 + n*j and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33790662 + -18285002. Let u = -3318203437\/214 + h. Let m = u - -4\/107. Calculate the common denominator of m and -133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-140)\/(-6). Suppose 0*j - 4*j + a = 0. Let w = 11 - j. Solve v = w*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.1. Let p = 0.03 - 0.01. Let v = 0.98 + p. What is the nearest to 0 in -3, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 4*j)*(-9*j**3 + 13*j**4 + 9*j**3) - 4*j**5 + 4*j**5 + 2*j**5.\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.145952 to 1 decimal place.\nAnswer: -199.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*n + 1729 = 48*o - 52*o, 65 = 5*n + 3*o for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5526 = 34*q - 25*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49\/2 - -25. Let t(w) be the first derivative of -2*w**3 - 2*w - s*w**4 + 2 - 3*w**2. Let t(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 46. Let w = r - -86. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15888951 is divided by 17403?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 239188*y**3 + 32849*y.\nAnswer: 1435128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 + 27*d**2 + 2 - 6.\nAnswer: 48*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1\/4 (c) 7.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3279*u. Let b(t) = 4198*t**2 + 12*t. Calculate b(g(n)).\nAnswer: 45136228518*n**2 - 39348*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/3)\/(-6))\/((-42)\/(-4)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkkvpw. What is prob of picking 1 k, 1 w, and 2 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5218723808 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Suppose -16 = 6*p - c*p. Let o = p + 12. Is o at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6460 (base 11) in base 14?\nAnswer: -317a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 921658*o. Let h(w) = 2*w. Give h(y(d)).\nAnswer: 1843316*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -346b12 (base 12) to base 2\nAnswer: -11001101011010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 5*l + 6. Let k(g) = -g**2 + 0*g**2 + 24 - g**3 - 2*g - 30. Let r be k(0). Give s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263858958 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*j = 288222 - 284960 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.87 + -0.13. Let z = u - -36. Let f = z - -7.00000109. Round f to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479266.1 centuries in decades?\nAnswer: 4792661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1.98. Let z = y - -2.02. Let r = z - 2.5. Put 4, r, -0.2 in decreasing order.\nAnswer: 4, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**7*t)**(-2\/7) assuming t is positive.\nAnswer: t**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**3 + 7*a**2 + 10*a - 4. Let x(z) = 5*z**3 - 6*z**2 - 9*z + 4. Let p(v) = 6*s(v) + 7*x(v). Find the first derivative of p(o) wrt o.\nAnswer: 15*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/10 + j**4\/12 + 2*j**2 + j. Let s(q) = -5*q**3 - q**2 + 2 + 4*q**3 + 3*q**3 - 7 + q**3. Determine -5*p(l) - 4*s(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-2 + -13 + (6 - -3) - 21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*o - 16, 29 = 5*o - b + 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10215 + -8633. What are the prime factors of v?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45864689.2 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71774 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10668525 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*-8464744\nAnswer: 33858976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1332 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4810.4 and 1577.\nAnswer: -7586000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 8129160*p - 40645675 = 0. Calculate p.\nAnswer: 5, 1625827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let r(d) = d**2 - 18846*d. Give r(m(k)).\nAnswer: k**2 + 18846*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -1, 1, -2 in decreasing order.\nAnswer: 70, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0 + 2*k)*(-k - 2*k - k).\nAnswer: -8*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, 2\/7, 1\/11, 0.4 in decreasing order.\nAnswer: 0.4, 2\/7, 1\/11, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5001 = 336*n + 24825 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xegcv. What is prob of sequence ce?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 2*v**7\/105 + 31*v**6\/20 + 2365*v**3\/3 + 216*v**2 + 7*v. Differentiate a(g) with respect to g.\nAnswer: 16*g**3 + 558*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (18\/3)\/(-3). Let k(j) = -j**5 + 1. Let p(n) = 7*n + 3*n**5 - 6*n**2 + 8*n**4 - 4 - 4*n**5 + 2*n**3 - 6*n**3. Let a(i) = o*k(i) + p(i). Factor a(c).\nAnswer: -(c - 1)**3*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.055 - 0.049. Let p = 1.896 - j. Let v = 2602\/13 - 200. What is the second smallest value in 3, p, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-10)\/(-540) + 1\/(-36)*4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2589, -5699, -8811, -11925, -15041, -18159?\n\"Answer: -z**2 - 3107*z + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657173 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h + h - h as f*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422298.6 rounded to the nearest ten thousand?\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2308, 3 in ascending order.\nAnswer: -2308, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*(-81)\/(-3888))\/(((-4*3)\/4)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 3*i + 16, -28*v + 25*v = 3*i + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-189)*29*(-87)\/(-28594)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 14*c**2 + 60*c + 73. Calculate i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(252) + (sqrt(252) - (1*sqrt(252) + sqrt(252)))*-3 - (5 + (sqrt(63) + sqrt(63) + -2)**2*-1).\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347309933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 113\/((-38420)\/13362).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-12))\/(4\/(-64)). Let b be s\/9*117\/(-2). Let n = b + -76. Solve -2*q + 3*g = -1, 0*q + 4*g = 3*q - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 2*g - 1 + 36*g**4 + g**2 + 0*g**2 - 45*g**4 as j*g**3 + h*g + q*g**4 + s + a*g**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*q - 59*q + 37*q - 362*q.\nAnswer: -644*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7459613 a multiple of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888, -2116, -3358, -4620, -5908, -7228, -8586, -9988?\nAnswer: -11440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42997948*j + 13124138 with respect to j.\nAnswer: 42997948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 101\/2 of a millisecond?\nAnswer: 50500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 93 (c) -48671\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j - j - 2*j + 0 + 0 + (-3 + 2 + 0)*(-3 + 2*j + 3) - j - 3*j + 2*j - 53457 + 53457 - 2671*j to the form i*j + z and give i.\nAnswer: -2679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 49\/30*g**6 + 3\/2*g**4 - 119\/20*g**5 + 0 - 4*g + 22\/3*g**3 + 4*g**2. Find m, given that v(m) = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = -4*s, -3*o + 5*s = -0*s - 110. Let m be (-52)\/6 + o\/45. Let f = 21 - m. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 4*l**2 + 4*l**2 + l**2 + 7*l**3. Let w be y(1). What is the first derivative of 1 - 3*m - m + 8*m - w wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = -21*a + 24*a. Are 0 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -0.2, -19, -0.096?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 34\/4)\/((-595)\/(-1190))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042.138 millilitres in litres?\nAnswer: 1.042138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499428?\nAnswer: 2, 3, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 890812 by 463.\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.858 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2 - 1069244*o - 2138480 = 0.\nAnswer: -534620, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20 and 252493\/(-469920) + (-3)\/(-11)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257\/4 + -64. Determine g, given that -1\/4*g + 1\/4 - s*g**2 + 1\/4*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*g + 5264 = -5232 + 10536, -2*y + 24 = 3*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, r: 5, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-413320)\/92997*54\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12854660 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -389, -5, -2, 78 in decreasing order.\nAnswer: 78, -2, -5, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 31. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2476 is divided by 223.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14067659293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/(-330))\/(((-200)\/(-16))\/25))\/((-126)\/(-315))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4713.1 or -1?\nAnswer: -4713.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -216, -486, -762, -1050, -1356, -1686?\n\"Answer: -i**3 + 3*i**2 - 272*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 958\nAnswer: -1\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 1. What is the second biggest value in w, 0, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 2\/17, 2, -0.2, 0.1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (165\/99)\/(10\/12). Solve 1\/3*d - 1\/3*d**b + 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 110*a**2 + 2*a + 2. Let x = 36 + -32. Suppose x*t + 5*t + 9 = 0. Is 23 a factor of w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 9 = 5*r. Put -4, r, 0, 2 in descending order.\nAnswer: 2, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 1, a: 6, m: 5, j: 1}. Give prob of sequence aajy.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**5\/25 + 3*c**4\/10 - 4*c**2\/5 + 3. What is j in m(j) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 = 5*i. Suppose 2*t - 576 = -i*t. Let h = t + -68. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*f**2 + 21*f + 318*f**2 - 607*f**2 - f**3.\nAnswer: -f**3 - 3*f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 722 - 718. Let g(o) = o**2 + 6*o + 7. Let v be (-2 - -2) + 10\/(-2). Let r be g(v). What is the closest to -1 in i, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + i = 40, -3*m + 2*m + 35 = -4*i. Let k be -75*(-3 + 1 + 25\/m). Solve -k = 4*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 176 = -8*m. Let z = m - 57. Let o = z - -17. Sort o, -1, -3 in decreasing order.\nAnswer: o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 43*i = -46*i + 55540009, x - 3*i = -13885009. What is x rounded to the nearest 100000?\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2. Let j(w) be the second derivative of -w**3\/2 - 72*w. Determine j(r(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -177, -32, 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.986 - -1.75. Let k = h - -0.2077. What is k rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6) + -3 - -2*sqrt(1573).\nAnswer: -3 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.2, -3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**3 + 17*u**3 - 54*u**3 + 19*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1350 and -47\/300?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 69*d**2 - 74*d + 285. Let h be l(70). Calculate the highest common factor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3396 (base 14) in base 3?\nAnswer: -110021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778 is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2224 by -278.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*h - 5*c, -2*c - 2048 = -3*h - 2062 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84927539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 28681.42 and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 38*j**3 - 2*j**2 + 1. Let o be 4\/10 + (-36)\/(-10). Suppose 0*d = o*d - 4. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 4484*d**3 + 4344454*d**2 + 1529290620*d + 116318513025.\nAnswer: (d - 2385)**2*(d + 143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (57 - (10 - -9)) - 19 - -47?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 826\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 13. Let j = 8 + g. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111000111010 (base 2) to base 9.\nAnswer: 121455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/536 and ((-120)\/(-300))\/(24\/(-62))?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + p**3 - 3*p**3)*(-p**2 + 2*p**2 + 0*p**2) + 596*p**5 - 278*p**5 + 475*p**5.\nAnswer: 794*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891534?\nAnswer: 2, 3, 7, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145739509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - (-10 + 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**9\/151200 - r**8\/25200 + r**5\/30 + 2*r**2. Let m(u) be the third derivative of i(u). Factor m(j).\nAnswer: 2*j**2*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*d + 296*d - 895*d.\nAnswer: -791*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 32. Let d be (50\/7 - 7) + 20\/7. Suppose -4 = d*t - 1, 5*n = -2*t - 177. Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)*-2 - sqrt(110)*2*3)\/((5*sqrt(160)\/sqrt(4))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -50*v. Let t(u) = -161*u**2. What is s(t(d))?\nAnswer: 8050*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/5)*f**(-25)\/f assuming f is positive.\nAnswer: f**(-139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25593540 divided by 42.\nAnswer: -609370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843489409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 241955197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m\/m**8)\/m)\/(m*m**8))\/(m*m**(-1)*m*m*m)**(-18))**(1\/13))**46 assuming m is positive.\nAnswer: m**(1748\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 24 = -6. Let z be -33*(-1 - (-10)\/s). Let y be ((-11)\/z)\/((-2)\/(-28)). Solve -2 + y = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*k + 16. Suppose 0 = -p - k*p + 20. What is the highest common factor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 1710643*f - 1710638*f + 41 = 0, 0 = -3*w - 3*f - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*g + 725*g + 1579*g + 709*g.\nAnswer: 2479*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67897032, 271588117, 611073260, 1086352461, 1697425720, 2444293037, 3326954412?\n\"Answer: 67897029*o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkhaazfahfllhzhk. What is prob of sequence kfa?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 2*y**2 + 1\/6*y**3 + 4*y + 0. Let s be i(-7). Which is the closest to s? (a) 0.5 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -130 - -42c3?\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 19 - 3 = 0. Let y be -8*(0 - d\/(-8)). Suppose 0 = -v - y*k + 41, 3*v - k - 140 = -30. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 126 (b) -2\/11 (c) -0.33 (d) -1\/2 (e) -9 (f) -11 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -27*j**2 - 2*j + 2. Let l(c) = -82*c**2 - 7*c + 7. Let d(z) = -14*h(z) + 4*l(z). Let o(g) = -2*g**2. Calculate o(d(m)).\nAnswer: -5000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6077 divided by 20?\nAnswer: 6077\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:43 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89.43 + 1168.47. Let z = s - 868. Let k = -436 + z. What is k rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 638?\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, r: 3, u: 2, f: 2}. Give prob of sequence rf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12224 and 17\/32.\nAnswer: 12224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265061708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1131430241?\nAnswer: -1131430242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 532*x - 14. Let h(f) = -f**2 - 1066*f + 25. Give 4*h(k) + 7*z(k).\nAnswer: -4*k**2 - 540*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/872 and 59\/3052.\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -24. Let l be n\/4*-46 - 4. Find the third derivative of 19 - 5*f**2 - l + 4*f**3 wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(12\/57600*210*5\/1)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -298)*(-2)\/(-20). Let k = j - 152\/5. What is the common denominator of k and -13\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221720371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z - 215*z - 9*z**3 - 486*z + 61*z**5 wrt z?\nAnswer: 1220*z**3 - 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyyyyyyyyyyyuyyyy. What is prob of picking 1 u and 1 y?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y + 14. Let x be 1*-1*(-19 - y). Let z = 94 + -64. Calculate the greatest common divisor of x and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15155353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26560.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697 = -41*r - 1164 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9177458, 18354915, 27532374, 36709835, 45887298, 55064763, 64242230?\nAnswer: 73419699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-626)\/(-1113) + 2\/(-6). Let r = o + 3\/53. Factor 6\/7*n - r*n**2 - 4\/7.\nAnswer: -2*(n - 2)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 2*l + 1. Give v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 18*c - 4. Let g = -2 - -19. Let h be r(g). Calculate the greatest common divisor of 143 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 359602, 358724, 357846, 356968?\n\"Answer: -878*b + 360480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + -1 + 5. Suppose 3*z = 2*q + v, 0*q + 2*z = -3*q - 1. What are the prime factors of -1 - -7 - (-1)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + ((sqrt(1088) + 1)**2 - sqrt(1088)) + 2*sqrt(833).\nAnswer: 30*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 12) + (11 - 2) + (-3 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -758 + 770. Suppose -12*m + 48 = -c. Calculate the remainder when 10*(2 - (-1)\/(-1)) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 - 8*j + 1. Let y be g(9). Let s = 18 - y. Suppose 0 = -2*t - 0*t - s. Which is the nearest to 0.1? (a) t (b) 1\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 267 + 39)*(m**2 - m**2 - m**2).\nAnswer: 289*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21287284 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35\/((-10080)\/(-32))*(-24)\/128\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1049 + -1046. Solve -m + 2 - 13 = 4*j, s*j - 5*m = -37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3452\/(-12))\/(1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 3*r**2 + 4*r + 2. Let i be n(4). Suppose -2*x + 4404 = -k, -6*k + k = -i*x + 22004. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60144 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 + 0)*(4 + -2). Let u(w) = -w**2 + 30*w + 16. Let b be u(29). Let n = b - z. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67, -61, -53, -43, -31, -17?\n\"Answer: j**2 + 3*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 6*d - 8. Let f(h) = 26*h**2 + 15*h - 24. Let i(x) = 15*x**2 + 8*x - 13. Let t(r) = -3*f(r) + 5*i(r). What is -6*o(v) - 7*t(v)?\nAnswer: 3*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**3 + 64*k**2 - k + 9. Let g(r) = 46*r**3 - 288*r**2 + 4*r - 40. What is -22*b(x) - 5*g(x)?\nAnswer: -10*x**3 + 32*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20083*i*o*q + 319*i*q**2 + 2*i*q - 4*i - 3*o*q**2 + 2*q**2 with respect to o.\nAnswer: 20083*i*q - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 5, -25, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001852 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*u - 12 = 213*u - 426*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 - 0.292. What is p rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by (-6266)\/(-27) + 3*(-5)\/810*4?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 3*q - 55. Let d be u(-6). Let o = -2 + 3. Which is the smallest value? (a) o (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/2*6\/(-5) + 2. Suppose -5*k + 2 + w = 0. Let l(z) be the third derivative of -z**4\/24 + z**2. Let y(m) = 2*m - 2. Give k*y(x) + 6*l(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = w + 2*u, 5*w - 5*u = -0*u + 2500. Solve -13*p - w = -466 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 - 3. Let w(c) = c - 8. Let m be w(8). Sort m, y, -2\/7 in ascending order.\nAnswer: -2\/7, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 973 - 548. Suppose 0 = -5*o - 0*o + m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 29, -3, 4, -173, 0 in descending order.\nAnswer: 29, 19, 4, 0, -3, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233 + 224. Is 4*(18198\/(-24))\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (0 + 2) - 30690\/3813?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/(i\/(i*i*(i\/(i\/(i\/(i**0\/i)))*i)\/i)))\/(i\/(i\/(i\/(i**(-1\/4)\/i))))**(1\/47) assuming i is positive.\nAnswer: i**(1289\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -89, -143, -201, -263?\n\"Answer: -2*a**2 - 44*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 10, 21, 36, 55?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177589\/87365 - -199\/101. Find the common denominator of g and -13\/1038.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-10) - 1)\/((-304)\/3800). Solve -6 = -0*b - g*b - m, -2*b + m = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 10) to base 14\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55677377 and 71883.\nAnswer: 7987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*v + 1246*v + 1222*v - 4295*v + 10469 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153095?\nAnswer: 5, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6797 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77583, -77526, -77443, -77340, -77223, -77098, -76971?\nAnswer: -76848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 31 = 4*g, 2*d - 2*g + 6 = -8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - s - 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30776927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16189 - 12134773078\nAnswer: -12134789267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfffkffkffkybf. Give prob of picking 1 f and 1 y.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by -6.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2037 or -604856\/297?\nAnswer: -604856\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -4*j**3\/3 - 9*j + 7. Find the first derivative of b(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/9 - 83*k\/9 - 28\/3.\nAnswer: (k - 84)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/8*(0 + ((-2)\/5 - 0)). Which is the closest to 1? (a) -1\/3 (b) 0.03 (c) w (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - 593*k - 10513. What is w(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -841.535 to the nearest 10.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 15. Suppose -3*o + d = 5*i, 2*i - o = 3 - 0. Suppose i*r - 1618 = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 2*n - 6. Give h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2092220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21175 take away -287?\nAnswer: -20888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-63)\/27 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4397 + -4387. Solve 24 = -m*o + 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/4)\/(5\/(-40)). Let m be g + 6\/(-4)*2. Let x be (-2)\/(-2 - 2)*-2. Is m smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5306035447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52166004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/336 and -37\/102144?\nAnswer: 102144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 25*i - 45. Let v be x(11). Let c = v + -667\/3. What is the common denominator of -62\/35 and c?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2 + k**3 - k**6 + 0 - 1. What is the third derivative of j(f) wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11312120321 - -3?\nAnswer: 11312120330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/48*(2 + 1). Suppose -3*v + 6 = -6*v. What is the fourth biggest value in a, -2\/5, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/61 (b) 2\/17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 8*q = 4*r - 120679, 0 = 5*r - 10. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.909 take away 2.2?\nAnswer: -3.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 14. Suppose -y + 5*a = 3*y + 1217, -3*a = -3*y - 915. Calculate the lowest common multiple of t and y\/(-21)*6\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 32*b - 31*b = 12, 3*p + 4*b - 35 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102 (base 3) to base 12.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f = 15. Suppose 9*a = 789 - 744. Let x = -101 + 102. Put -5, x, f, a in descending order.\nAnswer: a, f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 54 = 0. Suppose -5*y + 5 = 10, b = 4*y + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-141 + 198))\/((-5)\/(-285))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(z - 3*z + 0*z) + 0*z - 2*z + 4*z - 2*z + 1 - 1)*(-849 + 849 - 32*z).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {u: 1, m: 2, k: 1, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 7*o**2 + 10*o + 38. What is l(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 12 + (52 - 21 - 29)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let y be (-16)\/6*2\/4. Let t = -0.3 - 0.7. Which is the nearest to z? (a) y (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {h: 5, s: 2, c: 3, x: 4, n: 5, y: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least 763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*-3)\/(31\/62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 16 - 7 - 21 + 14. Calculate r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 2193bea?\nAnswer: -2193bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 24*a + 33. Let t(o) = 8*o**2 - 168*o + 232. Let w = 12 - 15. Let d(k) = w*t(k) + 20*l(k). Factor d(c).\nAnswer: -4*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -15)*(-56)\/(-980).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17661 + -16111. Calculate the greatest common divisor of q and 8370.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 3*w + 7*w. Let n be -3 + 8 + (1 - 4). Calculate x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950577 to the power of 1\/2, to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82200*l**3*m**2 + 120*l**2*m**2 - l**2 + 134*l*m**2 wrt l?\nAnswer: -493200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14012 or 3139\/6?\nAnswer: 3139\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, -2\/251, 28, -3\/5, 0 in decreasing order.\nAnswer: 28, 0, -2\/251, -0.3, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5497.338 times 0.9?\nAnswer: -4947.6042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + 2 + -5 + 2*sqrt(931).\nAnswer: -3 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*g + 75, -2*a + 6 = -5*g - 45. Let l = 6 + -1. Solve k - a = 2*k + l*y, -y = -4*k + 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) 8 (c) -0.5 (d) -1\/6 (e) -27 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 15 - 5. Suppose -5*g - 10 = -4*f, -2*g - 13 = -l*f + 3. Let a(p) = -4*p - 7. Let i(z) = -3*z - 8. Let d(q) = 4*a(q) - 5*i(q). Calculate d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42264, 40294, 38340, 36408, 34504, 32634, 30804?\nAnswer: 29020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-49))\/((-18)\/63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, k: 3}. Give prob of sequence lk.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.7. Let m = -6.03399 + 0.03399. Sort l, -0.5, m in decreasing order.\nAnswer: l, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:56 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5 - 3*g**4 - 1838*g**3 - 234347*g?\nAnswer: 40*g**3 - 36*g**2 - 11028*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -14, -3\/143, 0.092, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 15. Let m be f(16). Suppose 4*u - 9*u = -m. Which is the third smallest value? (a) 1 (b) u (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000633447867 to six dps.\nAnswer: 0.000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/7 - 1458*d**3\/7 - 7334*d**2\/7 - 4422*d\/7 + 13212\/7 = 0?\nAnswer: -3, 1, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.022 - 0.242. Let w = -0.2178 - g. Round w to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) 8.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564\/(-92) + (-159 - -165).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-7 - -7)) + -11 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 154*j - 154*j - 3*j**3 - 7.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 195447 = 4*f, 0 = -0*b + 19*b + 133. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278543 is divided by 46036?\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {v: 1, c: 2, a: 3, e: 1, x: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:16 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/15*3\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-12))\/((-2)\/(-16)*1). Let f(o) be the first derivative of -3\/2*o**l + 5\/3*o**3 + 0*o - 3. What is the second derivative of f(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -716 - -21650. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j + 8*j + 36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191962.\nAnswer: 2, 41, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3599\/2 - -1761. Calculate the common denominator of -61\/5 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/24? (a) -2 (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -180. Let r be -2 + 15 + -1 + 1. Let y = b - r. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 6:29 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*d + 68*d + 318*d - 57*d - 887*d - 815*d.\nAnswer: -1546*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 4804\/252)\/((-4)\/(-6)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, 0.06, -1\/3 in decreasing order.\nAnswer: 0.06, 1\/22, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -110.7. Let r = -10 - -6. What is the second biggest value in w, 2\/11, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6166 + 6165.9. Sort -1\/3, -5, o, -1296 in increasing order.\nAnswer: -1296, -5, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -306?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -104*y + 312. Let n be j(3). Solve 0 = s + c + 1, n = s + 4*c + c - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904148 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7676291.\nAnswer: 7, 156659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46853, -186572, -419431, -745424, -1164545?\n\"Answer: f**3 - 46576*f**2 + 2*f - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 396*o**3*x*y + 22*o**3 - 157*o*x**2*y + 6*o*y - x**2*y - 65*y wrt x.\nAnswer: 396*o**3*y - 314*o*x*y - 2*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 268.8*1337\nAnswer: 359385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20124 and 71\/1448928.\nAnswer: 1448928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30234407 = -7*g - 9803801. Let r = g + -1947658. Round r to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902398069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 15\/(-9))*6. Let o(l) = -l + q - 41 + 3*l. Let r be o(6). Is -12 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2875 and 253375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855648582?\nAnswer: 2, 10009, 92699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72688182 and 30?\nAnswer: 363440910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 54*q + 155. Let u be k(3). Solve -2 - 13 = j + 3*z, 5*z = -u*j - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15404077 is divided by 7969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 11*o**3 + 0*o**3 + (2*o - 2*o + o)*(-2*o**2 + o**2 + 3*o**2) - 1 + 2*o**3 + 1 + 3*o**3 - 2*o**3 - 3*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4733 is divided by 4459.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is (125\/(-300))\/((-10)\/(-18))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 41084\nAnswer: 35\/41084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6 + 5\/2. Let c(l) = 2*l**2 + 40*l - 319. Let g be c(6). Put f, g, 0 in descending order.\nAnswer: f, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 + 8. Let c(y) = y**2 + 1. Give -24*c(n) + 3*k(n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9\/4)\/l*l)\/(l\/(l*l**(-6\/35))) assuming l is positive.\nAnswer: l**(-339\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/6984 and -80\/9603.\nAnswer: 76824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2032, -1989, -1864, -1615, -1200?\n\"Answer: 7*z**3 - z**2 - 3*z - 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 247.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 23) + 8 - (11 + -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4429127.6 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/2 - 32*r**3\/3 - 19*r**2 + 68*r + 886. Factor g(q).\nAnswer: 2*(q - 17)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = -2*d + 12, 5*d + 5*u = -20. Suppose 1 = k - d. Solve 4*q - v - 9 = 0, q + 4*v + 21 = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/3 - 11*g**3 - g**2 + 97*g\/3 + 22 = 0.\nAnswer: -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 7*r**2 + 4*r - 7. Let z be w(-4). Suppose -3*b + z = 2*b. What is the third derivative of 6*y**b - 4*y**2 + y**2 + 4*y**2 - 2*y**2 wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/(-176)*2\/3. Which is the third smallest value? (a) -4 (b) 2 (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.909 or 18?\nAnswer: 7.909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-22))\/((-10)\/4)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 32*n = -30. Determine j so that 2 - 3*j**2 - 6 + n*j**2 + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146\/5 - -29. Let r = 0.36 - 0.06. Suppose -b + 2 = 6. What is the closest to p in r, 4\/7, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/1 + -52 + 59\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 54 = -2*g, 5*w + 0*w - 3*g - 277 = 0. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3059496 and 151\/3268098.\nAnswer: 143796312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-5 + 5 + 8)) + 12 + -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, -3\/10, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4\/9))\/((g**(-3\/2)*g)\/g))**(1\/2)\/((((g*g**(2\/13))\/g)\/g)\/g**8*g**(-4\/9)*g*g**(2\/7)) assuming g is positive.\nAnswer: g**(10349\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x - 0*x + 66 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -954*p. Let n(l) = 3*l**2 - 26*l. Give j(n(b)).\nAnswer: -2862*b**2 + 24804*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 94*g + 960 = 0. Calculate g.\nAnswer: -32, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/7, 5, -69, -1, 21, 7\/2.\nAnswer: -69, -15\/7, -1, 7\/2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 22130?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3\/(-3)) + 10. Solve 5*d - f - 5 = -3*f, -x = -2*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -49*k - 6888. Let u be s(-175). Calculate the greatest common divisor of u and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 32. Suppose q = 2 - f, q = 5*z - 39. What is the lowest common multiple of 19 and z?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10859331 + -0.4?\nAnswer: -10859331.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.4, 5, 3.6, 9, -2, 1, 0.3.\nAnswer: -2, 0.3, 1, 3.6, 5, 9, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -769610 divided by -153922.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 13*v**2 - 6*v + 19. Is q(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 4*i)*(-8 + 5 - 4) - 497*i - 648*i + 146*i + 139*i + (3*i - i - i)*(1 + 2 - 1).\nAnswer: -872*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1 - h**3 + 4*h**2 - 1 - h + 0*h**3. Let x be (-7 + 1)\/(38 - 40). What are the prime factors of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-2)\/(-4)*-2. Let s(m) be the second derivative of -m**4\/12 + m**3\/6 + 5*m**2\/2 - m. List the prime factors of s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21461931 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**3 + 13*g**2 - 35*g + 27. Let u(m) = -3 + 22*m - m**3 + 2*m**3 - 21*m + 1. Let h(n) = -d(n) - 6*u(n). Find v such that h(v) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4443201244 (base 5) in base 8?\nAnswer: -45121030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7876500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkdddoyyoddoydydodd. What is prob of picking 1 k, 1 d, and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4326)\/(-721))\/((-603)\/(9\/(-3)))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-16)*(t\/t**(11\/5))\/t assuming t is positive.\nAnswer: t**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/2)\/((-4)\/24). Let r = m + 65. Suppose -10 = -3*q + r. Calculate the least common multiple of q and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25740 and 180180.\nAnswer: 180180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 16311 = -5*k - 77206, 60883 = 5*q - k. Differentiate -13 - 138 + 12059*f**2 - q*f**2 wrt f.\nAnswer: -234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*h + 15 = -h, 4*r + h + 17 = 0. Let m = 23 - 5. Calculate the remainder when 138\/4 + (-2)\/r is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7*k = -t + 3, -k + 3 = -5*t. Which is smaller: t or 7\/24?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2242237 + 2242237 - 2287*m**2.\nAnswer: -2287*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 2*i - 8. Let s be j(-3). Let y = s + 21. Which is the third smallest value? (a) y (b) 4 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 11, 4.\nAnswer: 4, 11, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.284 + -11.616. Let n = 11 + a. Let w = n + 0.78. Round w to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, x: 5, v: 6, u: 4}. Give prob of picking 1 u and 2 t.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -7\/8893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.38, 3\/4, 0.5?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24006 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2. Suppose 4 = 3*k - k. Let l(f) = -f**k - f**2 + 4*f**2. What is l(q(o))?\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 9 + 11*d - 5 - 3*d. Suppose 2*g + 1 = -2*h - 1, -4*h - 22 = -5*g. Determine y(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*k + 166 + 180, 4*n + 2*k = 432. What is the greatest common factor of n and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16500 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*g**2 + 5*g**2 - 89*g**2 - 16*g**2.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*n, 2*s = s + 3*n + 14. Let w be 12\/(-40)*4*-20. Let z be w\/16 + 7 + (-2)\/4. Solve 0 + z = -s*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(429) + sqrt(429) + sqrt(429) + 2*sqrt(429) + sqrt(429))\/sqrt(11))\/sqrt(3))**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31394 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36\/27*(-126)\/(-4) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)*10\/2. Let c = -6 + u. Put -2, 2, c in descending order.\nAnswer: 2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36538662007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30340 is divided by 2294?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.077?\nAnswer: -0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 10. Suppose 4*g - g - 12 = -5*s, 0 = -g - d*s + 4. Let j = 3 + g. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109239*h**2*i**3 + 139005*i**3 wrt h.\nAnswer: -218478*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 0, -4*m - 2*y + 15941 + 67689 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/9)\/(1000\/414960). Let y = 111\/25 - r. Which is bigger: y or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/4*3\/(-6))\/(264\/(-64))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28)*-1*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/17 and 3\/13?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 12*d - 14. Let f be i(-14). Which is smaller: 12 or f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d + 42. Suppose 0*t = -4*t - d. Let b = 31\/140 - -1\/35. Put b, t, -3 in increasing order.\nAnswer: t, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(385\/14))\/(-3*(-2)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -117*(-12)\/54?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Suppose -8 = -4*c, 0 = 2*z - 5*c - 13 + 19. Sort q, 1, z in decreasing order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/26311682 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4754650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -720, 12, -2, -0.1 in descending order.\nAnswer: 12, -0.1, -2, -720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.246 + 2.226. Let l = c - 2.2. Let u = -0.08 + l. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toii when four letters picked without replacement from {b: 7, x: 1, t: 7, o: 1, e: 1, i: 3}.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-168)\/(-35) - 12 - (-1 - 0)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/48*6)\/(44\/96)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 9, 0.05, 0 in descending order.\nAnswer: 11, 9, 3, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9186 + -5777996\/629. Let y = -74072444 - -232957850228\/3145. Let j = t + y. Find the common denominator of j and 17\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (391\/170)\/(((-165)\/(-22))\/(-15)).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 26148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose k*v = 6*v. Suppose -3*j - j + 148 = v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2057)\/(-176) + -12)*(17 - 33). Determine s, given that 0 - 4\/7*s - 4\/7*s**q - 25\/7*s**4 - 25\/7*s**2 - 6*s**3 = 0.\nAnswer: -4, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496601663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536782.7 months in millennia?\nAnswer: 128.065225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-114 - -97 - -67)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2328*a = -2340*a + 206508. List the prime factors of a.\nAnswer: 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 903 + -491. Let r = 913 - t. List the prime factors of r.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 - -2.2. Let t = w - -1.8. Which is the nearest to 0? (a) -1 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b)**(2\/13) assuming b is positive.\nAnswer: b**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:54 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let x(i) = 3*i**3 - i + 1. Calculate x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14400, 28777, 43080, 57273, 71320, 85185, 98832?\nAnswer: 112225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -7?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -v + 2290, -5886 = -4*v + 4*m + 3298. Suppose 1264 + v = 13*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22588462?\nAnswer: 2, 13, 868787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3 - 109*m**2 + 21*m + 27984?\nAnswer: -3*m**2 - 218*m + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4227.\nAnswer: -5\/4227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8658 greater than or equal to 8655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 - -136. Let h(z) = -z**3 + 9*z**2 - 14*z - 19. What is the least common multiple of h(t) and (1 - -1)*-1 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 9*c + 14. Let m be o(-10). Suppose -m*u - u = 0. Suppose -h + u*h = -54. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/8 - 11*b**3\/6 - 7*b**2. Let q be p(5). Suppose 15 = o + q*o. Solve -o*t - 9 = -6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 1108917848129?\nAnswer: -1108917848133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.034?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.8 - -255.8. Let h = b + -243.00141. What is h rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669287 is divided by 7782?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 + 2*b**2 - b - 6. Suppose 0 = 37*o + 9 + 28. Let r(n) = -n**3 - 1. Give o*a(m) + 6*r(m).\nAnswer: -m**3 - 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4421, -4442, -4477, -4532, -4613, -4726, -4877?\n\"Answer: -b**3 - b**2 - 11*b - 4408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 7, e: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56368\/(-2808) + 8\/108.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 5*r + 2*r + 26*r**3 + 2*r**2 + r to the form z + f*r + v*r**3 + a*r**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - -10) + -4 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r + 2093 = 2055 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -138. Suppose b = j + 21 + 14, -4*b + q = -2*j. Calculate the remainder when b is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26575 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: 3200030144 (base 5) to base 16\nAnswer: 655b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -16*x**5\/15 - 7*x**4\/3 + 8*x**3\/3 + 14*x**2\/3 - 8*x\/3 + 157. Solve q(d) = 0 for d.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m + 3*f, m + 6*f = 2*f + 2. Suppose -k - 4 = -3*k - m*t, -k - 2*t = 2. What are the prime factors of (8 + -10)*7*(-21)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 23*c + v = 1, -5*c - 5*v - 25 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 4. Suppose -10 = 18*z - 20*z. Calculate v(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 13 + 28. Let l be -2 + 1\/(-59)*-121. Let d = l + -145\/531. What is the second smallest value in d, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5524 + -1165562\/211. Let p = -168 - -169. Are p and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 + 3*q - 8. Let o be y(5). Suppose o*r = 4*r + 159. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224829 - 93829. What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397827000 rounded to the nearest 1000000?\nAnswer: -398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20*m**2 + 19*m + 17. Let a(i) = -6*i**2 - i - 1. Let n(h) = 3*a(h) + j(h). Factor n(l).\nAnswer: 2*(l + 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123808, 123774, 123740?\n\"Answer: -34*z + 123842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -dcb4 (base 16) to base 7\nAnswer: -323503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14606*c**2\/23 + 2891990*c\/23 - 396\/23.\nAnswer: -2*(c - 198)*(7303*c - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(19)*3 + sqrt(76)\/sqrt(4) + -3 - (-1 + (sqrt(19) - sqrt(95)\/sqrt(5)) - (sqrt(133) - (sqrt(133) - 3*sqrt(133)))\/sqrt(7))**2*5.\nAnswer: -858 - 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 224\/210 - (-70)\/(-60). What is the biggest value in 41, l, -42?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -716 + 779. Let p = q + -60. What is the smallest value in -1\/5, 8, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0228*0.4\nAnswer: 0.00912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1462825540 divided by 5\nAnswer: 292565108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -3, 3\/11, 0, 202916?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 1 in descending order.\nAnswer: 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1773 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 0?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/655 at most -1\/13069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0793803 rounded to three dps?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k + 1252. Calculate the remainder when 517 is divided by x(-37).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92*l**4 - 3218*l + 1752530?\nAnswer: -368*l**3 - 3218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21701083 to the power of 1\/2, to the nearest integer?\nAnswer: 4658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74862239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-9)\/a)\/a**(-4\/3))**16*(((((a**(-1\/4)\/a)\/a)\/a)\/a)\/a*a**4)\/((a\/a**(2\/7))\/((a**(2\/5)*a)\/a)) assuming a is positive.\nAnswer: a**(-52177\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + -4 + sqrt(363) + 0 + sqrt(363) + 0)*1*-3.\nAnswer: -66*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11978*b**2*k - 192*b*k + 2*b wrt b.\nAnswer: 23956*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 30, 114, 274, 534, 918?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 10.76978 nanograms?\nAnswer: 0.00000000000001076978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -37.789787 and 6418.\nAnswer: 6380.210213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000412263 to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*h - 7, 2*l - 30 = 13*h + 43 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67398, -67618, -67840, -68064, -68290, -68518?\nAnswer: -68748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 8 + 67. Suppose 4*g + g = 15. Let q(w) = -2 + 4 - 3 + w**2 - g*w. Give q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:13 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + s + 1. Let a(h) = h**2 + h. Let u(l) = -6*a(l) + x(l). Let n(q) = q**3 - 10*q**2 + 9*q - 5. Let p be n(9). What is the units digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37373659369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3827850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 192?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 65\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80564, -80899, -81234, -81569, -81904?\n\"Answer: -335*u - 80229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 75169920 divided by 1128\nAnswer: 66640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7992400 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -2*q**4 + q**2 - 4*q + 74. Let i(h) = 4*h. What is i(s(d))?\nAnswer: -192*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 4*o - 28. Let y be k(9). Let g be 2\/(-5) - -1*y\/5. Solve -5*s = 5*f - 15, -f + 0*f + 3 = -g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2\/3 + 707712*c = 0. Calculate c.\nAnswer: 0, 530784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 136740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 u, and 1 f when four letters picked without replacement from {q: 2, p: 2, f: 3, w: 2, u: 2, b: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96)\/(sqrt(96)\/sqrt(8)) - ((-1*sqrt(512) - sqrt(512)) + sqrt(512))\/(sqrt(64)*1 + sqrt(64) + sqrt(64) + sqrt(64) - sqrt(4)))**2.\nAnswer: 2888\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 357\/40 - -61\/5. Let i = 485\/24 - x. Let l = i - -3\/4. What is the closest to -1\/4 in l, -3, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/24 + h**5\/10 + h**4\/8 - 2*h**3\/3 + 7*h**2\/8 - h\/2 + 20. Factor i(q).\nAnswer: -(q - 1)**4*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13 + d + 0*d - 19 + 36. Let t be p(-2). Let n(w) = w - t*w + 2*w. Let y(h) = 4*h. What is n(y(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 385 = 3*n. Let p = n - 113. Suppose 0 = p*j - 17*j + 16260000. What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.93 - -4.929799. What is c rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49207743 + -9?\nAnswer: 49207734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*l**2 + 3 + l - 44*l**2 - l wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -181615*p*z + 1571098*p - 2*z wrt z?\nAnswer: -181615*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 4901 - 4904 + 12*t + t**2. Let v(l) = -l**2 - 4*l + 1. What is 4*b(q) + 11*v(q)?\nAnswer: q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1561 - -1059. Let b be u\/(-7) + 8\/28. What is the highest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 - 5*q - 4. Let k be r(3). What is the smallest common multiple of 18 and -60*((-2)\/1 + (-15)\/k)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.10645056 from 31526900.\nAnswer: 31526900.10645056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 7701?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*s**3 + 87*s**3 - 9*s**2 - 14*s**2 + 22*s**2 - 164*s**3 + s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 856, 850, 844?\n\"Answer: -6*l + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*t - 46. Suppose -114 = 7*n - 555. Suppose j = -5*h + 27, -3*j + n = -5*h + 2*h. What is the remainder when j is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -35)*(-2)\/(-4)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) 0.5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4\/3 (c) -2 (d) 2\/13 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*-6 - sqrt(77)*1*-2)\/((1*sqrt(77)*5)\/sqrt(11)))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -5\/11, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261 - -1466. What are the prime factors of b?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801075 is divided by 6927.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 100*m**7\/21 + m**6 - 137*m**5\/20 - 77*m**4\/12 - 5*m**3\/2 - m**2\/2 + 126*m + 1. Solve w(r) = 0.\nAnswer: -1\/2, -1\/4, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9885460?\nAnswer: 2, 5, 13, 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4046*7752\/2736?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-7 - (-1 + -14) - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -69, -7, -9, -3, -4 in descending order.\nAnswer: 3, -3, -4, -7, -9, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(306))\/sqrt(6))\/((sqrt(15) - (sqrt(15) - (sqrt(15) + sqrt(15)*1)))\/sqrt(5))*2.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, d: 1, z: 2}. Give prob of sequence kzd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1462392 and 43\/324976?\nAnswer: 2924784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 1. Let d be k(-1). Let h(a) = -3*a**d - 4*a**2 + 4*a**2 - a. Let y(c) = -2*c**3 + 19*c**2 - 10*c + 8. Let o be y(9). Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*v + 2, -40 + 10 = -5*r - 3*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3\/8 (b) 0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(3 + t - 3) + (-4*t + 0*t - 3*t)*(1 + 0 + 1 - 1 - 4 + 3 + (-3 + 0 + 2)*(0 + 4 - 5)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11694*a**2 - 14118*a**2 - 15179*a**2 - 13462*a**2 - 27107*a**2.\nAnswer: -81560*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1.2. Which is the closest to 0.1? (a) -3\/4 (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406436461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3552*n + 227346. What is x(64)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -27. Let o(q) = -3*q - 34. Let n(z) = z + 11. Let u(a) = i*n(a) + 6*o(a). Let d be u(-19). Solve -b - 12 = d*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6116 and 6.46.\nAnswer: 6122.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 14. Sort 1, -1, b.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117997352 is divided by 1685676.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1261357024?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196*s - 89 - 487 - 752 - 307*s - 189*s wrt s?\nAnswer: -692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 - 952502*y\/9 + 5397704\/3.\nAnswer: -2*(y - 17)*(y + 476268)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**4\/12 - y**3\/3 + 6*y**2. Suppose 3*t + 3 = -5*f + 27, 0 = -t + 3. What is w(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85329074 divided by 2\nAnswer: -42664537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 520, 2079, 4676, 8311, 12984, 18695, 25444?\n\"Answer: 519*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzzrrz. Give prob of picking 1 z and 1 r.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1, 3, -54192, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(7\/(-24)))\/((-30)\/(-4)*(-1773)\/(-62055)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-77)*(-6127)\/(-1114).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 117. Let d(y) = y**2 + 13*y + 12. Let c be d(-12). What are the prime factors of n(c)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 4*q)*(-38 + 41 + 35) to the form i + z*q and give z.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + w**2 - w + 33. Let g be r(0). Suppose g = -2*h + 4*h - 5*n, -4*h + 51 = -5*n. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43000 (base 9) in base 6?\nAnswer: -335343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 6650.54.\nAnswer: 1197.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (324\/(-72))\/(3\/6). Solve -5 = -0*o + v*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -1\/3, 1, 136?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21173317799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 785*l**3 + 31865*l**2 - 75075*l - 533610.\nAnswer: 5*(l - 77)**2*(l - 6)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11664\/432*((-76)\/24)\/(-19).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415544 - -1?\nAnswer: 415545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - 0) + 38\/44 and 95\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 5)*(1 - 4 + 1) + (-3 - 2 + 3)*(0 - 2 + 4) + 1 - 2 + 3)*(-3*a - 2*a + 2*a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-7)\/s)*s)\/((s*s\/(s*s*s**(1\/10)\/s)*s)\/s)*(s\/(s*s**(1\/2))*s)**33 assuming s is positive.\nAnswer: s**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - x = -3*l - 421, -x = 3. Let c be 6\/(-14) - l\/(-28). What is c rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g + 2*g**2 - 11*g + 18*g**2 - 5*g**3 - 17 - 13.\nAnswer: -5*(g - 3)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 68 = 0. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.787831ml in litres?\nAnswer: 0.007787831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4)*v)\/v*v**(1\/4))\/(v**7\/v**12))**(-9) assuming v is positive.\nAnswer: v**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 17 = 73. Let r = q - 32. Suppose -4*u - r = -2*i - 0*i, 2*i = -u + 9. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 88. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/4114 and -25\/539.\nAnswer: 201586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08386 - 4.91614. What is the biggest value in 19, -0.5, 5, r, -4\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2563 + 2085 = -664*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 14 + 22. Let o(w) = 35 - 29 + 0*w - j*w. Let k(q) = -4*q + 7. Calculate -6*k(l) + 7*o(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9\/5)\/j**26)**26 assuming j is positive.\nAnswer: j**(-3614\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 75 + 94 - 52 = 0. What is the remainder when 817 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 27 - 6 + 28*m)*(m**2 - 15*m**2 + 7*m**2) to y*m + j*m**2 + x*m**3 + p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, u: 6}. Give prob of sequence lulu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 5*d, d + 3 = -n + 4. Let v(o) = -7 + 2*o + 2 + 4 + 11*o**2. What is the units digit of v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5 + 9 = -3*s, 5 = -5*s - 3*v. Solve -s*a = -4*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -15 - -3)\/(1 + 0). Suppose 5*s = -c + 25, -2*s = 2*s - 5*c - t. Solve -s*u + 1 = -9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1790 = -5*i, -7*i = -3*i + a - 1435. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*f + 7674 - 8586 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 49*g. Let w(z) = 1281*z. Determine r(w(b)).\nAnswer: 62769*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -1\/556, -1, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 11*w. Let d be o(5). Let z be ((-160)\/50)\/((-1)\/d). What is the highest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -210*v - 9654. Let c be k(-46). Let a(f) = -f**2 - 6*f. Let q be a(-6). Let r = 1 + q. Solve p - r + c = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*n - 11, -n - 3*u + 7 = -0. Suppose -o + 3*o - 2 = 0. Let m be (o\/2)\/(6\/4). Which is the biggest value? (a) -0.2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1837, 0.61 in decreasing order.\nAnswer: 1837, 0.61, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/2)\/(1608\/(-603)*(-2)\/16). Solve 18 = 11*u - c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -717.\nAnswer: -4\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (-1 + sqrt(1053) - sqrt(1053))**2 + sqrt(1053) + (sqrt(52)\/sqrt(2))\/sqrt(2) - (sqrt(13) - (sqrt(156)*2)\/sqrt(12) - (sqrt(325) + 1)**2).\nAnswer: 22*sqrt(13) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-110)*-2*3\/12\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 - -260 - 1296\/(-12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**3 + 180*g**3 + 120*g**3.\nAnswer: 270*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4562123 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000875 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 + 26*z**2 + 16*z - 3. Let n be w(-8). Let p = n + -9. Which is the third smallest value? (a) -0.1 (b) p (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37106 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 1, y: 3, h: 5, t: 1, a: 1}. Give prob of picking 2 m and 1 h.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/13)*l)\/(l*(l*(l*l\/(l\/l**18*l*l*l)*l*l)\/l*l)\/l) assuming l is positive.\nAnswer: l**(-237\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 12*r = 0. Solve -n + 0 = -i - 1, r = 5*n - 2*i + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 + 7*u**2\/2 + 2. Let m be p(7). Suppose m = -4*g + 8 + 4. Solve 0 = -g*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/2)\/(-1*1). Let k be (-1)\/(-5) + 628\/10. Let o = k + z. Calculate the highest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:18 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 9 - 13)*(u + 0*u - 3*u).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 10*h - 11 + 11*h**3 - 8*h**3.\nAnswer: 3*h**3 - 9*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4917 - 4826 = -v, -v + 359 = -20*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/2 + (-166)\/(-4) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q + 4. Suppose -z = -2*z. Let w be s(z). Differentiate -w*a**3 - 2*a**3 + 6*a**3 + 3 - 3*a**3 wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -15\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -957215288\/3 or -319071763?\nAnswer: -957215288\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - c = -6, 1 = -3*y - 3*c + 4. Let h(w) = -w**3 + 4*w**2 + 5*w - 1. Give h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -2\/117, -14.7, 0.3, -1?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o + 1. Let g be v(-1). Solve 0 = -7*s + g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 479 + 3623 = 0. Let z = a - -295. Solve -z*p = -6 + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6963*o - 41728. Give y(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-70))\/((-117)\/468))\/(3\/14)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9331 minus 5?\nAnswer: 9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 + -189. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2766 - 2769. Let p be (-22)\/(-6) + 2\/(-3). Let x = -63\/152 + 15\/19. Which is the closest to p? (a) i (b) 1\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3 - 2. Let o be (1113\/48)\/1 + c. Let z = -17 + o. Find the common denominator of -67\/2 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13513, 27027, 40545, 54067, 67593, 81123?\n\"Answer: 2*t**2 + 13508*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*w + 69*w + 65*w = 1502 - 5051 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 0.02 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + 1. What is the greatest common factor of 81 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51840 divided by -10368.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74.033 and -398799964.\nAnswer: -398799889.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(567) - 2*(sqrt(567) - (-2 + sqrt(567)))**2) + 1) - ((2 + -1 + sqrt(567))**2 + 1*sqrt(567)*2)*-2.\nAnswer: 99*sqrt(7) + 1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4082504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -8*i + 13*i. Calculate the highest common factor of 57 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 39*t**3 - 3*t**2 - 13. Let c(k) = 26*k**3 - 2*k**2 - 9. Determine 7*c(x) - 5*d(x).\nAnswer: -13*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) + -1*sqrt(420))\/sqrt(12) + sqrt(140)*-2)\/(sqrt(7)*-1*6 + sqrt(7) + sqrt(21)\/(sqrt(48) + sqrt(3))).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x + 39*x + 3 + 343*x**3 + 2*x - 3.\nAnswer: 343*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1797262*c**2 - 12*c - 165618?\nAnswer: -3594524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32872 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3363*v. Let m(f) = f**2 + 8*f - 20. Let j(i) = -2*i**2 - 18*i + 45. Let h(t) = -4*j(t) - 9*m(t). Give h(s(d)).\nAnswer: -11309769*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3901528 days to microseconds.\nAnswer: 33709201920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 3228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -151819\nAnswer: -4\/151819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33911503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 21 = -4*k. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002611 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3195*o - 204*o + 963*o + 16051*o)*(4 - 4 + 1) as u + b*o and give b.\nAnswer: 20005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 4. Suppose -3*v - 5*u + 23 = 0, -u = -2*v + u + 10. Let o(h) = -4*h + 5. What is v*q(y) + 5*o(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144*d**3 + 768*d**2 - 1300*d + 676.\nAnswer: -4*(d - 1)*(6*d - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**8\/c**(1\/13))\/(c*c\/(c*c*c**(2\/5)))**(-37))**(2\/159))**(-43) assuming c is positive.\nAnswer: c**(12814\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/96 - 28\/(-16). Let s(a) be the second derivative of a**5\/20 - a**3\/3 + 2*a. What is s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 11 (c) -81 (d) 3\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254029879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (45 + 13 + -54 + 16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99176059*x**4 - x**2 + 2596148*x wrt x.\nAnswer: 2380225416*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -13*y**5\/20 - y**2\/2 - 26020*y. Let b(u) = 2*u**2 - 1. Let p be (-2)\/(-4)*4\/(-2). Let n be b(p). Calculate a(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeggwge. Give prob of sequence wez.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*h + 55, 5759*p - 5762*p + h = 40 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*c**2 + 14090*c - 8445.\nAnswer: -5*(c - 563)*(5*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307 - 209. Let p = t + -99.95. Let o = p + 2.8. What is o rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 179.614 litres?\nAnswer: 179614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 266 = 218. What is the highest common divisor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -297*j**4 + j**2 - 8*j + 36727?\nAnswer: -3564*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -285, -286, -287, -288, -289, -290?\n\"Answer: -g - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.044 equal to 2\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/304587710 and 43?\nAnswer: 304587710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -0*d + 4*d + 3*u, 5*u = -5*d + 275. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(75) + sqrt(75)*3)*-4 - (sqrt(75) + (sqrt(75) + -2)*5)))**2*-1.\nAnswer: -582400 + 35200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f - 4*i + 396126, f = i + 79227. Let w = f - 246226. What is w rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 2*y**3 + 0*y**3 + (-2*y**2 + 5*y**2 - y**2)*(2*y - 5*y + 0*y) + (2*y**2 + 0*y + 0*y)*(-4*y - 3*y + y)*(-3 + 6 + 1).\nAnswer: -56*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.07.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i - 38. Suppose -26 = -9*l + 37. Let b be c(l). Solve -4*k + 18 = 5*a, 6 = b*a - 2*k + k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*r - l, 4*r + 2*l - 12 = 6*l. Suppose -r*f - f + 20 = 0. Solve f*h = q + 10, 4 = 5*h - 3*q - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((4768\/40)\/((-12)\/(-30)))\/(1*2). Which is the nearest to 0.03? (a) -2\/7 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*j - 2*h, 2*j - 52 = -5*j + h for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, w: 2, i: 2, k: 3, l: 1}. Give prob of picking 1 w, 2 k, and 1 l.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7066575 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 70. Solve z - 3*z = o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mgzmmggezm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 5. Let w be f(3). Suppose 0 = 6*h + 8 + w. Which is the second smallest value? (a) 0.4 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2. Let s(l) = -3*l**2 + 17*l + 17. Let b(p) = -p**2 + 6*p + 6. Let x(v) = -17*b(v) + 6*s(v). Determine 6*x(g) + z(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/10*-1)\/((-45)\/(-75)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -3359 in increasing order.\nAnswer: -3359, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(48) + -1.\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 39*k**2 - 1507*k + 120. Determine p(-63).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 4 + 2 - 1)*(-5063 + 5063 + 1153*l**2) in the form n + k*l + i*l**3 + s*l**2 and give s.\nAnswer: -3459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3 - 27*f**2\/2 + 66*f - 23. Suppose v(b) = 0. Calculate b.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-27) + 1188\/8019?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 - -4*(-2)\/8. Let v = -16 + p. Solve -3*c + v = 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-9)*(-14)\/49?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - (12 + 5 + -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -28aba?\nAnswer: 28aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g = 159*g - 2*p + 13, 27 = 2*g + 5*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 4*u**2 - 2*u + 4. Let v be f(-3). Let l be (2\/6)\/(v\/6). Let m(a) = l*a - 3*a - 2*a. Let s(g) = g. Determine s(m(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/14*(-8)\/2. Let t(u) = -3*u**3 - 9*u**2 + 11*u - 8. Let i be t(-4). Suppose 0 = -2*q - 2*q. Which is the closest to 0.1? (a) i (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = i. Let y(w) = -w**2 - 4*w + 4. Let f be y(i). Let a = 15 + f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 425 - 417. Solve 0 = 4*v - 3*d, 3*d = 2*v + 2 - t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(3\/17))**(-19) assuming b is positive.\nAnswer: b**(57\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 plus -0.053044?\nAnswer: 74.946956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 17*w = 2527. What are the prime factors of w?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.229052 to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5 + -1 + -2 + sqrt(405) + sqrt(405) + sqrt(405))*3)**2.\nAnswer: -197046 - 5832*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 8 + 80. Suppose b - 51 = -g. Solve y - l + 4*l = b, -5 = -3*y + l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244 - -488. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17385 and 5250?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302 - 1?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2313444*f - 29 - 23 + 2313446*f.\nAnswer: 2*f - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x**2 - x. Let l be k(1). Suppose -l*j = -15*j. Suppose 5*s - 105 - 125 = j. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + 0 + -2 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxccxcc. Give prob of sequence cxxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*n**2 + 269*n**2 - 548*n**2 - 1.\nAnswer: -4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -20*g + 1. Give h(-3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8334428 to the power of 1\/2, to the nearest integer?\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1416 divide 1852868568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32926, -131677, -296258, -526669, -822910?\n\"Answer: -32915*t**2 - 6*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(54)\/sqrt(3))\/sqrt(9).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 20 - (16\/48)\/((-1)\/21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 65*n - 2. Let p(q) = -q**2 + 4*q + 1. Let y be p(4). List the prime factors of i(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1177, -9448, -31939, -75766, -148045?\nAnswer: -255892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.019418 and 4.\nAnswer: 0.077672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10301320131 - -1?\nAnswer: -10301320130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)\/(3\/42). Solve 3*d - i + q - 4 = 0, -2 = -5*d - 3*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 20225*t**3\/3 + 45447822*t**2 + 306318306796*t\/3 - 306454670488\/3.\nAnswer: (t - 1)*(t + 6742)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.51 - -0.5. Put -5, -4, k in decreasing order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-236)\/10 - 2)\/(-17 - (-14266)\/840) and 1728.\nAnswer: 13824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (245\/(-5))\/7*-1*(-112)\/12152.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.7 times -2?\nAnswer: 461.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1633587923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (306\/(-3))\/2 - -4. Let s = w + 88. What is the remainder when 121 is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3321.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and -70 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -217570 (base 10) to base 15\nAnswer: -446ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(10\/5))\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*t = -66*t + 108. Suppose 4*y - t = w + 72, 2*y = 5*w + 72. What is the remainder when y is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 2*s + 6. Let i(g) = -g**2 + g - 1. Let p(q) = 4*i(q) + v(q). Let x be p(2). Let d(w) = -4*w - 2. What is the units digit of d(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(1\/9)*q**(-1\/7)*(q**(-1))**(2\/125) assuming q is positive.\nAnswer: q**(13624\/7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w + 2. Let j = -90 + 98. Let v be -8*(52\/j - 6). What is q(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcddbpbddccd. What is prob of sequence pdb?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.273148 rounded to 3 decimal places?\nAnswer: 3.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8)*-2*0\/(-2). Suppose 6*r - 24025 - 22277 = i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 3*b + 2*b**3 - 3 - 3*b + 1 - b**3. Let a be (-1 - (-1)\/2)*-10. What is s(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4 - 2*p**2 - 13.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 182*d + 323. Is 56 a factor of l(68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 4 = 0. Suppose 2*t + 2*d = 3*t - 10, -3*t = y*d - 30. Let b be (8 + -2)*t\/(-15). Which is greater: b or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -5 - 0) + -3 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 9 - 5)*(2503 - 2503 - 85*u)*(-u**2 - u + u).\nAnswer: 1530*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111121 + 20?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.458 (b) 10\/1289 (c) -3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 8) to base 9.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 881.74 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 21*d**3 + 10*d**2 - 40*d + 25. Let w(n) = -4*n**3 - 2*n**2 + 8*n - 5. Let g(m) = -2*h(m) - 11*w(m). What are the prime factors of g(5)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 206, 212, 220, 230, 242, 256, 272?\n\"Answer: g**2 + 3*g + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 12*m - 9*m + 6*m)*(-2*m - m + m).\nAnswer: -18*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 10*p + 12. Let n be j(-9). Let f(o) be the first derivative of 0*o - 3\/8*o**4 + 1\/8*o**2 + 1\/12*o**3 - n. Factor f(m).\nAnswer: -m*(2*m - 1)*(3*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {c: 3, l: 1, h: 1, a: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 42*s + 2 + 42*s.\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1799 - -2802. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*x**2 - 324*j**2*x + j*x**2 - j*x wrt x?\nAnswer: -4*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564 - 556. Let r(i) = 2*i - 14. What is r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42036?\nAnswer: 2, 3, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44\/9 in -8, -2\/9, 37, 3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from eoeoegeoeooooeo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1, -17, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*(-10)\/(-50). Let p be (4\/(-28))\/((-2)\/(-6)). Sort m, p, -2\/7 in decreasing order.\nAnswer: m, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpxp when four letters picked without replacement from {x: 1, p: 3, a: 4, z: 11}.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16606846 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - -1 - 1) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 60. Let k = 73 - s. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 55*i**2 - 22*i + 22. Let n(s) = 8*s**2 - 3*s + 3. Give -3*d(v) + 22*n(v).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1)*x*x))**(-1\/12)*(((x\/x**1)\/x)\/x*x)**(3\/5)*(((x*x\/(x*x**(-11)))\/x)\/(x\/(x*x**(1\/20))*x))**31 assuming x is positive.\nAnswer: x**(6219\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*x + 4386 = -1195 - 441 + 1060 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*r**2 + 78*r**2 + 15*r**2 + 16*r**2 + 50*r**2.\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.4 (b) 5\/3 (c) 0.02 (d) 6.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Let s(h) = -13*h. Let z(k) = -4*p(k) - s(k). Let b = 14 - 6. Determine z(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*n - 70, 0*n + 46 = h - 5*n. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4278 and 434930.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 261*o**2 - 90*o**2 - 661*o**2.\nAnswer: -1012*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36526, 37508, 40168, 45346, 53882, 66616, 84388?\nAnswer: 108038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158489.19 rounded to the nearest 1000?\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.5. Let t be (-21998)\/(-289) - (-2)\/(-17). Let k = 230\/3 - t. Which is the biggest value? (a) k (b) 2 (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1225 = 6*p. Suppose -2*v - 1 = 5*i, -v = -4*v - i - 8. Let y be ((12\/p)\/v)\/((-4)\/10). Is 1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*m - l, -2*m + 0*l + 31 = l. Suppose -5*p + 64 + m = -5*z, 5*z + 12 = p. 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 (9 + -5 - 1) + -9 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 684. Is a(40) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 4*c + 3. Let m = 1 - 5. Let t be h(m). Suppose -t*o + 5*b = -110, 0 = 3*o + o - 3*b - 132. Calculate the greatest common factor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3*c**6\/10 + 11*c**4\/4 + c**3\/6 - 40*c**2 + 1316*c. Find the second derivative of l(r) wrt r.\nAnswer: -108*r**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43064.\nAnswer: 2, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {m: 2, r: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-4*3)\/(sqrt(784)\/sqrt(8) - sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3101258 + -16011058. What is o rounded to the nearest 100000?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -20. What is the lowest common multiple of v and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 10, 0, 1 in ascending order.\nAnswer: 0, 1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2578*s**4 - 3419*s**2?\nAnswer: -61872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 3*o**2 - 3*o**2 + (15*o**2 + 8 - 8)*(4 - 5 + 0).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 24. Is 1\/5 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-222)\/(-12) + (-1596)\/1080 + 2\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 6*n. Let j be q(-5). Let s(u) be the first derivative of 1\/4*u**4 + 5\/2*u**2 + 5*u + 6 - 2*u**3. Calculate s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122461572 by -3.\nAnswer: 40820524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -3. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-25\/2)\/(y*y**(-27)))**(-2\/119))**(-3\/4) assuming y is positive.\nAnswer: y**(81\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*x**2 + 60*x**2 - 111*x**2 - 62 - 182.\nAnswer: -148*x**2 - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = -1715. Suppose 2*v = o - 129. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/84 + 647*k**3\/42 + 324*k**2\/7 - 992*k. Find x, given that v(x) = 0.\nAnswer: -1, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37062519 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 1332*a + 188524. Give y(-161).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 256 - -47 - (-8 + 0)\/2. Is 5\/((-15)\/6)*j\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 15. Give y(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 358523 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*j - y, j + 2*j + 2*y - 3 = 0. Let o be (-3)\/1 + j\/(-1). Let g = 1 - 1. Does g = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjjkjkkkjjkbjkjk. What is prob of sequence jj?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132838149 to six dps.\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37264 + 7c0?\nAnswer: -36884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 6 - 6*l**3 - 3*l**2 + 7*l - 1. Let d(n) = -n**3 - 2*n**2 + 4*n - 4. Let q(s) = 5*d(s) - 3*m(s). Suppose q(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.566468876 to 4 dps.\nAnswer: 12.5665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 72202.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 17*q**2 - 2*q - 17. Give p(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -3 (d) 0.0028 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 1 = 3*g - 3*z, 5*g + 3*z - 9 = 0. What are the prime factors of (g*133 + -2)*12\/12?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*11\/(-2 - -1). Let j = -19 - n. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -567, -738, -501, 144, 1197, 2658, 4527?\n\"Answer: 204*d**2 - 783*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149349117702 - 1203.\nAnswer: 149349116499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 287*v**2 + 188*v - 28198172?\nAnswer: 574*v + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56235325 to the power of 1\/2, to the nearest integer?\nAnswer: 7499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303496.937 rounded to the nearest 10000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -682 greater than -682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 2*b + 5. Let r be w(0). Suppose 2*l = -4*j + 10, -r*j - l = -2 - 3. What is the remainder when 11 is divided by -18*(2\/(-4) + j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-96)*8*-180.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 29*w - 9. Let s be x(8). Suppose -718 = -11*y - s. What is the remainder when 357 is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 69*z + 4*z**2 - 2 - 14 - 14*z - 67*z = 0. Calculate z.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.3, -2\/9, 5, -1150?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 57*i + 16 = 61*i, -4*i + 16 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -928 in -3\/7, 0.2, -5, 1.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1756? (a) 5\/2 (b) 51 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6535\/3 - 2157. Suppose -z - 26 = 5*x, -z = 4*x - 2 + 23. What is the common denominator of k and 4*z + (-447)\/(-99)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.8691cm to millimeters.\nAnswer: 938.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 506*c**3 - 1021*c**3 - 22*c**2 - 134 + 508*c**3 + 17*c**2 in the form o + g*c**2 + n*c**3 + l*c and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14. Suppose h*m = -4*m. Factor 0*c**2 + c + 2*c + m*c**2 - 4*c**3 - 1.\nAnswer: -(c + 1)*(2*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - 5) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119930*c*y - 2*c - 3*y**2 - 2*y + 253935 wrt y.\nAnswer: 119930*c - 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*p + 24818 = -5*p, -5*q = 5*p - 41430. Let z = 5899 + q. What is z rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 59621672 - 59621672.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2418 and 326534.\nAnswer: 30367662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -185, -207, -249, -317, -417?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307701376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x + 8. Let n(b) = b**3 - 4*b**2 - 19*b + 78. Let z be n(4). Determine q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 66*v + 22*v - 205*v**2 + 27*v.\nAnswer: -205*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, j: 1, d: 2, p: 2, a: 2}. Give prob of sequence op.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7240.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 1:32 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3*s - 27 = 0. Let t(h) = -4*h - 10. Let m be t(s). Let g(f) = -f + 16. Let u be g(11). Solve -u*z + m = -j - 0*j, 0 = -3*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5989*z + 1. Let q be g(0). Let i = -1 + -7. Let l = -5 - i. Calculate the highest common divisor of q and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2961819889.\nAnswer: 7, 67, 79, 79939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144250 (base 7) in base 6?\nAnswer: 333124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5\/(f**(-3\/25)*f))**(3\/4))**(5\/2) assuming f is positive.\nAnswer: f**(309\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 87477.\nAnswer: 1\/87477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 11*i**2 + 11*i + 15. Let n be c(-10). Suppose n*d = -15 + 145. Suppose -2*r = -4*v + d, 2*r + 15 = 7*r. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeqqeqpwqeqee. Give prob of picking 2 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -87704 > -87714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 13. Let z(s) = -s + 1. Calculate -l(n) - z(n).\nAnswer: -2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h**2 + h - 5*h + 81*h**2 + 26*h**2 in the form k*h + v + y*h**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 2*i**2 + 4*i)*(25112 - 6678 + 4808 + 15153 + 10539) to w*i + j*i**2 + u and give j.\nAnswer: -97868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*r - 88269 + 86565 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 14*a - 14. Let q be d(1). Suppose q = 2*w + 4, 2*w + 0 = 2*l + 12. Put -7, 1, l in increasing order.\nAnswer: l, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-21))\/(-4) - 2247975\/(-97335)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-3\/5)*o**(1\/16)*o**17*o)**(-1\/56) assuming o is positive.\nAnswer: o**(-1493\/4480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + 8. Let a(i) = -81*i**2 - 129. Let m(x) = x**3 - 35*x**2 + 61*x + 163. Let f be m(33). Give f*a(h) - 33*q(h).\nAnswer: -3*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3598*c*q**3 + 3*c*q**2 - 932*c*q wrt q.\nAnswer: -21588*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 9. Let n = 6 + h. Suppose n*p + 2*r = 70, -92 = -2*p - 2*p - 4*r. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(((f\/(f\/((f*f*f**0\/f*f)\/f)))\/f)\/f*f))\/f*f)**(-1\/26))**48*((f**(-2\/11)\/f)\/f*f**(-3\/2)*f)\/((f\/(f\/f**1)*f*f)\/f)**(-11) assuming f is positive.\nAnswer: f**(4997\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6476239?\nAnswer: 7, 11, 151, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + 11. Suppose 0 = 2*f + 2*f - m. Suppose 0 = 2*n - f - 3. Calculate the lowest common multiple of n and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h - 41 = 0, h = -2*o - 2*h + 68. Solve 4*s = 5*l - o, 32 = 4*l - 0*l - 4*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -550120250?\nAnswer: 550120243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -26197*i - 26212*i - 3 + 52417*i. Let h(y) = -7*y + 2. Give 6*h(z) + 5*o(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11504 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: Suppose 4*u - 12 = 2*v, 12 + 12 = -3*v + 4*u. What is v rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 13729?\nAnswer: 13733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - -3. Let p = -0.1 + v. Let x be 3*((-2)\/(-3))\/2. Sort -5, x, p in descending order.\nAnswer: x, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, -1 in ascending order.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224162364 to the power of 1\/2, to the nearest integer?\nAnswer: 56782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-42)*(-4830)\/7590.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1)\/sqrt(12) + 5.\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43625 rounded to two decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42010895 + -8916575. Let p = -62053069 - -42347389. Let s = t - p. What is s rounded to the nearest 1000000?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5280)\/320)\/((-7)\/(-14))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1472 - -794. List the prime factors of q.\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -774.3 to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 4*d**2 + 6*d - 6. Let s be f(5). Suppose 3*u = 3*t - 2*t + 7, 0 = -3*t - 3*u - 9. Put s, t, 2 in increasing order.\nAnswer: t, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 4*t**2 - 2*t**2)*(-11 - 128 - 116 + 18 - 76) to o*t**2 + m*t + k and give o.\nAnswer: 1565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q - 1\/18*q**4 - 1\/9*q**3 - 3 + 2\/3*q**2. Let j(k) be the first derivative of u(k). Determine o, given that j(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66266 + 2189 = -g + 2*s, -4*g - s + 256272 = 0. List the prime factors of g.\nAnswer: 79, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.0326.\nAnswer: -0.3586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 + 6*r - 6. Let z(y) = -3*y**2 - 3*y + 3. Calculate 4*b(h) + 9*z(h).\nAnswer: -3*h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-188)\/(-705)*170\/16.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**2\/2 + 12483*y. Let v(k) = -9*k**2 - 1. Let c = -1 + 2. Calculate c*v(r) + j(r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28.1 or -1.4?\nAnswer: 28.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 3*n - 3*n + (-3*n**4 + 4*n**4 - 4*n**4)*(-5*n + 5*n + 4*n) + 2*n**5 - n**5 - 5*n**5.\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -102.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 166*o + 326. Let a(z) = -20*z - 40. Let v(q) = 17*a(q) + 2*s(q). Calculate v(6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*k + 32, -4*k + 3*t - 36 = -7*k. Solve 2*y = -5*a - 6, 13*a - y + 6 = k*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) 83 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-33 + 3230\/102)*(12 + 0)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 83*q**2 + 419*q - 7. Calculate i(5).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017692956 rounded to 6 decimal places?\nAnswer: 0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15 + 16*c + 16 - 30. Determine q(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-35))\/((-6)\/20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*17\/102*2\/(-9)*-15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m - 12\/7*m**3 + 9\/7 + 3*m**2.\nAnswer: -3*(m - 3)*(m + 1)*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -1\/3*p**3 + 0 - 5*p**2 - 6*p + 1\/20*p**5 - 5\/6*p**4. List the prime factors of s(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/6*(-7083)\/(-1574)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -228*p**2 + 3648*p + 17. Calculate a(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 53*l**2 + 28*l**2.\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151637*s**3 + 173*s**2*u - 9*s*u - 42*s - 143*u + 27 wrt s?\nAnswer: -909822*s + 346*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1638\/12)\/(-7)*2*(-7)\/105?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + k - 78875308*k**2 + 78874980*k**2 - 3*k.\nAnswer: -328*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 28 = 16*d - 11. Let -52\/3*v**2 + 2\/3*v**d + 40*v + 150 - 8\/3*v**3 = 0. What is v?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 6*x**2 - 3*x - 8. Let q = 16 - 23. Let h be b(q). Let t = h + -11. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 958194, 3832615, 8623264, 15330135, 23953222, 34492519, 46948020, 61319719?\n\"Answer: -j**3 + 958120*j**2 + 68*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:38 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121b26 + -2?\nAnswer: 121b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -0.2902?\nAnswer: 3.2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 159120*a - 1265958720.\nAnswer: -5*(a + 15912)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4 + 2*n + 0 + (-4 + 4 + 2)*(3 + n - 3).\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/2016)\/(2\/(-36)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13979, 27781, 41583?\n\"Answer: 13802*j + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91012 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let c(r) = 25*r - 12. What is c(m(n))?\nAnswer: 25*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 247823159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:27 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35552 by 11.\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000550540642 to 5 decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let f(h) = -h**2 - h**3 + 0*h**2 - 2*h**2 - 6*h + 1. Let z(v) = -f(v) + 6*t(v). Let c be z(-2). Solve c*i = 5*u - 15, -2*u + 4 + 1 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 191548 - 191548.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-1)\/(1 - 2). Let k = 0.268 + -0.768. What is the nearest to -0.1 in -1, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 46*n**2 - 59*n**2 - 5*n + 2*n**3 + 15*n**2 - 4*n**4 to o + f*n**3 + m*n**2 + p*n + q*n**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o + 46. Determine p(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) - (-891)\/45. Suppose i + j = 6*i. Let t(k) = -4 + i + 2*k. Let f(a) = -a. Calculate t(f(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/58 in 2\/9, -0.1, 0.4, 2, 6, -12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1538 - -3429. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021831 a multiple of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d**2 + 5756296*d - 69257879?\nAnswer: -14*d + 5756296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*s - 892 = k, -5*s - 5 = 0. Let j = -892 + k. Solve -2*r + 10 = i, -j*r - 2*i + 24 = 2*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300343629.\nAnswer: 3, 100114543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2498, 8852, 19434, 34238, 53258, 76488?\nAnswer: 103922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2 = 3*j + 85, 140*q - 79*q + 5*j + 42 = 62*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19\/(-9))\/(28\/(-462)). Let g be 2 - 3\/((-90)\/802). Let l = g - y. What is the common denominator of l and -31\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.7. What is the nearest to -3 in -0.5, x, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -109 + 41 + 88. Solve -3*n - 5*j - 29 = -7*n, j + 3 = -m*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439850099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -310*p**3 - 40*p**2 - 120*p. Let r(v) = v**3 + v**2 + 24*v. Let t(o) = -k(o) - 5*r(o). Let n(z) = -51*z**3 - 6*z**2. Calculate -35*n(w) - 6*t(w).\nAnswer: -45*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 409 - 18 = -5*c, 0 = 5*c + 4*t + 411. Let p = c - -510. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose 0 = 2*i + 2*b - b - d, -4*i + 9 = -b. Let n(z) = 2 + z**2 + 4*z**2 - z**i + 7*z. Let f(u) = 2*u**2 + 4*u + 1. What is 5*f(q) - 3*n(q)?\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -502818.\nAnswer: -41\/251409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*h - 2 = -h, 0 = k - 5*h - 27. Is (-2)\/k - 79\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3270, 10237, 21862, 38151, 59110, 84745, 115062?\n\"Answer: q**3 + 2323*q**2 - 9*q + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:10 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369 is divided by 591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z + 1422 = 4*o, 2*z = -3*o + 1424. Let u be z\/30 - 1\/(-6). Sort 0, 3, u in descending order.\nAnswer: u, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = u + 512, -2*j + 3*j + 3*u - 242 = 0. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -1283, -1903, -2503, -3077, -3619?\nAnswer: -4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from ggggccggg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7653184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 2, l: 1}. What is prob of sequence km?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 2*a**3 - 3*a**3 - a**2 + 4*a**3 + 3*a + 3 + 2*a**4 to j*a**3 + h + y*a**2 + l*a**4 + s*a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 762\/108)*(-16)\/(-2)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458250 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-0.087.\nAnswer: -0.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20731 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 19. Let a be 1 - (-4 + 3 + -10). Let z be t(a). Suppose 3*i - 15 = -2*i - z*q, -q + 12 = 4*i. What is the remainder when 6 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 6*s + 0 + 0 to the form r + l*s and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-14)*c)\/(c**(2\/39)\/c*c))**6\/((c**(-3\/2)*c**5)\/(c**(-3)\/(c*c\/c**(-7)*c*c))) assuming c is positive.\nAnswer: c**(-2491\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, -3*m = 4*r - 7*m + 24. Let q be 4\/r*(0 + -6). Let u(y) be the second derivative of -y**4\/12 + 2*y**3\/3 + 3*y**2\/2 - 3*y. What is u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8848938g to milligrams.\nAnswer: 884.8938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71862136 + 71835291 = 455*c for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1002*g**4*m**3 + 255*g**2*m**3 + 2*g*m + g + 2*m**3 + 4222*m**2 + 1 wrt g.\nAnswer: -12024*g**2*m**3 + 510*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -5*g + 7*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19051*w**6 - 21246*w**2.\nAnswer: -2286120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/1367 + 8073\/1290448. What is the biggest value in -2, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 22 = 2*h, 5*h - 9 = -5*m + m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k - 4*k - 3*k - 8. Let a(x) = 2*x + 1. Let c(b) = -4*a(b) - z(b). Let d(l) = l - 5. Determine 5*c(w) + 4*d(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 3074.079?\nAnswer: 9222.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, n: 5, a: 2}. What is prob of picking 2 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*3\/(-6) + 60506\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7) + 4 - -1*-2*sqrt(7)) + 4)**2 + -2.\nAnswer: -20*sqrt(7) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 184 + -3?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 46. What is the second derivative of 60*j - r*j + 9*j**3 - 16*j wrt j?\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -338, -502, -664, -824, -982, -1138?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1519 = -4*d - d + 4*p, 3*p + 1523 = 5*d. List the prime factors of d.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590977027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(96)\/sqrt(2)*6 - (sqrt(48) + (sqrt(336)\/(sqrt(49)\/sqrt(7)) - sqrt(48)))) + 4.\nAnswer: 9 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 28 = 2*c. Let b(h) = -8*h - 6 + h**3 + 3*h + c. Let u = 8 - 5. Let t(k) = k + 1. Determine u*t(o) + b(o).\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2\/311, 5, -10, -0.5 in descending order.\nAnswer: 5, 1\/7, 2\/311, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6219 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*l**3 + 155*l**3 - 84*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9206303*h**5 - 8074379*h**2 wrt h.\nAnswer: -552378180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -12153506.7?\nAnswer: 486140.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 1. Suppose -2*s - 5*s + 1302 = 0. Suppose -3*y - s = -5*z, z - 3*z - 2*y = -84. What is the remainder when z is divided by o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3559*s + 94. Is m(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 + 10 = 0. Let t be (f - -1)*(-18)\/4. Let n be (1 + (-3)\/t)*-3. Let x(a) = -3*a - 3. Give x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1809?\nAnswer: -1\/1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d**2 - 2*d)*(-2 - 1 + 7).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p**2 + 3*p)*(3*p + 2*p - 6*p) - 1 + p**3 + 1 + 5 - 4 + 0 - 3*p**3.\nAnswer: -4*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7395)\/102)\/(-29)*(-8)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281\/7 + 40. Is n != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-4))\/((-3)\/102). Calculate the greatest common divisor of 51 and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 62*d**2 - 159*d + 2975. What is u(30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + ((-76)\/36 - -1). Let i = -0.184 + -0.016. Sort i, t, -2.\nAnswer: -2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)*r**(-6)*r)\/(r**6*r*r**(-1\/7))*((r\/r**(-5))\/(r\/(r**1*r)))**(18\/7) assuming r is positive.\nAnswer: r**(545\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -34, -56, -78?\n\"Answer: -22*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(h**0\/h))\/h))\/(h*h**(-1)))\/(h\/((h\/(h**0\/h))\/h*h)*h)**(-19\/5))\/((h**(2\/7))**(-49))**31 assuming h is positive.\nAnswer: h**434","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-110 + 171 + 166)*(0*l - 5*l + 3*l - 12*l + 7 - 7 + (-2*l + 2*l + l)*(0 - 2 + 4)) to t + n*l and give n.\nAnswer: -2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 1, m: 2, l: 6, k: 3, c: 6}. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50368*q**2 - 6*q - 7*q + 11*q + 50205*q**2.\nAnswer: -163*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(242) + sqrt(242) + -2) + 2 + ((sqrt(24) + 4*sqrt(24))*3)\/sqrt(12))**2.\nAnswer: -816*sqrt(2) + 5266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -3 + 0 + -5. Let w be 1 + 7 - (20\/f - 0). Let t be 735\/(-12) + w\/(-16). Which is greater: t or -63?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 6. Let m(j) = 11*j + 11. Let r(l) = -4*m(l) - 9*u(l). Let z be r(-7). Suppose 3*v - 3*i = -2*i + 82, -z*v = 4*i - 92. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:25 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404*h**3 - 328*h + 520 - 520 + 51*h wrt h?\nAnswer: 2424*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 0*i + 3*i + (1 - 3 + 0)*(0 + i + 0) - i - 5*i + i - 4 + 6*i + 4 - 5*i + 95 - 95.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/120 and 97\/4092?\nAnswer: 40920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21389? (a) -0.4 (b) 2\/3 (c) -1\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1155\/37 and -105 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -0.19. Let i be 3 + 0\/1 - (-34)\/17. Which is the smallest value? (a) -3 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 882*r**2 + 4120*r**4 + 848*r**2 - 1730*r**2 + (3*r - r - 3*r)*(r**3 - 2*r**3 + 0*r**3) as p*r**2 + b*r**3 + i + a*r + z*r**4 and give z.\nAnswer: 4121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -20102201?\nAnswer: -20102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 + 3*u**4 + 5*u**3 - 3*u**2 - 4*u = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*x - 15 = 0, 5*x + 5 = 4*y - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167 + 5?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/137, 209, -5?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:54 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*h**2 + 38*h + 3670 wrt h.\nAnswer: -30*h + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*q - 53, -5*p + 1633 = -4*q. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -396 - -949. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1786617017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14*m**2 - m + 99*m**2 - 64*m**2 - 2. Suppose -2*x + 4*x - 13 = 5*t, -5*x + 25 = -5*t. Let l be g(t). Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = 5*t. Let v = -78.954 + -0.046. Let h = 78 + v. Sort h, t, -0.2.\nAnswer: t, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(-206 + 6129160\/29748).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = 45 + 57 + 108 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 785128 = -7*i + 43*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = w + 5*q, -3*q + 2*q - 251 = -2*w. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 195, 240, 267, 270, 243?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 76*i + 2. Let c(r) = -38*r - 1. Calculate 9*c(v) + 4*p(v).\nAnswer: -38*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59225210.4 rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-11\/3))\/z)**(7\/4)*(z**(1\/12))**(-43) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91581081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35536, 35459, 35398, 35359, 35348?\n\"Answer: z**3 + 2*z**2 - 90*z + 35623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 735907333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Let c = 8 - b. Suppose c = -2*s + 56. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*n - 8, -5*n - t = t - 13. Let r(w) = -w**2 + 27*w + 1078. Let f be r(49). Solve -2\/9*v**n + 4\/9 + 2\/3*v + f*v**2 = 0 for v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = x. Suppose -m + 5*r - 2 = 0, 3*r + 0 + 6 = -x*m. Let a be 6\/(-18)*(-29 - m). Solve -l - 2*l + a = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 59 = -853*y + 849*y, 5*y - x = -52 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(441)\/sqrt(7))\/(-3*sqrt(36) - sqrt(9)).\nAnswer: -4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4705790 to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 698 and 81317?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 9*q + 11. Let i(c) = -2*c**2 - 5*c + 6. Calculate -4*g(m) + 7*i(m).\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -17941907.\nAnswer: -3\/17941907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 2 + 0*r - 5 + 0*r**2 - 2*r.\nAnswer: (r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibibbbibiiivbi. Give prob of sequence biiv.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/2 - 12005925*z**2\/2 - 36035504749683*z\/2 + 324320515227801\/2 = 0.\nAnswer: -6002967, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 216*l - 7673. What is q(45)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1862, -1829, -1820, -1847, -1922?\n\"Answer: -2*a**3 + 47*a - 1907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -1, -21, -49, -85, -129, -181?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mii when three letters picked without replacement from iiimiimmiiiiiiiii.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 7451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1 + (-1 + -7 - -8). Suppose 519 = -0*j + q*j. List the prime factors of j.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 905*t - 5.\nAnswer: -905*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/2 + (-715617)\/(-89337)\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17393078161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*r - 4*h, -3*r + 2 + 4 = 3*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-44)*81\/((-11745)\/(-232)).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 - 4. Let p(y) = 4*y**2 - 3*y - 2. Let w(b) = 11*b**2 - 8*b - 5. Suppose -2*m + 17 = 1. Let q(a) = m*p(a) - 3*w(a). Calculate 3*q(h) - s(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 11. Let r(x) = -x - 2. Let d(h) = 11*r(h) - 2*v(h). Let j(p) = -6*p + 3*p - 3*p. What is d(j(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832) - (sqrt(208) + 1 - sqrt(13))) + -4*3*sqrt(637))**2*4.\nAnswer: 324532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21)*o*o*o**31)\/((o**(-2\/3)*o*o)\/(o\/o**(-1\/33))) assuming o is positive.\nAnswer: o**(386\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2106646, -2106644, -2106642, -2106640, -2106638?\n\"Answer: 2*v - 2106648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 9*c + 10. Suppose c*b - 5*q - 55 = 0, q + 2*q + 46 = 4*b. What is the remainder when b is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267d (base 14) in base 11?\nAnswer: 50aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 41.04. Let h = -1.79 - r. Round h to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 271424224 and 135712112.\nAnswer: 271424224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 20 = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l*n**2*p + 2*l*n**2 + 30*l*n*p - 3*n**2*p + 62*n**2 wrt p?\nAnswer: -3*l*n**2 + 30*l*n - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/57 + 2 - 1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3740476 to the nearest integer?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 1. Let a(j) = 6*j - 11 - 27*j**2 + 14*j**2 + 11*j**2. Let l(x) = -a(x) + 3*p(x). Give l(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.252027054 to 4 decimal places.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1 + (4 + 0 - 2)*(2 + 1 - 1) + 16 + 6 - 40)*(1 - 2*p - 1).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-16) + 225\/(-396). Let y(v) = v - 10. Let h be y(5). What is the nearest to 28 in 0.4, h, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19734*p. Let l(z) = -z**2. Calculate c(l(u)).\nAnswer: -19734*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 16*b - 161. Let v be h(10). Let j(p) = 17656*p**3 + 6*p**2 + 2*p + 1. Let w(s) = s**2. Let o(m) = -j(m) + 6*w(m). Is o(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8520.7 + -8521. Which is the biggest value? (a) 13.2 (b) 2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o. Let b(i) = 122*i**2 - 1589*i. What is b(v(a))?\nAnswer: 4392*a**2 + 9534*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/(15\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 141212?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 36 - 56 = 0. Suppose -k - v*k = -5. Solve 1 = l - k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-25)*-10*(-72)\/(-64)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - o**3)*(-1413 + 4260 - 1427 - 1216*o - 1420).\nAnswer: 1216*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10063*n - 30028. Determine b(-3).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2. Let p(x) = 7*x**2 + 2*x. Determine b(p(y)).\nAnswer: -147*y**4 - 84*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10218, -1203, -2.\nAnswer: -10218, -1203, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.687*0.1329424.\nAnswer: -0.0913314288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -342*q**2 - 23*q. Let m(o) = -2*o. Determine p(m(z)).\nAnswer: -1368*z**2 + 46*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3808 and 295392?\nAnswer: 2067744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 4*v**2 + 2*v - 7. Give n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 911294623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -28 - ((25 - 80) + 62)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 50 - 162 = 0. Let r be (-10)\/(-8) + 3567\/116. Suppose 3*p - r = w, 4*w + a = 4*p - 12. Calculate the greatest common factor of p and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.59 minus 0.6053724284?\nAnswer: 26.9846275716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 11, 1 in decreasing order.\nAnswer: 11, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 7*n**2 - 6*n + 5. Let j be k(-6). Let z(m) be the first derivative of 0*m - 3\/2*m**2 - 18. Let s(y) = 4*y. Give j*s(p) + 6*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.40304 rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adaaaaalaaa. What is prob of sequence aald?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2353*z**3 - 1176*z**3 - 1175*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 2.002.\nAnswer: 0.22022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-4)*-2*-12 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12575 + 9*a - 3*a + 12576)*(4 + 3 - 4).\nAnswer: 18*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - 239)\/3)\/((-7)\/(-28)). Calculate the remainder when 117 is divided by r\/(-10) - 3*2\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905592109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2935100 or -2935105?\nAnswer: -2935105","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + m = -13, -m + 4 = 4*f - 10. Let v(c) be the first derivative of -c**4\/2 - 2*c + 1105. Let t(i) = -4*i**3 - i**2 - 4. Give f*t(x) - 5*v(x).\nAnswer: -2*x**3 - 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 149*m + 132. Let u be w(9). Suppose 0 = 9*f - u - 3234. Does 36 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 26*y**2 + y**4 - 19*y**2 + 46*y**2 - 4*y**3 - 1425*y + 0*y**3 to w + j*y**3 + v*y + d*y**2 + z*y**4 and give v.\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 188352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*-1)**2 + 5)*6.\nAnswer: 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1095*p + 49 = 1102*p. Let k(m) = 43*m + 7. Let o(g) = -21*g - 3. Calculate p*o(j) + 3*k(j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, 4, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)*y**29*(y**37*y*y)\/(y*(y**41\/y)\/y*y) assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b**2*t**2 - 60*b**2*t + 2*b**2 - 13*b*t**2 + 22*b - 1983 wrt t?\nAnswer: 16*b**2*t - 60*b**2 - 26*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50275 = 129*m + 1882*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171915807.\nAnswer: 3, 7, 239, 34253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = 5*x, -3*x = 2*z - 2*x. Suppose 0*s = 3*s - 5*r - 16, -2*s - r + 2 = 0. Let l = s - z. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, 20, -1 in decreasing order.\nAnswer: 20, 18, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 2*c + 35 - 116 + 81.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11705 + 46823\/4. Let g = -1.5 - -0.7. Which is the closest to w? (a) -3 (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:27 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52073 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*c - 24, -255*x - 30 = -5*c - 253*x. What is the third smallest value in 2.9, 2, 0.4, c?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1596 and 7.\nAnswer: -11172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2 (c) -3 (d) 0 (e) 2\/7 (f) 63 (g) -209\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b. Suppose -4*m = -4*x - x - 6, -x - 6 = -2*m. Let f(r) = r. Let y(g) = -2*g. Let j(w) = x*y(w) + 2*f(w). Calculate q(j(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -23237 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (63\/14)\/(3\/2). Let k(s) = -3*s - 4*s + l*s + s. Let p(q) be the third derivative of -q**5\/20 - q**2. Give k(p(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/689866 and 38\/9635.\nAnswer: 3449330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 25. Let i(n) = -n**3 + 4*n**2 + 4*n + 3. Let r be i(5). Let z be (-29)\/r + (-2)\/(-4). Let a be s(z). Solve 2*k + 0 + a = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 - 1489\/7. What is the closest to -1\/14 in w, -0.4, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11512*x = 95665 - 728825 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 - p - 3. Let f be h(-5). Let r(m) = -2*m + 5*m**2 + f*m. Let x(g) be the second derivative of -g**4\/12 + g - 44. Determine r(x(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30789443*g**2*w - 3*g**2 - 2*g + 258 wrt w.\nAnswer: -30789443*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -0*g + 3*g. Suppose 2*o - g - 36 = -5*c, 4*c + 2*o - 90 = 0. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 + -74. Suppose -10*u + 280 = i. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -61*l - 1525. What is a(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2246, 126 in increasing order.\nAnswer: -2246, -2, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14144043 - -1?\nAnswer: 14144044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 2 - 1)*(0 - 8 + 2) + 0 + 4 - 3)*(1 - 4*t - 1) as n*t + a and give n.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = -5. Let n(h) = -h + 2 + 5*h**2 - h**3 - 7*h + i*h**2. Is 15 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - a - 65 = 0, -5*n + 114 = 4*a + 438. Let y = 100 + n. Let z be y\/9 - -1*81. Calculate the highest common factor of 34 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 7*p + 6*p)*(0 - 3 + 2 + (4 - 3 - 2)*(0 - 3 + 2) - 3 - 4 + 5 + 2 - 4 + 3).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**8\/3360 - c**7\/840 + c**5\/120 - c**4\/48 - c**3\/6 + 2*c**2. Let p(j) be the first derivative of w(j). Factor p(q).\nAnswer: (q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380\/570*(-45)\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 15*v**2 + 5. Let m be l(15). Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 115 - 4cd38?\nAnswer: -4cc23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8100039 + 0.81. What is w rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 786075, 786090, 786107, 786120, 786123, 786110, 786075?\n\"Answer: -u**3 + 7*u**2 + u + 786068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50 (b) 0.025 (c) -2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17*a**2 + 2*a**2 - 3*a**2. Let j(t) = -3*t**2 + 4*t - 2. Let z(n) = 14*n**2 - 18*n + 9. Let v(w) = 9*j(w) + 2*z(w). What is p(v(o))?\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 9*w**2 + 13*w + 23. Give v(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 + 4*x - 6. Let p be 0 + (0 - 12\/(-4)). Let c be r(p). Let v(g) = -3*g - 3. Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 + 0*v**4 + v**4 + 2*v**3 - 2*v**3 - 2*v**4 + (3*v - 3*v - 2*v)*(v**2 + v**3 - v**2) to q*v**3 + f*v + p*v**2 + z + x*v**4 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 9:59 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 195*b - 1158. Determine d(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -24*d + 1274. Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/(-68)*(-3)\/(90\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - z = 9, -4*b + 10*z - 5*z = -9. Suppose -2*l + 41 = -r, -2*l = l - 3*r - 69. What is the least common multiple of b and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 3*h**3\/2 - 11*h**2 + 45*h. Find the first derivative of f(a) wrt a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 3*o - 4. Suppose 8 = -2*x + 4*l + 30, 2*x + 2*l + 2 = 0. Let z = -74 + 82. Let u(c) = -4 - 2*c + z - 7. What is x*p(f) - 4*u(f)?\nAnswer: -3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.157942 millimeters in micrometers?\nAnswer: 6157.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 458409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uocs when four letters picked without replacement from yuyyscyso.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*l + 17644 = 0, l - 13219 = -3*t - 3*l. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 5 + 4*o**2 - o**3 + 5.\nAnswer: -4*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-7 - -28)) + (-2 - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 2, o: 1, i: 3, b: 1}. Give prob of sequence auib.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -7353 + 7345. Let h(k) = -45*k - 3 - 4 + 43*k. Give h(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1609148573?\nAnswer: 1609148573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20956559.\nAnswer: 13, 97, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/7, 1527 in descending order.\nAnswer: 1527, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 71, -0.08, 0 in decreasing order.\nAnswer: 71, 0, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.60059 * 0.2.\nAnswer: 17.920118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432030696 and 22636?\nAnswer: 432030696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 5. Let d(b) be the third derivative of -b**4\/8 - b**3 + 67*b**2. Give -3*d(c) - 4*g(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 less than -1.630748?\nAnswer: -444.630748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -139, 3\/4, -5?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -207239.\nAnswer: -13\/207239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 554463 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*n**2 - 30 - 73*n**2 - 29 + 139*n**2 to the form u*n + f*n**2 + p and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -123424?\nAnswer: -123415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 10*u**2 - 15*u - 4. Let c be x(8). What is the second derivative of 57*i**4 - 66*i**4 + 56*i**c + 71*i wrt i?\nAnswer: 564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*v = -195*v + 7*c + 12, 4*v = -4*c - 48 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3229270.8 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 13 - 7. Calculate the least common multiple of 8 and (10 + 4)*h\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z**3 - z**3)*(6*z**2 - 3*z**2 - 4*z**2) - 5*z**3 - 33*z**5 - 24*z**5 + 64*z**5.\nAnswer: 9*z**5 - 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-67)\/134*3*(-2)\/54).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 331580 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -967 + 963. What is the fourth smallest value in 17, a, -1, -2\/13?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876 is divided by 382.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -951ba (base 12) to base 8.\nAnswer: -575736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 296*k - 24695. Determine o(-70).\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c - 2. Let o be a(-6). Suppose 0*s - 4*s = o. Let f = s + 21. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669394 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-7\/4)*w*w*w)\/(w\/w**(-17)))\/(w\/(w**12*w))**33 assuming w is positive.\nAnswer: w**(1535\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5, -2\/5, -1, -4, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5595559 is divided by 542.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/(882\/(-24)))\/(-6))\/(27\/(-441))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1525*g*y**2 - 10*g*y + 2*g - y - 1 wrt y?\nAnswer: 3050*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 14 + 4 + -12 - -43\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2229556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than or equal to 5699689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52679972.\nAnswer: 2, 307, 42899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = p + 47, -2 = 5*p - 17. Suppose 2 - d = 2*f. Let l be (-6)\/14*12\/f. Is l less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**2\/2 - 11*k - 40. Let u be z(13). Solve -y = -u*y + 5*a - 11, 0 = -2*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-4)\/6 + 26988\/252 - 68\/(-119)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 10. Let g be (-2)\/(-5)*(-1 - 24). Let p be w(g). Suppose -4*l - 3*y - 35 + 206 = p, -5*l - 4*y = -214. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -139, 1, -7 in decreasing order.\nAnswer: 28, 1, -7, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50, -48, -32, 4, 66, 160, 292, 468?\n\"Answer: o**3 + o**2 - 8*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = 7. Let k = 1 + z. What is the highest common divisor of 80 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-351 - 349 - 1212)*(-3*p + 0*p + p) to x + u*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/8568 and 59\/6471.\nAnswer: 6160392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrrglggllg. What is prob of picking 1 r and 3 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 + 0*v**2 - 2*v**2 + 27*v - 27*v.\nAnswer: -17*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose i - 5*i + 48 = 0. Suppose -2*m - 12 = 4*q, 0 = 4*q + i. Solve 4*l + g + 2 = m, -n*l - 5*g + 3 = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38748 divided by -9687\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-3)*(-210)\/(-28). Suppose -4*j - 8 = -r. Suppose -2*a - 4*k + 10 = -22, -3*k - 53 = -2*a. Calculate the least common multiple of a and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6661481\/180 + 37008. Let j = -72223\/19032 - -5\/1586. Calculate the common denominator of d and j.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Let v(y) be the first derivative of -y**3\/2 - 17*y - 25. Let x(c) be the first derivative of v(c). Give a(x(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 107. Let b = -50 - t. Let m = 46 - 42. Put b, 0, m in decreasing order.\nAnswer: m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 - -23?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2331*x - 353 - 735 - 502 - 2332*x.\nAnswer: -x - 1590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/3, 2.43051, 1\/30, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 10. Let a be (-1)\/((-66)\/(-21) - 3). Let j be n(a). Suppose 0 = -3*o - q + j, -q + 2*q = o - 9. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*t - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -324*k**4 - 27396*k**3 + 68600*k**2 - 26416*k + 2784 = 0.\nAnswer: -87, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16 = 5*o. Suppose 3*n - 1 - o = 0. Suppose 25 = -n*r + 91. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3 + 362*v**2 - 49*v?\nAnswer: -12*v + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 27.1\nAnswer: -3.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*f**4 + 5*f**3 + 2*f**2 - 5*f + 492 wrt f.\nAnswer: 348*f**2 + 30*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus -4.333269411?\nAnswer: 4.293269411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6, 0 = 28*n - 25*n + a + 10. Let i be 49\/11 - (n + 9). Is i equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -83\/4 (c) 0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*j + 436*j + 429*j - 1733*j + 437*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2259522 take away 431?\nAnswer: -2259953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15162889 and 0.8?\nAnswer: 15162888.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 2375322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.22 - 0.98. Let q = -8.2 - z. Let a = q + -3. What is the nearest to 0.2 in 3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 14*l**2 + 2*l + 5. What is n(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 28*x**2 - x**2 - 2*x**3 + 35*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362 by -5.\nAnswer: -362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 14. Is c equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 66. Calculate the remainder when (206 - -1)*(136\/y - -6) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -50. Calculate the remainder when 49 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/8 + j**3\/2 + j**2 - 16. Let p(f) = 8*f + 9. What is -6*p(y) + 17*z(y)?\nAnswer: 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -594831?\nAnswer: 1\/594831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2982*q + 2447. Let o(l) = -1987*l - 1632. Let h(m) = 8*o(m) + 5*r(m). What is the derivative of h(p) wrt p?\nAnswer: -986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 2*q + 2145 + 4*q + 2547.\nAnswer: 2*q + 4797","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/66)\/(-1 - 4\/(-2))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q - 9 + 6 + 3.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 56 = 69. Suppose -5*u = 2*p - 5000, 0 = q*p - 10*p + 4*u + 12467. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/8 - 4\/((-16)\/190860) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 2151*x + 114199. Determine f(-56).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7+-1119.773\nAnswer: -1126.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 24.5. What is the nearest to 1 in -0.2, z, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 6*p + 7. Let m be n(-6). Suppose 1 - m = -3*c. Let b(w) = 0*w**2 + w**2 - c*w**2. Let y(h) = 3*h**2. Give b(y(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 3. Let i be m(-4). Let x(k) = k**3 + 5*k**2 + 6. Let g be x(i). Let w = g - 0. What is the remainder when 11 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96\/(-140) - 2\/(-5). Put 4, x, -3\/4 in increasing order.\nAnswer: -3\/4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 25*k**2 + 4*k - 5*k in the form j*k + g + q*k**2 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (258\/(-10)*(-1635)\/981)\/(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.9, -10, -2 in ascending order.\nAnswer: -10, -2, -0.9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107830 = 2*m + 3*m. Let k = m + -13280. Suppose k = 3*g + s - 2*s, s = -g + 2758. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 60*y**3 - 3*y**2 + 9*y - 4. Let a be b(2). Let s be (3\/3)\/(4\/(-1280)). Let c = a + s. What is c rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fulu when four letters picked without replacement from {r: 1, u: 5, j: 3, f: 2, n: 1, l: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -12. Let n = l - -4. What is the second smallest value in -2\/7, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -97*q**4 + 4*q**3 + 8*q + 106. Let w(f) = 194*f**4 - 7*f**3 - 14*f - 211. Let l(s) = -7*c(s) - 4*w(s). Differentiate l(i) with respect to i.\nAnswer: -388*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cybqtcqy. What is prob of picking 1 y, 1 b, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 1, j: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4312.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015838668 to seven decimal places.\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) 2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/102 and -17\/1912.\nAnswer: 97512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.444 or -826?\nAnswer: -826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -22*l**2. Let q(d) = -11808439*d**2. Give q(v(c)).\nAnswer: -5715284476*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q - 3*q - 9*q. Let n(k) = 28*k**2. What is i(n(l))?\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/125983 and 91\/885405.\nAnswer: 126612915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*j + q + 65 + 162 = -991*j + 2*q, 5*q = -5*j + 135 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6*x + 20. Let k = 10 + x. Suppose 15 - 5 = -k*h. Is h bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-23 - -32) + (-3 - -3) + 6 + 32.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - (1 - -6)) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17315\/9331 - -2\/1333. Sort k, 2\/5, 4 in increasing order.\nAnswer: 2\/5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 954.3205.\nAnswer: -9.543205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027221513?\nAnswer: 3, 379, 903449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let q(g) be the second derivative of 28*g**3\/3 + 6*g + 4. Determine p(q(z)).\nAnswer: 6272*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, e: 2, n: 1, o: 2}. What is prob of sequence poo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 2, n: 2, y: 1, l: 1, g: 2}. What is prob of sequence gg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-540)*153)\/((-15)\/90).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u. Solve u = -5*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208 + -85\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*m + 2*m = -356410, -3*i - 267315 = -3*m. What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*u**3 - 2*h**3*u + h**2 + 12*u**3 wrt h.\nAnswer: 84*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242940 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/4 + o**3 - o**2 - 3*o. Let q be r(4). What is the highest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 63 = -70 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25*v**3 - v**2 - v - 1. Calculate the remainder when 71 is divided by u(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*h - 9. Suppose 7*v + 14 = -h. Find the common denominator of (v\/(-40))\/(1\/13) and -95\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40200727*h**3 + 40200728*h**3 + 0*h + 0*h + 0*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 14) to base 7\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 9*z - 3. Let m be 2\/(-4)*-2*-8. Let l be w(m). Let n(k) = k**2 - 3*k - 2. List the prime factors of n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 3*v**3 + v**3)*(4 - 5 + 0) + 7*v**3 + v**3 - 2*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 + p**5\/15 + p**4\/8 + 2*p**3\/3 + 2*p**2. What is the units digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**5\/20 + h**4\/8 - h**2\/4 - h\/4 - 68. Let s(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 5. Let b(z) = 2*z**3 + 3*z**2 + 21*z - 15. Let w be b(6). Let m = -645 + w. Determine g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjjjnjjjn. What is prob of sequence njjn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -10 - 2. Suppose 4*p + 29 = v*q, -p - p + 31 = 5*q. What is the remainder when 7 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from itddxuim?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200210 - -11?\nAnswer: -200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/2 (c) -34\/79 (d) -0.4 (e) 0.5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46793179 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567*g = -583*g + 6800. Let z = g + 969. List the prime factors of z.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - y + 66*y**2 + 0*y + 0*y - 2 in the form p*y**2 + z*y + m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947598933.\nAnswer: 3, 315866311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 177579183 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.26 (c) 21\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 2*t + 7. Calculate the remainder when 227 is divided by w(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1685*w - 12458*w + 877*w - 2397*w.\nAnswer: -12293*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*l + 23. Let f = 0 - l. Factor 9*o - 3\/2*o**f - 27\/2.\nAnswer: -3*(o - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 5}. Give prob of picking 2 n and 1 p.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rywrtyrrertwrwhrht. Give prob of sequence ywhh.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y + 3157 = 151445. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) 4 (c) -1\/17 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64324322.\nAnswer: 2, 397, 81013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 - 1 = 0. Let t be ((-3)\/(-6))\/(x\/24). Suppose 0*o - 2*o = -t. What is the lowest common multiple of o and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.4 times 0.2286?\nAnswer: 51.98364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212303 + 3?\nAnswer: 212311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1800) - (sqrt(1800) + sqrt(1800) + -1*sqrt(1800) + sqrt(1800))) + sqrt(1800))\/(sqrt(180)\/sqrt(9)))\/(2*(sqrt(200) + 3*sqrt(200))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 5*u - 1. Suppose -8*o = -o - 280. Let m = o - 32. What is the lowest common multiple of z(2) and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21470\/663 - -422\/13. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10479 - 125. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttut when four letters picked without replacement from {t: 7, u: 1, k: 1, l: 6}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*y + 1338 + 5130 = 0 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4\/4 - 42243*o**3\/2 + 148367424*o**2 + 9537508611*o\/2 + 18481463037\/4 = 0. What is o?\nAnswer: -31, -1, 14097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -49. Suppose -2*z - 4*i - 3 - c = 0, -5*z - 5*i - 10 = 0. Factor 2\/7*o**z + 0 + 2\/7*o.\nAnswer: 2*o*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -9, 0 in ascending order.\nAnswer: -9, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 651.2 + -651. What is the third smallest value in x, 0.1, -5, 2\/51?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 77028?\nAnswer: -1\/19257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4104 in 5, -7, -1\/11, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 128765 = -0*j - 2*u, -128771 = -3*j - u. Let o = 64884 - j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 11:05 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100.5 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*-88.359\nAnswer: 88.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -33*l - 26*l. Let x(g) = 16*g**2 - 4*g - 9. Is x(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*x - 5*o, 990*o - 994*o - 12 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 361, 3, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 11*n + 101. List the prime factors of r(9).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 + 6522*g**2 - 5307264*g - 15980544 = 0. Calculate g.\nAnswer: -3, 1632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 569 + -218. Let c = -346 + j. What is the second smallest value in 2\/3, 92, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**3 + 6*t. Let r be 5\/((-15)\/33) - -2. Let y be -4 - (-1 - (-1)\/1). Let o(c) = -13*c**3 - 13*c. What is r*z(u) + y*o(u)?\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1961*h**2 + 11965*h**3 + 1 - 11968*h**3 + 2*h - 631*h**2 to the form r + y*h**3 + v*h + u*h**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let o = 0 - -2. Let a be 3\/(0 + 2\/o). Let g(s) = -8 - a*s + 8. What is p(g(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -50?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1216*i - 2098*i + 1279*i - 2571*i**4 wrt i.\nAnswer: -30852*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 14 - (4 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/13)\/g))\/g**(3\/5)*(g*g**(-1\/7))\/(g*(g*g**5\/g*g)\/g))\/((g**(1\/3)*g)**(-2\/9)\/((g**(1\/4)\/g*g)\/g)**(16\/7)) assuming g is positive.\nAnswer: g**(-65291\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let d(w) = -w**2 - 9*w - 2. Let i(k) = -d(k) + f(k). What is the remainder when i(-9) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m**(-17))**(13\/3) assuming m is positive.\nAnswer: m**(169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 24 = -11*o. Let w = -1 - o. Let i = w - -8. What is the closest to 0.1 in 2\/5, 5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a0503 (base 12) to base 8\nAnswer: 15104323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Let s be m + 2 + (1 - -7). Suppose -4*j = -4*q - q - 27, 2*j + 5*q + s = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4728902.42 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.727 + -0.227. Sort -38, h, -9.\nAnswer: -38, -9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85475434 + 85475434 - 2*w**2 - 3*w**3 - 21*w + 6*w**4 in the form y + z*w + u*w**4 + f*w**3 + c*w**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let o(b) = -2*b. Let r(h) = -4*m(h) + 3*o(h). Let g(j) = -13*j - j - 7*j + 9*j. Determine g(r(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46604, 46606, 46608, 46610?\nAnswer: 46612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - 16\/(-9). Suppose 0 = -3*a - j*r + 50 + 7, -5*r - 76 = -4*a. Solve -a + 3 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 7944 (c) -0.05 (d) 10 (e) -4 (f) 4\/3 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {f: 4, n: 1, r: 4, h: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/13))**16*(z**(-7)\/z)**(-14\/5))**(2\/135) assuming z is positive.\nAnswer: z**(96\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2912*u - 55637. Give v(19).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10824, 21640, 32454, 43266, 54076, 64884, 75690?\n\"Answer: -x**2 + 10819*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20251322.\nAnswer: 2, 7, 13, 111271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -25. Suppose k*d - 2*r - 74 = -0*d, -4*r = 2*d - 22. Suppose o - 5*o - 148 = -4*s, 5*o = s - d. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73230342943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - ((22 - 6) + 1)) + -62 + 2 - 1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -568070 to the nearest 1000.\nAnswer: -568000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, -1, -5 in descending order.\nAnswer: 24, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 60 + 35. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnnh when four letters picked without replacement from gnnhghjvgghghvghvj.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*g - 2*g. Let k be 10 + (g - 1) + 0. Solve 4*r - k = 5*m, 12 = -3*m + r + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4 + 2*u**2 - 6*u + 1. Let r(w) = -3*w**3 + 3*w - 5. Determine -5*c(j) + 6*r(j).\nAnswer: 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000293617128 to 5 dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62993 divided by 7.\nAnswer: 8999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 55, -3\/8.\nAnswer: -3\/8, 2\/3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5211 and 243?\nAnswer: 46899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1688, -7, 4 in decreasing order.\nAnswer: 1688, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3525?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*o**2 - 293*o**2 + 64*o**2 - 283*o**2 - 287*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + 89. Suppose 0 = l - 2*v - h, -2*v + 86 + 7 = l. Let i = l - 53. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 29*a**2 + a + 21. Let j = -7672 + 7643. What is s(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -61. Calculate the remainder when 26 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 454134, 28 in decreasing order.\nAnswer: 454134, 28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119266, 477101, 1073516, 1908511, 2982086, 4294241, 5844976?\nAnswer: 7634291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 295219?\nAnswer: 295218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 29 - 41. Suppose 4*t = c + 17, u*c - 7 = -2*t + 2*c. Solve -2*y = t*w - 20, -4*y - 5*w + 20 = -w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/7 - 146309232*s - 12487061631584064.\nAnswer: -3*(s + 170694104)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-14) + 4\/14. Let v be 234\/(-27)*(0 - z). Let o = v + 11. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -70. Suppose 2769 = 8*d - a*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -13?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 48 - 7479*z**2 + 22.\nAnswer: -7479*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12\/11, -0.1, 2, 236?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3234 - -28?\nAnswer: -3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25984717 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 22*c - 4*d + 13 = 0, 7*d + 26 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i + 4*i. Let z = -14 - -12. Let x be 0 + z*i\/10. Sort x, 0, -4.\nAnswer: -4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009720438 to six decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/8 - 27\/36. Solve r = -y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2049 + 2050. Let u(m) = -2*m**2 + m - 7*m**3 - 2 + 5*m**3 + 1 + m. Determine u(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/23)*o*o**(-1) assuming o is positive.\nAnswer: o**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4, -f = -h + f + 289. Calculate the highest common divisor of 475 and h.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(2\/7))\/b)\/(b\/(b*b\/b**(-6))))\/(b*b**(-2\/3)*b\/((b\/b**(-1\/5))\/b)*b))**(2\/9) assuming b is positive.\nAnswer: b**(962\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 + 4*z + 2. Let i be c(2). Solve 5*q = i + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 34467*q**2 + 2 - 34713*q**2 in the form o*q**2 + a + b*q and give o.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179726995*x**5 - 915425445*x**2?\nAnswer: 10783619700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1761 = -123*q - 66 + 228 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-43 + 40)*(-8)\/3. Suppose -5*i + 4*n = -817, -7*i + r*i - 2*n - 161 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.225709\nAnswer: 1.128545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-83)\/(-83))\/((-1)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22102)\/5*3\/138. Let k = f + -858\/23. Let q = -133 - k. Which is the smallest value? (a) q (b) 3 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmmmj. What is prob of picking 3 j and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.24326 and -2.\nAnswer: -4.48652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 377 + 208 = 0. What is the remainder when z is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/12 - 11*z**3\/3 + 21*z**2\/2 - 162*z. Factor y(b).\nAnswer: (b - 21)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -897 - -1795\/2. Which is the fourth smallest value? (a) 0.3 (b) 3 (c) 156 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1431*d*o**5 + 70*d*o**3 - 7*d*o - 250*d + 8*o**2 + 3*o wrt o.\nAnswer: -85860*d*o**2 + 420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0*b + 1\/6*b**3 + 15\/2*b**2 + 0 = 0.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of -5*(-1601)\/5 - (2 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 11 = 15. Let a be 6*(-30)\/24*f\/3. Which is greater: 12 or a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h - 11 - 2*h**3 + 10 + 12*h + 2*h**4 as q*h + s*h**2 + i + l*h**4 + r*h**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35524 + -284603\/8. Let q = -199890\/17 - -14333957\/1224. Let x = y - q. Calculate the common denominator of x and 10\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -21. Suppose -5*g - y*t - 13 + 103 = 0, -3*t - 56 = -2*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -882 or 9\/104?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5. Let l = 5 + s. Let m be 18\/(-22) + 1\/(-22)*l. Which is smaller: m or 37?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 - 3*t**2 - 2*t - 429. Let w(j) = 12*j**3 + 11*j**2 + 9*j + 1717. Calculate 9*u(f) + 2*w(f).\nAnswer: -3*f**3 - 5*f**2 - 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:28 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**0*r*r))**(1\/18)*((r*r*(r\/(r**(-1\/3)\/r))\/r*r)\/r)**(5\/2))**(-6\/7) assuming r is positive.\nAnswer: r**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30227 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -9, -43, -95, -165, -253?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7) + 71 + -57 - (-1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 7) to base 13.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 6*q - 1. Suppose 0 = h + 4*h - 4*w + 5, -h - 3*w = -18. Suppose 20 = -2*c - h*c. Does 7 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -6. Solve -5*i + g - 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483780 and 32010?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/10*(-8)\/6. Let d(x) = -x - 5. Let p be d(a). Let z be p\/((-27)\/(-12) + -2). Put 0.4, z, -3 in decreasing order.\nAnswer: 0.4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28159.74354 - -28206.82. Let m = 47.1 - r. What is m rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 - (12 - (-16 - -13))) - (3 + 37).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = -3*d + 57, 2*m + 3*d - 39 = 0. Calculate the smallest common multiple of 27 and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599791050.\nAnswer: 2, 3, 5, 19, 29, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*sqrt(539))**2.\nAnswer: 53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = 3*x + 5, -131 = -3*r - 32*r + 3*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46243192?\nAnswer: 2, 37, 156227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 11448 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30241611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*u - 2628 + 2236 = 3178 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3915802 divided by 32362.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203.\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-34)*j*j**(-1\/28)*j*(j*j**11)**(1\/5) assuming j is positive.\nAnswer: j**(-4149\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dys when three letters picked without replacement from {q: 1, s: 1, d: 2, f: 2, t: 1, y: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from xtxoonvnvxxoxxntox.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*j**2 + 21*a + 87*j**2 + 1 with respect to a.\nAnswer: -j**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r**2 + 2*r + 5*r**5 - 12*r**3 + 2*r - 5 + r + 2*r**3 - 5*r**4 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) -8 (d) -0.8 (e) -16 (f) -34 (g) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 7*i**2 + 4*i - 10. Let j be n(-6). Which is the biggest value? (a) 0.4 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (0 - -12) + (1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27*u**2 + u - 702. Let t(w) = 132*w**2 + 5*w - 3511. Let c(a) = 2*t(a) - 11*y(a). Find the first derivative of c(g) wrt g.\nAnswer: -66*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 - 304. Suppose -x = x + 6, -5*k = 2*x + 101. Let u = k - b. Calculate the highest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7048.762 rounded to the nearest 10?\nAnswer: -7050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let p(t) = -19567*t**2 + t. What is v(p(f))?\nAnswer: 39134*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f*f)**(-2\/33)*f*f\/((f**(-6)*f)\/f)*f**(-1\/13)*f)\/(f**3*f**(-9))**(-3\/11) assuming f is positive.\nAnswer: f**(3074\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + 6 + -1 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2 + 9 + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1110110011100?\nAnswer: -1110110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556 + 381. Let y be r\/(-546) + (-3)\/18. What is the biggest value in y, -2\/5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 + 5*h**2 - 4 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 6. Let d = 12 + -5. Let j be (d + -5)\/((-4)\/18). Let s be 9 - (j\/3 + 7). What is n(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5)\/(q**4\/q*q*q))\/(q**0\/q**(-1\/4)))\/(((q\/(q\/q**1))\/(q\/q**(-5)))\/(q**5\/q**(-4))) assuming q is positive.\nAnswer: q**(179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 z when three letters picked without replacement from xkzzgkzggkzz.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 2*k**2 - 4*k + 7. Let w be z(2). Let m be w + -3 - (-44)\/(-7). Let g be 21\/7 - (1 + 3). Is g bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose j = -s*j + 774. Let f = -1286\/5 + j. Which is the third smallest value? (a) f (b) -2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -12. Suppose k*d + 2*d - 40 = -5*y, 0 = -5*y - d + 24. Suppose 0*i + 40 = y*i. What is the greatest common divisor of 50 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)*h\/h**(-42)*(h*h*h*h**(3\/4)*h*h)\/(h**(-1)*h) assuming h is positive.\nAnswer: h**(131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - 5 - (-9 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6972 + -242. Let q = t + -3746. Suppose r + q = 9*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001096062 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oifosqq. Give prob of sequence so.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 221483.65 and -50.\nAnswer: 221433.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 5*v - 4771, -5*m = -6*v + 3*v - 2639. Calculate the remainder when m is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 13. What is the units digit of y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 + 0.3786.\nAnswer: 1.5786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-473)\/(-2) - (-23)\/(-46)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10339 is divided by 269?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w - 2*w - 3 + 3 + w + (2 - 2 + w)*(-1 + 2 + 0))*(2*w**3 + 4*w**3 - 4*w**3).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -28*v**3 - v - 1. Suppose -3*a = -2*i + 9, 4*i - a = a + 22. What is the remainder when y(-1) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -106.146. Let y = -2.954 - d. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 8, h: 1, z: 6}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1439.89117 - 161807.\nAnswer: -160367.10883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**2 - 14 + 192*t**2 - 45*t**2 + 14.\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 38*l + 14. Give v(7).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*h + 1 + 2, -4*h - 6 = -2*t. Let z = 0.2 + 0.8. Which is the biggest value? (a) z (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534816 is divided by 1587.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a - 12803 = 63*a. What is the highest common divisor of 236 and a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 6*l**3 + 17*l**3 + 21.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 3*i**2 - 9*i + 7. Let k be s(-5). Let g(n) be the first derivative of 0*n + 0*n**k + 1 + 1\/3*n**3. Let h(x) = 2*x. What is h(g(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0 + 0*t - 7\/6*t**3 - 4*t**2 + 1\/12*t**5 + 0*t**4. Differentiate b(d) wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.4, 5, -2\/9 in decreasing order.\nAnswer: 5, -0.09, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**3 + 2*y**2 - 5*y - 4. Let d(c) = -9*c**3 - 2*c**2 + 4*c + 3. Let l(v) = -4*d(v) - 5*r(v). What are the prime factors of l(-4)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 - 2 = -4*c, -5 = -c + 3*t. Suppose -283 = -5*z + j, j + 3*j + 124 = c*z. What is the remainder when z is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 + 6*j + 3. Let i be v(5). Suppose 4*k = -i*k + 324. Suppose 2*c - k = -17. Solve 9 = -c*d - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus -16?\nAnswer: -15.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.63 in 369\/7, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjxxjjjjxjjjxjjjx. Give prob of picking 2 x.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in 0.1, 0.5, -44, 0, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 431.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510 divided by 5?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-18)*2*2\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + 399\/(-33) - 2122\/11. Let q = x - -225. Calculate the highest common divisor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/488094 and 25\/54.\nAnswer: 4392846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48266, 48261, 48244, 48209, 48150, 48061, 47936?\nAnswer: 47769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18230840 and 238640.\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*c + 140, -3*l + 250*c = 247*c - 372. Calculate the lowest common multiple of l and 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*d + 5 = 17, 0 = r + 4*d - 12. Suppose 3*s - 50 = -2*s + r*h, 5*h = -4*s - 1. Let z = s - 2. Solve -w - b - 2*b - 15 = 0, b = -z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(610\/(-46) - -13)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -31) + (3 - 3) + -34 - 1 - 8\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 38151368*c**2. Let t(k) = k**2. Calculate y(t(r)).\nAnswer: 38151368*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 18554484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:58 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -30\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 128*j**3 + 53*j**2 + 280*j + 238. Let y(h) = -57*h**3 - 26*h**2 - 139*h - 118. Let p(l) = 4*q(l) + 9*y(l). Find b, given that p(b) = 0.\nAnswer: -11, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 114?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3228368 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 109372?\nAnswer: 2, 37, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22421 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 6 - 66. Let x = -21 + y. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2 - 2 + 4 - 2*h - 4 + (-3*h + 1 - 1)*(2 + 5 - 5) - 6*h + 3*h + h + 2*h - 4*h + 4*h)*(0*h**3 - 2*h**4 - 2 + 0*h**3).\nAnswer: 12*h**5 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30900615 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108\/203 + -3\/29. What is the fourth biggest value in 1, -0.4, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06939, -1\/12, 17 in descending order.\nAnswer: 17, 0.06939, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 295, 307, 319, 331, 343?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times -118\nAnswer: 27.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 1728*g - 1761*g + 6*g**2.\nAnswer: 6*g**2 - 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8216 + -11b9?\nAnswer: -9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k. Let c(d) = -d. Let x(l) = 9*c(l) - 2*j(l). Let f(z) = 483*z - 8. Let y(r) = 157*r - 2. Let a(t) = -2*f(t) + 7*y(t). Give x(a(g)).\nAnswer: -133*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3 = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 + -1934\/7. Let k = 3.01 - 3. Which is the smallest value? (a) m (b) -0.2 (c) k (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*o**2*s*u**2 - o**2*u**3 + 2*o*u**2 + 9*s*u**3 - 2*s*u - 3*u**3 wrt o.\nAnswer: -22*s*u**2 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 14, u: 2}. Give prob of picking 2 j.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*h - 4*h - h - 2)*(2 - 2 - 2*h**2) to the form w*h + p + z*h**2 + t*h**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - 6*g**2 + g + 8. Does 51 divide i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-71)\/(-4) + 6\/(-8). Suppose -4*j + q + 43 = 0. Suppose -2*u - 3 = -j. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -104, 40, -2 in descending order.\nAnswer: 40, -2, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 3*y + y + 63*y**2 + 7*y)*(-24*y + 16*y + 15*y).\nAnswer: 441*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbppppmm. Give prob of picking 3 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503016577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 - 319. Solve -7 = 2*v + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 120*k**2 - 130066*k - 15184. Determine l(1084).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/5)*t**(-3\/8))\/(t*t**(-2)\/t)**(-28) assuming t is positive.\nAnswer: t**(-2239\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 10 - 40)*(-5 - 1 + 5 - 2*z**2).\nAnswer: 74*z**2 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 - 4577548?\nAnswer: -4577508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9273.78*2\nAnswer: 18547.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4))\/h*h**3*h)**38\/(h**(-5)\/(h**(-6)\/h)*(h*h**0)**(1\/2)) assuming h is positive.\nAnswer: h**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 - 2.2. Let w = d + 0.8. Suppose -6*a = -4*j - 2*a, 4*j + 8 = -4*a. Sort -2\/7, w, j.\nAnswer: w, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 35. Suppose 0 = 4*k + 5*i - 45, 6*k - k = 2*i + 48. Let j be n(k). Suppose 60 = 15*s - j*s. Solve -s*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 178*c + 6401. Calculate t(-136).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40348 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37217 (base 9) to base 14\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -412 - -472. Suppose -y = -40*g + 20*g. Put g, -2, 53 in descending order.\nAnswer: 53, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 13063*r**6\/120 + 301*r**5\/60 + 11*r**4\/12 + 6*r**2 - 157*r + 5. Find the third derivative of d(k) wrt k.\nAnswer: 78378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 12, u: 7}?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:05 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, c: 6, f: 5}. What is prob of picking 2 c and 2 f?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1)\/1 + 0. Suppose -6*d = -z*d - 40. Calculate the remainder when (0 - 19)*((-50)\/(-20))\/(50\/(-20)) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05127601 to three dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42337990?\nAnswer: 2, 5, 17, 37, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -260, -0.5, 5, -3, -2\/3, 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 111. Let q = -19\/20 - -7\/10. What is the third biggest value in 11\/15, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921309.\nAnswer: 109, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*s - 14*s**3 + 83*s**2 + 13*s**3 - 5*s - 9*s - 8*s in the form w*s**3 + t*s + i*s**2 + h and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*d + 136*d - 76*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 12. Is (30\/35)\/(l\/(-42)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/14 + -15 + 1957\/133.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5 = 3*o, -5*o - 1 = 11*g - 13*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5122037?\nAnswer: 31, 127, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4542467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 29*v - 27*v. Let j = -6 - -11. Calculate the least common multiple of j and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1 = -3*g, -25*y + 26*y = -g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**2. Let a(p) = 1849*p + 129. Calculate a(g(r)).\nAnswer: 20339*r**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 19.626?\nAnswer: -19.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16007*j + 16005*j + 3*j**3 + 3*j**3 + 12*j**3.\nAnswer: 18*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from dmecddoccdtd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, 1309, 6083, 15785, 32053, 56525, 90839?\nAnswer: 136633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 243?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 - 6 - (10 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6010 in -5, 5, -13, -3\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(56)*3)\/sqrt(8)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) - 4*sqrt(44)\/sqrt(4))*4*-2)**2 + 3*((sqrt(99) - (-4*-1*sqrt(99) - sqrt(99)))\/sqrt(9) + 5).\nAnswer: -6*sqrt(11) + 25359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -43.5. Let l = r + -16.49827. What is l rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 5*p**2 + 2*p + 1. Let i = -35 - -37. Give m(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -687? (a) 3 (b) -5 (c) -0.108 (d) 4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*s + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -322, -323, -324, -325?\n\"Answer: -f - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 2. Calculate a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f + 56 = 74*f. Let w be ((-116)\/8 - 3)*f\/(-35). Which is greater: 8\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:35 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1765 - 1025 + 492 - 3683)*(2*b**3 + 0*b**3 - 3*b**3) as m*b**2 + p*b + x*b**3 + j and give x.\nAnswer: 5981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z + 22. Calculate u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 - 6*f. Let c(i) = i**3 + 2*i**2 - 4*i - 4. Let q be c(-4). Let j be 3\/(-6)*q\/(-2). Is k(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 - 344 = -5*t + 28*w - 832, -4*t - 41 = -5*w - 19 + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/(-14))\/(7\/49). Let o = 89 - -55. Calculate the highest common divisor of o and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-33)*3*2. Let n = -6 + z. Solve -3 = n*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 6. Let k(c) = -4*c - 25. Let o be (-8)\/22*154\/(-28). Calculate o*k(q) - 9*f(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 + 2*v + 2. Let q be (-5)\/(180\/(-1864)) - (-12)\/54. Suppose -3*p + q = -16*p. Determine k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43856*w - 2*w**4 + 8 - 14*w**3 + 43858*w + 12*w**3 to i*w**2 + n*w**4 + d + y*w + x*w**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141047529 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3403527585.\nAnswer: 3, 5, 17, 383, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -629*q + 26869. Give g(41).\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9342755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3.1, 0, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.09 and -2.594 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 22. Let w be i(17). Suppose 5*d + w*d = 100. What is the lowest common multiple of 16 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2077*d. Let m(k) = 31*k. Calculate 403*m(x) + 6*t(x).\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5195*c*n*u - 102*c*n - 7*c*u + 5723*c - 2*n*u + 3*u wrt u.\nAnswer: 5195*c*n - 7*c - 2*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4*x + 34, 5*k = 200*x - 198*x + 52 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -529258, -3, 35, 1, 3 in descending order.\nAnswer: 35, 3, 1, -3, -529258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3, -5*j = -3*v - 7*j + 12. Suppose -4 + 16 = 4*b, -v*b - 1719 = -5*n. What are the prime factors of n?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000195561 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*t + 2244 + 915 + 117 = 102*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -612 - 337. Suppose 0 = 12*m - d - 143. Find the common denominator of -67\/4 and (84\/m)\/7*146\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -4*s**3 - 2 + 1 + 5*s**3. Let g(f) = -20 - 24 + 44 - 3*f - f. Give g(n(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -238216 - -225385.7. Round s to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from jywwjbjvtbvjyj?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 x when three letters picked without replacement from {s: 2, i: 1, b: 2, x: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141903799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - 10) + 0 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 763*o + 5 + 35.\nAnswer: 763*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105544 and 4676.\nAnswer: 738808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-210)\/8)\/(57\/(-152)). Suppose -8 = j + 40. Let l = j + t. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 < 2784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 + g**3\/3 + g**2\/2 - 9*g. Let m be (10 - (-4)\/(-2))\/2. Give v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3280)\/(-1722) + (-46)\/(-42) + -1. What is the biggest value in 0.2, c, -47?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 28*d**2 + d + 31. Let i be u(-28). What is the second derivative of 3522*v**i + 2*v - 1762*v**3 - 1779*v**3 wrt v?\nAnswer: -114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 14. Let i be (1\/d)\/((-24)\/16). Do i and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.416386t in nanograms?\nAnswer: 3416386000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:36 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 0*v**2 - 3*v - 9*v**2 - 8*v**2 + 9. Let y(c) = 4*c**2 - 1 - 3 + 3*c - 2*c + 2. Calculate 2*l(s) + 9*y(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -235 + 240. Let x(v) = -v**3 - 7*v**2 + 8*v + 4. Let l be x(-8). Sort -4, l, y in descending order.\nAnswer: y, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 919, 925, 933, 943?\n\"Answer: j**2 + 3*j + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 10:38 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-65)\/(-15))\/(-13)*1257. Sort 0, l, 3.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2640 + -5449\/2. Let h = q - -85. Factor 9\/2 - 3\/2*x - h*x**3 - 5\/2*x**2.\nAnswer: -(x - 1)*(x + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 9205*d**2 + 217915*d + 227125.\nAnswer: 5*(d - 1817)*(d - 25)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 8*v**2 - 5*v - 1. Let a = -26 - -30. Let f(r) = -4*r**3 - 8*r**2 + 4*r. Let j(w) = a*f(w) + 3*c(w). Is j(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 376, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62359882 and 306186.\nAnswer: 187079646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*u + 3*u - u)*(-1 + 43 - 6) in the form m*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*h + 962 + 820 = 0, a + 2*h = 453. Let -4*l**2 + 0*l**4 + 2*l**5 + a*l**3 - 445*l**3 + 2*l**2 + 2*l**4 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 6*b + 2. Let a(u) = -u**2 - 4*u + 3. Let v be a(-4). Suppose 2*t - 7*x = -3*x - 24, v*t - x = -21. Determine g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/150*-15*1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + 1) - -2 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5 - ((-2144)\/(-52))\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -4 (b) 2\/11 (c) 0.417 (d) -7 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 34, 42?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3069 or 3070?\nAnswer: 3069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Let q(n) = n**2 - 3*n - 3. Let r be q(k). Suppose m = -2 + r. Is m equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q - 14. Let s be i(-7). Let t be 5\/70 + 6\/s. Let u be 1\/(-1) + (0 - -1). Which is the smallest value? (a) u (b) t (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -128525.\nAnswer: -128525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -21*m + 803. What is u(7)?\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 4*g + 3. Let b be y(1). Suppose b = -46*l + 42*l + 416. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12844.32 decades in years?\nAnswer: 128443.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 560 = -5*x. Suppose 2*s - 6*s + x = 0. Let h = 72 - s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2186944 micrograms in kilograms?\nAnswer: 0.0000000002186944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 166394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 2.67.\nAnswer: 2.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*v + 100 = -0*h, 15 = 3*v. Let t(f) = 3*f**2 - 7*f + 3. Let c be 4 + 4 + -4 - 10. Let m be t(c). What is the highest common factor of h and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42334 + 42326. Which is the closest to 0.1? (a) 2\/7 (b) -0.1 (c) -2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.1 * 2.0261.\nAnswer: -32.62021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let i be u(1). Let v be -1*i - 26\/(-14). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 7*s**2 - 6*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 - 1098*o\/11 - 20140\/11.\nAnswer: -2*(o + 19)*(o + 530)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 47190000 to the nearest 100000.\nAnswer: 47200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 19 - 90*p + 5\/3*p**3 + 15\/2*p**2. What is g in d(g) = 0?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(1*sqrt(1377)*-4 - sqrt(1377)).\nAnswer: 675*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -811\/544 - 5\/544. Which is the second biggest value? (a) -0.028 (b) -3 (c) q (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 543.088 - 525.2. Let t = 18 - f. What is t rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/((r*r**(-11\/5))\/r*r))*r**(-3\/2)*r)\/((r*r**(-6\/13))\/(r**21\/r)) assuming r is positive.\nAnswer: r**(2179\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*x - 12*x + 24*x)*(-3*x - 7 + 7) as g*x + z + k*x**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 337. Calculate s(95).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 79\/2 (b) -1.25 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 42*y**2 + 2240*y - 3185. Let s(q) = -13*q**2 - 746*q + 1062. Let x(o) = -13*s(o) - 4*z(o). Differentiate x(i) wrt i.\nAnswer: 2*i + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1449 or -233432\/161?\nAnswer: -233432\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 33 + 17 - 82138*i - i**3.\nAnswer: -i**3 - 82138*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**8\/1680 - t**5\/120 - t**3\/3 - 5. Let y(h) be the third derivative of j(h). Find the second derivative of y(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -233323*o**4 - 27*o*q**2 - 8*q**2 - 113709*q wrt o?\nAnswer: -933292*o**3 - 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25a01 (base 11) to base 13\nAnswer: -13ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904 divided by 8.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 57*c**2 + 157*c + 272. Let l be f(54). Let s(n) be the first derivative of 0*n + 19 - 2\/9*n**3 + 1\/12*n**4 + 1\/6*n**l. Factor s(p).\nAnswer: p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, -3 in decreasing order.\nAnswer: 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 + 2*l - 2. Does 38 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*f - 344 = -3*f, -2*f = 2*v - 234. Suppose -j + v = -53. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-14)\/f*f*f**6\/f)**(3\/14))**14 assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -12, 4*i - 5*p + 51 - 7 = 0. Suppose -50 = -3*v + 13. Calculate the remainder when 33 is divided by (v\/(-6))\/(3\/i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866576146?\nAnswer: 2, 199, 2177327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/60588 and -55\/68.\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 = 4*c, -5*c - v = -0*v - 12. Solve 0 = 4*m + m + 3*b - 8, -2*b = -c*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.7, -5, -3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1336\/(-2338)*147\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/(-24))\/(12\/48))\/(2\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, 133, 196, 273, 370, 493?\n\"Answer: s**3 - 2*s**2 + 54*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804759874 to the power of 1\/2, to the nearest integer?\nAnswer: 42482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 51*f**2 + 1647*f - 8505.\nAnswer: -3*(f - 9)**2*(f + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.7439 rounded to one dp?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*i = 173, 4*t + i = 5*i + 124. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1, 2, -5, 0.07037?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (235\/(-188))\/((-1)\/(-8)*-1). Solve -2*c + v = 0, 0 = 4*r + 3*c - 6*c + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or 607852?\nAnswer: 607852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5041, -19571, -43781, -77671, -121241, -174491?\nAnswer: -237421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qffa when four letters picked without replacement from {b: 1, m: 3, f: 3, x: 2, a: 3, q: 2}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 165*n - 198. Let m be j(162). What is the closest to m in -5, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z**(-3)\/z)\/z)*z\/(z*z\/z**6))\/((z*z**(5\/4))\/(z*((z**(-1\/4)\/z)\/z)\/z)))**(-48) assuming z is positive.\nAnswer: z**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - n + 4, -5*q + 5*n = n + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 13, g: 3}. What is prob of picking 1 c and 3 g?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + (sqrt(1088) - (sqrt(1088) + -1)) - (-2 + sqrt(612)) - (1 + 2*sqrt(153)*6)) + -3.\nAnswer: -34*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2350 and 16?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323111 (base 4) to base 7.\nAnswer: 46645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-4 + 15\/2). Let d(z) = -z + 10. Let f be d(k). Find w such that 3*w**3 - w - 11*w - 8*w**2 + 2*w**2 - 4*w**f - 8 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2262 + 1062. Suppose 32*k + 10 + 14 = -8. Is (x - -3 - k) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195, -378, -561?\n\"Answer: -183*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Is i + 75 + (-8)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27341882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/18 - p**3\/9 + 2*p. Factor v(c).\nAnswer: 2*c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 311 + -316.12. Let f = b - -0.12. Let g = 381329\/2 + -190664. What is the biggest value in 2, g, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 87*a + 28*a = -2*a. Suppose -4*u - 9 - 7 = 0. Sort u, a, 41 in increasing order.\nAnswer: u, a, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) + -10 + 11. Let c be 3*1*(-6)\/(-8). Is c equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615303773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/7))\/a)**8)**10\/((a\/(a\/((a**(-3)\/a)\/a)))\/a**(-6)*(a**(1\/2)*a*a)**(-49)) assuming a is positive.\nAnswer: a**(2021\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + 149297*p + 21*p**3 + 149291*p - 298588*p.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2893.1*2.\nAnswer: -5786.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368761 less than or equal to -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:21 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -17. Let a(w) = -3*w**2 + 1. Let y be a(1). Sort y, n, -1\/11 in increasing order.\nAnswer: y, n, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 4*i**3 - i**3)*(-20*i + 133 - 133) + (i - i + 2*i)*(0*i**3 + 3*i**3 - 4*i**3).\nAnswer: 38*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:46 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 54*s + 310. Give t(8).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*v + 7*v**2 - 40*v)*((-v - v + 3*v)*(-2*v - v + v) + 2*v - 2*v + v**2)*(-2 - 3 + 2) + (3 - 3 + 2*v)*(2*v**3 + 1 - 1) + v + v**4 - v.\nAnswer: 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -116176*m**2 - 116173*m + 6. Give i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -68*z - 8. Let j be o(-1). What is the remainder when 85 is divided by (48\/j)\/(2\/55)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4225474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtddkktkddtkdtdttkk. Give prob of sequence dtdt.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -19, 39, 105?\n\"Answer: 4*r**2 + 38*r - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -9. Suppose -3*g + 2*g + 17 = 5*p, 18 = j*g + 4*p. Let o(s) = 13*s - 1. Let m be o(1). Solve 0 = g*f - 3*y - m, -4*f + 4*y + 27 = 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083654 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:50 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/5 in -0.2, 6\/11, -91?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/60 - (-4 + 0\/2) and 161\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 15877, -19, 7 in ascending order.\nAnswer: -19, 7, 11, 15877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 5*a - 28. Let h(s) = -4*s**2 - 7*s - 29. Determine -4*h(u) + 5*y(u).\nAnswer: u**2 + 3*u - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7228*x - 4. Let t be d(4). Let j = t - -116916. Round j to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:01 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.35, 1179494.\nAnswer: -3, 0.35, 1179494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + c - 1)*(-188*c**4 + 9*c**4 - 146*c**4) + 4 - 4 + 7*c**5.\nAnswer: -318*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*q - 71 = 0, -2*s - 7*q + 2*q = 64. Let h = s + 39. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-1.58.\nAnswer: 12.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66416 + -66415.999945746. Round j to 7 dps.\nAnswer: 0.0000543","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*h - 188 = -h, 0 = 2*j + 3*h + 69. Let i be 14\/j - 34\/(-6). Factor -1\/3*t**5 + 4\/3*t**4 + 0 + i*t + 0*t**3 - 16\/3*t**2.\nAnswer: -t*(t - 2)**3*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2006991, 2006988, 2006993, 2007012, 2007051?\nAnswer: 2007116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64474468103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1013847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 7*r + 6. Let l be i(4). Let d = l - -6. Find x such that 0 + d*x**3 + 1\/2*x**2 - 1\/4*x**5 + 1\/4*x - 1\/2*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -20 + 34 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185740404?\nAnswer: 2, 3, 1163, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1260*d**2. Let s(t) = -1927*t. Give m(s(u)).\nAnswer: -4678794540*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -2*w - 39. Put 4, w, -1, 0 in ascending order.\nAnswer: -1, 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*j = 54 - 19, 4*j = 5*m + 5. Solve -z + 4*y - 3 = 0, m*z - 7 = -y - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 11*p + 5. Calculate the least common multiple of 3 and t(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51866 greater than or equal to -49294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4 + 592*t**3 + 14581*t**2 - 9202*t - 5976 = 0.\nAnswer: -83, -36, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -1549\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 2*d - 3. Determine n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = -q + 347, -3*k = 4*q - 1321. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -886, -981, -1138, -1357?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 43 - (-64 - 36)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*k + 1, -2*v + 28 = 5*k - 3*v. Suppose -5*y = -0*g - g - 180, -k*y + 2*g + 185 = 0. Let b = 72 - y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 274, -2018, -4310, -6602, -8894, -11186?\n\"Answer: -2292*v + 2566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 61. Let l(k) = -4*k - 13. Let j be l(z). Let m = j + -26. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.660865 micrometers?\nAnswer: 0.0007660865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*g + 59*g - 168 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 34 - 6*j + 10*j - 6*j - 2*j. Let f be q(8). Find the common denominator of f\/32*((-1130)\/(-15) - 2) and 97\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 374, 367, 360?\n\"Answer: -7*r + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759927252.\nAnswer: 2, 3, 7, 29, 311957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/66 and -37\/3366.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 69 = -5071. List the prime factors of u.\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 76\/36)*(-18)\/(-21).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(4*(-27)\/504)*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 974 and 107140.\nAnswer: 107140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.0659 (c) -2 (d) -1\/11 (e) -0.5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 12, 0 = -5*t + v - 2448. Let z be 2 - (t\/(-99) - 3). What is the third smallest value in 0, 1\/11, z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 5. Calculate b(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -544751, -544752, -544753, -544754?\n\"Answer: -u - 544750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 - 4. Let o(c) = -c**2 - 11*c - 19. Let y be o(-8). Let i(l) = -2*l**2 - 4*l + 1. Let t(n) = -4*n**2 - 7*n + 1. What is h*t(p) + y*i(p)?\nAnswer: 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30476971.\nAnswer: 7, 17, 36587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-219)\/657)\/((-2)\/(-14)))\/(-11*(-3)\/1089).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.68 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -310 + 331. Suppose -7 = -14*u + j. Solve u*z = 8*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-2)\/(-8)). Suppose -48 = k - 2*k. List the prime factors of (k\/(-20))\/(a\/(-100)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:11 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 790 = -180. Suppose 0 = 5*t + b - 52. Let f = -24 - -16. Which is greater: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -21465661803?\nAnswer: -21465661802.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b)\/b)**34 assuming b is positive.\nAnswer: b**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1285 - 1285.007738. Let u = 95 - 94.992. Let s = u + k. What is s rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 410, -0.1, -4, -0.99 in increasing order.\nAnswer: -4, -0.99, -0.1, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6100537098097 and 0.5.\nAnswer: 6100537098097.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-14 - 1) - -9) + -8 + -15?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 + 170. Suppose 5*v - 20 = -q, -v + q + 8 = -2. Differentiate -v*w**4 - l + 3*w**4 - 3*w**4 - w**4 wrt w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 87, 89, 91?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(38)\/sqrt(2))**2*1 - ((0 + sqrt(19)*-2)*4)**2.\nAnswer: -1193 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*v**2*y + i**3*y + 3*i**2*y + 2*i*v**2 - 314*i*v*y + 33 wrt v?\nAnswer: -2*i**3*v*y + 4*i*v - 314*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40459 - 40521. What is the nearest to 1 in -0.5, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-470) - ((-366)\/(-90) + -1 - 2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w + 1. Let s be r(1). Suppose s*f - f + 17 = 0. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 216*w**2 - 1988*w - 25872 = 0. What is w?\nAnswer: -7, 28, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1677.1 * 0.15\nAnswer: -251.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 42.68. Let g = q + -0.12. Let w be 4\/(-6) - (-5)\/12. Which is the closest to 0.2? (a) 2 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117.1 + 126. Let j = -9.9 + g. Which is the closest to 2\/7? (a) j (b) 4 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3225212 is divided by 403151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 30 = -2*g. Let s = 36 + g. Calculate the smallest common multiple of s and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -55. Let q = z - -16. Let x be (-6)\/(-10)*(-5 - -10). Solve -x*i + v + 9 = 0, q*i = i - 3*v + 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -2\/11, -0.0855, -0.03, -1.3?\nAnswer: -0.0855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 8996 = -92486. Let m = 79349 + y. What is m rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/((-23)\/(-966))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 + 16 = -5*k, -3*k = 4*f - 58. Suppose -2 = -5*u + 28. Calculate the remainder when f is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 - 7*v - 1. Let a = 26 + -20. What are the prime factors of d(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*l - 3*l - 29*r - 32 = 0, -34*l - 5*r + 64 = -38*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {i: 9, v: 3, e: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*-2*sqrt(2) + sqrt(2)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*x + 3*g + 67 = -115*x, 3*g + 56 = 4*x. Solve -h + x = 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 3 - 13)*(3*a**3 + a**3 - 2*a**3).\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -18. Let y = 19 - o. Solve y = 3*m - 4*u - 4, 2*u - 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j + 7. Calculate the remainder when s(5) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47954.14 micrometers?\nAnswer: 47954140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886470?\nAnswer: 2, 5, 288647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-7 - (-7 + 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((84\/(-16))\/(-7))\/(9\/24). Suppose -w*g + 258 = -5*z, -5*z = -2*g + 6*g - 486. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - (-36 - (2 + -31)) - 2 - 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-25))\/(675\/1125)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 - 9558*n**3 - 334638*n**2\/5 + 47774*n + 717060 = 0.\nAnswer: -5, 3, 23902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3\/8, -6, 1\/9401?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 3 + 0)*3.\nAnswer: 9 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.8 - 14. Let s = -18327 - -54983\/3. Sort t, s, -9\/5, 1.\nAnswer: -9\/5, t, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*k + 275*k**4 + 2*k**3 - 276*k**4 + 146*k to the form p*k**2 + s*k + r*k**3 + a + d*k**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/(-10))\/((-3)\/4). Suppose 5*a - 141 = 5*n + 19, 0 = 4*a + n - 118. Suppose -u - a = -m*u. Solve -2*q + z = -6*q - 9, 0 = -2*q - 4*z + u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276 + -3?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 45568.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92541 and 4251.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-17)*(-5)\/(-5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/40195213 and 111\/1810.\nAnswer: 401952130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 79. Suppose 2*g - 17 = 11. What is the remainder when x is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 39007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(((-15)\/5)\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 - 556. List the prime factors of 17\/34 + a\/(-2).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*u - 32, -44*u - 3*a = -49*u + 33. Solve 13*i + u*i = 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41134 (base 5) in base 2?\nAnswer: 101001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 63996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 4*m + 19. Let x(r) be the third derivative of r**4\/24 + 31*r**2 - r - 4. Give -o(i) + 4*x(i).\nAnswer: -2*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-70)\/4) - (-368)\/161. Find w such that 2*w**2 + w - 14 + 4 + 3*w**c + 4*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 3*x + 3. Let d(i) = 3*i**2 + 3*i**2 + 10*i**2 - 6*i**2 - 16 - 14*i. Let k(y) = -2*d(y) - 11*v(y). Give k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*f**2*g*l**3 - 3923338*f**2*g + f*g*l**3 - 2*f*g + f*l**3 + 2514*f - 243*g*l**2 wrt f?\nAnswer: 36*g*l**3 - 7846676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 1124*f - 1126*f + 411919994, 5*o + 823839970 = 4*f. Round f to the nearest one million.\nAnswer: 206000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6004 = 221*r - 2615 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 3 + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 128 = 4*k, 0 = -3*k + 3*f + 936053 - 936032 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llxxxxlxxxxxxxxxxxxl?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -40, -0.1, 0.6, 1\/16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45500, 45501, 45502?\nAnswer: 45503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*y**2 - 4 + 3)*(-269*y - 246*y + 92*y)*(y + 0*y - 2*y) to the form p*y**4 + j*y**2 + d*y + s*y**3 + i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + (-7 - -22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q + 5*f = -604, -3*q - 5*f + 418 = 0. List the prime factors of q.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 5, 84, 0.5106?\nAnswer: 0.5106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.09 + 21. Let y = -0.041 - j. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/8 + 119*o**3\/6 + 798*o**2. Calculate n(22).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1045*z**4 + 7*z + 1 wrt z?\nAnswer: 12540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3118 (base 11) to base 9\nAnswer: 5602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 4*g - 190. Suppose -291 + 21 = 45*k. Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, p: 1, c: 1}. Give prob of sequence ici.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1210022?\nAnswer: 1210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 8) + (-4 - -1) + -7 - 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11223113200 + -1030?\nAnswer: 11223112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y - 5*x - 5, -4*x = 3*y + 4. Suppose p - 177 = -y*p - 3*i, 4*p + i - 719 = 0. Calculate the common denominator of 4\/(-10) - 368\/p and 12\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19535957171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16707456 and 3168?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g)*(g - g - 2*g + (-3*g + g + 0*g)*(-2 + 8 - 1)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 - 4*f**2 - 2. Let t be ((-17)\/4 + 4)\/(5 + (-413)\/84). Give a(t).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182168851 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3540824 centuries?\nAnswer: 3.540824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - m - 54, -3*m = -2*d - 2*d + 50. Let p = d + -18. What is the units digit of (58\/p)\/((-4)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*r + 12, -5*r + 2*s - 18 = 3. Is r*10\/(-75) + (-1778)\/(-5) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 - 152*c\/13 - 154\/13.\nAnswer: 2*(c - 77)*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-26)\/(h*h**(2\/13)*h*h*h))\/(h**(1\/6)*(h*h**21)\/h) assuming h is positive.\nAnswer: h**(-4003\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10101110110 (base 2) to base 5\nAnswer: 21043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**3 - p**2 - 2*p. Let c be j(-1). Let m be (-8 - -2 - c)*-15. Let k = 1 - -1. Solve 2*a = -3*u - 10, -4*a - m = k*u - a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2873 + 4013. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o**3 + 2*o + 1. Let i be s(-2). Let w be 0\/(-9 - (-88)\/8) + 50. What is the highest common factor of w and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320920735?\nAnswer: 5, 19, 41, 82393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12\/7)\/q**8)\/((q**(-13\/2)*q*q)\/(q*q**31\/q*q)) assuming q is positive.\nAnswer: q**(375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 37 and -0.084.\nAnswer: 36.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 14*s**2 + 19*s - 21. Let h be f(-15). Let g = h + 835. Suppose -5*p - 104 = -g. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 0.0309395539?\nAnswer: 10.9690604461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9620 and 1926405?\nAnswer: 7705620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16 + 12 + 5\/(15\/18). Let c(r) = -r + 5. Let y be c(5). Let -1\/2*u**3 - 1\/4*u + y - 3\/4*u**q = 0. What is u?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 141*m**2. Let w(t) = -23*t. Let a(u) = 3*u - 5*u + 5*u - u + 2*u. Let f(p) = -34*a(p) - 6*w(p). Give k(f(d)).\nAnswer: 564*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66042280 divided by -680.\nAnswer: -97121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 5:13 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - -220231?\nAnswer: 220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3086 is divided by 405?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**7\/280 + 7*o**6\/160 + 7*o**5\/40 + o**4\/4 + 24*o**2 - 6*o. Factor z(f).\nAnswer: 3*f*(f + 1)*(f + 2)*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)\/(4\/(-2))*1. Suppose 2*p + c*p - 4 = 0. Calculate the greatest common factor of p and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*o - 2*t, 0*t + 62 = 3*o + t. Let h be (o\/30)\/(3\/63). Find the second derivative of -2*m**3 - 3*m**3 + h*m + m**3 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/3 or 3\/7388705?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/98 and -31\/22.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 433 (b) -4 (c) 0.1 (d) 0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 502 = -32. Let v = f + -89. Solve v*i - x = -2*i, -5*i = 3*x + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 3 + sqrt(700))*-5.\nAnswer: -100*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 838\/163 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:11 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*s. Suppose 3*u - 2*u + s*b = -21, 0 = -u + b + 9. What is the first derivative of -5 + 0*f**4 + 5*f**u + 0*f**4 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9183*z - 9057*z + 2*z**2 - 9188*z + 36621*z + 0*z**2 - 9193*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2404, 35, -58.\nAnswer: -58, 35, 2404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7128602000 rounded to the nearest 1000000?\nAnswer: 7129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 1:28 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:37 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-10)*(-25)\/(-10). Suppose -z*k = 2*n - 56, 0*n - 2*n = -8. Let u = k - -8. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z - 79*z + 40*z - 61*z**2.\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3 + 276*i**2 + 2*i wrt i?\nAnswer: -12*i + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:36 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3))**(1\/69)\/(w\/w**(-4))**(-40\/3))**(4\/5) assuming w is positive.\nAnswer: w**(55208\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from qrqrqqrrrzpqqzzqqq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 + -4 - (-11 - (-4 + 5 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43653 and 9300.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599091117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -71171b2?\nAnswer: -71171ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 39. Let q be t(-5). What is the hundreds digit of 190 - (-1)\/(-5 - q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 584 = -16*l - 340 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.77 + 1.77. What is the third biggest value in l, -1, 2, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160197 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 46, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10943 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 3. Let x(l) = -2*l + 4. Let z(p) = -4*a(p) + 3*x(p). Let t be z(-2). Let o(j) = -8 + 4*j - t + 12. Let y(v) = -2*v. Determine y(o(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 154?\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -109. Suppose 3*p - 3 = 3*h, p - 8 = -p + 4*h. Calculate the remainder when (p\/2)\/(2\/(-152)) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293262 divided by -2642?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4785\/(-522)*90\/150?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 100, 5, -27 in descending order.\nAnswer: 100, 5, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623936?\nAnswer: 2, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31251 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/120 - n**5\/60 + 2*n**3\/3 - 12*n**2. Suppose 5*p + 3*t = 6, p + 2 = t - 0*t. Determine k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 1 + 3*(-1*sqrt(175) + 3 + sqrt(175)*-1*-4)**2)*4.\nAnswer: 1080*sqrt(7) + 19012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 + 2*q**5\/15 - q**4\/3 + 11*q**3\/6 + 114845*q**2. Let c = 12 - 21. Give v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81995213 or 163990423\/2?\nAnswer: 163990423\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*u**2 + 2*u + 139*u**2 - 2*u.\nAnswer: 208*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 - 13*s**2 + 12*s - 22. Let l(y) = y**3 + 4*y**2 - 4*y + 7. Let m(d) = -13*l(d) - 4*r(d). What is m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 340245 - 5?\nAnswer: 340240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 5. Let a(q) = -q + 1. Give 2*a(v) - o(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k**4 - k + k**2 + (k + 0*k + k)*(3*k**3 - 3*k**2 + 3*k**2).\nAnswer: 5*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -25\/6*d**3 - 148*d - d**2 + 7\/24*d**4 + 0. What is the first derivative of p(m) wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-576)*((-18)\/51)\/1*(-11)\/11.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 - 4*r - 3. Give k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - 3*i + 1. Let r = 114 + -113. Let m be l(r). Suppose -17*g = -18*g + m. Calculate the highest common divisor of 24 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 898014.\nAnswer: 898028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 586*q - 219275. Calculate s(259).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*l**2*r**2 - 11975*d**3*r**2 - 3*d**2*l*r + 21*d*l**2*r**2 + 117*l**2 wrt d?\nAnswer: -6*l**2*r**2 - 71850*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285*i**3 - i**2 - 3*i + 129.\nAnswer: -1710*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 32*t**2 + 57*t + 10. Let d be b(4). What is the highest common factor of d and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45 + (-1 + 2)*0. Let b be -1 - (42 - ((-5 - -2) + -2)). Let x = b + o. Sort 2, 3, x in decreasing order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {w: 8, f: 5, n: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 2*x + 2. Let f(a) = 5*a - 14. Let c be f(4). What is z(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 17*g**2 + 21*g - 34. Let r = -172 + 188. Let o be f(r). Let m = 284 + 38. Calculate the highest common divisor of m and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mylnrrmlt. What is prob of picking 1 t and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105070 and 294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 982 = 3*s, 5*n = -s + 2*s + 4896. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {c: 2, w: 1, h: 1, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*i + g, 5 = 3*i - 5*g - 37. Suppose 8*z - i*z + 570 = 0. Suppose d = 3*m + z, -4*d = -0*m + 5*m - 295. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -11202111122?\nAnswer: 11202111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2969*g**2 + 5*g - 25. Is y(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 6:16 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/11*i + 2\/11*i**2 + 2\/11.\nAnswer: 2*(i + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8064 + -8052. Calculate the highest common divisor of 484 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.539543 centuries to decades.\nAnswer: 45.39543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/25*-5)\/((-2)\/5). Solve c + w - 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 - 4*a + 7. Let b be q(3). Let h(v) = v**3 + 5*v**2 - 5*v - 9. Let u be h(b). Solve -4*x = -4 + u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660, -661, -664, -669, -676, -685, -696?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 1 (c) -0.03303 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = 10. Let x = u - 4. Let q = 16 - 16.4. Which is the biggest value? (a) x (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228253283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let i be (-1)\/((2\/10)\/1). Let g be 22\/5 + 2\/i. Let b(r) = -g*r + 7*r - 4*r. Give l(b(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**15\/(a\/(a\/a**(-2\/9))) assuming a is positive.\nAnswer: a**(137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 26. Put 4, l, -4 in ascending order.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 = 2*s, -4*z = -0 - 16. Let p = s + 12. Suppose 5 = -0*r + p*r. Which is the nearest to r? (a) -3 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*y**2 - 5*y**2 + 18*y**3 - 5*y**3 wrt y.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -1. Let q be (1036\/(-16))\/(-7) - 9\/j. What is the highest common divisor of q and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Let z = -4 - -6. Let j be 0 - 3\/(z - -1). Is j at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4567 rounded to two decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -84. Let m be 2\/8*(-88)\/55. What is the nearest to -7 in v, 0.5, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1596 - 738. Let t = 858.487 - i. Let p = 1.603 + t. What is p rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197 + 227. Calculate the greatest common divisor of h and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 16136946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 273\/(-780)*3\/(-42)*-18*-5?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 40 = -6. Suppose 2*z = 97 - g. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 - 3*u - 1. What is the remainder when v(3) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3871*i - 148393 = -3888*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -389*m**2 + 102*m + 104. Determine n(-1).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4169 - -4173. Suppose 0 = x + 4. What is the smallest value in 1\/9, x, -4\/5, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -281*o**3 - 2 + 282*o**3 - 6*o + 8 - 4*o**2. Let z be a(5). What is the hundreds digit of 104 + -6 + (z - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1484808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 + (1 - (5 + -2)). Let m(a) = -a**3 + 8*a**2 + 4. Let i be m(8). Solve -i*q = -0*q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/((-205)\/(-50) + -2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 0*f**3 - 1 + 47*f**3 + 6 + 65*f**3.\nAnswer: 112*f**3 - 3*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 82*u**2 - 3*u - 3. Give n(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23215*x**3 + 115*x - 29*x - 32*x - 54*x.\nAnswer: -23215*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 - 16*k**3)*(-4*k + 4*k + k)*(-k + 2*k + 0*k + (-4 + 4 + 2)*(k - 3*k + 0*k) + 3*k - 4*k + 3*k).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 10 - 7 - 6 + 23.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 23. Let d = 469 - 470. What is the third smallest value in 7, w, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -221 + 477. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 12, -5, 5 in descending order.\nAnswer: 12, 10, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + u + 20936 = -2024, 5*p - 4*u - 28689 = 0. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2288 divided by 26\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 567 + 144. Suppose -268 = -g - 247. Calculate the remainder when s is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 15. Let l = 259 + -774. Let w = l + 509. What is k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 14*o**2 - 16*o - 2. Let g(n) = -15*n**2 + 5*n + 5. Let h be g(-1). What is the remainder when 38 is divided by s(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 10) to base 13.\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**3 + m**2 + 3*m - 2. Let q(x) = x**3 - 1. Let j(u) = -a(u) - 5*q(u). Let f be j(-5). What are the prime factors of f\/10 + 2\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/312*26*-16.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 62*q + 30*q + 35*q - 17 = -36, 3*q = q - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 53 = 4*t. Let o be (418\/4)\/(t\/16). Let d = -119 + o. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.5. Let u be 2\/(-3)*(-2252)\/24. Let n = u + -63. What is the closest to h in -20, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/(7*(-45)\/840)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 47977\/7679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 3991?\nAnswer: 7982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 3*b**2 + 2*b + 1. Let p be h(-1). What is the common denominator of (26\/(-30) + p)*145\/1856 and 145\/6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13323 rounded to three dps?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-2))\/(1782\/(-2376)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*((s*s**(3\/5)*s)\/s)\/s)\/(s\/(s**(1\/3)\/s*s)))\/((s*s*s\/(s**6\/s*s))\/s*s**(-2\/7)*s) assuming s is positive.\nAnswer: s**(548\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 596, 3, 2\/485?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*1)\/(-9) - -1. Let q(f) = -f**3 + 7*f**2 - 8*f + 15. Let j be q(6). Factor -4\/3*l**j + 2\/3 - 2*l**4 + 2*l - 2\/3*l**5 + s*l**2.\nAnswer: -2*(l - 1)*(l + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 11) in base 4?\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 801796.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-3)*((-1)\/(-65))\/(5\/10)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -19. Let d be f\/(-3) - (1 - -1). Solve -1\/3*x**4 - 1\/3 - 2*x**2 - d*x - 4\/3*x**3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*c + 12, -4*g - 2*c + 3 = 21. Let d(f) = 2*f**3 + 10*f**2 - 3*f - 11. Let i be d(g). Solve -i*b + 30 = -2*h, -2*b - 3 - 2 = 3*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 14*d**2 - d - 17. Let q be a(-14). Let f = q + 1. Is f at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8883 divided by -987\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 a when four letters picked without replacement from {a: 3, s: 15, z: 2}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 4:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i + 18 = 0. Calculate the smallest common multiple of 2 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2934*w**2 - 240*w - 1 + 2 + 240*w to z*w + p + t*w**2 and give t.\nAnswer: -2934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -12?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1589 - 1589.000003929. What is t rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let j be 4 + (-22 - 12\/(-3)). What is the units digit of j\/(0 - 3 - w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(32) + sqrt(32)*1))\/(sqrt(81)\/((1*sqrt(63))\/sqrt(7))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/19, -770, 27, -1, 1\/5?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(12\/7))**(-3\/7))**(1\/12) assuming i is positive.\nAnswer: i**(-3\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 278687196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -11*p**5\/5 + p**4\/2 - 12*p**3 + 28. What is the third derivative of y(g) wrt g?\nAnswer: -264*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -76\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {g: 6, c: 3, z: 2, s: 1, t: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.13 (c) 113\/10 (d) -2\/79 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by (-390)\/40*(1 - 57\/9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, -20, 1\/4, -1634, 1, -3\/7.\nAnswer: -1634, -20, -3\/7, 1\/4, 1, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10622 - 10596.8519. Let x = -25.2521007 + v. Let b = 0.104 + x. What is b rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43076 - -71224. Calculate the greatest common factor of n and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384 - 372. What is the remainder when 101 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4449*r - 66024 = -7178*r + 3777*r for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 + 75130*o\/3 + 2822258450\/3.\nAnswer: (o + 75130)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f - 8. Let q = 255 + -219. Let h = q - 27. Calculate z(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(52)\/sqrt(4))*1 + 5 - (((sqrt(234)\/(sqrt(9)*-2))\/sqrt(2))**2 + 4))*-2.\nAnswer: -2*sqrt(13) + 29\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -45705, 4, 1093\/9 in ascending order.\nAnswer: -45705, 4, 1093\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 174, 172, 170, 168, 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 6. Suppose m + 14 = 4*o, -6*o + 3*m + 10 = -2*o. Suppose -110*l - 71 = -401. Sort o, i, l in descending order.\nAnswer: o, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m**3 + 58*m**3 - 15*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8236844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 30*a - 10 = 5*l, 0 = l + 2*a + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0) + -128 + 98 - -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f - 4. Let l(p) = 177*p**2 + 186*p - 12. Let d(x) = -6*c(x) + 2*l(x). What is the second derivative of d(q) wrt q?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -19, -41, -81, -145?\n\"Answer: -a**3 - 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + (-2 - -1))*-1. Let z be (-15)\/2*10\/a. Let i = -463 + 464. Sort i, 3, z in increasing order.\nAnswer: z, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4 - 3293*l**3 - 2719180*l**2 - 13526832*l - 10810944 = 0.\nAnswer: -1644, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10804912, -10804981, -10805096, -10805257, -10805464?\n\"Answer: -23*o**2 - 10804889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(((-2346)\/4301)\/(12\/(-2))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 3*l + 4*l + 3 - 3 + l + (2*l + 1 - 1)*(5 + 0 - 3) + 5*l - 3*l + 0*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -25 + (28 - 10) + 10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.16 + 1.96. Which is the closest to r? (a) 2\/7 (b) 0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4862 - 3083. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.29917ml in litres?\nAnswer: 0.00529917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/47, 0.2, -1, -2\/5, -0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-45) - 2\/(-3). Suppose 30*g = 26*g + 20. Let o be (2 + 0)*(-260)\/104. Which is the third biggest value? (a) 0.3 (b) n (c) g (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 + 219. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 13708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and -346?\nAnswer: -16954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13267, -13204, -13091, -12904, -12619, -12212?\nAnswer: -11659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t\/(t\/(t**10\/t))*t))\/t)\/t)\/((t*t\/((t\/t**(3\/10))\/t))\/t*t))\/(t\/(t*t\/(t*(t*t*(t\/(t*t**(-2\/9)))\/t*t)\/t)*t))**(-46) assuming t is positive.\nAnswer: t**(-367\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3, -0.4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -19 (c) -4 (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 36429 - 12140 + 422*b - 12146 - 12143. Let s(p) = 16*p. Determine c(s(j)).\nAnswer: 6752*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880174.\nAnswer: 2, 940087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0189917 minutes to nanoseconds.\nAnswer: 1139502000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6551072 and 1850?\nAnswer: 163776800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4*c - 29 = 0, -15*c + 17 = 14*p - 20*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3387, -6338, -9287, -12234, -15179, -18122?\nAnswer: -21063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/15*6\/(-5). Let x be 0\/(a + (2 - 5)). Suppose x = -3*i - 0*i - 3. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32574*i**2 - 2 + 10 + 32581*i**2.\nAnswer: 7*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = 7*y - 552. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/3 + 46*h\/3 + 40 = 0 for h.\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 + 128*z - 76. What is l(-14)?\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 118*d + 1401. Give q(-49).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8193861*c**3*z**2 - 584*c**2*z**2 - 3*c**2*z + c*z**2 + 6980*c wrt c?\nAnswer: 49163166*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -75*l**2\/4 - 113695*l\/4 + 21146415\/2 = 0.\nAnswer: -27374\/15, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -10997243730128.\nAnswer: 10997243730132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 630\/350*10\/12. Which is the nearest to -1? (a) -4 (b) k (c) 0 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 divided by 7?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466\/3*(-36)\/(-12)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 422*y**3\/3 + y**2\/2 + y + 416. What is the second derivative of t(d) wrt d?\nAnswer: 844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200345072?\nAnswer: 2, 173, 72379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i - 14. Let v be x(6). Let w = 183 - v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673 times -0.7?\nAnswer: -1171.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 5*j + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31200831+-549.3\nAnswer: -31201380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**9\/3024 - v**5\/60 - 2*v**3\/3 - 3. Let x(h) be the third derivative of a(h). Find the second derivative of x(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/4 - (-39)\/(-52). Suppose 2*g = x*g + 195. Let a = 68 + g. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*g**3 + 11*g**3 + 16*g**3 + (0*g**3 - g**3 + 5*g**3)*(4 - 2 + 0))*(g**2 - 3*g**2 - 6*g**2).\nAnswer: -600*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 915, 1945, 3087, 4341, 5707, 7185?\nAnswer: 8775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 3*d**2 - 4*d**2 + (-116 - 56 - 50)*(0*d**2 - d**2 + 0*d**2)*(-3 + 1 - 2)*(4 + 2 - 4) in the form n*d + q + i*d**2 and give i.\nAnswer: -1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 3819, 12996, 30887, 60396, 104427, 165884, 247671?\nAnswer: 352692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m - 104. List the prime factors of w(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*w + 177 = 25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.16*16.1214.\nAnswer: -18.700824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*n - 656*n - 186*n + 477*n - 857*n to h + k*n and give k.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7309 - 614 + 4693 = 889*j - 733*j for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4394889280 to the nearest integer?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1998892728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/300 - 98*i**4\/15 - 76832*i**3\/15 - 898*i**2. Factor t(u).\nAnswer: -(u + 392)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 209*n - 164. Let h(b) = -417*b + 329. Let t(d) = 2*h(d) + 5*i(d). Find the first derivative of t(a) wrt a.\nAnswer: 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26298\/17 or -1547?\nAnswer: -1547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 163 + 17*y**3 + 18*y**3.\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 21*x**2 + x - 2. Let w be l(-2). Suppose -w = -3*p - 2*p. Suppose 4*g - 2*q - p - 16 = 0, 0 = 3*q + 12. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**5 - p**2 + p. Let i(s) = -15*s**5 - 33*s**2 + 4*s. Let g(l) = i(l) - 4*y(l). What is the third derivative of g(a) wrt a?\nAnswer: -660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - 45 - (14 + 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3793208 days in microseconds?\nAnswer: 32773317120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 69. Let n be y(0). Let d = 10 - 45. Let j = d + n. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 1)*(-46 - 2*h + 46) + (2*h + 1 - 1)*(1 - 6 + 3).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 43. Let h be (1 + -4)*(y - -10). Let d(u) = u - 4. What is d(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6 - 6. Suppose -d*l + 0*l + 124 = 0. Let c = l - 11. What is c rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*g + 4. Let t = 0.1 - 0.7. Let z = t - -0.1. Which is the closest to 1\/2? (a) g (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 5*i - 1455 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109 - 8499 - g**3 + 5*g**3 + 5*g**3.\nAnswer: 9*g**3 - 9608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2*o - 8. Calculate b(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 12*h**4 - 5*h)*(h + 0*h + 5 - 15).\nAnswer: 12*h**5 - 120*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215 + -243 - (-3 - 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314 + 413?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 4032?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 1319500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((336\/36)\/(-14))\/((-4)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*f = c + 24, -3*f + 6 = -3*c. Solve 0 = -w - c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438585, 1754311, 3947223, 7017351, 10964725, 15789375, 21491331?\nAnswer: 28070623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 420 - 1235. Is (-2)\/(-11) + y\/(-55) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -21 (b) 1 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/4)\/(4\/(-4)). Which is bigger: -5\/7 or n?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 - 6. Let r be d(0). Suppose -9*y + 19*y - 10 = 0. Sort r, 0, y, -3 in decreasing order.\nAnswer: y, 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 1734*u**2 + 56260*u - 445032.\nAnswer: -(u - 18)*(u - 14)*(u + 1766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417*y + j - 4 = 1418*y, 3*y + 2 = -2*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55689, -111380, -167071, -222762?\nAnswer: -278453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*s - 119.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 8*i - 64. Calculate the remainder when j(-8) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v*v**18*v))\/(v\/(v\/((v*v\/(v**(-32)\/v))\/v)))*v**(10\/7)*v**(-25)*v assuming v is positive.\nAnswer: v**(-543\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -0.2, -2\/7, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -4 - 3 - -13. Let h = o + -17. Let k = h + 7. Solve 3*u = -5*y - 17, -7*u - 24 = 4*y - k*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-7))\/((1\/(-3))\/(546\/(-468))). What is the greatest common divisor of d and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {r: 2, w: 8, c: 5, g: 1, t: 3}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 205 = -2055. Let q be 4\/38 + y\/38. Let v be (q\/(-4))\/(-3)*1. Solve 3*t = v - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*v + 430 - 452, 16 = -5*d - 4*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.985 times -344.9?\nAnswer: -339.7265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 4. Let i be ((-8)\/(-10))\/((-1)\/(-25)). Solve c*l = 7*l - i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3511 and 1523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113757 + 229978. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 10329995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 7*v = 0. Suppose v*a + a = 5. Suppose 3*y = 5*d - y - 81, -3*d + 59 = -a*y. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 less than or equal to -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:56 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*y - 29, g = -2*g - 3*y + 3. Suppose -4*d - 2*c = -0*d - 198, -g*d = 4*c - 192. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003883294 to 7 decimal places.\nAnswer: 0.0000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 16 = -46 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473*u + 874*u - 2*u**3 + u**3 + 1 - 442*u to the form t*u**2 + z + p*u**3 + o*u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2477951*h**2 - 23*h + 90373499 wrt h.\nAnswer: 4955902*h - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -233*n**4\/24 + 2*n**3 - 9*n**2. Let a(j) = 700*j - 35. Let g(i) = -4*a(i) - 11*w(i). Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4034.9996102 - -4035. What is m rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:06 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 6390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*n - 26, 4*n + 0*n + 8 = 0. What is the tens digit of (b - -58)\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 - z + 0 + 2. Let m be -1 + -1 + (-15)\/(-3). Let n(q) = -2*q - 2. Let w(d) = d + 3. Let y(p) = m*n(p) + 2*w(p). What is -3*f(v) + y(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 - 122. Let g(n) = -n**3 + n**2 + 2. Let k(s) = -5*s**3 + 27*s**2 - 43*s + 32. Let i(p) = -4*g(p) + k(p). Calculate i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -11.46.\nAnswer: -14.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7))\/(c\/(c*c**2))*(c**(-1\/2))**(-11\/4))\/((c\/(c\/(c**1*c))*c)**(-20)*(c*c**(-1)\/c)**(-19)) assuming c is positive.\nAnswer: c**(307\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525222 divided by 19?\nAnswer: 4525222\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231658.\nAnswer: 2, 7, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 681587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r**3 + 1)*(-41*r - 14*r - 32*r)*(1 - 1 - r).\nAnswer: -174*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/19)\/(o*o**(-2)))\/(o**(-3)\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 3*r + 24. Suppose 196 = l - 4*z + 51, -3*z = 2*l - 268. Let o = l - 137. Solve o*j = -r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 9*y**2 + 9*y - 6. Let i be w(8). Let o(g) = -7*g - 7. Let b(c) be the second derivative of 0 + 3\/2*c**2 + c + 1\/2*c**3. Give i*o(t) + 5*b(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 62\/3. Factor -1\/3*o**2 - q*o + 0.\nAnswer: -o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v**2 + 25*v - 15*v**2 - 12*v**2 + 25 - 15*v to the form y + k*v + h*v**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.89 - 11. Let v = c + 0.02. Let q = -4.91 + v. What is the nearest to -1 in -3, q, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, -y - 60 + 60 = -3*l. Solve 49*k - 212 + 16 = l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-62157)\/12 + -1)*(-1 - -5). Let z = 29177 - c. Round z to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498142439?\nAnswer: 383, 1300633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {r: 1, n: 1, k: 8, h: 8}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-9))\/((-6)\/(108\/6)). Let c(p) be the first derivative of -1\/2*p**2 - n - p. What is the first derivative of c(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*m + 7*m - 7*m + 12*m - 31*m**3 + 33*m**3 as j + t*m + a*m**2 + b*m**3 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -11\/3*f**3 - 1\/10*f**5 - 22*f**2 + 0*f - 1\/60*f**6 + 0 + 0*f**4. Differentiate g(j) with respect to j.\nAnswer: -6*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 66*x**3 - 291*x**2 - 360*x.\nAnswer: -3*x*(x - 15)*(x - 8)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 89*s - 15. Is g(-29) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1185921*m**2\/4 + 7623*m\/2 - 49\/4 = 0. What is m?\nAnswer: 7\/1089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -40. Let m be 12\/(-3*2\/y). What is the second derivative of -5*r**4 + m*r - 1849 + 1849 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from mmxkxmxxkxxxxxmkxx?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/4 - 561*q**4.\nAnswer: 3*q**4*(q - 748)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 5. Let g(f) = 3*f - 6. Give 3*g(h) - 4*z(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(38)\/(sqrt(2)*-1).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 2*r - r**2 + 2*r**2. Let x(o) = -7*o. Determine y(x(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-2)\/30*(6 - (-9)\/6). Factor -3*s**2 + 6*s + 12 - z*s**3.\nAnswer: -3*(s - 2)*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*g + 116, -4 = -4*g - 16. Solve a - w = 4*m - 12, m - 8 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 2*h + 6, 0 = -4*d + 5*h - 23. Let o be (-6)\/(-15)*10\/(-12). What is the closest to d in 2, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**4 - 14*f**3 + 503*f**2 - 4. Let h(g) = 6*g**4 - 12*g**3 + 502*g**2 - 5. Let z(w) = -4*h(w) + 5*i(w). Find the third derivative of z(v) wrt v.\nAnswer: 24*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**3\/5 - 2*r**2 - 6*r\/5 - 25. Solve z(d) = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Suppose -3*u - w + 25 = u, 0 = u + x*w - 9. What is the third derivative of -17*c**2 + 4*c**6 + c**6 + c**u + 7*c**2 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86629 from 122.\nAnswer: -86507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 15*p - 74. Calculate the least common multiple of 4 and r(7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*a = 15, -2*a + 0 = 4*w - 16. Suppose 5*x - 82 = w*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p = -20. Suppose 3*f + p = 2*t - 29, 5*f + 3*t + 36 = 0. Let y be (-3)\/10*(-4)\/f. Which is the second smallest value? (a) -1 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a week in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = 87. Let b = l - -24. Calculate the greatest common divisor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -n - 7*n. Which is the closest to -1? (a) -2 (b) n (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggig when four letters picked without replacement from {i: 2, c: 1, k: 4, g: 8}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*y = -9 - 17, -2*y = -2*c + 12 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 2*b - 5, y - 15 = -0*y - 4*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96.3 + 22.7. Let k = s + -115. What is the nearest to 1 in k, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2 + 43*y + 3. Let p be x(-18). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -370, -801, -1406, -2191, -3162, -4325?\nAnswer: -5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3246 and 46\/3?\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (25636\/(-2958))\/(13\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415231 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1716)\/(-57) + -2 + 30\/(-285) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -44. Let y = 16 + x. Let t = 29 + -206\/7. Which is the nearest to -1\/4? (a) t (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 19703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - 45. Suppose b = u - 9, 2*b - u = -4 - r. Let v be ((-1)\/8)\/((2\/b)\/1). Sort -0.3, v, 1 in decreasing order.\nAnswer: 1, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996.8473 micrometers in kilometers?\nAnswer: 0.0000009968473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, 109, 2648 in decreasing order.\nAnswer: 2648, 109, 21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.3 - -61.3. Let m = 52 - w. Sort m, -0.02, 3 in ascending order.\nAnswer: m, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 7*o + 4. Let d be b(-6). Let m = -591 - -586. Let k(p) = 3*p**2 - 2*p. Let a(c) = -6*c**2 + 5*c. Determine d*a(r) + m*k(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 = -32*z - 35 + 123. Solve -z*a - 105 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {g: 11, f: 9}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288055340 a multiple of 978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -717*v - 109*v**2 + 2 + 717*v + 0. Let b(q) = -4*q. Determine b(h(u)).\nAnswer: 436*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 263674.7 to the nearest one hundred.\nAnswer: 263700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*t = 316*t - 32 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -31. Suppose -5*h + 3*s + 32 = 5*s, s + 4 = 0. Let o(b) = -7*b + 9 - 7 - h - 5. Let l(w) = -3*w - 5. Calculate k*l(a) + 6*o(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*j*k**3 + 200*j*k**2 + 48455*j + k**2 wrt k?\nAnswer: -102*j*k**2 + 400*j*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0 + (-1 - 3 + 1)*(0 - 2 + 1) + 0 + 1 - 3)*(7*q**2 - 7*q**3 - 7*q**2).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417\/20 - 85\/4. Let z = -1 - 2. What is the nearest to z in 2\/13, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-12)*(-15)\/10. Which is the smallest value? (a) -3 (b) x (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -20 + (-2554838)\/(-154) + (-12)\/14?\nAnswer: 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8.0789697 microseconds?\nAnswer: 0.00000000009350659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**20))\/((b\/b**(-2\/59)*b)\/b))\/(b**(-2\/145)\/b**(-40)))**(-4\/9) assuming b is positive.\nAnswer: b**(719308\/76995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 4\/3 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1512 - -1589 - (-1 + 17) - 33\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1375 (b) -4 (c) 0.11 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 279*f**2 + 6348*f + 48671. Let n = -290 - -287. Let t(c) = -280*c**2 - 6348*c - 48672. Let k(j) = n*t(j) - 4*i(j). Factor k(l).\nAnswer: -4*(l + 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-10) - (6 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 356.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c - c + 8*c + 8*c. Is b(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 11) + 828 + -807.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k - 4 = -y, 3*k + 18 = -2*y. Let w be 8*(y\/(-4))\/3. Suppose 0 = w*x - 0*x - 8. What is the lowest common multiple of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 16 (c) -1\/7 (d) -28 (e) -2\/211\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2957885 - 127885. What is k rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2068 and -97\/16544?\nAnswer: 16544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382\/(-16617) + (-1256)\/(-39498).\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 39. Determine m(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290551 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18100000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a30 (base 14) to base 8\nAnswer: -3722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 24*f - 40. Let k be b(9). Let g = 235 + k. Let p be (-2)\/(1 - 3) - -1. Solve -p*z = w + 9, w = 2*z + z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1458*f**3 - 4*f**2 + 6*f. Let l(j) = -4373*j**3 - 12*j**2 + 21*j. Let q(g) = 3*l(g) - 8*t(g). Find the third derivative of q(w) wrt w.\nAnswer: -8730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 + 16*f + 63. Let h be n(-6). Solve 0 = 5*d + 20, 2*j + h*d + 3 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 39*d**2 + 2*d**3 + 3*d + 0*d**3 + 0*d**3 + 11*d**2 to the form x*d + q*d**2 + g*d**3 + p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 16. Let z(v) = v + k - 18 + 6. Determine z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22159 is divided by 62.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (-24)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 5*t**3 - 6*t**3 + t**2 - 2*t - 8*t**2 to z*t**3 + n*t**2 + o*t + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 26. Let f be p(9). Let n be ((-33)\/(-5) + -6)*f. Suppose s - 4 = -0*s. Solve n*k = s*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**2 + 0*j**5 + 0 + 4*j - 2\/21*j**7 + 0*j**6 - 1\/12*j**4 + 0*j**3. Find the third derivative of d(v) wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/11 + 18114*z**3\/11 + 925062*z**2\/11 - 476114*z\/11 - 467058\/11 = 0. What is z?\nAnswer: -51, -1\/2, 1, 4579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Suppose 4*f - 14 = 5*s + 13, -2*f + 3 = s. Let i(n) = n**3 + 2*n - n**f + 7*n**2 + 0*n - 2*n**3. What is i(m) - 5*t(m)?\nAnswer: -2*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = y + 18, 3*y = -12 - 0. Let r = 79456 + -79456. What is the fourth smallest value in k, -5, -0.1, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19a (base 13) to base 16\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 7244*g - 1.\nAnswer: 7244*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + (-3)\/(-30)*296. Let l = 32 - h. Suppose 0 = -o + l*o - 72. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -73 (b) 2\/3 (c) 0.7 (d) -0.522\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -3.971?\nAnswer: -1.9855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291 and 4294437?\nAnswer: 416560389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 2. Let h be l(-7). Suppose -9 = -h*r + 1. Factor 2*f**2 + f + 0*f - f**r.\nAnswer: f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330 - 54755?\nAnswer: -55305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/2)\/((126\/168)\/(4\/16)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5919?\nAnswer: 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*(-52)\/(-390)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1263120)\/(-27) + (-6 - (-572)\/99)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 10*y**2 - 6*y - 42. Let v be j(-10). List the prime factors of (40\/v - (-10)\/(-45)) + 755.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (-32 - 7)) + -1 + (-2 - -10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -9*y + 502. Find the third derivative of -5 + 19*i - 2*i**2 - 76*i - y*i**3 + i**4 + 5 wrt i.\nAnswer: 24*i - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y + 7*y + 4*y + (1 + 3 - 2)*(-4*y + 0*y + 3*y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 102. Differentiate 3 - 5*j**2 - j**s + 3 + 11 with respect to j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + r)*(0*r**2 - r**2 - r**2) + 0*r**3 - 3*r**2 + r**2 + 4*r**3 + (r**3 - 2*r**3 + 8*r**3)*(1 + 3 - 3).\nAnswer: 5*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*z**3 + 14*z**4 - 17*z**4 + 4*z + z - 41*z**3 - 2 as a*z**4 + y*z**3 + o + n*z**2 + u*z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + y = 301, 0 = 3*s + 4*y - y + 195. Let v be (-524)\/16 + (-1)\/4. Let k = v - s. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45564 is divided by 11387?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.668 less than 765?\nAnswer: 885.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/(-507) - 508\/(-780). Determine l, given that r*l**2 - 1 - 14\/5*l = 0.\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11862 is divided by 1845?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 31*u**3 + 9*u - 4. Let r(t) = 32*t**3 + 9*t - 3. Suppose 9*d = 30 - 3. Let y(p) = d*j(p) - 4*r(p). What is the second derivative of y(m) wrt m?\nAnswer: -210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.33 + 0.182. Let g = 0.852 - c. What is the nearest to g in -1, -2, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/3 - 188*n**4\/3 - 2696*n**3\/3 + 3076*n**2\/3 + 2698*n\/3 - 2888\/3 = 0. What is n?\nAnswer: -76, -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -35*f - 189. Let g be v(-6). Solve -4*x + 13 = g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, -10, -7 in descending order.\nAnswer: 5, 0, -4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3189*q - 316*q + 44525*q + 17675*q.\nAnswer: 65073*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**1)\/d)**(-1\/14)*d\/(d*d*d*d**(-2)\/d)*d\/(d*d**2))\/((d**(1\/3))**41\/(d**(-5)*d\/(d**(-1)\/d))) assuming d is positive.\nAnswer: d**(-697\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/6 + 2)*8\/4. Let a = q - -47. What is the highest common factor of a and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttppttt. What is prob of sequence tptp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17.02302 hours?\nAnswer: 61282872000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + 1 + -3 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662709, 1325513, 1988317?\nAnswer: 2651121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 12*l - 231. List the prime factors of n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/7 - 92*v**4\/7 - 1234*v**3\/7 - 4048*v**2\/7 + 768*v = 0.\nAnswer: -24, -16, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102, 101, 102, 105, 110?\n\"Answer: m**2 - 4*m + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/9*b - 8\/3*b**2 - 2\/9*b**5 + 0 + 2\/3*b**4 + 4\/9*b**3 = 0. What is b?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 16*a**3 - 28*a**3 + 0*a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4332 + -4313. Sort -1\/10, q, 3\/8 in descending order.\nAnswer: q, 3\/8, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544370 rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 212.41242 seconds?\nAnswer: 0.05900345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5972 + -5947. Solve 3 = -2*m - r, 21*m + 5*r = t*m - 29 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s - 1. Let f be w(1). Is 3395\/(f + 6)*(-2)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.347 - 61207\nAnswer: -61214.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*u - 9, 5*u = i - 18 - 3. Let b = 30 - i. Suppose 2*v = 5*r - 39, -6*r + 4*r + 5*v = -b. Calculate the highest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 7*b**4\/8 - 35*b**3\/2 - 5586*b**2. Calculate s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -1001488?\nAnswer: -35\/1001488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86160*g**3 + 42971*g**3 + 43197*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4740 + -4740.002613. Round f to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-8 - (5 - 11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -82*u**2. Let y(x) = -2*x. Determine v(y(g)).\nAnswer: -328*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*l = 2*l + 12, 2*x - 4 = 3*l. Let b = x + -3. Let g = b + 17. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w)**33\/(w\/(w**(-7\/3)*w)*((w\/(w*w**(-18)))\/w)\/w) assuming w is positive.\nAnswer: w**(-550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(133) + (sqrt(133) + sqrt(133)*2 - sqrt(133))*-4)\/(5*sqrt(63)))*-1.\nAnswer: -5 + 7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 760 - 760. Solve 83*x - 84*x - 1 = n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -51.9. Which is the nearest to 0? (a) 0.2 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6861 is divided by 244.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2961988*r**4 + 21*r**2 - 13*r - 1023 wrt r.\nAnswer: -71087712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34171*a**2 + 12*a - 158*a**3 - 68337*a**2 + 34167*a**2 as w + p*a**2 + z*a**3 + i*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14894488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttccccaccc. Give prob of sequence tatc.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 16*f - 2*f**2 + 3*f**2 + 5*f. Is j(-9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**3 + 5*y**2 + y. Let h(p) = -12*p**3 - 6*p**2 - p. Give 4*h(q) + 5*t(q).\nAnswer: 12*q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 2*f = -17. Calculate the remainder when (f + -93)\/((-2)\/3) is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.042 + 59. Let w = 0.083 + j. Let z = w + -0.041154. Round z to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003484465 to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmcczczmcmmcc. Give prob of sequence mzmz.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.625616 litres?\nAnswer: 625.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 626 from 0.33.\nAnswer: -625.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*f - 1921 = 2*f, -5*i - 3*f + 9581 = 0. Let m = -855 + i. What is the common denominator of 45\/16 and (m\/8 + 1)\/(36\/2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 82 - 43 + 1302*c**3 - 40*c.\nAnswer: 1302*c**3 - 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 195 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**5 + 5*g**4 - 54*g**2.\nAnswer: -300*g**2 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l - 15. Is 550 + 78\/24 + 1\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:44 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 2006887, 1, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.86, -0.3, -5\/3, -12\/11, -1\/4, 58, -2\/21?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -300, -599, -898, -1197?\n\"Answer: -299*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 845, 1281?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g**6 + 0*g**4 + 0*g + 0*g**3 + 3\/35*g**7 - 5*g**2 + 0 - 4\/15*g**5. What is the third derivative of o(n) wrt n?\nAnswer: 432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = w - 11. What is the first derivative of -8 + 3*o + 4*o - w*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-45)*(y\/(y*y**1*y))**(1\/20)*(y\/((y**(-1\/5)*y)\/y)*y*y)\/y**(-2\/7)*(y**(-1)\/y)**(-2\/75) assuming y is positive.\nAnswer: y**(-15289\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1841, -7339, -16513, -29381, -45961, -66271?\n\"Answer: -3*z**3 - 1820*z**2 - 17*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 27*m**3 + 211*m**2 - 32*m + 71. Calculate l(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 231 = -2*a - 203, -455 = -4*m - a. What is the greatest common divisor of 112 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14208, -7, -5 in descending order.\nAnswer: -5, -7, -14208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and -151\/31068.\nAnswer: 31068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaooao. What is prob of picking 1 o and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 519882552 by -35016.\nAnswer: -14847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 - 251*k**2\/2 + 7540*k + 32200 = 0 for k.\nAnswer: -4, 115, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2133498 is divided by 2621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2\/13*a**3 + 40\/13 + 2\/13*a**2 - 32\/13*a = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 17 - 42. Suppose -o = r*t + 6972 - 18575, 6957 = 3*t + 3*o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 - 4*z + 2. Let x be d(3). Let b(y) = -y**3 + 9*y**2 - 9*y + 4. Let k be b(x). Round k to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*(-244 + -11 + 25) is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 1662*p**3 - 33 + 3355*p**3 - 1677*p**3.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38099, -152347, -342761, -609341, -952087?\n\"Answer: -38083*x**2 + x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5756250959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-10)*(-1*7)\/(1057\/604).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**8\/560 + m**4\/24 - m**3\/2 + 3*m. Let t(n) be the second derivative of u(n). What is the first derivative of t(v) wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f**3 - f**2 + 2*f. Let q(p) = -14*p**3 + p. Calculate 4*k(g) - 5*q(g).\nAnswer: 6*g**3 - 4*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29072, 29968, 32434, 37256, 45220?\nAnswer: 57112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 915 and 6725.\nAnswer: 1230675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -843, -1636, -2415, -3174, -3907, -4608, -5271?\n\"Answer: s**3 + s**2 - 803*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyb when three letters picked without replacement from {t: 2, b: 1, r: 1, y: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3051799 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/26)\/(540\/(-2340))*192\/2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 291743381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75657*h - 75666*h + 151325*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/5)*p*p*p))**(-9\/7)*(p**(1\/4)*p)**31 assuming p is positive.\nAnswer: p**(5713\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -382385773 and -382385772 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, -2, 176, -4 in descending order.\nAnswer: 176, 3, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 118879, 2, -4 in ascending order.\nAnswer: -4, 0, 2, 118879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.82 or 6\/155?\nAnswer: 6\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -o - 40449, h - 5692 = 2*o + 34753. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5021*i + 40141. Determine o(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 89425.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-5)*(-38)\/(-1216)*16. Put l, 3\/13, -2, -1 in decreasing order.\nAnswer: 3\/13, l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25*c**2 - 95*c + 17. What is the hundreds digit of j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*k**4 + 1403160*k**3 + 935695*k**2 - 1364175*k - 974500 = 0. What is k?\nAnswer: -5\/6, 1, 7796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9314867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Calculate the lowest common multiple of w and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455619 divided by 87?\nAnswer: -5237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/136569596 and 149\/6?\nAnswer: 409708788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2205759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 188393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-5*-1 + 0)**2 - ((sqrt(25)*2)\/sqrt(5) - ((sqrt(5) - (5 + sqrt(20))**2) + sqrt(5))).\nAnswer: -20*sqrt(5) + 1955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiji. What is prob of sequence ij?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12113311142 + -2?\nAnswer: -12113311144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 1.22. Let g = 3.04 + w. Let k be (-2 - -2) + 6\/(-8). What is the second smallest value in g, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - s = 5, 5 + 4 = -5*r - s. Let b = 5 + r. Suppose -b*u - 5*f - 3 + 77 = 0, 84 = 5*u + 2*f. What is the remainder when 79 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-63)*(-12)\/(-22)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*p**2 + 47*p**2 - 14*p**2 + (p + 3*p - 6*p)*(0*p + 2*p - p).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2363 (base 16) to base 14\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f**2)*(-15*f - 9*f + f) - 4*f**3 - f**3 + 7*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/88*(-30)\/(-70).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w + 1. Let s be (-313)\/2 + (-9)\/(-6). Let i = -157 - s. Let l(y) = -2*y**2 + 2*y - 4. Determine i*v(b) - l(b).\nAnswer: 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -484, 0.51, -1\/2, -24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*r + 3 = -12, -3*r + 7 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 15 - 8 - -6) + -19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740350?\nAnswer: 2, 5, 239, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (5 + -3 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276301*h**5 + 153585*h wrt h.\nAnswer: -5526020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148423, -296794, -445165?\nAnswer: -593536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438949 and 564363?\nAnswer: 3950541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-3 + 5 + -2 - 2) - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11.8. Let p = -0.3 + u. Let i be (23 + -22)\/((-1)\/2). Sort i, p, 3\/2 in decreasing order.\nAnswer: 3\/2, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.9, 3\/7, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -129. What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - (1 + -2 - 0)) + (-46 - (-31 + -25))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 4719.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.7504 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1060*r**2 + r + 4. What is the hundreds digit of g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 4 = 28*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -16, 5, -0.2, 8 in ascending order.\nAnswer: -16, -5, -0.2, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-88)*43\/((-58179)\/164)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 0.51764.\nAnswer: 0.0879988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 - q**4 + q**4)*(1 + 0 - 4)*(-4 + 5 - 3).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 10*m - 20. Determine c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 230 (c) 8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -584332 by 14252.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -0.5 (c) 9 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1936327 centimeters?\nAnswer: 1936327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-622)\/(-5) + (-2)\/5. Factor -57*o + v*o + 10 - 5*o**2 - 62*o.\nAnswer: -5*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 1, f: 2, c: 1, l: 1}. What is prob of sequence ffc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d. Let l be w(-1). Let q(j) = j**3 + j**2 - 14. Let r be q(l). Let a be (r\/(-21))\/(2\/33). Sort a, -4, -3 in decreasing order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (0 + (-2 - -4) - 5). Is 68\/7 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 124*k + 470. Determine c(24).\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*b = s + 138, 4*s + 2*b - 134 = 0. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2545 (base 9) to base 2\nAnswer: 11101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503995088 to the power of 1\/2, to the nearest integer?\nAnswer: 38781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 706.2 + -717. Let t = -0.07 - 10.93. Let c = x - t. Put c, -0.2, 5, 0.5 in ascending order.\nAnswer: -0.2, c, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 48420*f + 387040.\nAnswer: 5*(f + 8)*(f + 9676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/1801184 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2467379 and 939?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bdad8 (base 15) in base 13?\nAnswer: 389279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 15 = -2*l. Let q = 50 - l. Calculate the remainder when (2 + q\/4)*2 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - -1)\/(0 + -1). Let d = p - -12. Suppose 0 = s - 5. Calculate the greatest common factor of d and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52678294301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t = 45*t - 6880 + 7120 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46886 by 14.\nAnswer: 3349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1 - (-34 - -40)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7776 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1716 - 3603 = -4*g, -4*g = -d - 5299. List the prime factors of g.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 789889 and 1.\nAnswer: 789889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.1248g to tonnes.\nAnswer: 0.0000331248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235242 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: Solve -174*j = -179*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = q, -124*q - 5 = a - 121*q. Let r(v) = 7*v**2 - 2*v. Let b(o) = -6*o**2 + 3*o. Give a*r(s) - 3*b(s).\nAnswer: 4*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137 - 6?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 888 = 3*r. Suppose -5*h - 62 = -r. Let v(x) = -6*x - 1. Calculate the remainder when h is divided by v(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*r - 9. Let b(g) be the first derivative of -r + 1 + 3*g**2 - 4*g**2 - 3*g**2. Let c(f) = -2*f. Give b(c(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 216701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(2\/11)))\/(u**(-4\/7)*u)*(u**(-1\/2)*u)**(-12)*u\/(u**(-6)*u*u)*u*u**(-6)*u*u**(2\/19)*u**(4\/7)*u assuming u is positive.\nAnswer: u**(-6686\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 26*d**2 + 4*d. Let g = -87 - -84. Is 13 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 - 14*m**2 + 210*m + 413. Determine s(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122 * 2.8454.\nAnswer: 0.3471388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -0.6. Which is the nearest to 0.4? (a) x (b) -0.2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-1900)*-380*-5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 2 + 2 + -1. Let p be (12\/(-8))\/(j\/4). Let z be (8\/p + 1)\/4. What is the biggest value in 0.3, -3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -550343?\nAnswer: -550343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78) + -2*sqrt(78))*5 - sqrt(78))\/(6*sqrt(12)\/sqrt(2)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 3453 - 1387 = 0. Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1385836.121 - 0.\nAnswer: -1385836.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = -4*t, -3*x + 5 = 2*t - 7. Let k = 1925636063\/745 + -12919082\/5. Let q = k + -930. Is q != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - p = -3*p - 120, 5*p = -3*s + 180. What is the remainder when s is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/569 - -1165\/5121. Which is the biggest value? (a) -0.2 (b) -12.56 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/54*(-4 + 4). Suppose -8 = -3*x - 2. Put -8, x, o in increasing order.\nAnswer: -8, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750\/(-50) - (-21 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7306329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -64*d**2 - 4*d - 1. What is f(1)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -1120?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 6. Let s be k(4). Let v = 0 + -1. Let p = 0.1359 - 5.1359. Which is the closest to v? (a) 0.5 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 + 245. What is y in -4*y**4 - 34*y + 16*y**3 - 8*y + 8*y**2 - 6*y - d = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667422 < 19334841\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/20)\/(25\/150). Let d = 1.8 + 0.2. Which is the third biggest value? (a) s (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 99*t - 118. Let p(a) = 199*a - 238. Let y(s) = -6*p(s) + 13*r(s). Differentiate y(z) with respect to z.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383100395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2042886 = -119*b - 2044909 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/64*(-812)\/1218*(-12)\/16\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 41877016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1063 - 11985 = 232*l + l for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.047 (c) 2\/15 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -7*h**7\/10 + 7*h**6\/3 - 129*h**5\/100 - 139*h**4\/30 + 46*h**3\/5 - 36*h**2\/5 + 5*h + 6. What is g in u(g) = 0?\nAnswer: -1, 2\/3, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3468731913.99999983 - -3468731941. Let s = 19 - -8. Let d = p - s. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -10, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 58. Give v(10).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0 (c) 831\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 545*y - 28 = 541*y, -y = 5*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104652\/11 or 9514?\nAnswer: 104652\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {r: 1, l: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1794241009.\nAnswer: -1794241008.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 73*h - 1363. Let k be u(-9). What is the biggest value in 0, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:52 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -79\/3. Let h = 0.18 + 0.02. What is the nearest to m in -3\/4, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 + 1 + 91215\/(-1170)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:44 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 5*p + 11 + 7 - 12. Suppose -4*x + 158 = 5*m, 3*m - 74 = 4*x + 8. Suppose 5*i = -5*f, -2*i - m = 2*f - 6*f. Determine o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 11 - 19. Suppose 0 = -5*m + 5*r + k, -m + 12 = -2*r + 2. Suppose -m = -8*t + 7*t. Solve t*z = z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 121*v**5\/15 - 429*v**4 + 60916*v**3\/9 - 21840*v**2 + 78400*v\/3 + 8453. Determine g, given that m(g) = 0.\nAnswer: 14\/11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, w: 3, o: 6, m: 5, t: 2, i: 1}. Give prob of sequence win.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.041 - 0.541. Let k = 48.76 - v. Round k to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15495 + -15480. Let d(w) = 8*w**2 + 2*w - 2. Let y(t) be the first derivative of -19*t**3 - 15*t**2\/2 + 15*t - 1. Determine q*d(i) + 2*y(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 748782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1238 bigger than -1026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -99 - (-18 - -11 - (-4 + (-4 - 1)))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -887228*v**5 - 1948*v - 305 wrt v.\nAnswer: -17744560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5974 is divided by 1492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1325095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 38*f - 49. Let x be (-4)\/(138\/(-23)*f\/(-3)). Is x smaller than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d + 3, 4*w - 363 = d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i**2 - 2*i**2)*(1 - 5 + 2)*(0 - 4 + 3)*(34*i - 12*i + 31*i).\nAnswer: 106*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-986)\/493*(-7)\/1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 279 + 27. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/94498 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 times 0.2?\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:06 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -81. Suppose 0 = -j*o - 3*o + 30. Suppose -o*z = -4*z - 6620. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328743217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 + 9. Let w(o) = -5*o**2 + 8. Let s(p) = -5*w(p) + 4*z(p). Let y(g) be the first derivative of s(g). Let x(n) = -2*n. What is y(x(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 95 = 27. Let x = u - -24. Let k = x + -17\/3. Find the common denominator of k and -41\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/(sqrt(343) + 1*sqrt(343) - sqrt(7)))\/((sqrt(75)\/sqrt(5))\/sqrt(3)*4).\nAnswer: sqrt(5)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k + 1. Let o(p) = -p**3 + 5*p**2 - 2*p + 6. Let x(b) = 2*m(b) - o(b). Let r = 2754 + -2760. Give x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 27 - 17 + 2158*u to the form n*u + m and give n.\nAnswer: 2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7774 by -23.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 25 - 25)*(0 + 1 + 0) + (-29 + 7 - 8)*(2*y + 3*y + 2*y).\nAnswer: -214*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 45\/4 + (-1)\/4. Let s = -66 + 67. Calculate the highest common factor of c and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 + 151. Suppose -h*m - 1393 = -4*l, -5*l = 62*m - 66*m - 1740. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1501.088 + 1497.2879995. Let l = 3.8 + k. What is l rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:56 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 + 99 = 137*i. Factor 1\/8*l**i + 0 + 0*l + 0*l**2 - 1\/8*l**4.\nAnswer: -l**3*(l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267516 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6 - 6)*(-4 + 2 + 4)*(0 + 55*w + 9 - 7) to the form n + o*w and give o.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - b + 2. Let q be f(-2). Suppose 3*y + 3*c - q = 2*y, -3*c + 60 = 3*y. Suppose 3*w - 45 = 18*w. Put w, y, 3 in descending order.\nAnswer: y, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*v + 6 - 22 = 0, 3*u = -2*v + 8. Suppose -i + 4 = 6*h - 2*h, -5*h + 14 = -i. Factor 0*o + 44*o**4 - 36*o**3 - 149*o**5 + 4*o + u*o**h + 133*o**5.\nAnswer: -4*o*(o - 1)**3*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 57147038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t + 1. Let s be b(-2). Let h be -3 - (s + 0 + -7). Suppose h*q = -0*q + 270. Calculate the highest common divisor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = -5*j + 5*d, 2*j = -3*d + 2*d - 158. Let v be 14\/j + -1 + (-233213)\/(-11). What is v rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = 3. Let q(z) = 5*z - a*z + 3*z - 5*z. Let h be -2*(-1 - 1\/2). Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110324226 to the power of 1\/2, to the nearest integer?\nAnswer: 10504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*p = 789*p - 96 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67254172?\nAnswer: 2, 16813543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 6)*(4*m**4 - 166*m**4 - 129*m**4) to the form a*m**2 + x*m**4 + y*m**3 + h*m + u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -0.2. Let r be (-6)\/(-8)*(-2)\/6. What is the closest to l in r, 4, -6\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 376774\nAnswer: -2\/188387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/7 - 1 - (-857935)\/455 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - 4273745?\nAnswer: -4273765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c - 102994 + 2*c - 103004 + 205998.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/17))**(-14\/15)*(s**(-16))**(-1\/35) assuming s is positive.\nAnswer: s**(718\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 9 - -1) + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)\/r)**(-18\/7)*(r\/r**(-10\/7)*r)**(1\/52))**1 assuming r is positive.\nAnswer: r**(1878\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d - 25. Let t be s(-6). Let f = -6 - -6. Suppose -5*y + 45 = -f*y. Solve -4*o = -y*o - t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 17. Let j be g(0). Let m be (8\/6)\/(1\/3). Suppose 0*d + 5*s = 3*d - j, 16 = -m*d - 3*s. Let q(h) = -h. Give q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 8) to base 9\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**3\/3 - 1156. Let h(a) = -2*a - 533. Calculate h(y(q)).\nAnswer: 4*q**2 - 533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 209832440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90770424013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -4*v. Let p be (102\/v)\/3*-2. Solve -3*i - p = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 96 = -2*m, -m - 17 - 31 = y. Let l = -45 - m. Suppose 23*i = 28*i - 20. Solve -i*f = -6*f + l*x - 2, -3*x = -12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15477*h**3 + 5207*h**3 + 5282*h**3 + 5188*h**3.\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(10\/3)\/t)))\/t**(-7)*(t*t**(-29))\/(t\/(t*t*t*(t*t**41)\/t)) assuming t is positive.\nAnswer: t**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + 5. Suppose -36 = -d - 2*s, 0 = -3*d - 3*s + z + 73. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4 = o, 2*o + 2*o + 2*s = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + -38. Let z = 3.65 - 57.85. Let c = b - z. Round c to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3549263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7491 and 8899.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -22040441241?\nAnswer: 22040441214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -30. Suppose -5*d = -l - 6. Calculate the smallest common multiple of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-25)\/(n*n\/(n*n**(-1\/5))))\/(n**9)**(-28) assuming n is positive.\nAnswer: n**(1129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)\/(-3) + 0. What is the units digit of -1 - -13*(t + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q + 6. Let r(s) = -31*s**2 + s. Calculate c(r(x)).\nAnswer: -465*x**2 + 15*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -100. Let n be (4\/1)\/(0 + 1). Let m(l) = -2*l - 3. Let a be m(-3). Sort n, o, a in decreasing order.\nAnswer: n, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**4\/24 + b**3\/6 + b**2. Let j = -130 + 136. Determine v(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6421 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6791071 minutes in milliseconds?\nAnswer: 40746.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-4)*j))\/j)\/j**(-1\/3))\/(j*j*j**(-1))**3)**(-2\/7) assuming j is positive.\nAnswer: j**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - (-1)\/3. Let p(n) = -n**3 - n**2 + n + 1. Let h be (-31)\/(-5) + 6\/(-30). Let q(l) = 3*l**2 + 4*l - 3 + 2 - 1 + 3*l**3 - h*l. Give g*q(y) + 2*p(y).\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-17)\/(((j**(-1)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1789 + -1789.2498. Let z = 64.1698 + x. Let b = z + -65. Round b to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -40*n - 1072. Let d be b(-28). Put d, 21, -2 in decreasing order.\nAnswer: d, 21, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 17 - 7 + 10 - 14*r + 6.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 2 v when four letters picked without replacement from {i: 4, v: 2, l: 1, g: 2, y: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17128283 (base 9) to base 10\nAnswer: 8581296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1843045, 3686082, 5529113, 7372138, 9215157?\nAnswer: 11058170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = l + 13*l. Let b = l - -17. What is the lowest common multiple of b and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -814*h**3 + 90*h**2 + 10*h - 2919081?\nAnswer: -2442*h**2 + 180*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -552085.\nAnswer: -1\/552085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/135 - (-1960)\/630*55\/(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 552 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 20211437*q - 3. Let m(o) = o. Calculate k(m(c)).\nAnswer: 20211437*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -7)\/(1*2). Suppose t = -4*y + 6*y - 32. Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let u(k) = k**2 + 4*k - 71. Calculate the least common multiple of u(-11) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -17*b**2 + 24*b**2 - 13*b**2. Let j(p) = 2*p**2. What is j(z(k))?\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let b be 1*(-3 + 1 + 8\/o). Solve 0 = -4*y + 8, b = -4*a + 9*a + 3*y - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 1. Let u(d) = -d. Let p(s) = -l(s) + 4*u(s). Let n(q) = -1. Let z(r) = -n(r) + p(r). Let y(f) = 2*f. Calculate y(z(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36066 divided by 18033\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, b: 2, j: 2}. What is prob of sequence bb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-9)))\/x**(-1\/7)*(x**4\/x)**(-20))**(1\/2) assuming x is positive.\nAnswer: x**(-178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/2*1294\/(-64053)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**5\/20 - 6*s + 4. Factor j(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4363969 or 4363970?\nAnswer: 4363969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) - 1\/1. Let h = -4.71236 - -4.31236. Which is the biggest value? (a) 89 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/7 + 1)*441\/(-126). Suppose 2*b - c = 9, 2*c + 3*c + 17 = -4*b. Let o be 1*x\/(-6)*(b - -1). Solve 0 = s + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.026 + -0.174. Let f = -202 + 813\/4. What is the nearest to 0 in m, f, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 355537478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 191*w = 11040 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4413215, 4413212, 4413207, 4413200, 4413191?\nAnswer: 4413180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j*j\/(j*j**(1\/4)))\/j)\/j)\/j)**10)**34*((j*j*j\/(j*j**(-5)*j))\/j**(-2\/13))**(-36) assuming j is positive.\nAnswer: j**(-8405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2634*n**2 + 2*n + 2783. Let g(c) = 5269*c**2 - 5*c - 5571. Let a(l) = -2*g(l) - 5*h(l). What is the first derivative of a(i) wrt i?\nAnswer: 5264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 5, o: 6, h: 5}. What is prob of picking 1 g and 2 u?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 2. Let h be b(3). Suppose -10 = -2*r - y, 2*r - h*y + 4*y = 10. Suppose 0 = -r*w + 2*w. Solve -g = 1 - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 28*a + 34. Give m(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose b = 5*q, -5*j + 3*q + q + 16 = 0. Suppose 4*f - 10 = -2. Calculate the remainder when j is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.6569 years in decades?\nAnswer: 95.76569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2 - 19 - 26 + 5*g + 15 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 - 64*k\/9 - 512\/9.\nAnswer: -2*(k + 16)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 250*l**4 - 1375*l**3 + 20950*l**2 + 68880*l = 0. What is l?\nAnswer: -41, -14, -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**7\/2100 - x**6\/1800 - x**5\/600 + 7*x**3\/3 + 6*x. Let u(k) be the second derivative of m(k). Factor u(q).\nAnswer: q*(q - 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -115, -106, -95, -82, -67?\n\"Answer: g**2 + 6*g - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*-4*(sqrt(68) - -2*sqrt(68))*-2)**2.\nAnswer: -1152*sqrt(17) + 352528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(75\/(-8))*-11*(-6)\/528.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v + 1. Let u be -1 - (-5 + 2\/1). Let f(g) = 2*g**2 + 0*g**2 + g - 4*g**u - g**2. What is -f(m) + 2*y(m)?\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92919043*k - 92847827 wrt k?\nAnswer: -92919043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 3, b: 1, w: 6, n: 2}. Give prob of sequence wwvh.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423986 - -423995.40435. Let w = -1.40491 + i. Let b = 8 - w. What is b rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -671 - -944. What are the prime factors of d?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from pipoimibpm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c + 67 + 38. Sort -4, 0, c, 23, 1.\nAnswer: c, -4, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3237 - 3231. Let i(v) be the first derivative of -12*v - 11 - 3\/4*v**4 + f*v**2 + v**3. Solve i(c) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 36*d**2 + 28*d - 25. Is x(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -854022*5\nAnswer: -4270110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 122. Let o be l(-31). Solve 4*p + o = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*g**3 + 91\/5*g**2 - 91\/5 - 1\/5*g.\nAnswer: (g - 1)*(g + 1)*(g + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(7803\/136)\/51.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 20. Solve 0 = q - 5*q - m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5467580756 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 22*v = -3*r - 18, 0 = 4*r - 4*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 + 80 + 19 + -18\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-2)\/(-24)). Let i = 674 + -675. Sort p, 2, i in decreasing order.\nAnswer: p, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssynyy. Give prob of sequence ysyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8572*p**2. Let f(r) = -2*r**2. Give m(f(q)).\nAnswer: 34288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -726 - -728. Suppose 5*c + f*s - 12 = 0, -8 = -21*c + 18*c - 2*s. Solve 0 = -c*u + 4, 3*j - 4*u + 14 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20620968?\nAnswer: 2, 3, 47, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*n - 144362, -5*n + 40665 = s - 7474. Does 60 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -27*i - 17. Calculate the remainder when 67 is divided by t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -308 + 310. Which is the nearest to 2\/5? (a) 0.1 (b) l (c) -14 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -549, -461, 87, 1257, 3211, 6111, 10119?\nAnswer: 15397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b - 9*b - 8*b - 10*b**3 + 35*b**2 - 15*b + 8*b.\nAnswer: -10*b**3 + 35*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 866, 874, 892, 926, 982, 1066, 1184, 1342?\n\"Answer: x**3 - x**2 + 4*x + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + -164)*(-6)\/8.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 0.1, -1, 5, 0.89?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25361383 and 85982.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -66. Suppose 3*h + 4*t + j = 0, 0 = 2*h + t + t - 2. Factor 5*c - 5*c**3 + 11*c - h*c + 5*c**2.\nAnswer: -5*c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 9:05 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 4. Let o be u(3). Let d be (0 - (-1)\/(-3))*-6. Solve o*a + d + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 158*w. Let n = -138 + 144. Let k(t) = -2*t - 21. Let x(p) = -3*p - 35. Let s(u) = n*x(u) - 10*k(u). Calculate s(v(q)).\nAnswer: 316*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + s**3 + 6*s**2 - 6*s**2 + 32*s**2 + 1 - 32*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2595.8426 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1084, 1085, 1086, 1087?\n\"Answer: j + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 211230121 (base 4) to base 11\nAnswer: a5aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + -2)**2 + (-2 + sqrt(5))*6.\nAnswer: -66 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10174078.5 to the nearest one hundred thousand.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 - 68*w - 239*w - 96 - w**2 + 165 as o + n*w**2 + i*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*k - 0*u + 25, 6 = -2*u. Let o = 25\/3 - k. Which is the smallest value? (a) -3 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 404\/303*(-324)\/48.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 508\/3 in 0.1, -2\/3, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*s + a - 99, -2*s + a - 47 = 0. Let l = 35 + s. Suppose -6 = -3*x + l. Solve x*q - 24 = z, 4*z - 4*q + 4 + 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let g(f) = -f - 680. Give g(l(v)).\nAnswer: 2*v - 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2325 divided by 5\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 + 118*u**2 = 0 for u.\nAnswer: -118, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -3*n**3\/2 + 2*n**2 - 133*n. Let w(t) = 99*t - 45. Calculate 45*i(o) + 4*w(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1635.473417 + 1.997583. Let x = -1762.47384 + r. Let u = -125 - x. Round u to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 20 = 6. Let i be (96\/(-45) - j) + (-4)\/(-480). Which is the nearest to -2.7? (a) -1\/5 (b) i (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011113 - 11311?\nAnswer: 333202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 654408 and 2235?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -39583*p - 587*p**3 + 2*p**2 - 229*p**3 + 39577*p - 1 in the form v*p + q*p**3 + l*p**2 + a and give q.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 141, 112, 49, -60, -227, -464, -783, -1196?\n\"Answer: -2*z**3 - 5*z**2 + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3 - 9. What are the prime factors of (-3 - (0 - f)) + 51?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + 2 + 1 + 3 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 7*s**2 - 6*s - 1. Let a be t(6). Let n(l) = -8*l**3 + l**2 + 2*l + 1. List the prime factors of n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 = -4*r - 0*r. Suppose 5*l - 14 - r = -2*x, -2*l + x = -85. What is the highest common divisor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 98 = 421 + 327 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/9 + 34*s**2\/9.\nAnswer: s**2*(s + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19530 and -0.57691.\nAnswer: -19530.57691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let q(j) be the second derivative of 7*j**3\/6 - j**2\/2 + 13*j. Let g be q(2). Let v(a) = -13 + 6*a**2 + g - 35*a**2. Calculate m(v(z)).\nAnswer: -1682*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 12)*(-1 - 3 + 5)*(-3*o + 2*o - o).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 1\/8*f**4 + 24*f**2 + 0*f**3 + 0*f + 0. Let z(m) = 7*m**2. Calculate o(z(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**11\/i)*i**8 assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 1149.568?\nAnswer: -1147.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 = -9*v - 83. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - w + 13 = 3*n, n = -7*w - 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*(-744)\/(-9765).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 21*g + 82*g**2 - 8*g - 20 - 83*g**2. Let o be v(8). Suppose -o*h = -16*h. Put h, 23, 4 in ascending order.\nAnswer: h, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 - 3. Sort 4, h, 2 in decreasing order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 329 = -12*g. Suppose -b + g = -23. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 854660 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 447503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 16 = 2*j, -4811*m - 16 = -4813*m + j for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/6)\/5 + (-4)\/(-12). Let b(g) = g**3 + 9*g**2 + g + 13. Let n be b(-9). Solve 4*j - 2*t + q = -4, -4*j - n = t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g + 7. Let p(d) = 11*d + 10*d + 15 - 22*d. What is the smallest common multiple of p(6) and v(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 5*l = -9*j - 2, 0 = -2*l + 8 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16 - 7 - o + 23. Let j(m) be the third derivative of 0 + 0*m**3 + 0*m**4 + m**2 + 0*m - 1\/15*m**5. Give j(r(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1976 and 1024556.\nAnswer: 2049112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:25 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m - 3*m)*(-378*m - 84304 + 84304)*(-5*m**3 + m**3 + 0*m**3).\nAnswer: 3024*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 - 13930525*x**3\/2 - 6965262*x**2.\nAnswer: -x**2*(x + 1)*(x + 13930524)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*u + 6 = 0, 164*a - 3*u + 5 = 163*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in -1\/11, -0.292, 2\/3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*2)\/sqrt(12))\/(1*sqrt(288)) - (sqrt(27) + -1*sqrt(1323) + sqrt(1323) - sqrt(27))\/(sqrt(9) - (sqrt(45)*-2)\/sqrt(5)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -h + 7. Let y(d) = -2*d - 7. Determine y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from oohpvppottphvpvvtho?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -384, -560, -718, -852, -956?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 126\/(-12)*16\/(-3). Suppose -50 = 2*z - j. Solve 2*b + z*s = 11, 2*s = 7*b - 3*b + 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -17. Suppose -2*i - 3*s + y + 0 = 0, -2*i + 5*s + 41 = 0. Let o = i + -8. Solve -2*n + 3*x + o = 0, 5*n + 10 = 4*x + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/84 - g**3\/21 + g**2\/14 - g. Suppose m(u) = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 15*d**2 - 10*d - 7. Calculate the remainder when 14 is divided by b(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14027841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 331282538 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 0*q**4 - 3*q + 2*q**3 + 28 + q**2 + 25 - 9*q**4 as o*q**3 + b*q**4 + j + n*q + s*q**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:56 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 195695283 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29684430 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28617 - 10198. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + 54. Let d(y) = -y**3 - 2*y**2 + 2*y - 1. Let j be d(-3). Suppose j*t + 5 - k = 0. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -98 + -12 + 2 + 8 + 3.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*m + 66 - 98 = 0, -m + 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*t - 83*t - 634*t - 3*t.\nAnswer: -788*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 11. Calculate the least common multiple of 16 and f(-15).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2290 + -2279. Solve 0 = n*i + 481 - 503 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -419 + 422. Let x = 7 + 11. Suppose -4*m = 5*z - 29, m - 3 - x = -4*z. What is the second biggest value in u, 5, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*40\/24*8\/(-20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjm when three letters picked without replacement from mmmjjmhmpj.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2155 - -2539. Which is smaller: 4695 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 7 = 4*b - 21, -8*g + g - 37 = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1\/2)*(-989)\/(-46). Let d = -43 - p. Suppose b + o - 178 = d, -3*b + 4*o = 67 - 622. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/23)*p)**(-38)*(p\/p**(-16))**50)**(-35) assuming p is positive.\nAnswer: p**(-656320\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499 is divided by 878?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**5\/20 + r**4\/4 + r**3\/6 + 3*r**2\/2 + 2*r - 3. Let z(u) be the first derivative of o(u). Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*r = -45, -5*b + 2*r + 40 = 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 30 = 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25140 + 194474.\nAnswer: 169334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47703467.\nAnswer: 7, 151, 45131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.64 + 9.84. What is the smallest value in w, 4, -2\/15, -579?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 0, 0*p = -5*s + 3*p + 1. Suppose 35 = -424*h + 429*h. Solve -3*r + r - h = t, -3*r - 13 = s*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 2*g - 14, 2*q - g + 9 = 0. What is the remainder when (-58)\/q + (-6)\/4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 6, 1, -8, -21, -38?\n\"Answer: -2*q**2 + 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348640 is divided by 31693.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12457*j + 12880*j + 1269 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29337696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:33 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7470, -7410, -7266, -6996, -6558, -5910, -5010, -3816?\n\"Answer: 7*k**3 + 11*k - 7488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313794457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18711 and -74.\nAnswer: 1384614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaf when four letters picked without replacement from {a: 4, f: 7, p: 1, b: 1}?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p - 5. Is z(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*s - 57*s - 36. Solve -s = -4*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 23587?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 2*t + t)*(-26 - 10*t + 26) + 73 - 73 - 205*t**2)*(-t + 4*t - t).\nAnswer: -450*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3456173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70558944 - 70558932.9999986. Let n = 0.86 - -10.14. Let z = n - c. What is z rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19669 and -0.3.\nAnswer: -5900.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44014.7ml to litres.\nAnswer: 44.0147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*f - 24*f - 24*f - 4200. Solve -f = 20*v - 180 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272*-1.9\nAnswer: -516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28125895 and 9782920?\nAnswer: 225007160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -2\/13 (c) -3 (d) 2 (e) -1\/301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*q - 240. Let c be 84*(-3)\/(36\/q). Let k = -101 + c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 320*b**3 + 4*b**2 - 6*b. Calculate v(1).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:31 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**3 - 13*h**2 - 15*h - 8. Let i(z) = -8*z**3 - 13*z**2 - 15*z - 7. Let s(w) = -6*i(w) + 7*x(w). Is s(-14) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 70. Let y be -1 + (-1 - -1 - -13). Let r be (2 + -1)\/((860\/80)\/43). Solve -r*x - 5*c = 3, -n*x = 3*x + c - y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 3. Let h(p) = -p**2 - 5*p - 6. Let m(d) = -4*h(d) + 9*v(d). Let l be m(-4). Suppose -2*c + l = -c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 10*q**2 - 12*q + 1. Let l be y(11). Let s be 135536\/(-17433) + 5\/l. Let w = -6\/1937 + s. Calculate the common denominator of w and -143\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -23, 1\/7, -1, 9, -1.2, 10 in descending order.\nAnswer: 10, 9, 2\/9, 1\/7, -1, -1.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r - 9. Let l be w(3). Solve -4*t - 10 = 10, -5*q - 3*t - l = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4 - 4*q**2 + 4*q + 3*q**2 + 3*q + 0. Let c be x(6). Suppose -5*w = -5*z - 70, -5*w + c*w = z - 34. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22818 and 2?\nAnswer: 22818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 4*j - 0, 4*p = 5*j + 42. Suppose d - p = -v, -12 = -4*d + v - 0*v. Let a be 8\/(-4)*(-10)\/4. Solve -a*x = -6 - d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2881.4617 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 - 3 - 18)*(-101 - 10*v**2 - 12*v**2 + 96) to j*v**2 + i + n*v and give i.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - ((sqrt(272) - (sqrt(272) + 0)) + -3)) + 0)**2 - (5 + (sqrt(833)*-2 + 4)**2).\nAnswer: -3072 + 136*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -67.8709 times 0.2\nAnswer: -13.57418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -6?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.33?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:35 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/14*32\/(-12))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9800 = -2208*r + 2488*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, w: 5}. Give prob of picking 1 y and 1 w.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/4 + 9*w. Let q(h) = 4*h**2. What is q(d(f))?\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*p**2 + 161*p wrt p.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4974042 (b) 1\/5 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2203880.\nAnswer: 2, 5, 7, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266651085 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 5, k: 3, h: 1, a: 2}. What is prob of sequence kh?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6700351 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88429 + 88434. Let l be (-2 + (-1 - -2))*3. Calculate the remainder when ((-6)\/2)\/(l\/10) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -0*d + 2*o, 4*d + 24 = -5*o. Let g = d - -36. Suppose 0 = -6*k + g. Put -5, k, 4 in increasing order.\nAnswer: -5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 4. Let l(y) = 3*y + 1. Let w be l(1). Let s = 0 + w. Give b(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3\/2, -21, -323 in ascending order.\nAnswer: -323, -21, -2, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 421*f + 11*f**2 + 209*f + 213*f as w*f + j + s*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*t + 58 = 0, 26*t = 4*m + 22*t - 40. Suppose 27 = 23*p - m*p. Solve 0 = 2*n + p*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11146.4 + 11146.4300236. Let d = -0.1 - -0.07. Let z = u + d. What is z rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*f + 481, 3*o - 113 - 253 = 2*f. List the prime factors of (2 - 3) + (2*o - -1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2390 and -31\/35.\nAnswer: 16730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 45*y**2 - 125*y - 165.\nAnswer: 5*(y - 3)*(y + 1)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2592 and 453168?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**19*w**(15\/7))\/(w\/(w**(-9)*w))**26 assuming w is positive.\nAnswer: w**(-1490\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2 + 5 - 3 + 0*h**2. What is f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*i + 31*i = -90*i + 4518 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162479*w**2 - 295565*w.\nAnswer: -324958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 738 and 574.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5248 = -2*s, -5*s + 26*c = 24*c - 13112. Is 69 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -16 + 9 + -3 - -2) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 5*j + 3. Let z be v(3). Calculate the lowest common multiple of 5*3*z\/9 and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -386\/5 - -14272\/185. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5855715 centimeters?\nAnswer: 5.855715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -7. Suppose -5*h - 2*v + 5*v + 11 = 0, 5*v = 2*h + 7. Find the first derivative of 8 - s + 0*t - 6*t**h + 0*t wrt t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11757 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: Suppose 0 = g - 2*g - 16. Let k = 38 + g. Calculate the greatest common factor of k and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.114 - -0.11616. What is f rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2 + 4*p - 4. Let y be v(3). Let i be 84\/(-1)*6\/(-12). Let d = i + y. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 3429 = -95*x + 2311 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/9))**46*f**(-12)\/f**11)**20 assuming f is positive.\nAnswer: f**(2300\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*q + 3055, -6*v + 2*v + 2459 = q. Let l = v + -610. Solve 4*w + 2*n = 16, -5 = 3*w - l*w - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.11764 centuries to millennia.\nAnswer: 2.211764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 250*u + 28. Let y be m(8). Suppose -7*o = 6*o - y. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2182 = -2095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/120 + l**5\/10 - l**4\/12 - 5*l**3\/2 + 2*l**2 - 73*l. Calculate the lowest common multiple of 42 and m(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:04 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3001.\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/163 - -153\/326. Let z = 11 - 12. Let t = z + 0.91. What is the nearest to k in 0.1, -3, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:42 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/(r\/(r\/(r\/(r\/(r**(-2\/7)*r))))))\/r)*(r\/r**(3\/11))\/r)\/((r*r*r**5\/r)\/r**(-6\/19)) assuming r is positive.\nAnswer: r**(-8594\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-6))\/(7*6\/(-42)))\/((-250)\/(-10750)).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 54.6. Put b, 31, -1 in descending order.\nAnswer: 31, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 26*r + 65. Let u(d) = -21*d**2 + 329*d + 104. Let z be u(16). Determine l(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-72)*(-800)\/6. Suppose 0*q + 325 = q. What is the greatest common factor of s and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 19010 = 6*l + 5*j, -3*j = -l - 3794. What is l rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 218624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 9.3\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 8 + -4 - (-4 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48561, 48590, 48649, 48744, 48881?\nAnswer: 49066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 4. Is 14 a factor of t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*r = -395, 5*h - 2*r - 425 = 2*r. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 12 = 3*i, 0 = -3*i - 2*q + 8. Let l(b) = -b**2 + b - 4. What is l(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/11 + -248\/165. Let c(i) be the first derivative of 0*i**2 - p*i**3 + 0*i - 4. Solve c(t) = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 72*s - 15. Let z be u(12). Let a = z - 214. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5*i + 2. Let d be (6 - 8)*(-9)\/(-2). What are the prime factors of m(d)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 476\/63)*-9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41530296 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2930255?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -787684*-5.\nAnswer: 3938420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-36) + 6\/(-9). Let w be 78\/21 - 2\/(-7). Which is the closest to l? (a) w (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-41))**(2\/55)\/((x\/(x**(-8\/5)\/x))\/(x\/(x\/(x\/(x**(-47)\/x)*x*x)))) assuming x is positive.\nAnswer: x**(505\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 43. Let a be (o\/(-48))\/((-1)\/(-15)). Solve 6*p - 4*p = a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 41*y = 42*y - 10, -2*y = 6*t + 9 - 19 - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*r = r + 245, 4*r - 645 = -5*h. Let v = -118 + h. Solve v*f - 4*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 - 2*z + 2. Let k be f(0). Let p be (k + 3\/(3\/(-2)))\/2. Which is smaller: -2\/103 or p?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*z - 396*z + 900 = 255*z + 377*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77 + 33 - 29)*(15*r + 13*r - 9*r)*(-3*r + 6*r - 2*r) to the form a + h*r**2 + y*r and give h.\nAnswer: -1387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 - -3) - 9 - (-12 - (-6 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/b)**35\/((b**(-1\/70)\/b*b)\/b*b*b**46) assuming b is positive.\nAnswer: b**(-37519\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 24*t**3 + 6*t**2 + 15*t - 115. What is the units digit of y(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1510 and 22\/151.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 54. Let z be m\/3 + ((-4)\/(-3) - 2). Let x(h) = h**2 + 3*h. Let r be x(-5). Is z less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.083107 millennia in years?\nAnswer: 1083.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116848.\nAnswer: 2, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l + 107. Suppose -k = 5*t - 30, -5*k = -23 - 2. Let z(f) = 3*f - 53. Let a(m) = t*z(m) + 3*s(m). Let h be a(17). Solve 0 = -h*d + 3*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95513 and 2142?\nAnswer: 97655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244945 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from burubbbooboobofukub. Give prob of sequence uuku.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272194814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 + 9.81. Let g = 10.3 - b. Round g to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/360)\/(16\/10*(-3)\/2)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 444?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7\/2. Let x(s) = s**2 + 95*s - 394. Let b be x(4). Factor 1 - j*a + 1\/2*a**b.\nAnswer: (a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:49 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -26, -16, -2, 16?\n\"Answer: 2*y**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (5 + -2 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.046 rounded to 1 decimal place?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Which is the closest to p? (a) 0.4 (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 11*v + 4. Determine j(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*j - 2348 + 596 = 1820 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -14 - -11 - (-1 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.3205.\nAnswer: -1.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - 14\/(-4). Suppose 0 = -2*t + t. Suppose 4*x + 5*k = 15 + 9, t = w*x + k - 40. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33122766.\nAnswer: 2, 3, 17, 324733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*w - 25*u + 46 = -127*w - 239, -2*u = -24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - 7*g - 6. Let i be p(-5). Suppose -f + 5*j = 23, f = -f + i*j - 16. Suppose 953 = -f*d + 2295. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -647 (base 9) in base 4?\nAnswer: -20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39680a (base 11) in base 13?\nAnswer: -18ac83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -2b987?\nAnswer: -2b983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -1. Let j = -18 + 23. Calculate the remainder when j is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5331742110?\nAnswer: 2, 3, 5, 19747193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cudcgcmccdcggdd. What is prob of picking 2 d and 1 u?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/9 - (-140)\/63. Suppose -u*f - n + 18 = 0, n - 13 = -f - 3. Let b be -1 - 3 - (f - 16). Solve -5*r - 2*d + 12 = 0, -b*r + 5*d = -48 + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8996, 8583, 7460, 5273, 1668, -3709?\nAnswer: -11212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((2\/(-3))\/2)*352\/33.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002813 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2809*m - 1. Let o(g) = g. Give d(o(i)).\nAnswer: -2809*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 6) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-434)\/(-4))\/((-6)\/(-4) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -20. Let n = o - -44. Which is the biggest value? (a) 1 (b) 3 (c) -3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 2 k when four letters picked without replacement from tvhthvkkhtvhovvvvh.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 75 - (-58 - -93 - -5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, k: 5}. What is prob of sequence kuk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*r - 5 + (-3 - 1 + 6)*(-10*r + 9 - 9))*(-21 - 57 + 3 + 0).\nAnswer: 1275*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 3*d**3 + d**4 + 3*d + 2 + d + 2*d**3 - 3 in the form b*d**3 + t*d + k + q*d**2 + f*d**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 12*q**3 + 12*q**3 + 13*q**3.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from zvyyyyyyzyayyyyyy?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26922264 to the power of 1\/2, to the nearest integer?\nAnswer: 5189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(30\/12)*(-35)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 740, 1537, 2406, 3371, 4456, 5685?\nAnswer: 7082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, i: 1, r: 2, q: 1, e: 2}. What is prob of sequence ai?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2082, 8303, 18662, 33153, 51770, 74507, 101358?\n\"Answer: -b**3 + 2075*b**2 + 3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1 - 4 + 34 - 19 + (-2 + 2 - 1)*(1 + 3 - 2))*(0*q + 2*q - q)*(11 - 11 - 2*q) to a + c*q + n*q**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 183702?\nAnswer: 183687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:44 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 790.1585ml to litres.\nAnswer: 0.7901585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 23426.\nAnswer: 5\/23426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 343*s**2 - 2*s. Let r(w) = -270*w**2. Give k(r(n)).\nAnswer: 25004700*n**4 + 540*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1057*z + 59. Let a(c) = -16986*c + 942. Let w(d) = 6*a(d) - 99*t(d). Let f(q) = -29*q + 2. Calculate 378*f(g) + 4*w(g).\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*f - 252, 0 = -c + 3*f + 25 + 59. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 39 + 44. Suppose z - 7 = c. Let y(m) = -m**2 + 7*m + 9. Give y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.05, 2\/3, -6.5, 33, 1\/24, -2\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 751*i - 25. Let g(j) = 2*j**2 - 758*j + 21. What is -6*g(d) - 5*v(d)?\nAnswer: -2*d**2 + 793*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 + 55*o**4 + 144 - 12*o**3 + 5*o**3 + 11*o**3 in the form q*o**4 + j + i*o + b*o**2 + d*o**3 and give q.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1310*v - 5*t = -1308*v - 21, 4*t - 18 = -2*v. Solve 5*k + 30 = -5*p, v*p + 5*k + 16 = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 9*o**2 + 3. Is f(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57756621, 57756623, 57756625, 57756627?\n\"Answer: 2*t + 57756619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*t - 684, 34 = -4*t - b + 733. Suppose t*o - 4692 = 151*o. Is 102 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/2 - 2890*v**2 - 11541*v\/2 + 43335 = 0. What is v?\nAnswer: -5778, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 9. Let v(x) = x + 5. Let r(k) = 4*t(k) + 7*v(k). Let p = 0 + 3. Suppose -c - 8 = -p*c. Determine r(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1197)\/168)\/19)\/(9\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*s = 75, 27*b + 17*s - 20*s - 75 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296686455313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 100107 + 15132 = 0. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/13))\/(t*(t\/(t\/(t**(-2\/19)\/t)))\/t))**41 assuming t is positive.\nAnswer: t**(19762\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxnxbnnxnhhbnxdhhdn. What is prob of picking 1 n and 1 d?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 252*a. Let m(r) = -r**2 - 2*r + 5067. Calculate y(m(q)).\nAnswer: -252*q**2 - 504*q + 1276884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8694?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 + -237. Let s = 0.2 - 0.4. What is the third smallest value in s, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7454356488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1235 + -807. Let o = a - 142. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.4 - -73.4. Let w = -4 + 5. Which is the biggest value? (a) 6 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2.4. Let a = h + -0.4. Let k = -1 - a. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 + 984\/5. Let t = 0.091 + 3.909. Which is the second biggest value? (a) o (b) -2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3\/2 - 173*i**2\/2 - 320*i - 114 = 0. What is i?\nAnswer: -3, -2\/5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 32*h**3 + 48*h + 2 + 20*h**2 - 34*h.\nAnswer: -2*(h - 1)*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 + 3*p + 4. What is o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**2 - 1138960*x - 4555760 = 0.\nAnswer: -227788, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - b + 0*b + 5 + b to the form h + z*b and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -80. Let m = -10 - q. What is the highest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:14 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-12) + (-2)\/(-6). Suppose h + 2*x + 1 = 2*h, 2*h + w*x = 18. Suppose 5*t = h*a + 1125, t = 6*t + 5*a - 1105. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 7. Let l(s) = 5*s + 35. Let r(x) = -11*k(x) - 2*l(x). Let z(j) = 3*j + 20. Let w(t) = 11*r(t) - 4*z(t). What is the derivative of w(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7697032536 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014 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: Are 143 and 140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/44*(-9)\/(-6)*-11. What is the nearest to 0 in -4, -5, z, 45?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 449854 divided by 17\nAnswer: 26462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62554749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0412 in 4, -1\/28, 2\/17?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1594 - -0.2.\nAnswer: -1593.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/113749 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 0, 2*z - 11*r = -9*r - 7352. Is (9\/(-18))\/(3 + z\/1224) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7125 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 406519 * 2\nAnswer: 813038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/330 + q**4\/66 + q**3\/11 - 7*q**2. Solve l(z) = 0 for z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/312 and -3 - 4\/7 - -6.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 52. What is j(-28)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9533*c + 1525286. What is p(160)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*85\/(-20)*123.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llpiiiilllpliil. What is prob of sequence llii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 28*v - 57*v + 18*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029049325?\nAnswer: 5, 3547, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1\/6, -2\/657 in decreasing order.\nAnswer: 5, 1\/6, -2\/657, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 576 + 431. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -13\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1175224089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let j(f) = 40*f + 1032. Let c be j(-25). What is the derivative of c*p**3 - 32 + 8*p**2 - 8*p**y wrt p?\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = 5*w, -22*w - 75*q + 356 = -21*w + 13*q + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4 - 2. Let g(y) = -3 - y - 117*y**2 + 7*y**3 + 117*y**m. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:56 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-185)\/15 - (-1)\/3. Let w be (-3)\/r + (-927)\/(-4). Let k = w + -165. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 0, -2*m = -4*o + 2*m. Let r = 29 + o. What is the highest common factor of r and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7079\/42 + 518\/3. Let s = 254 - -8. Calculate the common denominator of -3*3\/(-324)*s and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -155843*o + 2805169. Calculate b(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t**5 - 76*t**4 + 132*t**3 - 84*t**2 + 16*t = 0. Calculate t.\nAnswer: 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**2 - 4*x**2 - 3*x**2 - 2 in the form p*x + g*x**2 + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -655 - -65. Let l = g + 2401\/4. What is the common denominator of l and 103\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 25*p + 2. Let z be l(-8). Let c = -8 - z. What is the closest to 0.1 in -1, 0.9, c?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) - 26\/(-39). Which is greater: 1\/746 or g?\nAnswer: 1\/746","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 70 = 65. Is 5 a factor of -10*(28\/x)\/((-28)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, 0.04, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -342478135 - -1.656?\nAnswer: -342478133.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 40*r**2 + 12*r - 13. What is o(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 25*o + 4 + 15 = 0, -3*q - 4*o = 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3282 and 8468.\nAnswer: 13895988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 13 = 7*o. Suppose -o*l + 46 = -2*l. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 2*h**3)*(-4*h + h + 4*h + (916 + 857 - 2147)*(h - 6*h + 3*h)).\nAnswer: -1498*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, -4980, 2 in increasing order.\nAnswer: -4980, -5, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(51)\/sqrt(3) + sqrt(68)\/sqrt(64).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0258 + 156.6258. What is n rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 346179265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Let i = o + -0.5. Suppose -42 = -2*l - 52. Which is the nearest to 2\/3? (a) 0 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4\/8 + 2583*j**3\/8 - 2577*j**2\/8 - 2583*j\/8 + 645\/2 = 0.\nAnswer: -1, 1, 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3442231 (base 8) in base 15?\nAnswer: -1370ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2678 * -18\nAnswer: -4.8204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9221576l?\nAnswer: 922.1576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*((sqrt(2448) - sqrt(2448)*1)*-2 + -1 - ((sqrt(2448) + 1 + sqrt(2448))*-2 + 5 + -2*sqrt(2448))))**2.\nAnswer: -2115456 + 13824*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/2751807 and 107\/3672.\nAnswer: 198130104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 - 68. Suppose 5*w + 2*l - d = 0, 5*l - 5 = w + 1. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5509, -7470, -9435, -11404, -13377, -15354?\n\"Answer: -2*o**2 - 1955*o - 3552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10522.55 minutes in milliseconds?\nAnswer: 631353000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/42 - 3183\/(-18). Let n = j - 31. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a**3 - 7*a**3 + 9*a**3)*(6*a + 2*a - 5*a).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 3 - 3 + 24*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**5))\/(w**7\/w))\/(w**(-2\/3)*w)**(13\/3)*w**(-3\/5)*w\/((w*w**(-3\/7)*w)\/w)*(w\/((w*w*w**0*w*w)\/w))\/w**(-1\/7) assuming w is positive.\nAnswer: w**(-4559\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = q + 5*o - 6, -5*q + o = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20021102212221 - 1?\nAnswer: -20021102212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005671 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.009.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -21*c**2 + 6*c - 5. Let x be u(6). Let h be (-2)\/6 + x\/(-2205). Let j = h + 15451\/3528. What is the common denominator of j and 25\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(147) + sqrt(3) - 1*sqrt(48).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 10*w - 248. What is the smallest common multiple of 834 and y(-12)?\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:45 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 29 + 107*c - 14*c + 16 + 135*c. Let s(t) = 65*t + 13. Let r(j) = -5*q(j) + 18*s(j). List the prime factors of r(8).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -36*u + 35. Calculate the remainder when n(-4) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1506183, -1506111, -1506039, -1505967, -1505895, -1505823?\n\"Answer: 72*n - 1506255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 514493*f*k**2*q - 3*f*k**2 + 4*f*k - 3*f*q - 5*f + 116*k**2 + 16*k - 3*q + 8 wrt q.\nAnswer: 514493*f*k**2 - 3*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -586512 at least -585665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 954, 2381, 4284, 6663, 9518, 12849, 16656?\nAnswer: 20939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2641*r - 2648*r + 5289*r + 14*r**2. Let s(y) = 22*y**2 + y. What is s(h(d))?\nAnswer: 4312*d**4 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1221 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccpccpccpcp. What is prob of picking 2 p and 2 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1488)\/(-28) - (-3)\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*s + 3, -604*s - 2*q = -600*s - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -76?\nAnswer: -21\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 - b - 3. Let s = -14 + 16. Let w(g) = -g**s + g + g + 0*g - g + 1. Let v(m) = -d(m) - 2*w(m). Give v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20640 divided by -240.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -104*o + 3933. Give w(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8285*j**2. Let l(h) = -h. Calculate l(r(b)).\nAnswer: -8285*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59997720*w**3 - 46792567*w**2 wrt w?\nAnswer: 359986320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 3*f**2 - 2*f. Let m be k(-2). Suppose -2*z + z + 15 = m. Solve -z = -15*x + 10*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 434\/(-35) + 5 - -7. What is the third biggest value in t, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.12676 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a0 (base 11) in base 2?\nAnswer: -1001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20b - -89?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3530092 - -5178683. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4749*c**5 + 557*c - 101890*c**4 + 101890*c**4 + 2*c**2 wrt c.\nAnswer: 284940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 5*b + 7. Let a(l) = -7*l**2 - 127*l + 258. Let m be a(-20). Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-5 - 4*(sqrt(132) + 2*sqrt(132)))\/(sqrt(84)\/(sqrt(700)*-1)) + -2.\nAnswer: -2 + 170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 157 - 15*k - 400 + 85.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1. Let m(b) = -b + 1. Let y(p) = 3*m(p) - 3*o(p). Let r be y(-2). What is the highest common divisor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 + 12 = 0, o = -4*l + 96. Round o to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365600 divided by 9140\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p*p*p*p**6)\/p)\/((p*p**4)\/p*p) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 101, 197, 325?\n\"Answer: 16*j**2 + 16*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433*r - 2127*r - 8001*r - 270*r)*(-1 + 1 + 3).\nAnswer: -29895*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13958951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342466 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 + 2*s + 4. Let m be r(-3). Let u(t) = 11*t - 89. Calculate u(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 200 - 155. Suppose -21 = -2*v + 3*r, -j - 3 = -3*v - 4*r. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261736053 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -130 (b) -2\/7 (c) 3\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 40*z. Suppose h + 2*a - 9 = 0, 5*a - 24 = -0*h - 4*h. Let i be x(h). Solve 5*w = v + v - 17, 4*w + 5*v = -i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/4 - 2*j**3\/3 - 21*j**2\/2 + 8*j - 11. What is the remainder when b(-6) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 > -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*81\/2457)\/(20\/14)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 790? (a) 0.1 (b) 0.03 (c) 0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*k**2 + 3*k**2 + k**2)*(-15*k - 20*k + 29*k + 3*k**2).\nAnswer: 3*k**4 - 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 0. Solve 3*s = -4*x + 23, -x + v*x + 8 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5 + 48\/(-16)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/416 - (-819)\/(-1680)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12\/32665 - 1437752\/1339265. Let z = 1\/401 + 59743\/2406. Calculate the common denominator of z and p.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294 + -174. Let v be ((-132)\/110)\/((-9)\/o). What is the greatest common divisor of 896 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001 (base 2) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 22\/(-12))*(-939)\/17215.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y = -81 - 124 - 15 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/2995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-3)\/(-3)) + 2. What is the nearest to o in -2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737856100.\nAnswer: 2, 5, 17378561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -300*c**5 + 180*c**4 + 1593*c**3 + 1554*c**2 + 441*c = 0.\nAnswer: -1, -7\/10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c**3 - 1 + 1)*(-4 + 4 - 2*c) + 11*c**4 + 6*c**4 - 7*c**4 - 3*c**3 + 3*c**3 + 2*c**4)*(-2*c + c + 2*c).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5 - 3, 0 = -p - 5*h + 18. Let v(z) = -z**2 + 25*z - 47. Let m be v(23). Let i be 1 + m\/((-4)\/6)*-2. Is p <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j - 5. Let r be v(3). Let x = 41 - r. Calculate the least common multiple of x and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = -5*p + 3280. Calculate the highest common divisor of p and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-27))\/((-4)\/3)*22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 1391130?\nAnswer: 1391130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 9*w**2 + 9*w + 4. Let x be l(8). Suppose -2*k + x = -4. Calculate the common denominator of (-82)\/k - (1 + -3) and -52\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3 - 12*m**2 - 5*m**3 + m**3 wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 133*d**4\/3 - 10*d**3\/3 - 29*d**2\/2 + 17*d - 2. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 65?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 383160 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-3))\/(19\/(205884\/(-8)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*k = 36, 0 = k - 13 + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 1, i: 6, g: 8, l: 1}. Give prob of picking 1 a, 1 i, 1 l, and 1 j.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3 - 34. Let w be v(-4). Which is smaller: -47 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*140\/(-126) - 15\/(-10)*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1121.65626 to zero decimal places.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2. Let l(w) = 0*w + 6*w + 2*w. Calculate l(n(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(6)\/sqrt(2) + sqrt(3) - (sqrt(3) + -1 + -4 + sqrt(3))).\nAnswer: -10 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206287980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/((-432)\/(-64))*2\/(-4). Solve 3*t - 1 + 2 = n*g, 3 = -3*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 2\/89847 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -5. Let m = q + 29. Does 11 divide -3*m\/15*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -339, -788, -1431, -2274, -3323, -4584?\n\"Answer: -n**3 - 88*n**2 + 10*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + 35*z + 17. Calculate w(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 800348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13190 and 860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-203) - (-6)\/21\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 559162 and 869.\nAnswer: 6150782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 295, 291, 285, 277, 267?\n\"Answer: -w**2 - w + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 5*d + 6. Let h be v(5). Suppose -5*s = -h*s + 76. Factor s - 9*t**2 - 76 + 3*t**4 - 6*t.\nAnswer: 3*t*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 158*u**3 + 99282*u + 5*u**2 - 99282*u.\nAnswer: -158*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 19923080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-6)*(3300\/(-135))\/(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*l**2 - 24*d**3 - 3*d**2*l**2 - 116*d*l**2 - d*l wrt d.\nAnswer: 6*d*l**2 - 144*d - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 - 2*a + 1. Let l be 0 + 1 - (-4 - -1). Suppose -2*t - 2 = -l. What is y(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/487094 and 131\/138.\nAnswer: 1461282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60476879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34796259 to the nearest integer?\nAnswer: 5899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2971 is divided by 273?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 34307*q - 205840. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 - o**3\/3 + 9*o**2 - 12*o. Does 11 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 87*j**5\/10 - 49*j**2\/2 + 73*j. Differentiate c(i) wrt i.\nAnswer: 522*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:55 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-12))\/(7\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 38 = 2*l, -5*l = 25*q - 26*q - 26. Solve 0 = l*m + 40*m - 132 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353693 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*f**2 - 2144*f**2 + 1045*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.4 + -4. Let g = 0.55 + -0.05. What is the third smallest value in g, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104300 and 800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -451 - -450.9241. Let c = 7.3741 - s. Round c to 1 decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1239 + -1195. Let g(f) = 61*f**2 - 4*f + 6. Let m be g(2). What is the highest common divisor of w and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 + 2 - 13 + 4 + 8 to d*k**2 + a*k + j and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {t: 13, o: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71005150 by -1982.\nAnswer: 35825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - b = 7, -7 = -5*x - b - 0*b. Put x, 0.1, -3, -2.7 in ascending order.\nAnswer: -3, -2.7, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssfsscvc. What is prob of picking 1 v and 1 c?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + w = -w - 16, 0 = -2*r - 4*w - 8. Let f(b) = 3*b**2 + 1 + 7*b + 3*b**2 - 10*b**2 + b**3 + 8 - 2*b**3. List the prime factors of f(r).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 take away -666639?\nAnswer: 666702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5708744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 391535 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068483 is divided by 3331?\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9168*b - 4775*b - 669264 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 12*k - 126. Suppose 176 = -9*w + 25*w. Let r be x(w). Let b(l) = -2*l + 12. Let c(d) = 6*d - 35. Give r*c(z) + 17*b(z).\nAnswer: 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)\/k)\/(k\/(k*k**(-1\/6)))*(k\/k**(1\/11))\/k*k*k**(-5) assuming k is positive.\nAnswer: k**(-2363\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 11 = 12*h - 8*h, 5 = -3*c + 5*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3, 0.4, 2\/3, 2\/1273, -4?\nAnswer: 2\/1273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/21 - -4 - 12\/(-14). Solve 0 = -z*q - q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90075 <= -934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -278*g + 5 + 198*g + 167*g as c + u*g and give u.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -356.80738 to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.10502 + -0.084477. What is h rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*n + 2 - 7, -5*n - 50 = 5*i. Let q(r) = -r**3 - 6*r**2 - 2*r + 7. Calculate q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15912014 to the nearest integer?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -179. Suppose -3*n + 5*y + 1116 = 2*y, -t*n - 5*y + 1461 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n + 54 = 0. Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1584) - 1*sqrt(1584)) + 1)**2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-1 - -1) - 8. Let l(f) be the third derivative of -f**4\/6 + 7*f**3\/6 + 6*f**2. Let c(z) = 6*z - 11. What is i*l(x) - 5*c(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elvueluettveveuejvtu. Give prob of picking 2 u, 1 t, and 1 j.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:13 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 808 + 465. Suppose -m = -22*w + 19*w + q, 2*w + m = 852. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351 + 3*r - 119 - 117 - 115.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -27. Is b < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o**2 - o**2 - 2*o - 3*o**2 - 2*o**3 + 0*o**2. Let g be k(-2). Suppose -g*x - 2 = -134. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1575 = 2193. Let p = r + -72. Let c = 673 + p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*m + 428 = 4*o, -5*o + 704 = -m. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**6\/3 - 17*c**4\/2 + 2755*c**2\/2 + 1426. Find the second derivative of f(q) wrt q.\nAnswer: 40*q**3 - 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27169 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t**2 + 10*t - 71. What is the units digit of i(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02473914602 to four decimal places.\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57200*h - 3*h**3 - 57200*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let v(f) = 1. Let r(a) = 9*a - 9. Let d(g) = -r(g) - 9*v(g). Let c(z) = -4*z. Let t(q) = -5*c(q) + 2*d(q). Calculate t(o(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s**3 + 4*s**2 + 2*s - 4. Suppose -16*b + 9 = -13*b. What is the hundreds digit of v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/5))**(-3\/41) assuming z is positive.\nAnswer: z**(21\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 take away -0.78?\nAnswer: 1474.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 51. Let x(p) = -p - 4. Let d be x(-4). Let m = w - d. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 53*u + 193. Calculate q(-56).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -86, -192, -356, -584, -882?\n\"Answer: -z**3 - 20*z**2 + 13*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1648, 1731, 1892, 2131?\nAnswer: 2448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 18*n**2 - 17*n + 10. What is the tens digit of r(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -4 (b) -0.026489 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2151 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/10 - 32*p**4 - 127*p**3 - 190*p**2 + 167*p + 3. Factor o(v).\nAnswer: -2*(v + 1)**2*(v + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(315)*1)\/(-5*-1*sqrt(405)))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-21)*q*q)\/q*q)**(-32) assuming q is positive.\nAnswer: q**(-768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvhhovohvvhkvvvvh. What is prob of picking 1 q and 1 o?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + g + 24 = -20, 5*s = -3*g + 132. Suppose s = -5*h + 4. Sort -3, -20, h in decreasing order.\nAnswer: -3, h, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from ikibiibnknk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h. Let y(o) = -74*o - 3. Let f(l) = -2*l - 1. Let z(u) = 3*f(u) - y(u). Give z(i(s)).\nAnswer: 204*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -5*u - 0, -3*m = 4*u - 12. Which is smaller: u or 487?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + j**2 - 3. Let c(t) = -t**3 - t. Let q(v) = 5*c(v) + y(v). Let g be q(-3). Is (94\/3)\/((-4)\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + u**3 + u**4 + 68*u**2 + 76*u**2 - 65*u - 153*u**2 as m*u + y*u**3 + c + g*u**4 + t*u**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*q + 24 = 0, -5*s + 2*q = -0*q - 26. Suppose 5*x + s = 8*x. Factor -4*m**x - m - 6 + 1 + 13 - 3*m.\nAnswer: -4*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 66240?\nAnswer: 19872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 3*sqrt(475)*2 + (sqrt(475)*1 + 0)**2 + ((sqrt(684) + 0)*-6 + 0)*6.\nAnswer: -181*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 47*t - 154. Let o be 130\/(-117)*-6 - 1\/(-3). Is y(o) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 60.23. Round d to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/9 - a\/9 - 20\/9.\nAnswer: (a - 5)*(a + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:20 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3995*f**2*t**2*u**2 + 4*f**2*u + 74*f*t**3*u**2 + 2*f*t**3*u + 242198*f*u wrt u.\nAnswer: -7990*f**2*t**2 + 148*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 - 13?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 4924.\nAnswer: 9\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 4*o + 6 = -14*b, 3*b + 12 = -2*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Let l(m) = 7*m - 33. Let p be l(5). Let i(u) = 1 - 10*u**p + 6*u**2 - u**3 + 5*u + 9*u**2 + 3. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 3. Let j be l(3). Let y = j + -10. Suppose -y*t - 3*t + 70 = 0. Solve -z + 4 = -3*s + t, 3*z = 4*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**4\/12 + l**3\/2 - l**2. Is r(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-28)\/(7\/(-1))*-2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3118697*k**3 - 1908878*k wrt k?\nAnswer: -18712182*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 3 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 11*x - 2. Let t be k(10). Suppose t*g - 206 = 6*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -326 - -232. Let m = c - -134. Suppose -4*k + 344 = m. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -14*m - 21. Let s = 5 + m. Let y(d) = -4*d - 3. Let q be y(s). Solve -q*g = 1 + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 + 4*w + 2. Let u(d) = d**3 - 7*d**2 - 5*d - 2. Calculate 5*f(z) + 4*u(z).\nAnswer: -z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56835 and 540?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3 - g**2 + 11 - 6*g - 4. Let t = -274757 - -274749. What is s(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*i - 7387*h + 7382*h, 4*i = -3*h + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g + 4 + 0 - 16*g.\nAnswer: 8*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = z - 3*q, -25 = -3*z + 3*q + 41. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 117635328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106 + (-64)\/(-8) + -11?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/358 and 38\/(9 - (7 - 208\/(-39)))?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(2\/49)\/(c\/(c*c**(-7)*c*c)*c*c**(4\/11)))**(-47) assuming c is positive.\nAnswer: c**(159142\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 36*s + 275. Let g be j(25). Which is the closest to 2\/5? (a) 0.2 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d + 4 - 5 + 1 to the form l*d + i and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -4*2*sqrt(76)) + (sqrt(76) - 1*sqrt(76)*1))\/(sqrt(324) + (sqrt(324)*1*6 - sqrt(324) - sqrt(324)) + -6*1*sqrt(324)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 3, v: 5, h: 7}. What is prob of picking 1 x, 1 h, and 2 v?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 4903, -5, 0.5, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = -2*k - 116 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 28. Suppose 6 = 3*c - o. What is the highest common divisor of c and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/5)\/(2\/10). Let t(h) = -h**2 - 5*h - 2. Let k be t(-2). Let q = k - p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 7*g**2 - g**3 + 4 - 38 + 12*g**3 + 1 + 34 in the form i + u*g**2 + b*g**3 + j*g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 30775.7 kilograms?\nAnswer: 30775700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 764821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82.6 - -73. Round j to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*b + 51405, 14*i + 4*b = 11*i - 30836. What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 55 = 47 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 11 = 301. Let r(y) = -2*y**2 + 12*y - 10. Let f be r(-6). Let n = x - f. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 16*p**2 - 7*p + 4. Let b be f(4). Let y = -999 - -1494. Let v = y - b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 6 = 0. Let n = -3 + s. What is the second derivative of n*y**3 + y**3 - 2*y**4 - 4*y**3 + 6*y wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 72*x**2 + 432*x - 864.\nAnswer: 4*(x - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 5*q + 2*q)*(138 + 154 - 261)*(0 - 2 + 1).\nAnswer: -62*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**5)**(-45) assuming q is positive.\nAnswer: q**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -20. Let f(t) = 5*t - 3. Calculate the lowest common multiple of 6 and f(b).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -29.2. Round a to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6))**3*k**(2\/5)*k**11\/k)**35 assuming k is positive.\nAnswer: k**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 - 10*d**2 - 19*d + 2. Let b(y) = 4*y**3 + 15*y**2 + 28*y - 3. Let f(u) = 5*b(u) + 7*i(u). Let v be f(6). Solve -n + 16 = -v*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - d + 12 = 0, -3*d = -2*g + 8. Let h be ((-4)\/(-7))\/((-34 - -16)\/(-1386)). Calculate the greatest common factor of h and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078023298 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2, 6, -1 in increasing order.\nAnswer: -2, -1, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/88? (a) -4 (b) -1\/23 (c) -3\/13 (d) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10110100100111100010011 (base 2) to base 11\nAnswer: -338270a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/4 + 191125*u**2\/4 + 3922265*u\/2.\nAnswer: -5*u*(u - 38266)*(u + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + n**2 + 8)*(2*n + 1 - 1)*(4 + 0 - 2) + (-2*n - 4*n + 0*n)*(-3*n**2 - n**2 + n**2) to the form k*n + g + a*n**3 + i*n**2 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i. Let z be y(-2). Let d(x) = 4*x + x - z*x. Let n(k) be the third derivative of -11*k**4\/24 + 21*k**2 + 5*k. What is d(n(u))?\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41953 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 85*i + 200*i + 37*i - 18768 = 0 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 17*i**2 + 10*i - 130. What is k(17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 186, -1\/9, -5\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 9. Suppose -y - 3 = -3*f. Let u = 0 + 5. Solve -3 = -u*a + f*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 218.8 - 218.6365. What is g rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 3*u**4 - u**4 + 2*u**3 - 2 + 5*u**4 + 5*u to m*u**4 + o*u**2 + r + g*u + l*u**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/43)\/(m\/(m\/(m**(-24)*m))))**(7\/2) assuming m is positive.\nAnswer: m**(6937\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 48*b = 144 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-16) + (-1)\/((-4)\/3). Solve 0 = -2*w + 2*g - 4 + 18, -z*g = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 10*a - 2 = 0, -3*u = 2*a - 13. Suppose -4*k - 78 = 2*q - 5*q, 81 = u*q - 3*k. Is 30 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022167677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6316579 micrometers to nanometers.\nAnswer: 631.6579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + u - 8 = 0, q + 4*u = -14 + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 52. Let s(k) = -13*k + 3. Let m be s(3). Let p be 2*4\/m*-1. Which is the nearest to p? (a) g (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380 + 0.5?\nAnswer: 7380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -189.673 from -8.265487.\nAnswer: 181.407513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 2*i = -115 + 55, 6 = -5*s - i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + -3 + 3 + 0 + 0 - (((sqrt(1216) - (sqrt(1216)*-4 + 1)) + -2)*3)**2.\nAnswer: -273681 + 2168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324.75us in milliseconds?\nAnswer: 2.32475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let v be (-1 - 0) + 1228\/912. Let i = v + -1\/76. Which is the closest to -0.1? (a) j (b) i (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7968\/400 + (12\/75)\/2. Solve 5*a - 5*d - 20 = n, 0 = -4*a + 3*d + 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 299 - 32*j - 297.\nAnswer: -29*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-10))\/(1\/((-10)\/4)). Suppose 2*p - i*p + 740 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5009495 by 2.\nAnswer: -5009495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from yyiyiiiyii?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7239271 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*z + 784*z - 61*z**2 + 460*z.\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 200\/30 - 1\/(-3). Put 1, -2, a, -1 in descending order.\nAnswer: a, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.41 minus 1632?\nAnswer: -1472.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 59, 135, 253, 419, 639, 919, 1265?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d**3 - 3*d**3)*(82*d**2 - 85*d**2 + 49*d**2).\nAnswer: -230*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327.4 * -0.013.\nAnswer: -4.2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 + 370*a - 6845 = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18482902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/34? (a) -2 (b) 1\/3 (c) 2\/11 (d) 0 (e) 14\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p = 4139 - 5063 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 109, 209, 309, 409, 509?\n\"Answer: 100*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 8*n**2 - 16*n + 59. Give l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {f: 1, c: 1, r: 2, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(132)\/(sqrt(4) + sqrt(484)))\/(sqrt(275)*-3).\nAnswer: -1 - sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7992\/259 + 6*(-8)\/(-336).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*r + 3 = 0, -21 = -0*v - 2*v - 5*r. Suppose 60 = 5*t - 2*a, -4*t = -v*a - 62 + 14. Solve -t = -3*w - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123761000 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from anjjnnainail?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 28 = 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 31 + 24)*(-n + 4*n - 2*n) + 3*n + n - 3*n + (0 - 2 + 4)*(0*n + 3*n - 5*n) to y*n + u and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 + 5*g. Suppose 0 = -20*k - 3*k. Let l be n(k). Let a = 6 - -13. Is l at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 6 - 12*n**2 - 7 + n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 - w**2 - 2*w + 2. Is 4 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 2*d - 189. Let q be r(13). What is the third derivative of 68*b**6 - 142*b**6 - 130*b**q - 2*b**2 - 2*b**2 wrt b?\nAnswer: -24480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29277, 29060, 28699, 28194?\nAnswer: 27545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611721 - 240830. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*z - 103*z - 79 - 87 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let i(m) = 11*m - 4. Let q be i(p). Solve 5*o - 11 = 2*o + g, 0 = 2*o - 5*g - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1115.\nAnswer: -1\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 477.19 - 0.19. Let w = l + -476.9999963. Round w to 7 decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/21)\/(6\/7)*2. Let y be 235\/(-45) - 2\/(-9). Let g = y - -5. What is the nearest to 1\/2 in g, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 592\/(-16) + 115\/3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2348858.73 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z**2 - 7*z + 69. Let u(k) = 12*k**2 + 5*k - 49. Let j(w) = -15*h(w) - 21*u(w). Let a(v) = -29*v. Give a(j(p)).\nAnswer: -87*p**2 + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*3*2*sqrt(171))\/(sqrt(81)\/(3*sqrt(900))).\nAnswer: -3 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 5*u + 7. Let j be f(6). What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*u + 66, -3*u + 3*o - 22 = -4*u. Suppose u - 55 = -4*z + 3*g, -3*z - g = -28. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g - 320. Let h be n(-44). Let m be (-50)\/h + (-12)\/3. Find a such that 1\/6*a**4 - 1\/3*a - m*a**5 + 0 + 1\/2*a**3 - 1\/6*a**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -2, -30.21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-20) + -1 + (-3)\/(-4). Let f(d) = -9*d**2 + 6*d + 1. Let g(o) be the first derivative of o**2\/2 - 2. Let h(c) = -f(c) + 5*g(c). What is h(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1\/3, -16, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/6))\/d*d)\/d**(-10)*(d**(-6)*d*d)\/((d*d**(3\/5))\/d))**(11\/3) assuming d is positive.\nAnswer: d**(2167\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (192\/(-256))\/((-3)\/((-12)\/(-1))). What is the nearest to g in 2, 0.96, 1\/9, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997847.991 seconds to weeks.\nAnswer: 1.6498809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 312, 522, 732, 942?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180913 is divided by 30150?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**2)*b)**(-21\/5) assuming b is positive.\nAnswer: b**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 4\/5 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 581447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let v be 2\/((-2)\/1*m). Which is bigger: 4 or v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*k + 17 - 24 + 7.\nAnswer: -108*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.243 - 14.443. What is the nearest to -9 in o, -6\/11, 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1380\/(-368))\/((-30)\/320)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -77 (b) 0.4 (c) -2 (d) 16 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 268 = -l, 0 = 4*k + 2741*l - 2737*l - 548. Suppose -61 = -b - 3*r, -5*r - 15 = -2*b + 52. What is the remainder when k is divided by b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**3 + i**2 + 3*i - 1. Let j be q(2). Suppose 3*v = -11 + j. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(6\/(-12))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491 (base 12) in base 15?\nAnswer: -aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 6*j. Let a be i(5). Suppose -y + 0*y + 26 = 4*x, -2*y - a*x = -37. Calculate the smallest common multiple of 154 and y.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2027265 or 2027268?\nAnswer: 2027265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -116*u - 239. What is the remainder when n(-3) is divided by 12\/(-10)*(-70)\/3?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/5 (b) 3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k**2 - 4*k**2 + 4*k**2)*(4*k + 0*k - 2*k) - 4*k + 6*k**3 + 4*k)*(-4*k + 3*k + 0*k).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67a + 5?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11212 (base 3) to base 15\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*u, -4*o + 4*u + 18 = -14. Suppose -3*l = 6, -o*y = 4*l - 4 - 8. What is the second derivative of -y*k**3 + 7*k + k + 10*k**3 wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:45 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 37. Let k be h(9). Let u be (k\/20 + 2)*-4. Suppose -3*a = -s + 8, 0 = u*s + 2*a - 0*a - 13. Solve 2*p + 2 = -4*f + s*f, 4*f = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28 + 43)*(-1)\/(-3). Calculate the highest common factor of 185 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -101 and -276?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -3\/4 (c) 2\/13 (d) 4 (e) 19.124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3 - 4 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -127, -0.3, -5?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92b824 - 155?\nAnswer: 92b68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 47 = 35*h - 31*h, -4*p - 5*h = -13. Solve -8*u = -p*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 6, -11, 1, 1\/6, 1.489, -1\/3, -0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 21*g + 2 = -26*g, 0 = -3*p + 3*g. Sort 12, p, 0.\nAnswer: p, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 875\/(-75)*129\/(-7). Calculate the highest common factor of t and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12314692*q**4 - 15662396 wrt q.\nAnswer: 49258768*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(1 - (4 - 2)). Let c = -4 - -4. Suppose 4 = -c*m + m. Solve m*y = 8*b - 4*b, 4*y = d*b - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o + 3*o)*(7 + 1 - 1)*(-725*o**2 + 725*o**2 - 66*o**4).\nAnswer: 462*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 9*y**2 - 8*y + 36. Let x be j(-10). What is the third biggest value in x, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113? (a) 0.2 (b) 172 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 7:52 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 345\/990 + (53\/11 - 60\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 178 - 2*y**2 - 5*y**2 - 3*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6)*-4)\/(-1). Calculate the smallest common multiple of 4 and (-6)\/(-4) + (-1)\/p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 66, 99, 134, 171, 210, 251?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysyyrsyyf. What is prob of sequence ys?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + j - 11 = 2*v, 12*v + 14*j = 11*j - 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012211 (base 3) in base 2?\nAnswer: 1010010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 5*y - 277 - 2822 + 6*y.\nAnswer: -y - 3099","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 8*b + b)*(-3 - b**3 + 3) + b**4 + 0 + b**4 - 2 to z*b**2 + v*b + a*b**4 + p + w*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -31. Let w(k) = -18 - k + 2 + 23*k**2 + j + 7. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/57 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 31, 143, 365, 733, 1283?\nAnswer: 2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from {i: 6, p: 1, b: 3, d: 4, m: 3, e: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = 3*s. Suppose 9*r - 167 = 481. Calculate the remainder when r is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyp when four letters picked without replacement from npmypmnmqpp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.118*1087270.\nAnswer: 128297.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:17 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h + 32. Give y(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 3, 0.5, 3\/5, -20, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/11 - (141 + (-169060)\/869)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 4, -0.4, 0.05, -4, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233 and 16077.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43903126 to the power of 1\/2, to the nearest integer?\nAnswer: 6626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 91.57173us?\nAnswer: 0.00009157173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*p - p. Let w(v) = -1. Let z(k) = k - 5. Calculate p*w(g) + 2*z(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298916730 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4373.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -53. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.044 + -7.59.\nAnswer: -7.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 7:00 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 3*c**3 + 3*c**2 + c.\nAnswer: c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-14) + 4\/(-28). What is the closest to h in 2\/3, 0.05, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 2676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 362825 less than or equal to 362824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 89.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 68.36485 millennia?\nAnswer: 683.6485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*c - 4*c + 26, 0 = -2*u - c + 35. Let a = u + -1. Suppose 0 = 2*p - w - 17, -37 = -4*p - w + 6. Calculate the remainder when a is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-4)*(-691901)\/64197.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 105. Let k = -23 + 23. Calculate the remainder when m(k) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/112*(-147)\/(-4) and 97\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76635, -153270, -229905, -306540, -383175, -459810?\nAnswer: -536445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 81. What is the remainder when 12 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*b - 19, -15 = 3*b - 5*i - 46. Find the second derivative of -111*o**2 + 0*o + 62*o**2 - o + 54*o**b wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -47. Let l = -31.7 + v. Let o be 1\/1 + (-5)\/4. Put 4, o, l in decreasing order.\nAnswer: 4, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(80) + (-3*(0 + sqrt(80)))**2 - ((-1*sqrt(300))\/sqrt(10))\/(-2*(sqrt(150) - sqrt(6))).\nAnswer: 31*sqrt(5)\/8 + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69323420.\nAnswer: 2, 5, 3466171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 25 = -1. Let m(u) = -7665007*u - 14. Let c be m(p). What is c rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 10*t + 4. Let q be l(-3). Is (-8 + 75\/q)\/(1\/(-4058)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t - 54 = 45*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, 268, 3, 5 in decreasing order.\nAnswer: 268, 185, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123676 and 5.53499?\nAnswer: 123670.46501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 190 - 93 + 2*z - 85.\nAnswer: 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/4 - ((-84)\/(-210))\/(24\/(-15)). Factor w*m + m**4 + 3\/2 + 5\/4*m**2 - 4*m**3.\nAnswer: (m - 3)*(m - 2)*(2*m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-7)\/63 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1 + 5 - j - 4. Let s(w) = 15*w + 3. Let b(q) = -2*i(q) + s(q). Suppose -4*c + c = -4*x + 10, c - 2 = 0. Let h(d) = 6*d + 1. Give x*b(o) - 11*h(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 5:08 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:57 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1111866 and -0.5.\nAnswer: -0.6111866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f80 - -5?\nAnswer: -f7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -701 + 673.4. What is x rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**6 + 7*x**2 + 0*x**5 + 0 + 0*x**7 + 3\/112*x**8 + 0*x - 13\/24*x**4 + 0*x**3. Find the second derivative of q(a) wrt a.\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 31 - -13 - -13) + -13\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 245*i + 250.\nAnswer: -5*(i - 1)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101022 + 21111?\nAnswer: 21122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**6)\/u)\/(u\/u**(3\/22)) assuming u is positive.\nAnswer: u**(-151\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 < -682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + 9488.7.\nAnswer: 9570.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -5. Let n = j - 29. Let y = n - -5. Which is the third smallest value? (a) -0.1 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-22)*176\/(-32)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24366*i**4 - i**3 + 5*i**3 + 899*i**2 + 24192*i**4 wrt i?\nAnswer: -4176*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*9*(-3 - (-10)\/3). Suppose 3*d - 69 = -q*w, -3*d - 25*w + 28*w + 93 = 0. What is the remainder when 39 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 47. Suppose 1 + 20 = 3*t - 4*o, 5*t = 4*o + 35. Let r be l(t). Solve -3 = 2*b - j - 5, r*j = 3*b - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 51*g**2 - 44*g + 2. Let q(m) = 34*m - 3. Give q(l(f)).\nAnswer: 1734*f**2 - 1496*f + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*((-1002)\/10688)\/(167\/(-32))\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*t**2 + 24*p*t - 11305553*p + 3798*t**2 - t - 2 wrt t?\nAnswer: -2*p*t + 24*p + 7596*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 480\/(-100)*-35*(-40)\/224\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -610352 + 22?\nAnswer: -610330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (17 - (1104\/16 - 15))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87774, -88023, -88274, -88527?\n\"Answer: -y**2 - 246*y - 87527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33999 (base 12) in base 8?\nAnswer: 206305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/60 - j**4\/6 + j**3\/6 - 272*j**2. Let v(n) = n - 1. Let y be v(-3). Is 15 a factor of u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12068464700 rounded to the nearest 1000000?\nAnswer: 12068000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, 4, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/4))**(1\/7))**(1\/30)\/(c**(-1\/2)*c**(-1)*c*c*c\/((c**(1\/2)\/c)\/c)*c*((c**0*c)\/c*c)\/c) assuming c is positive.\nAnswer: c**(-3359\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61855526 or 61855529?\nAnswer: 61855529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 88 = -5*a + 62, -3*a - 6*p + 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miaveeeivmeu. Give prob of sequence vvme.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 33*m**3 + 11*m**2 + 11*m. Let d(u) = 11*u**3 + 4*u**2 + 4*u. Give 11*d(j) - 4*i(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/198*(-121)\/(-44).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*p - 30*p + 56*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129675 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.8, -1, 5.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15931352 < -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*1\/6*(-15)\/(-10). Is (2234\/x)\/((-15)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41649\/5 + 56\/(-70) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*u + 427 = 0, 4 = -5*u + u. Let p = -71 + q. What is the remainder when (-8)\/6*(-74 + -7) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/((-3)\/(-60)). Let j = v + 14. Suppose -3*a + j*b - 62 = 0, -5 = 2*b + 3. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p + 3. Let c(m) = 203*m - 3 - 98*m - 1 + 1 - 102*m. Give -3*c(l) - 2*i(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (8 - (46 - 29)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 - 513 = -2*s. Suppose 2*j + 186 = 4*v - 10, 4*v + j = s. Suppose -2*f = -6*f + v. Solve -h + f = 5*a - 7, 0 = -4*h - 3*a + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 2*l. Let k(p) = 4*p**2 - 8*p. Determine 2*b(s) + 2*k(s).\nAnswer: 6*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -9 (c) 5 (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7802 and 11938.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 100?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, d: 4, r: 1}. What is prob of sequence mr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2\/11 - 32\/11*d**2 - 34\/11*d = 0.\nAnswer: -1, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3\/5, 1, -3.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:31 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 227*y**7\/210 - 73*y**4\/24 - 28*y**2 + 7. What is the second derivative of u(r) wrt r?\nAnswer: 2724*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 4*q - 4*q)*(-6*q**2 + 4*q**2 + 3*q**2) + (q**2 + 3*q**2 + 0*q**2)*(-3*q + 3*q + 3*q) + 11*q**3 - 25*q + 25*q)*(3*q**2 - 2*q**2 - 2*q**2).\nAnswer: -21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 + 3*p**2 - 3*p + 3. Let b be h(2). What is the highest common divisor of b and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**4\/12 - 7*f**3\/6 + 605*f**2. Calculate r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 n when three letters picked without replacement from nycncycyyd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 - 195*x + 734. Let a(q) = -q**2 - 2*q + 3. Let m(w) = -6*a(w) + h(w). Solve m(t) = 0.\nAnswer: 4, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/7 + (-1)\/((-56)\/(-256)). Let t be v - (1 + -1 - 1) - -23. Is (-21 + t)\/(3387\/(-1693) - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 49*h - 52*h. What is the lowest common multiple of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 69.811119ns?\nAnswer: 0.0000000000193919775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (sqrt(121) + (sqrt(121)*-2 - sqrt(121))*4) - sqrt(121)))\/((sqrt(11) + (sqrt(99) - sqrt(11)))*-4).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/33 and -62\/201075.\nAnswer: 2211825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 91, -5, 2, -24, 33 in increasing order.\nAnswer: -24, -5, 0, 2, 33, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -3*t - 20. Suppose -w - 2*o = 0, -w = o - t + 2. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - -12. Let w(z) = 6*z + 79. Let t(p) = -5*p - 79. Let v(x) = -3*t(x) - 2*w(x). Let y be v(-25). Calculate the greatest common divisor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 986, 1967, 2946, 3923?\nAnswer: 4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5343)\/149604*2\/(-3)*-3\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from cciici.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 914*u - 961*u = -94. Factor -3\/2*h**3 + 0 + 6*h**u - 9\/2*h.\nAnswer: -3*h*(h - 3)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 26 = 4. Let h be 42\/(-5)*(1 + 0)*z. What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 615 in decreasing order.\nAnswer: 615, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-30)*2*15\/(-18). Factor 0 - 50\/9*q**3 + 40\/9*q**2 - w*q.\nAnswer: -2*q*(5*q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -15 + (19 - 36 - -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69797.8 rounded to the nearest 1000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16691 + -9972. Calculate the remainder when d is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -4179*a**5\/5 - 15*a**2 + 10*a - 1100. What is the second derivative of g(z) wrt z?\nAnswer: -50148*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 70*r**2 + 3*r + 4. Let a(j) = 2*j**3 + 70*j**2 + 3*j + 3. Give -4*a(k) + 3*x(k).\nAnswer: -2*k**3 - 70*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 833845 = 2993845. What is g rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2128\/6384)\/((7\/1134)\/(1\/(2\/(-2))))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 104256?\nAnswer: 104253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -21*s + 6428. Let v(x) = -9*x + 2752. Determine -7*t(p) + 16*v(p).\nAnswer: 3*p - 964","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000673 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a713 (base 12) to base 13\nAnswer: -843c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y - 29. Suppose 45 - 80 = -7*s. Let b be h(s). Sort b, 0.2, 0.3, -1\/6.\nAnswer: -1\/6, 0.2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 7 = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.1. Which is the closest to 2? (a) m (b) -0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2559 + 4127?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -35, -66, -95, -122, -147?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*a - 12. What is the lowest common multiple of 112 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, 1616, 12340 in descending order.\nAnswer: 12340, 1616, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:25 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(5\/11)*i)**(-2\/17)\/(i**(-4\/5)\/i**(-31\/5)) assuming i is positive.\nAnswer: i**(-5429\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 317 - 597. Let b be (60\/j)\/((-6)\/32). Factor -8\/7*n**2 + 0 + b*n + 2\/7*n**3.\nAnswer: 2*n*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from qxdfvxk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*v + 185 = 209*v. Let i(r) be the first derivative of 1 + 2\/3*r**6 + 0*r**2 + 0*r**3 + r**4 - 8\/5*r**v + 0*r. Let i(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/133 and 101\/252.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 44. Suppose a*h - 8*h = -42. Let d(v) = v**3 + 7*v**2 + 4*v - 6. Calculate d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8800b (base 13) to base 16\nAnswer: -3c13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -336 + 14*c**4 + 5*c**4 + 423 + (2*c**3 - 5*c**3 + c**3)*(-2*c + 5*c - 4*c).\nAnswer: 21*c**4 + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*s**3 + 9*s**2?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25349, -25358, -25373, -25394?\nAnswer: -25421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*z + 7 - 1 = 0, 4*z - 23 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 3, 2, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 600 = v. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(637).\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/31 (c) 5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475 and 4909885.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 + (0 + 2 - 3)*(-1 + 0 + 3))*(0 - 2 + 3)*(-8 - 20 - 10)*(-3*t + t + 6*t).\nAnswer: 152*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*w**2 + 36743*w**3 + 556*w**2.\nAnswer: 36743*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17243\/1642 + -1\/821. What is the third biggest value in 1, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*j - 31162 = -33292 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 244 - 432 + 5*f to v + m*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/15)*h*h\/(h\/(h**(1\/5)*h)))\/(h**(1\/7)\/h**7) assuming h is positive.\nAnswer: h**(944\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4715 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 180879\nAnswer: -180831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -907546*c + 25781?\nAnswer: -907546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-7 + -6 + 13 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 164\nAnswer: 3\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 38, 51, 70?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((1 - 2) + 2). Let i be 4\/20 + 1\/(-5). Suppose -z + i*z + j = -5, -5*j + 7 = 3*z. Which is the nearest to -1? (a) z (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020 - 10?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -702 - -1065. Let v = -361 + o. Solve -v*y = -24 + 34 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**2 + 9*q**2 + 16*q**2 + 2*q**2 + 2*q**2 - 3*q**2 + (q + 1 - 1)*(-3*q + 0*q + q) - 3 - q**2 + 3)*(-4*q**2 + 3*q**2 + 0*q**2).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1978, -4247, -6518, -8791?\n\"Answer: -v**2 - 2266*v + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-25))\/(-1 + 2 + -2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 457 - 275. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + -4)**2 + -4)*4 + 1)*3.\nAnswer: -576*sqrt(5) + 2307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11700 and 70470?\nAnswer: 9161100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 11)*-4 - -14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 1. Suppose c = -3*h + 6*c + 8, 2*h - 5*c = 2. Suppose -b + 3*b - h = 0. Determine p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52670 and 52670 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (26\/65)\/((276\/(-90))\/23)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(153)*2*4)**2 + (0 + sqrt(153))*-5)*1.\nAnswer: -60*sqrt(17) + 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -25. Solve 0 = 4*c - s*d - 11, 0*c + 3*c = -3*d - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 + 4*z + 6. Let l(k) = -33*k**2 - 11*k - 17. Let a(v) = -6*l(v) - 17*q(v). Find the second derivative of a(g) wrt g.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13161 - -13169. Let x be 1\/(-4) - 36\/(-16). Suppose -x*p = p - 6. Calculate the highest common factor of g and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -19.\nAnswer: 136\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 = 42*g + 39*g - 27*g - 2355 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*i + 1814 = 125*i - 3337 - 2339 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/231 greater than 2996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 11:06 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5613 times -2603\nAnswer: 1461.0639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 32*f = 40 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:36 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153004373 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1606 (base 14) to base 10.\nAnswer: 3926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -19*v - 1. Let x be l(-4). Let f = x - 20. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-9)\/(-10))*((-1323)\/(-35) - 39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -46. Sort q, 5, -4 in ascending order.\nAnswer: q, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - -7) + -7)*2. Find the common denominator of (1 + 104 + 2)\/10 and r\/14 - ((-3095)\/350 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d + 3*d - 12*d + 1. Let w be (-610)\/70 - (-1 + (-18)\/(-14)). Let i be r(w). Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 2*k**2 + k - 3*k**2 - 9*k to the form c*k + y + s*k**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 211265 divided by 5\nAnswer: 42253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 3712*v**2 + 255476*v + 2685072.\nAnswer: -4*(v - 993)*(v + 13)*(v + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15737889.\nAnswer: 3, 5245963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 1)*(-1)\/1. What is the second derivative of -3*d**4 + 5 - n + 2*d - d wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/12, 4, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21.9 (b) 0.5 (c) -3\/8 (d) -8 (e) -0.5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 - (-1 - -10). Suppose 5*b - 5*c + 5 = 0, 6*c - 2*c - 22 = -2*b. Put 0, -10, p, b in decreasing order.\nAnswer: b, 0, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/4 - x. Let h(c) = -2*c**2. Determine h(a(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3 + 9*p**2. Let n(x) = -8*x - 3*x + 13*x + 11. Let f be n(-11). Let o(t) = -2*t**3 - 3*t**2. Calculate f*o(j) - 4*g(j).\nAnswer: 2*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -502.769 to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*w + 0*w - 11*w)*(-w**2 + 6*w**2 - 3*w**2) to the form t*w**2 + z*w**3 + v*w + c and give z.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6 + 16*h - 2 - 48. Let w be r(3). Solve 5*d + 5*q - 30 = 0, 2*d + w = 4*d - 2*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 127 - (4 + -13 + 6). Suppose -14*k + 40*k = a. Solve -2*l - 1 = k, -4*l - 28 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5210 - -5220. Solve -2*u - 9*d = -j*d - 1, 4*d = -20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9549845 and 43\/90.\nAnswer: 171897210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 + 2 = 0, v = -4*b + 285. Suppose 14*p + b = 9*p. Let j be (-6)\/p + 35\/(-49). Which is smaller: j or 17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 105 = -3*l, -3*w = -0*l - 4*l - 166. What is the highest common divisor of 90 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 - 4*o - 7. Calculate p(4).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-660)\/50 + 12)*2\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - s - 33 = 0, 4*s = -3*w + w + 60. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 divided by 1?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18524\/66 - 2\/3. Let h be (-6)\/(-14)*f\/160. What is the biggest value in h, -0.18, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -40 + 1288*h - 113*h + 773*h. Let n be y(-20). What is n rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -761932*z**2 + 1688379*z.\nAnswer: -1523864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -147*z**3\/8 - 18325777995*z**2\/8 + 1308984147*z - 373995471\/2 = 0.\nAnswer: -124665157, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 2*n - 1\/6*n**3 + 0 - 7\/2*n**2 - 1\/120*n**6 + 1\/10*n**5 - 5\/24*n**4. Let a(c) be the first derivative of u(c). Give a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a953a (base 11) to base 12\nAnswer: 78051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3161 - 7?\nAnswer: -a3168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3\/(-12)*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 10*q**2 - 10*q + 13. Let k be x(-11). List the prime factors of (k\/(-6) - 3952\/(-39)) + -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 + n - 1. Let a be c(4). What is the nearest to 1\/4 in a, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*1\/(-6) - (-5 + 9)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7401 is divided by 529?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098916681 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 (-5*d**2 + 2*d**2 + 4*d**2)*(0*d + 2*d + 0*d) + (-d + 1 - 1)*(0*d + 3*d**2 + 0*d) to the form i*d**3 + y*d + v*d**2 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + 2*o - 1. Let y be v(1). Let t = y + 14. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 38. Calculate the remainder when (-20)\/(-110) - (1558\/(-22) - -2) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/44*(1950\/50)\/39).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 2*z - 5*z + 2*z + 30*z**2 to t*z**2 + o*z + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - (90\/24 + 3\/12). Suppose 4*k - 14 = i*v + 50, 5*k + 5*v = 30. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from hhhlxhhhyxlhhlhyxhh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3252 is divided by 141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -0, 3*b = -o + 8. What is the first derivative of -4*s**b + 4 + 0 + 0*s**2 wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/21)\/((32\/12)\/4). Let n be 40\/z - (1 + 4). Solve 0 = 3*l - n*b + 17, 4*l + 3*b - 14 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-5))\/(-1) - (-84)\/15. What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a millennium in decades?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:20 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -12)*-1 + (-1 - 2). Let v be 2 - 0 - (-20)\/h. Let 0 + 2\/3*c + 4\/3*c**2 + v*c**3 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 27*l - 3 + 13 + 4 + 1. Let h(o) = -4*o - 2. Calculate -15*h(r) - 2*u(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/15)\/(126\/(-756)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8050 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199704?\nAnswer: 2, 11, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 5. Let g be r(-7). Suppose -2*p - g = -2*b - 2*b, 0 = -5*p - 4*b + 9. What are the prime factors of (p\/3)\/(1\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 1 + 1 + (0 + 3 - 1)*(3*a + a - 3*a) - 11*a - 9*a + 9*a + 117*a + 202*a - 26*a - 2*a + 52*a in the form f + t*a and give t.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*5\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+100\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 24*o**4 + 3 + 0 + 5*o**3 - o**4 + 39*o**4 as m*o**4 + l*o**2 + j*o + k*o**3 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87687302\/127 - -690443. Let d be 2 + 3816\/(-1905) + 0\/(-4). Let w = k + d. What is the common denominator of 48\/7 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (101*n**3 - 351*n**3 - 568*n**3)*(-2 - 2 + 1 - 2) to q*n + y + w*n**2 + g*n**3 and give g.\nAnswer: 4090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 73. Let n(u) = 5*u**3 - 3*u**2 - 7*u - 4*u**3 + j*u**2. Give n(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 1 - 9. Let v(m) = 0*m - 5*m + 2 - 9*m**y + 10*m**2. Let g be v(5). Solve -3 = g*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*b**3 + 5*b**2*r + 12*b*r - 975681*r with respect to b.\nAnswer: 855*b**2 + 10*b*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Let l(o) = -o + 15. Let y be l(15). Solve k - 2\/5*g**4 - 2\/5*g**3 + y*g + 2\/5*g**2 + 2\/5*g**5 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623693 is divided by 970?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -58*a - 1542. Give l(-32).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1355566 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p + 3. Let t(f) = f**3 - 3*f**2 - 2*f. Let u be t(3). Let c be m(u). What is the remainder when 26 is divided by 2 + c\/1 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 3*o - 4. Let b be k(5). Suppose g - 6 = b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3 - 9938*a**2 - 11124504*a + 11134440 = 0.\nAnswer: -942, 1, 5910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let d(q) = q - 3. Let c(n) = 4*n - 10. Let j(p) = -6*c(p) + 20*d(p). What is j(l(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21952 divided by 14\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**10\/151200 + c**6\/360 + c**5\/30 - 2*c**2. Let s(z) be the third derivative of u(z). Differentiate s(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -172746.5576?\nAnswer: 172746.9576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427131 divided by -9.\nAnswer: -47459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 228 = 9*y + 12*y. Suppose 5*p - 4*a - 26 = 0, 5*p - 5*a = 26 + 4. What is the smallest common multiple of p and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1954558\nAnswer: -5\/1954558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 - 144. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6609267 and 24353?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10158132 by -6.\nAnswer: -1693022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:08 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -31*p**8\/56 + 9*p**4\/4 - 37*p. Find the third derivative of s(v) wrt v.\nAnswer: -3720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3801 and -50\/3003.\nAnswer: 543543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2*(6\/(-12) - -4). Let v(z) be the second derivative of -z**3\/3 - 2*z**2 - 14*z. Let f(g) = -1. Let c(a) = 10*f(a) - v(a). What is c(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2584 and 26844?\nAnswer: 17341224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 15*b**2 - 2*b + 23. Let k = 121 - 106. Give m(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/4 + -1)*-4. What are the prime factors of 2 + w*(15 - 3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16023 is divided by 171.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m. Let l(s) = -13*s. Let y(n) = -3*l(n) + 5*z(n). Let i(h) be the second derivative of 0 + 0*h**2 + 1\/3*h**3 + h. What is i(y(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130030 (base 4) to base 11.\nAnswer: 13a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*f**2*t**3 - 4*f*t**3 + 11*f + 3*t**3 wrt f.\nAnswer: -164*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 99*s**2 - 3546*s + 6238. Give c(34).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 81*u**3 - 87. Let o(m) = 40*m**3 - 43. Let p(y) = 5*o(y) - 2*t(y). Differentiate p(n) wrt n.\nAnswer: 114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6877356*l**2 - 3438678*l**2 - 3438687*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 + 30*k - 29*k + 115)*(5*k**2 - k**2 - 2*k**2) in the form d*k**3 + w + v*k + b*k**2 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (2 - 2)\/(-4). Let i(p) = 4 - 6*p**2 + 2*p**s - 7 + 2 + 9. What are the prime factors of i(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208702024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -8.3\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 352032175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 74*d = 78*d - 730 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 2. Let z be k(-1). Suppose -z*t = 3*t - 15. Suppose t*q - 3 = 0, 0 = 5*u - 3*q - 66 - 41. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-3 - 3 + 3)*(-x**2 + x**2 + x**3)*((-3 + 2 + 3)*(2 - 1 + 1) + 2 - 2 - 2).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.1. Let l = 3604.7 + -3870. Let f = 265 + l. Which is the closest to h? (a) 0.5 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/2780 and 133\/1980.\nAnswer: 275220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 23. Suppose 0 = -5*d - 2*l + 24, -2*d + b = -l - 5. What is the first derivative of -89*f**4 - 3*f - d + 3*f + 88*f**4 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.62 - -0.08. Let h = a - -0.04. What is the third smallest value in 1, h, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001097397001 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 12, -4*y + 272 = 4*v. Suppose -y = -2*p + 86. Suppose -2*i = i - p. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16*f - 5*f + 6*f)*(-f**4 + 5044*f - 5044*f + 16*f**3).\nAnswer: 15*f**5 - 241*f**4 + 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + 2*v**2)*(-132*v - 1151*v - 1531*v + 8*v).\nAnswer: -5612*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -158. Calculate the highest common divisor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/6 - 2\/(-3). Suppose -3*y + 15 = 2*y. Suppose -2*g = y*x - g - 2, -5*x + 4 = g. Which is the closest to 1? (a) -1\/3 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008) - sqrt(1008)*2) + 5 + (-6*4*(sqrt(1008) + -2))**2 + -3)*-5.\nAnswer: -2914570 + 138480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + 4)*1 - ((-1210)\/22 + -29299)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/166696448 and 81\/1024.\nAnswer: 333392896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5 - -3) + 6 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from {g: 2, t: 3, m: 10}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 + -105. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11011011?\nAnswer: 11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from aayyaylaa?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/3 - 300*q. Let c(o) = -67*o**2. Calculate c(m(k)).\nAnswer: -268*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*j + 1 = 0, 3*c + j + 19 = -0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*o + n, 3*n = -5*o + 4*o - 2. Find the first derivative of -1 + 9*s**2 + o*s + 3 - 4*s wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/98 and 117\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 7*z - 7. Let h be y(-8). Let x = h + 15. Suppose -7 = 5*d + 8, -l - 2*d + 18 = x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5177786 (base 10) to base 5\nAnswer: 2311142121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5957 + 6067 = 110*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -209, -317, -363, -293, -53?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5960896 - 1781896. Round l to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 869 + 869.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19120 divided by 3824.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - -28) + (-42 - -8 - -25)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 18) + (13 + -10 - 13 - 5) + 88\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b + 6 = -54*b. Solve b*k - 20 = -11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(-4*(2*sqrt(84) - sqrt(84)) + -1*sqrt(84)*5)\/((2*sqrt(84))\/sqrt(7) - -2*sqrt(192)).\nAnswer: 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 1009, 5, -5, 2, -4 in descending order.\nAnswer: 1009, 5, 2, 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s - 886775 = -255*s + 101484736. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551 - -550.994312. What is h rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/480 - (-2)\/(-16))\/(1740\/(-117450)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 3\/16 (c) -1 (d) 1\/3 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-44)\/(k\/k**18*k) assuming k is positive.\nAnswer: k**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 665731127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12) + (-3)\/2)\/((-25)\/200)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:49 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + q**2 - q**2 + (4067*q**2 - 2023*q**2 - 2008*q**2)*(-1 - 2 + 4).\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400.8 - -363. Let y = i + 38. Sort -0.4, 5, y in increasing order.\nAnswer: -0.4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose -n + 21 = k, 0*n + s*n - 67 = -k. Let g = n + -13. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000694718626 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 22 = -250 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 0*v + 6*v - 6 - 3*v - 7 - 6.\nAnswer: 3*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfxx when four letters picked without replacement from {p: 2, x: 3, y: 1, v: 1, f: 2, u: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4487\/6 - -748. What is the third smallest value in -2\/17, -0.2, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3118*132.\nAnswer: 173.1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -484*v**2 - 159*v - 1. Give y(1).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0 + 0)*(-3*r**2 - r**2 + 3*r**2)*(16*r + 25*r - 24*r).\nAnswer: -17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:32 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22991 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -395, -422, -467, -530?\n\"Answer: -9*a**2 - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 0*j = 48 - 78 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4219*q**4 + 4826*q**2 wrt q.\nAnswer: -101256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*v**3*y + 546*v**3 + 34*v*y**4 with respect to y.\nAnswer: 43*v**3 + 136*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22863841 a multiple of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299076?\nAnswer: 2, 3, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -355 (c) 10 (d) 54 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32068\/3 - -10689. What is the nearest to l in 4\/7, -1, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*m - 191*m + 3*d - 1 = 0, 3*m = -2*d - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = 5*h, 4*x = 4*h - 0*h + 24. Solve 15 = x*w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 4:33 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 1705*r - 3409. Determine i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1356130402 - 130.31.\nAnswer: -1356130532.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657964127 to the power of 1\/3, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 12\/9*-3. Let k be 3\/5 - (-2)\/c. Let -k*w**2 - 1\/5*w + 2\/5 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288 - 286.49. Let w = z - 6.51. Which is the nearest to 1? (a) 0.3 (b) 8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(7) - sqrt(11)) + -4 + sqrt(99)\/(sqrt(9)*-2).\nAnswer: -4 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 4*y**3 + 2*y**2 + 4*y**2 - 6537*y**4 + 3 + 6539*y**4 - 2*y**2 as f + d*y + k*y**3 + u*y**4 + o*y**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 9*m**2 - 11*m + 3. Let o(t) = -t**3 - 9*t**2 + 11*t - 2. Let q(j) = -7*o(j) - 6*r(j). Calculate q(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 240 and -0.1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, and 1 t when three letters picked without replacement from mmajmjtmjmjam?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21493501*p**5 + 125596*p**2 - 49*p.\nAnswer: 1289610060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d27d - -5?\nAnswer: -d278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/6, 0.2, -2\/5, -3\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 + -220. Find the common denominator of (-2)\/10 + 88\/20 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10 and 27\/436838.\nAnswer: 2184190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:33 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176682 is divided by 196082?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524112 divided by -174704.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-10)*(-2)\/(-6) - 91\/294. Which is the fourth biggest value? (a) j (b) -4 (c) -6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (0 - (9 + -4) - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1556087*h**5 - h**2 - 362084.\nAnswer: 93365220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 9*f**2 - 5*f - 1. Let j(o) = -o**2. Let x(q) = -c(q) + 3*j(q). Suppose 4*a - a = 0. Suppose 6*p + 5 + 25 = a. Determine x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 902\/9*x + 224\/3 + 232\/9*x**2 + 2\/9*x**3.\nAnswer: 2*(x + 1)*(x + 3)*(x + 112)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3*a**5\/5 + 21*a**4\/2 + 43*a**3 + 45*a**2 + 839. Determine z so that v(z) = 0.\nAnswer: -10, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269879*j - 6 + 89962*j + 89936*j + 89950*j.\nAnswer: -31*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -65345.53 to the nearest 100.\nAnswer: -65300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 - 4*z - 3. Let k be v(-3). Suppose -5*b + 2*s = -s - 6, k = 2*b + 2*s + 4. Solve 5*f = 4*x - 21, b = -f + 3*f - x + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cooc. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 1813?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*f**4\/4 + 68537*f**3\/4 + 15221*f**2\/4 - 68537*f\/4 - 7615\/2 = 0. Calculate f.\nAnswer: -7615, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:07 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose -w*v - 45 = -4*u - 0*u, -14 = -u - 2*v. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4668039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17154 + 6?\nAnswer: 17161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 2*i. Suppose 26*u - 27*u + 1395 = i. Suppose -11*j + 16*j - u = 0. Calculate the highest common divisor of 31 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o - 45. Let h(d) = d**3 - 2*d**2 - d + 10. Let q be h(0). Let j be c(q). Let u = -4 - -18. What is the greatest common factor of j and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 8*i + 850790, 10*a = 7*a - 2*i + 850840. Round a to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 - o**3 + 5*o**2 + 2*o**3 + 27 as r*o + n*o**2 + u + l*o**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27847319 divided by 1210753?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277163348?\nAnswer: 2, 7, 11, 899881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1057780b3 + -5?\nAnswer: -1057780b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 19*t**3\/3 + 13*t**2\/2 - 293. Let w(v) = -3*v**2 - 2*v. Determine 6*r(x) + 39*w(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 6. Let u(a) = 8*a - 17. Let z(v) = -17*d(v) + 6*u(v). Let i be z(-2). Find the first derivative of 18*r + i*r - 9 - 14*r wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2194*m**4 - 335*m**2 + 2*m wrt m?\nAnswer: -52656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10016344 and 34632?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*f + 5*s + 39, 6*f + 6*f - 16*f + 8*s = 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o - 1244 = -2*h, -3*h + 4*o + 1900 = 0. Let p be (-4)\/9*6\/h. Let b = p + -47\/1256. Is b <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/30 + 25*a**4\/24 + 3*a**3 + a**2 + 3*a + 121. Calculate w(11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let d(j) = 14*j + 58. Let v(w) = 2*d(w) - 22*r(w). Let i be v(-19). Let a(h) be the first derivative of -h**4\/2 + 2*h**3\/3 + h**2 + 1. Give a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 35\/(-5) - -4. Solve 16 = 5*h + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -7. Let a = 7221 + -7113. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10809 and 9284931?\nAnswer: 9284931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 115248.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + 186\/(-12))*(-4)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + 3*sqrt(1008) + 1)*3*-6*6)**2.\nAnswer: 41990400*sqrt(7) + 2646561600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8 + 2*i - 3*i**2 + 2*i**2 + 10. Suppose 3*t - 8 + 2 = 0. Let p(u) be the first derivative of u**2\/2 + u - 3. Calculate t*p(g) - x(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-309)\/(-129) - (1 - -1). Let v = 2\/182995 - -253447903\/15737570. Let w = i + v. Calculate the common denominator of w and 31\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-64))\/((-18)\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1113 and 1113.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-351)*(-48)\/32\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}